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Multiple Loss Ratio Search
draft-ietf-bmwg-mlrsearch-08

Document Type Active Internet-Draft (bmwg WG)
Authors Maciek Konstantynowicz , Vratko Polák
Last updated 2025-01-03 (Latest revision 2024-10-21)
Replaces draft-vpolak-mkonstan-bmwg-mlrsearch
RFC stream Internet Engineering Task Force (IETF)
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Stream WG state WG Consensus: Waiting for Write-Up
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Jan 2025
Draft on Multiple Loss Ratio Search to IESG Review
Document shepherd Giuseppe Fioccola
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Send notices to giuseppe.fioccola@huawei.com
draft-ietf-bmwg-mlrsearch-08
Benchmarking Working Group                            M. Konstantynowicz
Internet-Draft                                                  V. Polak
Intended status: Informational                             Cisco Systems
Expires: 24 April 2025                                   21 October 2024

                       Multiple Loss Ratio Search
                      draft-ietf-bmwg-mlrsearch-08

Abstract

   This document proposes extensions to [RFC2544] throughput search by
   defining a new methodology called Multiple Loss Ratio search
   (MLRsearch).  MLRsearch aims to minimize search duration, support
   multiple loss ratio searches, and enhance result repeatability and
   comparability.

   The primary reason for extending [RFC2544] is to address the
   challenges and requirements presented by the evaluation and testing
   the data planes of software-based networking systems.

   To give users more freedom, MLRsearch provides additional
   configuration options such as allowing multiple short trials per load
   instead of one large trial, tolerating a certain percentage of trial
   results with higher loss, and supporting the search for multiple
   goals with varying loss ratios.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.

   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on 24 April 2025.

Copyright Notice

   Copyright (c) 2024 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

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   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents (https://trustee.ietf.org/
   license-info) in effect on the date of publication of this document.
   Please review these documents carefully, as they describe your rights
   and restrictions with respect to this document.  Code Components
   extracted from this document must include Revised BSD License text as
   described in Section 4.e of the Trust Legal Provisions and are
   provided without warranty as described in the Revised BSD License.

Table of Contents

   1.  Purpose and Scope . . . . . . . . . . . . . . . . . . . . . .   4
   2.  Identified Problems . . . . . . . . . . . . . . . . . . . . .   5
     2.1.  Long Search Duration  . . . . . . . . . . . . . . . . . .   5
     2.2.  DUT in SUT  . . . . . . . . . . . . . . . . . . . . . . .   6
     2.3.  Repeatability and Comparability . . . . . . . . . . . . .   8
     2.4.  Throughput with Non-Zero Loss . . . . . . . . . . . . . .   9
     2.5.  Inconsistent Trial Results  . . . . . . . . . . . . . . .  10
   3.  MLRsearch Specification . . . . . . . . . . . . . . . . . . .  10
     3.1.  Overview  . . . . . . . . . . . . . . . . . . . . . . . .  11
     3.2.  Quantities  . . . . . . . . . . . . . . . . . . . . . . .  12
     3.3.  Existing Terms  . . . . . . . . . . . . . . . . . . . . .  12
       3.3.1.  SUT . . . . . . . . . . . . . . . . . . . . . . . . .  12
       3.3.2.  DUT . . . . . . . . . . . . . . . . . . . . . . . . .  13
       3.3.3.  Trial . . . . . . . . . . . . . . . . . . . . . . . .  13
     3.4.  Trial Terms . . . . . . . . . . . . . . . . . . . . . . .  14
       3.4.1.  Trial Duration  . . . . . . . . . . . . . . . . . . .  14
       3.4.2.  Trial Load  . . . . . . . . . . . . . . . . . . . . .  14
       3.4.3.  Trial Input . . . . . . . . . . . . . . . . . . . . .  15
       3.4.4.  Traffic Profile . . . . . . . . . . . . . . . . . . .  16
       3.4.5.  Trial Forwarding Ratio  . . . . . . . . . . . . . . .  17
       3.4.6.  Trial Loss Ratio  . . . . . . . . . . . . . . . . . .  17
       3.4.7.  Trial Forwarding Rate . . . . . . . . . . . . . . . .  18
       3.4.8.  Trial Effective Duration  . . . . . . . . . . . . . .  18
       3.4.9.  Trial Output  . . . . . . . . . . . . . . . . . . . .  19
       3.4.10. Trial Result  . . . . . . . . . . . . . . . . . . . .  19
     3.5.  Goal Terms  . . . . . . . . . . . . . . . . . . . . . . .  19
       3.5.1.  Goal Final Trial Duration . . . . . . . . . . . . . .  20
       3.5.2.  Goal Duration Sum . . . . . . . . . . . . . . . . . .  20
       3.5.3.  Goal Loss Ratio . . . . . . . . . . . . . . . . . . .  21
       3.5.4.  Goal Exceed Ratio . . . . . . . . . . . . . . . . . .  21
       3.5.5.  Goal Width  . . . . . . . . . . . . . . . . . . . . .  21
       3.5.6.  Goal Initial Trial Duration . . . . . . . . . . . . .  22
       3.5.7.  Search Goal . . . . . . . . . . . . . . . . . . . . .  23
       3.5.8.  Controller Input  . . . . . . . . . . . . . . . . . .  23
     3.6.  Auxiliary Terms . . . . . . . . . . . . . . . . . . . . .  25
       3.6.1.  Current and Final Quantities  . . . . . . . . . . . .  25
       3.6.2.  Trial Classification  . . . . . . . . . . . . . . . .  25

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       3.6.3.  Load Classification . . . . . . . . . . . . . . . . .  26
     3.7.  Result Terms  . . . . . . . . . . . . . . . . . . . . . .  27
       3.7.1.  Relevant Upper Bound  . . . . . . . . . . . . . . . .  28
       3.7.2.  Relevant Lower Bound  . . . . . . . . . . . . . . . .  28
       3.7.3.  Conditional Throughput  . . . . . . . . . . . . . . .  28
       3.7.4.  Goal Results  . . . . . . . . . . . . . . . . . . . .  29
       3.7.5.  Search Result . . . . . . . . . . . . . . . . . . . .  30
       3.7.6.  Controller Output . . . . . . . . . . . . . . . . . .  31
     3.8.  MLRsearch Architecture  . . . . . . . . . . . . . . . . .  31
       3.8.1.  Measurer  . . . . . . . . . . . . . . . . . . . . . .  31
       3.8.2.  Controller  . . . . . . . . . . . . . . . . . . . . .  32
       3.8.3.  Manager . . . . . . . . . . . . . . . . . . . . . . .  33
     3.9.  Compliance  . . . . . . . . . . . . . . . . . . . . . . .  33
       3.9.1.  Test Procedure Compliant with MLRsearch . . . . . . .  33
       3.9.2.  MLRsearch Compliant with RFC2544  . . . . . . . . . .  34
       3.9.3.  MLRsearch Compliant with TST009 . . . . . . . . . . .  35
   4.  Further Explanations  . . . . . . . . . . . . . . . . . . . .  35
     4.1.  Binary Search . . . . . . . . . . . . . . . . . . . . . .  35
     4.2.  Stopping Conditions and Precision . . . . . . . . . . . .  36
     4.3.  Loss Ratios and Loss Inversion  . . . . . . . . . . . . .  36
       4.3.1.  Single Goal and Hard Bounds . . . . . . . . . . . . .  36
       4.3.2.  Multiple Goals and Loss Inversion . . . . . . . . . .  37
       4.3.3.  Conservativeness and Relevant Bounds  . . . . . . . .  37
       4.3.4.  Consequences  . . . . . . . . . . . . . . . . . . . .  38
     4.4.  Exceed Ratio and Multiple Trials  . . . . . . . . . . . .  38
     4.5.  Short Trials and Duration Selection . . . . . . . . . . .  39
     4.6.  Generalized Throughput  . . . . . . . . . . . . . . . . .  39
       4.6.1.  Hard Performance Limit  . . . . . . . . . . . . . . .  40
       4.6.2.  Performance Variability . . . . . . . . . . . . . . .  40
   5.  MLRsearch Logic and Example . . . . . . . . . . . . . . . . .  41
     5.1.  Load Classification Logic . . . . . . . . . . . . . . . .  41
     5.2.  Conditional Throughput Logic  . . . . . . . . . . . . . .  42
     5.3.  SUT Behaviors . . . . . . . . . . . . . . . . . . . . . .  43
       5.3.1.  Expert Predictions  . . . . . . . . . . . . . . . . .  44
       5.3.2.  Exceed Probability  . . . . . . . . . . . . . . . . .  44
       5.3.3.  Trial Duration Dependence . . . . . . . . . . . . . .  44
     5.4.  Example Search  . . . . . . . . . . . . . . . . . . . . .  45
       5.4.1.  Example Goals . . . . . . . . . . . . . . . . . . . .  46
       5.4.2.  Example Trial Results . . . . . . . . . . . . . . . .  47
       5.4.3.  Load Classification Computations  . . . . . . . . . .  48
       5.4.4.  Conditional Throughput Computations . . . . . . . . .  56
   6.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .  60
   7.  Security Considerations . . . . . . . . . . . . . . . . . . .  60
   8.  Acknowledgements  . . . . . . . . . . . . . . . . . . . . . .  60
   9.  Appendix A: Load Classification . . . . . . . . . . . . . . .  60
   10. Appendix B: Conditional Throughput  . . . . . . . . . . . . .  62
   11. Index . . . . . . . . . . . . . . . . . . . . . . . . . . . .  63
   12. References  . . . . . . . . . . . . . . . . . . . . . . . . .  66

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     12.1.  Normative References . . . . . . . . . . . . . . . . . .  66
     12.2.  Informative References . . . . . . . . . . . . . . . . .  66
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  67

1.  Purpose and Scope

   The purpose of this document is to describe the Multiple Loss Ratio
   search (MLRsearch) methodology, optimized for determining data plane
   throughput in software-based networking devices and functions.

   Applying vanilla [RFC2544] throughput bisection to software DUTs
   results in several problems:

   *  Binary search takes too long as most trials are done far from the
      eventually found throughput.

   *  The required final trial duration and pauses between trials
      prolong the overall search duration.

   *  Software DUTs show noisy trial results, leading to a big spread of
      possible discovered throughput values.

   *  Throughput requires a loss of exactly zero frames, but the
      industry frequently allows for small but non-zero losses.

   *  The definition of throughput is not clear when trial results are
      inconsistent.

   To address these problems, the MLRsearch test methodology
   specification employs the following enhancements:

   *  Allow multiple short trials instead of one big trial per load.

      -  Optionally, tolerate a percentage of trial results with higher
         loss.

   *  Allow searching for multiple Search Goals, with differing loss
      ratios.

      -  Any trial result can affect each Search Goal in principle.

   *  Insert multiple coarse targets for each Search Goal, earlier ones
      need to spend less time on trials.

      -  Earlier targets also aim for lesser precision.

      -  Use Forwarding Rate (FR) at maximum offered load [RFC2285]
         (Section 3.6.2) to initialize bounds.

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   *  Take care when dealing with inconsistent trial results.

      -  Reported throughput is smaller than the smallest load with high
         loss.

      -  Smaller load candidates are measured first.

   *  Apply several load selection heuristics to save even more time by
      trying hard to avoid unnecessarily narrow bounds.

   Some of these enhancements are formalized as MLRsearch specification,
   the remaining enhancements are treated as implementation details,
   thus achieving high comparability without limiting future
   improvements.

   MLRsearch configuration options are flexible enough to support both
   conservative settings and aggressive settings.  The conservative
   settings lead to results unconditionally compliant with [RFC2544],
   but longer search duration and worse repeatability.  Conversely,
   aggressive settings lead to shorter search duration and better
   repeatability, but the results are not compliant with [RFC2544].

   No part of [RFC2544] is intended to be obsoleted by this document.

2.  Identified Problems

   This chapter describes the problems affecting usability of various
   performance testing methodologies, mainly a binary search for
   [RFC2544] unconditionally compliant throughput.

2.1.  Long Search Duration

   The emergence of software DUTs, with frequent software updates and a
   number of different frame processing modes and configurations, has
   increased both the number of performance tests required to verify the
   DUT update and the frequency of running those tests.  This makes the
   overall test execution time even more important than before.

   The current [RFC2544] throughput definition restricts the potential
   for time-efficiency improvements.  A more generalized throughput
   concept could enable further enhancements while maintaining the
   precision of simpler methods.

   The bisection method, when unconditionally compliant with [RFC2544],
   is excessively slow.  This is because a significant amount of time is
   spent on trials with loads that, in retrospect, are far from the
   final determined throughput.

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   [RFC2544] does not specify any stopping condition for throughput
   search, so users already have an access to a limited trade-off
   between search duration and achieved precision.  However, each full
   60-second trials doubles the precision, so not many trials can be
   removed without a substantial loss of precision.

2.2.  DUT in SUT

   [RFC2285] defines:

   DUT as:

   *  The network frame forwarding device to which stimulus is offered
      and response measured [RFC2285] (Section 3.1.1).

   SUT as:

   *  The collective set of network devices as a single entity to which
      stimulus is offered and response measured [RFC2285]
      (Section 3.1.2).

   [RFC2544] specifies a test setup with an external tester stimulating
   the networking system, treating it either as a single DUT, or as a
   system of devices, an SUT.

   In the case of software networking, the SUT consists of not only the
   DUT as a software program processing frames, but also of server
   hardware and operating system functions, with that server hardware
   resources shared across all programs including the operating system.

   Given that the SUT is a shared multi-tenant environment encompassing
   the DUT and other components, the DUT might inadvertently experience
   interference from the operating system or other software operating on
   the same server.

   Some of this interference can be mitigated.  For instance, pinning
   DUT program threads to specific CPU cores and isolating those cores
   can prevent context switching.

   Despite taking all feasible precautions, some adverse effects may
   still impact the DUT's network performance.  In this document, these
   effects are collectively referred to as SUT noise, even if the
   effects are not as unpredictable as what other engineering
   disciplines call noise.

   DUT can also exhibit fluctuating performance itself, for reasons not
   related to the rest of SUT.  For example due to pauses in execution
   as needed for internal stateful processing.  In many cases this may

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   be an expected per-design behavior, as it would be observable even in
   a hypothetical scenario where all sources of SUT noise are
   eliminated.  Such behavior affects trial results in a way similar to
   SUT noise.  As the two phenomenons are hard to distinguish, in this
   document the term 'noise' is used to encompass both the internal
   performance fluctuations of the DUT and the genuine noise of the SUT.

   A simple model of SUT performance consists of an idealized noiseless
   performance, and additional noise effects.  For a specific SUT, the
   noiseless performance is assumed to be constant, with all observed
   performance variations being attributed to noise.  The impact of the
   noise can vary in time, sometimes wildly, even within a single trial.
   The noise can sometimes be negligible, but frequently it lowers the
   observed SUT performance as observed in trial results.

   In this model, SUT does not have a single performance value, it has a
   spectrum.  One end of the spectrum is the idealized noiseless
   performance value, the other end can be called a noiseful
   performance.  In practice, trial result close to the noiseful end of
   the spectrum happens only rarely.  The worse the performance value
   is, the more rarely it is seen in a trial.  Therefore, the extreme
   noiseful end of the SUT spectrum is not observable among trial
   results.  Also, the extreme noiseless end of the SUT spectrum is
   unlikely to be observable, this time because some small noise effects
   are likely to occur multiple times during a trial.

   Unless specified otherwise, this document's focus is on the
   potentially observable ends of the SUT performance spectrum, as
   opposed to the extreme ones.

   When focusing on the DUT, the benchmarking effort should ideally aim
   to eliminate only the SUT noise from SUT measurements.  However, this
   is currently not feasible in practice, as there are no realistic
   enough models available to distinguish SUT noise from DUT
   fluctuations, based on authors' experience and available literature.

   Assuming a well-constructed SUT, the DUT is likely its primary
   performance bottleneck.  In this case, we can define the DUT's ideal
   noiseless performance as the noiseless end of the SUT performance
   spectrum, especially for throughput.  However, other performance
   metrics, such as latency, may require additional considerations.

   Note that by this definition, DUT noiseless performance also
   minimizes the impact of DUT fluctuations, as much as realistically
   possible for a given trial duration.

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   MLRsearch methodology aims to solve the DUT in SUT problem by
   estimating the noiseless end of the SUT performance spectrum using a
   limited number of trial results.

   Any improvements to the throughput search algorithm, aimed at better
   dealing with software networking SUT and DUT setup, should employ
   strategies recognizing the presence of SUT noise, allowing the
   discovery of (proxies for) DUT noiseless performance at different
   levels of sensitivity to SUT noise.

2.3.  Repeatability and Comparability

   [RFC2544] does not suggest to repeat throughput search.  And from
   just one discovered throughput value, it cannot be determined how
   repeatable that value is.  Poor repeatability then leads to poor
   comparability, as different benchmarking teams may obtain varying
   throughput values for the same SUT, exceeding the expected
   differences from search precision.

   [RFC2544] throughput requirements (60 seconds trial and no tolerance
   of a single frame loss) affect the throughput results in the
   following way.  The SUT behavior close to the noiseful end of its
   performance spectrum consists of rare occasions of significantly low
   performance, but the long trial duration makes those occasions not so
   rare on the trial level.  Therefore, the binary search results tend
   to wander away from the noiseless end of SUT performance spectrum,
   more frequently and more widely than short trials would, thus causing
   poor throughput repeatability.

   The repeatability problem can be addressed by defining a search
   procedure that identifies a consistent level of performance, even if
   it does not meet the strict definition of throughput in [RFC2544].

   According to the SUT performance spectrum model, better repeatability
   will be at the noiseless end of the spectrum.  Therefore, solutions
   to the DUT in SUT problem will help also with the repeatability
   problem.

   Conversely, any alteration to [RFC2544] throughput search that
   improves repeatability should be considered as less dependent on the
   SUT noise.

   An alternative option is to simply run a search multiple times, and
   report some statistics (e.g. average and standard deviation).  This
   can be used for a subset of tests deemed more important, but it makes
   the search duration problem even more pronounced.

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2.4.  Throughput with Non-Zero Loss

   [RFC1242] (Section 3.17) defines throughput as: The maximum rate at
   which none of the offered frames are dropped by the device.

   Then, it says: Since even the loss of one frame in a data stream can
   cause significant delays while waiting for the higher level protocols
   to time out, it is useful to know the actual maximum data rate that
   the device can support.

   However, many benchmarking teams accept a small, non-zero loss ratio
   as the goal for their load search.

   Motivations are many:

   *  Modern protocols tolerate frame loss better, compared to the time
      when [RFC1242] and [RFC2544] were specified.

   *  Trials nowadays send way more frames within the same duration,
      increasing the chance of a small SUT performance fluctuation being
      enough to cause frame loss.

   *  Small bursts of frame loss caused by noise have otherwise smaller
      impact on the average frame loss ratio observed in the trial, as
      during other parts of the same trial the SUT may work more closely
      to its noiseless performance, thus perhaps lowering the Trial Loss
      Ratio below the Goal Loss Ratio value.

   *  If an approximation of the SUT noise impact on the Trial Loss
      Ratio is known, it can be set as the Goal Loss Ratio.

   Regardless of the validity of all similar motivations, support for
   non-zero loss goals makes any search algorithm more user-friendly.
   [RFC2544] throughput is not user-friendly in this regard.

   Furthermore, allowing users to specify multiple loss ratio values,
   and enabling a single search to find all relevant bounds,
   significantly enhances the usefulness of the search algorithm.

   Searching for multiple Search Goals also helps to describe the SUT
   performance spectrum better than the result of a single Search Goal.
   For example, the repeated wide gap between zero and non-zero loss
   loads indicates the noise has a large impact on the observed
   performance, which is not evident from a single goal load search
   procedure result.

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   It is easy to modify the vanilla bisection to find a lower bound for
   the load that satisfies a non-zero Goal Loss Ratio.  But it is not
   that obvious how to search for multiple goals at once, hence the
   support for multiple Search Goals remains a problem.

2.5.  Inconsistent Trial Results

   While performing throughput search by executing a sequence of
   measurement trials, there is a risk of encountering inconsistencies
   between trial results.

   The plain bisection never encounters inconsistent trials.  But
   [RFC2544] hints about the possibility of inconsistent trial results,
   in two places in its text.  The first place is section 24, where full
   trial durations are required, presumably because they can be
   inconsistent with the results from short trial durations.  The second
   place is section 26.3, where two successive zero-loss trials are
   recommended, presumably because after one zero-loss trial there can
   be a subsequent inconsistent non-zero-loss trial.

   Examples include:

   *  A trial at the same load (same or different trial duration)
      results in a different Trial Loss Ratio.

   *  A trial at a higher load (same or different trial duration)
      results in a smaller Trial Loss Ratio.

   Any robust throughput search algorithm needs to decide how to
   continue the search in the presence of such inconsistencies.
   Definitions of throughput in [RFC1242] and [RFC2544] are not specific
   enough to imply a unique way of handling such inconsistencies.

   Ideally, there will be a definition of a new quantity which both
   generalizes throughput for non-zero Goal Loss Ratio values (and other
   possible repeatability enhancements), while being precise enough to
   force a specific way to resolve trial result inconsistencies.  But
   until such a definition is agreed upon, the correct way to handle
   inconsistent trial results remains an open problem.

   Relevant Lower Bound is the MLRsearch term that addresses this
   problem.

3.  MLRsearch Specification

   MLRsearch specification describes all technical definitions needed
   for evaluating whether a particular test procedure complies with
   MLRsearch specification.

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   Some terms used in the specification are capitalized.  It is just a
   stylistic choice for this document, reminding the reader this term is
   introduced, defined or explained elsewhere in the document.
   Lowercase variants are equally valid.

   Each per term subsection contains a short *Definition* paragraph
   containing a minimal definition and all strict REQUIREMENTS, followed
   by *Discussion* paragraphs containing some important consequences and
   RECOMMENDATIONS.  Other text in this section discusses document
   structure and non-authoritative summaries.

3.1.  Overview

   MLRsearch Specification describes a set of abstract system
   components, acting as functions with specified inputs and outputs.

   A test procedure is said to comply with MLRsearch Specification if it
   can be conceptually divided into analogous components, each
   satisfying requirements for the corresponding MLRsearch component.
   Any such compliant test procedure is called a MLRsearch
   Implementation.

   The Measurer component is tasked to perform Trials, the Controller
   component is tasked to select Trial Durations and Loads, the Manager
   component is tasked to pre-configure everything and to produce the
   test report.  The test report explicitly states Search Goals (as
   Controller inputs) and corresponding Goal Results (Controller
   outputs).

   The Manager calls the Controller once, the Controller keeps calling
   the Measurer until all stopping conditions are met.

   The part where Controller calls the Measurer is called the Search.
   Any activity done by the Manager before it calls the Controller (or
   after Controller returns) is not considered to be part of the Search.

   MLRsearch Specification prescribes regular search results and
   recommends their stopping conditions.  Irregular search results are
   also allowed, they may have different requirements and stopping
   conditions.

   Search results are based on Load Classification.  When measured
   enough, any chosen Load can either achieve or fail each Search Goal
   (separately), thus becoming a Lower Bound or an Upper Bound for that
   Search Goal.

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   When the Relevant Lower Bound is close enough to Relevant Upper Bound
   according to Goal Width, the Regular Goal Result is found.  Search
   stops when all Regular Goal Results are found, or when some Search
   Goals are proven to have only Irregular Goal Results.

3.2.  Quantities

   MLRsearch specification uses a number of specific quantities, some of
   them can be expressed in several different units.

   In general, MLRsearch specification does not require particular units
   to be used, but it is REQUIRED for the test report to state all the
   units.  For example, ratio quantities can be dimensionless numbers
   between zero and one, but may be expressed as percentages instead.

   For convenience, a group of quantities can be treated as a composite
   quantity, One constituent of a composite quantity is called an
   attribute, and a group of attribute values is called an instance of
   that composite quantity.

   Some attributes are not independent from others, and they can be
   calculated from other attributes.  Such quantites are called derived
   quantities.

3.3.  Existing Terms

   This specification relies on the following three documents that
   should be consulted before attempting to make use of this document:

   *  RFC 1242 "Benchmarking Terminology for Network Interconnect
      Devices" contains basic term definitions.

   *  RFC 2285 "Benchmarking Terminology for LAN Switching Devices" adds
      more terms and discussions, describing some known network
      benchmarking situations in a more precise way.

   *  RFC 2544 "Benchmarking Methodology for Network Interconnect
      Devices" contains discussions of a number of terms and additional
      methodology requirements.

   Definitions of some central terms from above documents are copied and
   discussed in the following subsections.

3.3.1.  SUT

   Defined in [RFC2285] (Section 3.1.2) as follows.

   Definition:

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   The collective set of network devices to which stimulus is offered as
   a single entity and response measured.

   Discussion:

   An SUT consisting of a single network device is also allowed.

3.3.2.  DUT

   Defined in [RFC2285] (Section 3.1.1) as follows.

   Definition:

   The network forwarding device to which stimulus is offered and
   response measured.

   Discussion:

   DUT, as a sub-component of SUT, is only indirectly mentioned in
   MLRsearch specification, but is of key relevance for its motivation.

3.3.3.  Trial

   A trial is the part of the test described in [RFC2544] (Section 23).

   Definition:

   A particular test consists of multiple trials.  Each trial returns
   one piece of information, for example the loss rate at a particular
   input frame rate.  Each trial consists of a number of phases:

   a) If the DUT is a router, send the routing update to the "input"
   port and pause two seconds to be sure that the routing has settled.

   b) Send the "learning frames" to the "output" port and wait 2 seconds
   to be sure that the learning has settled.  Bridge learning frames are
   frames with source addresses that are the same as the destination
   addresses used by the test frames.  Learning frames for other
   protocols are used to prime the address resolution tables in the DUT.
   The formats of the learning frame that should be used are shown in
   the Test Frame Formats document.

   c) Run the test trial.

   d) Wait for two seconds for any residual frames to be received.

   e) Wait for at least five seconds for the DUT to restabilize.

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   Discussion:

   The definition describes some traits, and it is not clear whether all
   of them are REQUIRED, or some of them are only RECOMMENDED.

   Trials are the only stimuli the SUT is expected to experience during
   the Search.

   For the purposes of the MLRsearch specification, it is ALLOWED for
   the test procedure to deviate from the [RFC2544] description, but any
   such deviation MUST be described explicitly in the test report.

   In some discussion paragraphs, it is useful to consider the traffic
   as sent and received by a tester, as implicitly defined in [RFC2544]
   (Section 6).

   An example of deviation from [RFC2544] is using shorter wait times,
   compared to those described in phases b), d) and e).

3.4.  Trial Terms

   This section defines new and redefine existing terms for quantities
   relevant as inputs or outputs of a Trial, as used by the Measurer
   component.

3.4.1.  Trial Duration

   Definition:

   Trial Duration is the intended duration of the traffic part of a
   Trial.

   Discussion:

   This quantity does not include any preparation nor waiting described
   in section 23 of [RFC2544] (Section 23).

   While any positive real value may be provided, some Measurer
   implementations MAY limit possible values, e.g. by rounding down to
   nearest integer in seconds.  In that case, it is RECOMMENDED to give
   such inputs to the Controller so the Controller only proposes the
   accepted values.

3.4.2.  Trial Load

   Definition:

   Trial Load is the per-interface Intended Load for a Trial.

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   Discussion:

   For test report purposes, it is assumed that this is a constant load
   by default, as specified in [RFC1242] (Section 3.4).

   Trial Load MAY be only an average load, e.g. when the traffic is
   intended to be bursty, e.g. as suggested in [RFC2544] (Section 21).
   In the case of non-constant load, the test report MUST explicitly
   mention how exactly non-constant the traffic is.

   Trial Load is equivalent to the quantities defined as constant load
   of [RFC1242] (Section 3.4), data rate of [RFC2544] (Section 14), and
   Intended Load of [RFC2285] (Section 3.5.1), in the sense that all
   three definitions specify that this value applies to one (input or
   output) interface.

   For test report purposes, multi-interface aggregate load MAY be
   reported, and is understood as the same quantity expressed using
   different units.  From the report it MUST be clear whether a
   particular Trial Load value is per one interface, or an aggregate
   over all interfaces.

   Similarly to Trial Duration, some Measurers may limit the possible
   values of trial load.  Contrary to trial duration, the test report is
   NOT REQUIRED to document such behavior, as in practice the load
   differences are negligible (and frequently undocumented).

   It is ALLOWED to combine Trial Load and Trial Duration values in a
   way that would not be possible to achieve using any integer number of
   data frames.

   If a particular Trial Load value is not tied to a single Trial, e.g.
   if there are no Trials yet or if there are multiple Trials, this
   document uses a shorthand *Load*.

3.4.3.  Trial Input

   Definition:

   Trial Input is a composite quantity, consisting of two attributes:
   Trial Duration and Trial Load.

   Discussion:

   When talking about multiple Trials, it is common to say "Trial
   Inputs" to denote all corresponding Trial Input instances.

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   A Trial Input instance acts as the input for one call of the Measurer
   component.

   Contrary to other composite quantities, MLRsearch implementations are
   NOT ALLOWED to add optional attributes here.  This improves
   interoperability between various implementations of the Controller
   and the Measurer.

3.4.4.  Traffic Profile

   Definition:

   Traffic Profile is a composite quantity containing all attributes
   other than Trial Load and Trial Duration, that are needed for unique
   determination of the trial to be performed.

   Discussion:

   All the attributes are assumed to be constant during the search, and
   the composite is configured on the Measurer by the Manager before the
   search starts.  This is why the traffic profile is not part of the
   Trial Input.

   As a consequence, implementations of the Manager and the Measurer
   must be aware of their common set of capabilities, so that Traffic
   Profile instance uniquely defines the traffic during the Search.  The
   important fact is that none of those capabilities have to be known by
   the Controller implementations.

   The Traffic Profile SHOULD contain some specific quantities defined
   elsewhere.  For example [RFC2544] (Section 9) governs data link frame
   sizes as defined in [RFC1242] (Section 3.5).

   Several more specific quantities may be RECOMMENDED, depending on
   media type.  For example, [RFC2544] (Appendix C) lists frame formats
   and protocol addresses, as recommended in [RFC2544] (Section 8) and
   [RFC2544] (Section 12).

   Depending on SUT configuration, e.g. when testing specific protocols,
   additional attributes MUST be included in the traffic profile and in
   the test report.

   Example: [RFC8219] (Section 5.3) introduces traffic setups consisting
   of a mix of IPv4 and IPv6 traffic - the implied traffic profile
   therefore must include an attribute for their percentage.

   Other traffic properties that need to be somehow specified in Traffic
   Profile, if they apply to the test scenario, include:

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   *  bidirectional traffic from [RFC2544] (Section 14),

   *  fully meshed traffic from [RFC2285] (Section 3.3.3),

   *  and modifiers from [RFC2544] (Section 11).

3.4.5.  Trial Forwarding Ratio

   Definition:

   The Trial Forwarding Ratio is a dimensionless floating point value.
   It MUST range between 0.0 and 1.0, both inclusive.  It is calculated
   by dividing the number of frames successfully forwarded by the SUT by
   the total number of frames expected to be forwarded during the trial.

   Discussion:

   For most Traffic Profiles, "expected to be forwarded" means "intended
   to get transmitted from Tester towards SUT".  Only if this is not the
   case, the test report MUST describe the Traffic Profile in a way that
   implies how Trial Forwarding Ratio should be calculated.

   Trial Forwarding Ratio MAY be expressed in other units (e.g. as a
   percentage) in the test report.

   Note that, contrary to loads, frame counts used to compute trial
   forwarding ratio are aggregates over all SUT output interfaces.

   Questions around what is the correct number of frames that should
   have been forwarded is generally outside of the scope of this
   document.

3.4.6.  Trial Loss Ratio

   Definition:

   The Trial Loss Ratio is equal to one minus the Trial Forwarding
   Ratio.

   Discussion:

   100% minus the Trial Forwarding Ratio, when expressed as a
   percentage.

   This is almost identical to Frame Loss Rate of [RFC1242]
   (Section 3.6).  Te only minor differences are that Trial Loss Ratio
   does not need to be expressed as a percentage, and Trial Loss Ratio
   is explicitly based on aggregate frame counts.

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3.4.7.  Trial Forwarding Rate

   Definition:

   The Trial Forwarding Rate is a derived quantity, calculated by
   multiplying the Trial Load by the Trial Forwarding Ratio.

   Discussion:

   It is important to note that while similar, this quantity is not
   identical to the Forwarding Rate as defined in [RFC2285]
   (Section 3.6.1).  The latter is specific to one output interface
   only, whereas the Trial Forwarding Ratio is based on frame counts
   aggregated over all SUT output interfaces.

   In consequence, for symmetric traffic profiles the Trial Forwarding
   Rate value is equal to arithmetric average of [RFC2285] Forwarding
   Rate values across all active interfaces.

3.4.8.  Trial Effective Duration

   Definition:

   Trial Effective Duration is a time quantity related to the trial, by
   default equal to the Trial Duration.

   Discussion:

   This is an optional feature.  If the Measurer does not return any
   Trial Effective Duration value, the Controller MUST use the Trial
   Duration value instead.

   Trial Effective Duration may be any time quantity chosen by the
   Measurer to be used for time-based decisions in the Controller.

   The test report MUST explain how the Measurer computes the returned
   Trial Effective Duration values, if they are not always equal to the
   Trial Duration.

   This feature can be beneficial for users who wish to manage the
   overall search duration, rather than solely the traffic portion of
   it.  Simply measure the duration of the whole trial (including all
   wait times) and use that as the Trial Effective Duration.

   This is also a way for the Measurer to inform the Controller about
   its surprising behavior, for example when rounding the Trial Duration
   value.

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3.4.9.  Trial Output

   Definition:

   Trial Output is a composite quantity.  The REQUIRED attributes are
   Trial Loss Ratio, Trial Effective Duration and Trial Forwarding Rate.

   Discussion:

   When talking about multiple trials, it is common to say "Trial
   Outputs" to denote all corresponding Trial Output instances.

   Implementations may provide additional (optional) attributes.  The
   Controller implementations MUST ignore values of any optional
   attribute they are not familiar with, except when passing Trial
   Output instances to the Manager.

   Example of an optional attribute: The aggregate number of frames
   expected to be forwarded during the trial, especially if it is not
   just (a rounded-down value) implied by Trial Load and Trial Duration.

   While [RFC2285] (Section 3.5.2) requires the Offered Load value to be
   reported for forwarding rate measurements, it is NOT REQUIRED in
   MLRsearch Specification, as search results do not depend on it.

3.4.10.  Trial Result

   Definition:

   Trial Result is a composite quantity, consisting of the Trial Input
   and the Trial Output.

   Discussion:

   When talking about multiple trials, it is common to say "trial
   results" to denote all corresponding Trial Result instances.

   While implementations SHOULD NOT include additional attributes with
   independent values, they MAY include derived quantities.

3.5.  Goal Terms

   This section defines new terms for quantities relevant (directly or
   indirectly) for inputs or outputs of the Controller component.

   Several goal attributes are defined before introducing the main
   composite quantity: the Search Goal.

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   Discussions within this section are short, informal, and referencing
   future sections, with the impact on search results discussed only
   after introducing complete set of auxiliary terms.

3.5.1.  Goal Final Trial Duration

   Definition:

   Minimum value for Trial Duration required for classifying the Load as
   a Lower Bound.

   Discussion:

   This attribute value MUST be positive.

   Informally, while MLRsearch is allowed to perform trials shorter than
   this value, the results from such short trials have only limited
   impact on search results.

   It is RECOMMENDED for all search goals to share the same Goal Final
   Trial Duration value.  Otherwise, Trial Duration values larger than
   the Goal Final Trial Duration may occur, weakening the assumptions
   the Load Classification Logic (Section 5.1) is based on.

3.5.2.  Goal Duration Sum

   Definition:

   A threshold value for a particular sum of Trial Effective Duration
   values.

   Discussion:

   This attribute value MUST be positive.

   Informally, this prescribes the maximum amount of trials performed at
   a specific Trial Load and Goal Final Trial Duration during the
   search.

   If the Goal Duration Sum is larger than the Goal Final Trial
   Duration, multiple trials may need to be performed at the same load.

   See MLRsearch Compliant with TST009 (Section 3.9.3) for an example
   where possibility of multiple trials at the same load is intended.

   A Goal Duration Sum value lower than the Goal Final Trial Duration
   (of the same goal) could save some search time, but is NOT
   RECOMMENDED.

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3.5.3.  Goal Loss Ratio

   Definition:

   A threshold value for Trial Loss Ratio values.

   Discussion:

   Attribute value MUST be non-negative and smaller than one.

   A trial with Trial Loss Ratio larger than this value signals the SUT
   may be unable to process this Trial Load well enough.

   See Throughput with Non-Zero Loss (Section 2.4) why users may want to
   set this value above zero.

3.5.4.  Goal Exceed Ratio

   Definition:

   A threshold value for a particular ratio of sums of Trial Effective
   Duration values.

   Discussion:

   Attribute value MUST be non-negative and smaller than one.

   Informally, up to this proportion of High-Loss Trials (Trial Results
   with Trial Loss Ratio above Goal Loss Ratio) is tolerated at a Lower
   Bound.

   For explainability reasons, the RECOMMENDED value for exceed ratio is
   0.5 (50%), as it simplifies some concepts by relating them to the
   concept of median.  Also, the value of 50% leads to smallest
   variation in overall Search Duration in practice.

   See Exceed Ratio and Multiple Trials (Section 4.4) section for more
   details.

3.5.5.  Goal Width

   Definition:

   A threshold value for deciding whether two Trial Load values are
   close enough.

   Discussion:

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   It is an optional attribute.  If present, the value MUST be positive.

   Informally, this acts as a stopping condition, controlling the
   precision of the search.  The search stops if every goal has reached
   its precision.

   Implementations without this attribute MUST give the Controller other
   ways to control the search stopping conditions.

   Absolute load difference and relative load difference are two popular
   choices, but implementations may choose a different way to specify
   width.

   The test report MUST make it clear what specific quantity is used as
   Goal Width.

   It is RECOMMENDED to set the Goal Width (as relative difference)
   value to a value no smaller than the Goal Loss Ratio.  If the reason
   is not obvious, see the details in Generalized Throughput
   (Section 4.6).

3.5.6.  Goal Initial Trial Duration

   Definition:

   Minimum value for Trial Duration required for classifying the Load as
   any Bound.

   Discussion:

   This is an example of an OPTIONAL Search Goal some implementations
   may support.

   The reasonable default value is equal to the Goal Final Trial
   Duration value.

   If present, this value MUST be positive.

   Informally, this is the smallest Trial Duration the Controller will
   select when focusing on the goal.

   Strictly speaking, Trial Results with smaller Trial Duration values
   are still accepted by the Load Classification logic.  This is just a
   way for the user to discourage trials with Trial Duration values
   deemed as too unreliable for this SUT and this Search Goal.

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3.5.7.  Search Goal

   Definition:

   The Search Goal is a composite quantity consisting of several
   attributes, some of them are required.

   Required attributes: - Goal Final Trial Duration - Goal Duration Sum
   - Goal Loss Ratio - Goal Exceed Ratio

   Optional attributes: - Goal Initial Trial Duration - Goal Width

   Discussion:

   Implementations MAY add their own attributes.  Those additional
   attributes may be required by the implementation even if they are not
   required by MLRsearch specification.  But it is RECOMMENDED for those
   implementations to support missing values by providing reasonable
   default values.

   See Compliance (Section 3.9) for important Search Goal instances.

3.5.8.  Controller Input

   Definition:

   Controller Input is a composite quantity required as an input for the
   Controller.  The only REQUIRED attribute is a list of Search Goal
   instances.

   Discussion:

   MLRsearch implementations MAY use additional attributes.  Those
   additional attributes may be required by the implementation even if
   they are not required by MLRsearch specification.

   Formally, the Manager does not apply any Controller configuration
   apart from one Controller Input instance.

   For example, Traffic Profile is configured on the Measurer by the
   Manager, without explicit assistance of the Controller.

   The order of Search Goal instances in a list SHOULD NOT have a big
   impact on Controller Output, but MLRsearch implementations MAY base
   their behavior on the order of Search Goal instances in a list.

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3.5.8.1.  Max Load

   Definition:

   Max Load is an optional attribute of Controller Input.  It is the
   maximal value the Controller is allowed to use for Trial Load values.

   Discussion:

   Max Load is an example of an optional attribute (outside the list of
   Search Goals) required by some implementations of MLRsearch.

   In theory, each search goal could have its own Max Load value, but as
   all trials are possibly affecting all Search Goals, it makes more
   sense for a single Max Load value to apply to all Search Goal
   instances.

   While Max Load is a frequently used configuration parameter, already
   governed (as maximum frame rate) by [RFC2544] (Section 20) and (as
   maximum offered load) by [RFC2285] (Section 3.5.3), some
   implementations may detect or discover it (instead of requiring a
   user-supplied value).

   In MLRsearch specification, one reason for listing the Relevant Upper
   Bound (Section 3.7.1) as a required attribute is that it makes the
   search result independent of Max Load value.

3.5.8.2.  Min Load

   Definition:

   Min Load is an optional attribute of Controller Input.  It is the
   minimal value the Controller is allowed to use for Trial Load values.

   Discussion:

   Min Load is another example of an optional attribute required by some
   implementations of MLRsearch.  Similarly to Max Load, it makes more
   sense to prescribe one common value, as opposed to using a different
   value for each Search Goal.

   Min Load is mainly useful for saving time by failing early, arriving
   at an Irregular Goal Result when Min Load gets classified as an Upper
   Bound.

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   For implementations, it is useful to require Min Load to be non-zero
   and large enough to result in at least one frame being forwarded even
   at smallest allowed Trial Duration, so Trial Loss Ratio is always
   well-defined, and the implementation can use relative Goal Width
   (without running into issues around zero Trial Load value).

3.6.  Auxiliary Terms

   While the terms defined in this section are not strictly needed when
   formulating MLRsearch requirements, they simplify the language used
   in discussion paragraphs and explanation chapters.

3.6.1.  Current and Final Quantities

   Some quantites are defined in a way that allows them to be computed
   in the middle of the Search.  Other quantities are specified in a way
   that allows them to be computed only after the Search ends.  And some
   quantities are important only after the Search ended, but are
   computable also before the Search ends.

   The adjective *current* marks a quantity that is computable before
   the Search ends, but the computed value may change during the Search.
   When such value is relevant for the search result, the adjective
   *final* may be used to denote the value at the end of the Search.

3.6.2.  Trial Classification

   When one Trial Result instance is compared to one Search Goal
   instance, several relations can be named using short adjectives.

   As trial results do not affect each other, this *Trial
   Classification* does not change during the Search.

3.6.2.1.  High-Loss Trial

   A trial with Trial Loss Ratio larger than a Goal Loss Ratio value is
   called a *high-loss trial*, with respect to given Search Goal (or
   lossy trial, if Goal Loss Ratio is zero).

3.6.2.2.  Low-Loss Trial

   If a trial is not high-loss, it is called a *low-loss trial* (or even
   zero-loss trial, if Goal Loss Ratio is zero).

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3.6.2.3.  Short Trial

   A trial with Trial Duration shorter than the Goal Final Trial
   Duration is called a *short trial* (with respect to the given Search
   Goal).

3.6.2.4.  Full-Length Trial

   A trial that is not short is called a *full-length* trial.

   Note that this includes Trial Durations larger than Goal Final Trial
   Duration.

3.6.2.5.  Long Trial

   A trial with Trial Duration longer than the Goal Final Trial Duration
   is called a *long trial*.

3.6.3.  Load Classification

   When the set of all Trial Result instances performed so far at one
   Trial Load is compared to one Search Goal instance, two relations can
   be named using the concept of a bound.

   In general, such bounds are a current quantity, even though cases of
   changing bounds is rare in practice.

3.6.3.1.  Upper Bound

   Definition:

   A Trial Load value is called an Upper Bound if and only if it is
   classified as such by Appendix A: Load Classification (Section 9)
   algorithm for the given Search Goal at the current moment of the
   Search.

   Discussion:

   In more detail, the set of all Trial Results performed so far at the
   Trial Load (and any Trial Duration) is certain to fail to uphold all
   the requirements of the given Search Goal, mainly the Goal Loss Ratio
   in combination with the Goal Exceed Ratio.  Here "certain to fail"
   relates to any possible results within the time remaining till Goal
   Duration Sum.

   One search goal can have multiple different Trial Load values
   classified as its Upper Bounds.  As search progresses and more trials
   are measured, any load value can become an Upper Bound.

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   Also, a load can stop being an Upper Bound, but that can only happen
   when more than Goal Duration Sum of trials are measured (e.g. because
   another Search Goal needs more trials at this load).  In that case
   the load becomes a Lower Bound (see next subsection), and we say the
   previous Upper Bound got Invalidated.

3.6.3.2.  Lower Bound

   Definition:

   A Trial Load value is called a Lower Bound if and only if it is
   classified as such by Appendix A: Load Classification (Section 9)
   algorithm for the given Search Goal at the current moment of the
   search.

   Discussion:

   In more detail, the set of all Trial Results performed so far at the
   Trial Load (and any Trial Duration) is certain to uphold all the
   requirements of the given Search Goal, mainly the Goal Loss Ratio in
   combination with the Goal Exceed Ratio.  Here "certain to uphold"
   relates to any possible results within the time remaining till Goal
   Duration Sum.

   One search goal can have multiple different Trial Load values
   classified as its Lower Bounds.  As search progresses and more trials
   are measured, any load value can become a Lower Bound.

   No load can be both an Upper Bound and a Lower Bound for the same
   Search goal at the same time, but it is possible for a higher load to
   be a Lower Bound while a smaller load is an Upper Bound.

   Also, a load can stop being a Lower Bound, but that can only happen
   when more than Goal Duration Sum of trials are measured (e.g. because
   another Search Goal needs more trials at this load).  In that case
   the load becomes an Upper Bound, and we say the previous Lower Bound
   got Invalidated.

3.7.  Result Terms

   Before defining the full structure of Controller Output, it is useful
   to define the composite quantity called Goal Result.  The following
   subsections define its attribute first, before describing the Goal
   Result quantity.

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   There is a correspondence between Search Goals and Goal Results.
   Most of the following subsections refer to a given Search Goal, when
   defining their terms.  Conversely, at the end of the search, each
   Search Goal instance has its corresponding Goal Result instance.

3.7.1.  Relevant Upper Bound

   Definition:

   The Relevant Upper Bound is the smallest Trial Load value classified
   as an Upper Bound for the given Search Goal at the end of the search.

   Discussion:

   If no measured load had enough high-loss trials, the Relevant Upper
   Bound MAY be not-existent.  For example, when Max Load is classified
   as a Lower Bound.

   Conversely, if Relevant Upper Bound exists, it is not affected by Max
   Load value.

3.7.2.  Relevant Lower Bound

   Definition:

   The Relevant Lower Bound is the largest Trial Load value among those
   smaller than the Relevant Upper Bound, that got classified as a Lower
   Bound for the given Search Goal at the end of the search.

   Discussion:

   If no load had enough low-loss trials, the relevant lower bound MAY
   be non-existent.

   Strictly speaking, if the Relevant Upper Bound does not exist, the
   Relevant Lower Bound also does not exist.  In a typical case, Max
   Load is classified as a Lower Bound, but it is not clear whether a
   higher value would be found as a Lower Bound if the search was not
   limited by this Max Load value.

3.7.3.  Conditional Throughput

   Definition:

   Conditional Throughput is a value computed at the Relevant Lower
   Bound according to algorithm defined in Appendix B: Conditional
   Throughput (Section 10).

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   Discussion:

   The Relevant Lower Bound is defined only at the end of the search,
   and so is the Conditional Throughput.  But the algorithm can be
   applied at any time on any Lower Bound load, so the final Conditional
   Throughput value may appear sooner than at the end of the search.

   Informally, the Conditional Throughput should be a typical Trial
   Forwarding Rate, expected to be seen at the Relevant Lower Bound of
   the given Search Goal.

   But frequently it is only a conservative estimate thereof, as
   MLRsearch implementations tend to stop gathering more trials as soon
   as they confirm the value cannot get worse than this estimate within
   the Goal Duration Sum.

   This value is RECOMMENDED to be used when evaluating repeatability
   and comparability of different MLRsearch implementations.

   See Generalized Throughput (Section 4.6) for more details.

3.7.4.  Goal Results

   MLRsearch specification is based on a set of requirements for a
   "regular" result.  But in practice, it is not always possible for
   such result instance to exist, so also "irregular" results need to be
   supported.

3.7.4.1.  Regular Goal Result

   Definition:

   Regular Goal Result is a composite quantity consisting of several
   attributes.  Relevant Upper Bound and Relevant Lower Bound are
   REQUIRED attributes, Conditional Throughput is a RECOMMENDED
   attribute.  Stopping conditions for the corresponding Search Goal
   MUST be satisfied.

   Discussion:

   Both relevant bounds MUST exist.

   If the implementation offers Goal Width as a Search Goal attribute,
   the distance between the Relevant Lower Bound and the Relevant Upper
   Bound MUST NOT be larger than the Goal Width,

   Implementations MAY add their own attributes.

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   Test report MUST display Relevant Lower Value, Displaying Relevant
   Upper Bound is NOT REQUIRED, but it is RECOMMENDED, especially if the
   implementation does not use Goal Width.

3.7.4.2.  Irregular Goal Result

   Definition:

   Irregular Goal Result is a composite quantity.  No attributes are
   required.

   Discussion:

   It is RECOMMENDED to report any useful quantity even if it does not
   satisfy all the requirements.  For example if Max Load is classified
   as a Lower Bound, it is fine to report it as the Relevant Lower
   Bound, and compute Conditional Throughput for it.  In this case, only
   the missing Relevant Upper Bound signals this result instance is
   irregular.

   Similarly, if both revevant bounds exist, it is RECOMMENDED to
   include them as Irregular Goal Result attributes, and let the Manager
   decide if their distance is too far for users' purposes.

   If test report displays some Irregular Goal Result attribute values,
   they MUST be clearly marked as comming from irregular results.

   The implementation MAY define additional attributes.

3.7.4.3.  Goal Result

   Definition:

   Goal Result is a composite quantity.  Each instance is either a
   Regular Goal Result or an Irregular Goal Result.

   Discussion:

   The Manager MUST be able to distinguish whether the instance is
   regular or not.

3.7.5.  Search Result

   Definition:

   The Search Result is a single composite object that maps each Search
   Goal instance to a corresponding Goal Result instance.

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   Discussion:

   Alternatively, the Search Result can be implemented as an ordered
   list of the Goal Result instances, matching the order of Search Goal
   instances.

   The Search Result (as a mapping) MUST map from all the Search Goal
   instances present in the Controller Input.

   Identical Goal Result instances MAY be listed for different Search
   Goals, but their status as regular or irregular may be different.
   For example if two goals differ only in Goal Width value, and the
   relevant bound values are close enough according to only one of them.

3.7.6.  Controller Output

   Definition:

   The Controller Output is a composite quantity returned from the
   Controller to the Manager at the end of the search.  The Search
   Result instance is its only REQUIRED attribute.

   Discussion:

   MLRsearch implementation MAY return additional data in the Controller
   Output, for example number of trials performed and the total Search
   duration.

3.8.  MLRsearch Architecture

   MLRsearch architecture consists of three main system components: the
   Manager, the Controller, and the Measurer.

   The architecture also implies the presence of other components, such
   as the SUT and the Tester (as a sub-component of the Measurer).

   Protocols of communication between components are generally left
   unspecified.  For example, when MLRsearch specification mentions
   "Controller calls Measurer", it is possible that the Controller
   notifies the Manager to call the Measurer indirectly instead.  This
   way the Measurer implementations can be fully independent from the
   Controller implementations, e.g. programmed in different programming
   languages.

3.8.1.  Measurer

   Definition:

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   The Measurer is an abstract system component that when called with a
   Trial Input (Section 3.4.3) instance, performs one Trial
   (Section 3.3.3), and returns a Trial Output (Section 3.4.9) instance.

   Discussion:

   This definition assumes the Measurer is already initialized.  In
   practice, there may be additional steps before the Search, e.g. when
   the Manager configures the traffic profile (either on the Measurer or
   on its tester sub-component directly) and performs a warmup (if the
   test procedure requires one).

   It is the responsibility of the Measurer implementation to uphold any
   requirements and assumptions present in MLRsearch specification, e.g.
   Trial Forwarding Ratio not being larger than one.

   Implementers have some freedom.  For example [RFC2544] (Section 10)
   gives some suggestions (but not requirements) related to duplicated
   or reordered frames.  Implementations are RECOMMENDED to document
   their behavior related to such freedoms in as detailed a way as
   possible.

   It is RECOMMENDED to benchmark the test equipment first, e.g. connect
   sender and receiver directly (without any SUT in the path), find a
   load value that guarantees the Offered Load is not too far from the
   Intended Load, and use that value as the Max Load value.  When
   testing the real SUT, it is RECOMMENDED to turn any big difference
   between the Intended Load and the Offered Load into increased Trial
   Loss Ratio.

   Neither of the two recommendations are made into requirements,
   because it is not easy to tell when the difference is big enough, in
   a way thay would be dis-entangled from other Measurer freedoms.

3.8.2.  Controller

   Definition:

   The Controller is an abstract system component that when called once
   with a Controller Input instance repeatedly computes Trial Input
   instance for the Measurer, obtains corresponding Trial Output
   instances, and eventually returns a Controller Output instance.

   Discussion:

   Informally, the Controller has big freedom in selection of Trial
   Inputs, and the implementations want to achieve all the Search Goals
   in the shortest expected time.

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   The Controller's role in optimizing the overall search time
   distinguishes MLRsearch algorithms from simpler search procedures.

   Informally, each implementation can have different stopping
   conditions.  Goal Width is only one example.  In practice,
   implementation details do not matter, as long as Goal Result
   instances are regular.

3.8.3.  Manager

   Definition:

   The Manager is an abstract system component that is reponsible for
   configuring other components, calling the Controller component once,
   and for creating the test report following the reporting format as
   defined in [RFC2544] (Section 26).

   Discussion:

   The Manager initializes the SUT, the Measurer (and the Tester if
   independent) with their intended configurations before calling the
   Controller.

   The Manager does not need to be able to tweak any Search Goal
   attributes, but it MUST report all applied attribute values even if
   not tweaked.

   In principle, there should be a "user" (human or CI) that "starts" or
   "calls" the Manager and receives the report.  The Manager MAY be able
   to be called more than once whis way, thus triggering multiple
   independent Searches.

3.9.  Compliance

   This section discusses compliance relations between MLRsearch and
   other test procedures.

3.9.1.  Test Procedure Compliant with MLRsearch

   Any networking measurement setup where there can be logically
   delineated system components and there are abstract components
   satisfying requirements for the Measurer, the Controller and the
   Manager, is considered to be compliant with MLRsearch specification.

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   These components can be seen as abstractions present in any testing
   procedure.  For example, there can be a single component acting both
   as the Manager and the Controller, but as long as values of required
   attributes of Search Goals and Goal Results are visible in the test
   report, the Controller Input instance and Controller Output instance
   are implied.

   For example, any setup for conditionally (or unconditionally)
   compliant [RFC2544] throughput testing can be understood as a
   MLRsearch architecture, as long as there is enough data to
   reconstruct the Relevant Upper Bound.  See the next subsection for an
   equivalent Search Goal.

   Any test procedure that can be understood as (one call to the Manager
   of) MLRsearch architecture is said to be compliant with MLRsearch
   specification.

3.9.2.  MLRsearch Compliant with RFC2544

   The following Search Goal instance makes the corresponding Search
   Result unconditionally compliant with [RFC2544] (Section 24).

   *  Goal Final Trial Duration = 60 seconds

   *  Goal Duration Sum = 60 seconds

   *  Goal Loss Ratio = 0%

   *  Goal Exceed Ratio = 0%

   The latter two attributes, Goal Loss Ratio and Goal Exceed Ratio, are
   enough to make the Search Goal conditionally compliant.  Adding the
   first attribute, Goal Final Trial Duration, makes the Search Goal
   unconditionally compliant.

   The second attribute (Goal Duration Sum) only prevents MLRsearch from
   repeating zero-loss full-length trials.

   The presence of other Search Goals does not affect the compliance of
   this Goal Result.  The Relevant Lower Bound and the Conditional
   Throughput are in this case equal to each other, and the value is the
   [RFC2544] throughput.

   Non-zero exceed ratio is not strictly disallowed, but it could
   needlessly prolong the search when low-loss short trials are present.

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3.9.3.  MLRsearch Compliant with TST009

   One of the alternatives to [RFC2544] is Binary search with loss
   verification as described in [TST009] (Section 12.3.3).

   The idea there is to repeat high-loss trials, hoping for zero loss on
   second try, so the results are closer to the noiseless end of
   performance sprectum, thus more repeatable and comparable.

   Only the variant with "z = infinity" is achievable with MLRsearch.

   For example, for "max(r) = 2" variant, the following Search Goal
   instance should be used to get compatible Search Result:

   *  Goal Final Trial Duration = 60 seconds

   *  Goal Duration Sum = 120 seconds

   *  Goal Loss Ratio = 0%

   *  Goal Exceed Ratio = 50%

   If the first 60s trial has zero loss, it is enough for MLRsearch to
   stop measuring at that load, as even a second high-loss trial would
   still fit within the exceed ratio.

   But if the first trial is high-loss, MLRsearch needs to perform also
   the second trial to classify that load.  Goal Duration Sum is twice
   as long as Goal Final Trial Duration, so third full-length trial is
   never needed.

4.  Further Explanations

   This chapter provides further explanations of MLRsearch behavior,
   mainly in comparison to a simple bisection for [RFC2544] Throughput.

4.1.  Binary Search

   A typical binary search implementation for [RFC2544] tracks only the
   two tightest bounds.  To start, the search needs both Max Load and
   Min Load values.  Then, one trial is used to confirm Max Load is an
   Upper Bound, and one trial to confirm Min Load is a Lower Bound.

   Then, next Trial Load is chosen as the mean of the current tightest
   upper bound and the current tightest lower bound, and becomes a new
   tightest bound depending on the Trial Loss Ratio.

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   After some number of trials, the tightest lower bound becomes the
   throughput, but [RFC2544] does not specify when, if ever, the search
   should stop.  In practice, the search stops either at some distance
   between the tightest upper bound and the tightest lower bound, or
   after some number of Trials.

   For a given pair of Max Load and Min Load values, there is one-to-one
   correspondence between number of Trials and final distance between
   the tightest bounds.  Thus, the search always takes the same time,
   assuming initial bounds are confirmed.

4.2.  Stopping Conditions and Precision

   MLRsearch specification requires listing both Relevant Bounds for
   each Search Goal, and the difference between the bounds implies
   whether the result precision achieved.  Therefore it is not necessary
   to report the specific stopping condition used.

   MLRsearch implementations may use Goal Width to allow direct control
   of result precision, and indirect control of the search duration.

   Other MLRsearch implementations may use different stopping
   conditions; for example based on the search duration, trading off
   precision control for duration control.

   Due to various possible time optimizations, there is no longer a
   strict correspondence between the overall search duration and Goal
   Width values.  In practice, noisy SUT performance increases both
   average search time and its variance.

4.3.  Loss Ratios and Loss Inversion

   The most obvious difference between MLRsearch and [RFC2544] binary
   search is in the goals of the search.  [RFC2544] has a single goal,
   based on classifying a single full-length trial as either zero-loss
   or non-zero-loss.  MLRsearch supports searching for multiple goals at
   once, usually differing in their Goal Loss Ratio values.

4.3.1.  Single Goal and Hard Bounds

   Each bound in [RFC2544] simple binary search is "hard", in the sense
   that all further Trial Load values are smaller than any current upper
   bound and larger than any current lower bound.

   This is also possible for MLRsearch implementations, when the search
   is started with only one Search Goal instance.

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4.3.2.  Multiple Goals and Loss Inversion

   MLRsearch supports multiple goals, making the search procedure more
   complicated compared to binary search with single goal, but most of
   the complications do not affect the final results much.  Except for
   one phenomenon: Loss Inversion.

   Depending on Search Goal attributes, Load Classification results may
   be resistant to small amounts of Inconsistent Trial Results
   (Section 2.5).  But for larger amounts, a Load that is classified as
   an Upper Bound for one Search Goal may still be a Lower Bound for
   another Search Goal.  And, due to this other goal, MLRsearch will
   probably perform subsequent Trials at Trial Loads even higher than
   the original value.

   This introduces questions any many-goals search algorithm has to
   address.  What to do when all such higher load trials happen to have
   zero loss?  Does it mean the earlier upper bound was not real?  Does
   it mean the later low-loss trials are not considered a lower bound?

   The situation where a smaller load is classified as an Upper Bound,
   while a larger load is classified as a Lower Bound (for the same
   search goal), is called Loss Inversion.

   Conversely, only single-goal search algorithms can have hard bounds
   that shield them from Loss Inversion.

4.3.3.  Conservativeness and Relevant Bounds

   MLRsearch is conservative when dealing with Loss Inversion: the Upper
   Bound is considered real, and the Lower Bound is considered to be a
   fluke, at least when computing the final result.

   This is formalized using definitions of Relevant Upper Bound
   (Section 3.7.1) and Relevant Lower Bound (Section 3.7.2).  The
   Relevant Upper Bound (for specific goal) is the smallest load
   classified as an Upper Bound.  But the Relevant Lower Bound is not
   simply the largest among Lower Bounds.  It is the largest load among
   loads that are Lower Bounds while also being smaller than the
   Relevant Upper Bound.

   With these definitions, the Relevant Lower Bound is always smaller
   than the Relevant Upper Bound (if both exist), and the two relevant
   bounds are used analogously as the two tightest bounds in the binary
   search.  When they meet the stopping conditions, the Relevant Bounds
   are used in the output.

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4.3.4.  Consequences

   The consequence of the way the Relevant Bounds are defined is that
   every Trial Result can have an impact on any current Relevant Bound
   larger than that Trial Load, namely by becoming a new Upper Bound.

   This also applies when that trial happens before that bound could
   have become current.

   This means if your SUT (or your Traffic Generator) needs a warmup, be
   sure to warm it up before starting the Search.

   Also, for MLRsearch implementation, it means it is better to measure
   at smaller loads first, so bounds found earlier are less likely to
   get invalidated later.

4.4.  Exceed Ratio and Multiple Trials

   The idea of performing multiple Trials at the same Trial Load comes
   from a model where some Trial Results (those with high Trial Loss
   Ratio) are affected by infrequent effects, causing poor repeatability
   of [RFC2544] Throughput results.  See the discussion about noiseful
   and noiseless ends of the SUT performance spectrum in section DUT in
   SUT (Section 2.2).  Stable results are closer to the noiseless end of
   the SUT performance spectrum, so MLRsearch may need to allow some
   frequency of high-loss trials to ignore the rare but big effects near
   the noiseful end.

   For MLRsearch to perform such Trial Result filtering, it needs a
   configuration option to tell how frequent can the "infrequent" big
   loss be.  This option is called the Goal Exceed Ratio
   (Section 3.5.4).  It tells MLRsearch what ratio of trials (more
   specifically, what ratio of Trial Effective Duration seconds) can
   have a Trial Loss Ratio (Section 3.4.6) larger than the Goal Loss
   Ratio (Section 3.5.3) and still be classified as a Lower Bound
   (Section 3.6.3.2).

   Zero exceed ratio means all trials must have a Trial Loss Ratio equal
   to or smaller than the Goal Loss Ratio.

   When more than one trial is intended to classify a Load, MLRsearch
   also needs something that controls the number of trials needed.
   Therefore, each goal also has an attribute called Goal Duration Sum.

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   The meaning of a Goal Duration Sum (Section 3.5.2) is that when a
   load has (full-length) trials whose Trial Effective Durations when
   summed up give a value at least as big as the Goal Duration Sum
   value, the load is guaranteed to be classified either as an Upper
   Bound or a Lower Bound for that Search Goal instance.

4.5.  Short Trials and Duration Selection

   MLRsearch requires each goal to specify its Goal Final Trial
   Duration.

   Section 24 of [RFC2544] already anticipates possible time savings
   when Short Trials are used.

   Any MLRsearch implementation MAY include its own configuration
   options which control when and how MLRsearch chooses to use short
   trial durations.

   While MLRsearch implementations are free to use any logic to select
   Trial Input values, comparability between MLRsearch implementations
   is only assured when the Load Classification logic handles any
   possible set of Trial Results in the same way.

   The presence of short trial results complicates the load
   classification logic, see details in Load Classification Logic
   (Section 5.1) chapter.

   While the Load Classification algorithm is designed to avoid any
   unneeded Trials, for explainability reasons it is RECOMMENDED for
   users to use such Controller Input instances that lead to all Trial
   Duration values selected by Controller to be the same, e.g. by
   setting any Goal Initial Trial Duration to be a single value also
   used in all Goal Final Trial Duration attributes.

   In a nutshell, results from short trials may cause a load to be
   classified as an upper bound.  This may cause loss inversion, and
   thus lower the Relevant Lower Bound, below what would classification
   say when considering full-length trials only.

4.6.  Generalized Throughput

   Due to the fact that testing equipment takes the Intended Load as an
   input parameter for a trial measurement, any load search algorithm
   needs to deal with Intended Load values internally.

   But in the presence of goals with a non-zero Goal Loss Ratio
   (Section 3.5.3), the Intended Load usually does not match the user's
   intuition of what a throughput is.  The forwarding rate (as defined

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   in [RFC2285] section 3.6.1) is better, but it is not obvious how to
   generalize it for loads with multiple trials and a non-zero goal loss
   ratio.

   The best example is also the main motivation: hard performance limit.

4.6.1.  Hard Performance Limit

   Even if bandwidth of the medium allows higher performance, the SUT
   interfaces may have their additional own limitations, e.g. a specific
   frames-per-second limit on the NIC (a common occurance).

   Ideally, those should be known and provided as Max Load
   (Section 3.5.8.1).  But if Max Load is set higher than what the
   interface can receive or transmit, there will be a "hard limit"
   observed in trial results.

   Imagine the hard limit is at hundred million frames per second (100
   Mfps), Max Load is higher, and the goal loss ratio is 0.5%. If DUT
   has no additional losses, 0.5% loss ratio will be achieved at
   Relevant Lower Bound of 100.5025 Mfps.  But it is not intuitive to
   report SUT performance as a value that is larger than the known hard
   limit.  We need a generalization of RFC2544 throughput, different
   from just the Relevant Lower Bound.

   MLRsearch defines one such generalization, the Conditional Throughput
   (Section 3.7.3).  It is the Trial Forwarding Rate from one of the
   full-length trials performed at the Relevant Lower Bound.  The
   algorithm to determine which trial exactly is in Appendix B:
   Conditional Throughput (Section 10).

   In the hard limit example, 100.5025 Mfps load will still have only
   100.0 Mfps forwarding rate, nicely confirming the known limitation.

4.6.2.  Performance Variability

   With non-zero Goal Loss Ratio, and without hard performance limits,
   low-loss trials at the same Load may achieve different Trial
   Forwarding Rate values just due to DUT performance variability.

   By comparing the best case (all Relevant Lower Bound trials have zero
   loss) and the worst case (all Trial Loss Ratios at Relevant Lower
   Bound are equal to the Goal Loss Ratio), we find the possible
   Conditional Throughput values may have up to the Goal Loss Ratio
   relative difference.

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   Therefore, it is rarely needed to set the Goal Width (if expressed as
   the relative difference of loads) below the Goal Loss Ratio.  In
   other words, setting the Goal Width below the Goal Loss Ratio may
   cause the Conditional Throughput for a larger loss ratio to become
   smaller than a Conditional Throughput for a goal with a smaller Goal
   Loss Ratio, which is counter-intuitive, considering they come from
   the same search.  Therefore it is RECOMMENDED to set the Goal Width
   to a value no smaller than the Goal Loss Ratio.

   Despite this variability, in practice Conditional Throughput behaves
   better than Relevant Lower Bound for comparability purposes.

   Conditional Throughput is partially related to load classification.
   If a load is classified as a Relevant Lower Bound for a goal, the
   Conditional Throughput comes from a trial result, that is guaranteed
   to have Trial Loss Ratio no larger than the Goal Loss Ratio.

5.  MLRsearch Logic and Example

   This section uses informal language to describe two pieces of
   MLRsearch logic, Load Classification and Conditional Throughput,
   reflecting formal pseudocode representation present in Appendix A:
   Load Classification (Section 9) and Appendix B: Conditional
   Throughput (Section 10).  This is followed by example search.

   For repeatability and comparability reasons, it is important that all
   implementations of MLRsearch classify the load equivalently, based on
   all trials measured at the given load.

5.1.  Load Classification Logic

   Note: For explanation clarity variables are taged as (I)nput,
   (T)emporary, (O)utput.

   *  Take all Trial Result instances (I) measured at a given load.

   *  Full-length high-loss sum (T) is the sum of Trial Effective
      Duration values of all full-length high-loss trials (I).

   *  Full-length low-loss sum (T) is the sum of Trial Effective
      Duration values of all full-length low-loss trials (I).

   *  Short high-loss sum is the sum (T) of Trial Effective Duration
      values of all short high-loss trials (I).

   *  Short low-loss sum is the sum (T) of Trial Effective Duration
      values of all short low-loss trials (I).

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   *  Subceed ratio (T) is One minus the Goal Exceed Ratio (I).

   *  Exceed coefficient (T) is the Goal Exceed Ratio divided by the
      subceed ratio.

   *  Balancing sum (T) is the short low-loss sum multiplied by the
      exceed coefficient.

   *  Excess sum (T) is the short high-loss sum minus the balancing sum.

   *  Positive excess sum (T) is the maximum of zero and excess sum.

   *  Effective high-loss sum (T) is the full-length high-loss sum plus
      the positive excess sum.

   *  Effective full sum (T) is the effective high-loss sum plus the
      full-length low-loss sum.

   *  Effective whole sum (T) is the larger of the effective full sum
      and the Goal Duration Sum.

   *  Missing sum (T) is the effective whole sum minus the effective
      full sum.

   *  Pessimistic high-loss sum (T) is the effective high-loss sum plus
      the missing sum.

   *  Optimistic exceed ratio (T) is the effective high-loss sum divided
      by the effective whole sum.

   *  Pessimistic exceed ratio (T) is the pessimistic high-loss sum
      divided by the effective whole sum.

   *  The load is classified as an Upper Bound (O) if the optimistic
      exceed ratio is larger than the Goal Exceed Ratio.

   *  The load is classified as a Lower Bound (O) if the pessimistic
      exceed ratio is not larger than the Goal Exceed Ratio.

   *  The load is classified as undecided (O) otherwise.

5.2.  Conditional Throughput Logic

   Note: For explanation clarity variables are taged as (I)nput,
   (T)emporary, (O)utput.

   *  Take all Trial Result instances (I) measured at a given Load.

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   *  Full-length high-loss sum (T) is the sum of Trial Effective
      Duration values of all full-length high-loss trials (I).

   *  Full-length low-loss sum (T) is the sum of Trial Effective
      Duration values of all full-length low-loss trials (I).

   *  Full-length sum (T) is the full-length high-loss sum (I) plus the
      full-length low-loss sum (I).

   *  Subceed ratio (T) is One minus the Goal Exceed Ratio (I) is
      called.

   *  Remaining sum (T) initially is full-lengths sum multiplied by
      subceed ratio.

   *  Current loss ratio (T) initially is 100%.

   *  For each full-length trial result, sorted in increasing order by
      Trial Loss Ratio:

      -  If remaining sum is not larger than zero, exit the loop.

      -  Set current loss ratio to this trial's Trial Loss Ratio (I).

      -  Decrease the remaining sum by this trial's Trial Effective
         Duration (I).

   *  Current forwarding ratio (T) is One minus the current loss ratio.

   *  Conditional Throughput (T) is the current forwarding ratio
      multiplied by the Load value.

   By definition, Conditional Throughput logic results in a value that
   represents Trial Loss Ratio at most equal to Goal Loss Ratio.

5.3.  SUT Behaviors

   In DUT in SUT (Section 2.2), the notion of noise has been introduced.
   In this section we rely on new terms defined since then to describe
   possible SUT behaviors more precisely.

   From measurement point of view, noise is visible as inconsistent
   trial results.  See Inconsistent Trial Results (Section 2.5) for
   general points and Loss Ratios and Loss Inversion (Section 4.3) for
   specifics when comparing different Load values.

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   Load Classification and Conditional Throughput apply to a single Load
   value, but even the set of Trial Results measured at that Trial Load
   value may appear inconsistent.

   As MLRsearch aims to save time, it executes only a small number of
   Trials, getting only a limited amount of information about SUT
   behavior.  It is useful to introduce an "SUT expert" point of view to
   contrast with that limited information.

5.3.1.  Expert Predictions

   Imagine that before the Search starts, a human expert had unlimited
   time to measure SUT and obtain all reliable information about it.
   The information is not perfect, as there is still random noise
   influencing SUT.  But the expert is familiar with possible noise
   events, even the rare ones, and thus the expert can do probabilistic
   predictions about future Trial Outputs.

   When several outcomes are possible, the expert can asses probability
   of each outcome.

5.3.2.  Exceed Probability

   When the Controller selects new Trial Duration and Trial Load, and
   just before the Measurer starts performing the Trial, the SUT expert
   can envision possible Trial Results.

   With respect to a particular Search Goal instance, the possibilities
   can be summarized into a single number: Exceed Probability.  It is
   the probability (according to the expert) that the measured Trial
   Loss Ratio will be higher than the Goal Loss Ratio.

5.3.3.  Trial Duration Dependence

   When comparing Exceed Probability values for the same Trial Load
   value but different Trial Duration values, there are several patterns
   that commonly occur in practice.

5.3.3.1.  Strong Increase

   Exceed Probability is very small at short durations but very high at
   full-length.  This SUT behavior is undesirable, and may hint at
   faulty SUT, e.g.  SUT leaks resources and is unable to sustain the
   desired performance.

   But this behavior is also seen when SUT uses large amount of buffers.
   This is the main reasons users may want to set high Goal Final Trial
   Duration.

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5.3.3.2.  Mild Increase

   Short trials have smaller exceed probability, but the difference is
   not as high.  This behavior is quite common if the noise contains
   infrequent but large loss spikes, as the more performant parts of a
   full-length trial are unable to compensate for all the frame loss
   from a less performant part.

5.3.3.3.  Independence

   Short trials have basically the same Exceed Probability as full-
   length trials.  This is possible only if loss spikes are small (so
   other parts can compensate) and if Goal Loss Ratio is more than zero
   (otherwise other parts cannot compensate at all).

5.3.3.4.  Decrease

   Short trials have larger Exceed Probability than full-length trials.
   This can be possible only for non-zero Goal Loss Ratio, for example
   if SUT needs to "warm up" to best performance within each trial.  Not
   sommonly seen in practice.

5.4.  Example Search

   The following example Search is related to one hypothetical run of a
   Search test procedure that has been started with multiple Search
   Goals.  Several points in time are chosen, in order to show how the
   logic works, with specific sets of Trial Result available.  The trial
   results themselves are not very realistic, as the intention is to
   show several corner cases of the logic.

   In all Trials, the Effective Trial Duration is equal to Trial
   Duration.

   Only one Trial Load is in focus, its value is one million frames per
   second.  Trial Results at other Trial Loads are not mentioned, as the
   parts of logic present here do not depend on those.  In practice,
   Trial Results at other Load values would be present, e.g.  MLRsearch
   will look for a Lower Bound smaller than any Upper Bound found.

   In all points in time, only one Search Goal instance is marked as "in
   focus".  That explains Trial Duration of the new Trials, but is
   otherwise unrelated to the logic applied.

   MLRsearch implementations are not required to "focus" on one goal at
   time, but this example is useful to show a load can be classified
   also for goals not "in focus".

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5.4.1.  Example Goals

   The following four Search Goal instances are selected for the example
   Search.  Each goal has a readable name and dense code, the code is
   useful to show Search Goal attribute values.

   As the variable "exceed coefficient" does not depend on trial
   results, it is also precomputed here.

   Goal 1:

   name: RFC2544
   Goal Final Trial Duration: 60s
   Goal Duration Sum: 60s
   Goal Loss Ratio: 0%
   Goal Exceed Ratio: 0%
   exceed coefficient: 0% / (100% / 0%) = 0.0
   code: 60f60d0l0e

   Goal 2:

   name: TST009
   Goal Final Trial Duration: 60s
   Goal Duration Sum: 120s
   Goal Loss Ratio: 0%
   Goal Exceed Ratio: 50%
   exceed coefficient: 50% / (100% - 50%) = 1.0
   code: 60f120d0l50e

   Goal 3:

   name: 1s final
   Goal Final Trial Duration: 1s
   Goal Duration Sum: 120s
   Goal Loss Ratio: 0.5%
   Goal Exceed Ratio: 50%
   exceed coefficient: 50% / (100% - 50%) = 1.0
   code: 1f120d.5l50e

   Goal 4:

   name: 20% exceed
   Goal Final Trial Duration: 60s
   Goal Duration Sum: 60s
   Goal Loss Ratio: 0.5%
   Goal Exceed Ratio: 20%
   exceed coefficient: 20% / (100% - 20%) = 0.25
   code: 60f60d0.5l20e

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   The first two goals are important for compliance reasons, the other
   two cover less frequent cases.

5.4.2.  Example Trial Results

   The following six sets of trial results are selected for the example
   Search.  The sets are defined as points in time, describing which
   Trial Results were added since the previous point.

   Each point has a readable name and dense code, the code is useful to
   show Trial Output attribute values and number of times identical
   results were added.

   Point 1:

   name: first short good
   goal in focus: 1s final (1f120d.5l50e)
   added Trial Results: 59 trials, each 1 second and 0% loss
   code: 59x1s0l

   Point 2:

   name: first short bad
   goal in focus: 1s final (1f120d.5l50e)
   added Trial Result: one trial, 1 second, 1% loss
   code: 59x1s0l+1x1s1l

   Point 3:

   name: last short bad
   goal in focus: 1s final (1f120d.5l50e)
   added Trial Results: 59 trials, 1 second each, 1% loss each
   code: 59x1s0l+60x1s1l

   Point 4:

   name: last short good
   goal in focus: 1s final (1f120d.5l50e)
   added Trial Results: one trial 1 second, 0% loss
   code: 60x1s0l+60x1s1l

   Point 5:

   name: first long bad
   goal in focus: TST009 (60f120d0l50e)
   added Trial Results: one trial, 60 seconds, 0.1% loss
   code: 60x1s0l+60x1s1l+1x60s.1l

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   Point 6:

   name: first long good
   goal in focus: TST009 (60f120d0l50e)
   added Trial Results: one trial, 60 seconds, 0% loss
   code: 60x1s0l+60x1s1l+1x60s.1l+1x60s0l

   Comments on point in time naming:

   *  When a name contains "short", it means the added trial had Trial
      Duration of 1 second, which is Short Trial for 3 of the Search
      Goals, but it is a Full-Length Trial for the "1s final" goal.

   *  Similarly, "long" in name means the added trial had Trial Duration
      of 60 seconds, which is Full-Length Trial for 3 goals but Long
      Trial for the "1s final" goal.

   *  When a name contains "good" it means the added trial is Low-Loss
      Trial for all the goals.

   *  When a name contains "short bad" it means the added trial is High-
      Loss Trial for all the goals.

   *  When a name contains "long bad", it means the added trial is a
      High-Loss Trial for goals "RFC2544" and "TST009", but it is a Low-
      Loss Trial for the two other goals.

5.4.3.  Load Classification Computations

   This section shows how Load Classification logic is applied by
   listing all temporary values at the specific time point.

5.4.3.1.  Point 1

   This is the "first short good" point.  Code for available results is:
   59x1s0l

    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |0s          |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |59s         |0s           |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+

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    |Short high-   |0s        |0s          |0s          |0s           |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|59s       |59s         |0s          |59s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |59s         |0s          |14.75s       |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |0s        |-59s        |0s          |-14.75s      |
    +--------------+----------+------------+------------+-------------+
    |Positive      |0s        |0s          |0s          |0s           |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |0s        |0s          |0s          |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|0s        |0s          |59s         |0s           |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |120s        |120s        |60s          |
    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |60s       |120s        |61s         |60s          |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |60s       |120s        |61s         |60s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |0%        |0%          |0%          |0%           |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |100%      |100%        |50.833%     |100%         |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Undecided |Undecided   |Undecided   |Undecided    |
    |Result        |          |            |            |             |
    +--------------+----------+------------+------------+-------------+

                                  Table 1

   This is the last point in time where all goals have this load as
   Undecided.

5.4.3.2.  Point 2

   This is the "first short bad" point.  Code for available results is:
   59x1s0l+1x1s1l

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    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |1s          |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |59s         |0s           |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short high-   |1s        |1s          |0s          |1s           |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|59s       |59s         |0s          |59s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |59s         |0s          |14.75s       |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |1s        |-58s        |0s          |-13.75s      |
    +--------------+----------+------------+------------+-------------+
    |Positive      |1s        |0s          |0s          |0s           |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |1s        |0s          |1s          |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|1s        |0s          |60s         |0s           |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |120s        |120s        |60s          |
    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |59s       |120s        |60s         |60s          |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |60s       |120s        |61s         |60s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |1.667%    |0%          |0.833%      |0%           |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |100%      |100%        |50.833%     |100%         |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Upper     |Undecided   |Undecided   |Undecided    |
    |Result        |Bound     |            |            |             |
    +--------------+----------+------------+------------+-------------+

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                                  Table 2

   Due to zero Goal Loss Ratio, RFC2544 goal must have mild or strong
   increase of exceed probability, so the one lossy trial would be lossy
   even if measured at 60 second duration.  Due to zero exceed ratio,
   one High-Loss Trial is enough to preclude this Load from becoming a
   Lower Bound for RFC2544.  That is why this Load is classified as an
   Upper Bound for RFC2544 this early.

   This is an example how significant time can be saved, compared to
   60-second trials.

5.4.3.3.  Point 3

   This is the "last short bad" point.  Code for available trial results
   is: 59x1s0l+60x1s1l

    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |60s         |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |59s         |0s           |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short high-   |60s       |60s         |0s          |60s          |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|59s       |59s         |0s          |59s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |59s         |0s          |14.75s       |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |60s       |1s          |0s          |45.25s       |
    +--------------+----------+------------+------------+-------------+
    |Positive      |60s       |1s          |0s          |45.25s       |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |1s          |60s         |45.25s       |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|60s       |1s          |119s        |45.25s       |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |120s        |120s        |60s          |

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    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |0s        |119s        |1s          |14.75s       |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |60s       |120s        |61s         |60s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |100%      |0.833%      |50%         |75.417%      |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |100%      |100%        |50.833%     |100%         |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Upper     |Undecided   |Undecided   |Upper Bound  |
    |Result        |Bound     |            |            |             |
    +--------------+----------+------------+------------+-------------+

                                  Table 3

   This is the last point for "1s final" goal to have this Load still
   Undecided.  Only one 1-second trial is missing within the 120-second
   Goal Duration Sum, but its result will decide the classification
   result.

   The "20% exceed" started to classify this load as an Upper Bound
   somewhere between points 2 and 3.

5.4.3.4.  Point 4

   This is the "last short good" point.  Code for available trial
   results is: 60x1s0l+60x1s1l

    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |60s         |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |60s         |0s           |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short high-   |60s       |60s         |0s          |60s          |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|60s       |60s         |0s          |60s          |
    |sum           |          |            |            |             |

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    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |60s         |0s          |15s          |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |60s       |0s          |0s          |45s          |
    +--------------+----------+------------+------------+-------------+
    |Positive      |60s       |0s          |0s          |45s          |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |0s          |60s         |45s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|60s       |0s          |120s        |45s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |60s       |120s        |120s        |60s          |
    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |0s        |120s        |0s          |15s          |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |60s       |120s        |60s         |60s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |100%      |0%          |50%         |75%          |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |100%      |100%        |50%         |100%         |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Upper     |Undecided   |Lower Bound |Upper Bound  |
    |Result        |Bound     |            |            |             |
    +--------------+----------+------------+------------+-------------+

                                  Table 4

   The one missing trial for "1s final" was low-loss, half of trial
   results are low-loss which exactly matches 50% exceed ratio.  This
   shows time savings are not guaranteed.

5.4.3.5.  Point 5

   This is the "first long bad" point.  Code for available trial results
   is: 60x1s0l+60x1s1l+1x60s.1l

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    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |60s       |60s         |60s         |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |0s        |0s          |120s        |60s          |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short high-   |60s       |60s         |0s          |60s          |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|60s       |60s         |0s          |60s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |60s         |0s          |15s          |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |60s       |0s          |0s          |45s          |
    +--------------+----------+------------+------------+-------------+
    |Positive      |60s       |0s          |0s          |45s          |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |120s      |60s         |60s         |45s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|120s      |60s         |180s        |105s         |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |120s      |120s        |180s        |105s         |
    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |0s        |60s         |0s          |0s           |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |120s      |120s        |60s         |45s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |100%      |50%         |33.333%     |42.857%      |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |100%      |100%        |33.333%     |42.857%      |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Upper     |Undecided   |Lower Bound |Lower Bound  |
    |Result        |Bound     |            |            |             |
    +--------------+----------+------------+------------+-------------+

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                                  Table 5

   As designed for TST009 goal, one Full-Length High-Loss Trial can be
   tolerated. 120s worth of 1-second trials is not useful, as this is
   allowed when Exceed Probability does not depend on Trial Duration.
   As Goal Loss Ratio is zero, it is not really possible for 60-second
   trials to compensate for losses seen in 1-second results.  But Load
   Classification logic does not have that knowledge hardcoded, so
   optimistic exceed ratio is still only 50%.

   But the 0.1% Trial Loss Ratio is smaller than "20% exceed" Goal Loss
   Ratio, so this unexpected Full-Length Low-Loss trial changed the
   classification result of this Load to Lower Bound.

5.4.3.6.  Point 6

   This is the "first long good" point.  Code for available trial
   results is: 60x1s0l+60x1s1l+1x60s.1l+1x60s0l

    +==============+==========+============+============+=============+
    |Goal name     |RFC2544   |TST009      |1s final    |20% exceed   |
    +==============+==========+============+============+=============+
    |Goal code     |60f60d0l0e|60f120d0l50e|1f120d.5l50e|60f60d0.5l20e|
    +--------------+----------+------------+------------+-------------+
    |Full-length   |60s       |60s         |60s         |0s           |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Full-length   |60s       |60s         |180s        |120s         |
    |low-loss sum  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short high-   |60s       |60s         |0s          |60s          |
    |loss sum      |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Short low-loss|60s       |60s         |0s          |60s          |
    |sum           |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Balancing sum |0s        |60s         |0s          |15s          |
    +--------------+----------+------------+------------+-------------+
    |Excess sum    |60s       |0s          |0s          |45s          |
    +--------------+----------+------------+------------+-------------+
    |Positive      |60s       |0s          |0s          |45s          |
    |excess sum    |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective     |120s      |60s         |60s         |45s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Effective full|180s      |120s        |240s        |165s         |
    |sum           |          |            |            |             |

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    +--------------+----------+------------+------------+-------------+
    |Effective     |180s      |120s        |240s        |165s         |
    |whole sum     |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Missing sum   |0s        |0s          |0s          |0s           |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |120s      |60s         |60s         |45s          |
    |high-loss sum |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Optimistic    |66.667%   |50%         |25%         |27.273%      |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Pessimistic   |66.667%   |50%         |25%         |27.273%      |
    |exceed ratio  |          |            |            |             |
    +--------------+----------+------------+------------+-------------+
    |Classification|Upper     |Lower Bound |Lower Bound |Lower Bound  |
    |Result        |Bound     |            |            |             |
    +--------------+----------+------------+------------+-------------+

                                  Table 6

   This is the Low-Loss Trial the "TST009" goal was waiting for.  This
   Load is now classified for all goals, the search may end.  Or, more
   realistically, it can focus on higher load only, as the three goals
   will want an Upper Bound (unless this Load is Max Load).

5.4.4.  Conditional Throughput Computations

   At the end of the hypothetical search, "RFC2544" goal has this load
   classified as an Upper Bound, so it is not eligible for Conditional
   Throughput calculations.  But the remaining three goals calssify this
   Load as a Lower Bound, and if we assume it has also became the
   Relevant Lower Bound, we can compute Conditional Throughput values
   for all three goals.

   As a reminder, the Load value is one million frames per second.

5.4.4.1.  Goal 2

   The Conditional Throughput is computed from sorted list of Full-
   Length Trial results.  As TST009 Goal Final Trial Duration is 60
   seconds, only two of 122 Trials are considered Full-Length Trials.
   One has Trial Loss Ratio of 0%, the other of 0.1%.

   *  Full-length high-loss sum is 60 seconds.

   *  Full-length low-loss sum is 60 seconds.

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   *  Full-length is 120 seconds.

   *  Subceed ratio is 50%.

   *  Remaining sum initially is 0.5x12s = 60 seconds.

   *  Current loss ratio initially is 100%.

   *  For first result (duration 60s, loss 0%):

      -  Remaining sum is larger than zero, not exiting the loop.

      -  Set current loss ratio to this trial's Trial Loss Ratio which
         is 0%.

      -  Decrease the remaining sum by this trial's Trial Effective
         Duration.

      -  New remaining sum is 60s - 60s = 0s.

   *  For second result (duration 60s, loss 0.1%):

   *  Remaining sum is not larger than zero, exiting the loop.

   *  Current forwarding ratio was most recently set to 0%.

   *  Current forwarding ratio is one minus the current loss ratio, so
      100%.

   *  Conditional Throughput is the current forwarding ratio multiplied
      by the Load value.

   *  Conditional Throughput is one million frames per second.

5.4.4.2.  Goal 3

   The "1s final" has Goal Final Trial Duration of 1 second, so all 122
   Trial Results are considered Full-Length Trials.  They are ordered
   like this:

   60 1-second 0% loss trials,
   1 60-second 0% loss trial,
   1 60-second 0.1% loss trial,
   60 1-second 1% loss trials.

   The result does not depend on the order of 0% loss trials.

   *  Full-length high-loss sum is 60 seconds.

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   *  Full-length low-loss sum is 180 seconds.

   *  Full-length is 240 seconds.

   *  Subceed ratio is 50%.

   *  Remaining sum initially is 0.5x240s = 120 seconds.

   *  Current loss ratio initially is 100%.

   *  For first 61 results (duration varies, loss 0%):

      -  Remaining sum is larger than zero, not exiting the loop.

      -  Set current loss ratio to this trial's Trial Loss Ratio which
         is 0%.

      -  Decrease the remaining sum by this trial's Trial Effective
         Duration.

      -  New remaining sum varies.

   *  After 61 trials, we have subtracted 60x1s + 1x60s from 120s,
      remaining 0s.

   *  For 62-th result (duration 60s, loss 0.1%):

      -  Remaining sum is not larger than zero, exiting the loop.

   *  Current forwarding ratio was most recently set to 0%.

   *  Current forwarding ratio is one minus the current loss ratio, so
      100%.

   *  Conditional Throughput is the current forwarding ratio multiplied
      by the Load value.

   *  Conditional Throughput is one million frames per second.

5.4.4.3.  Goal 4

   The Conditional Throughput is computed from sorted list of Full-
   Length Trial results.  As "20% exceed" Goal Final Trial Duration is
   60 seconds, only two of 122 Trials are considered Full-Length Trials.
   One has Trial Loss Ratio of 0%, the other of 0.1%.

   *  Full-length high-loss sum is 60 seconds.

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   *  Full-length low-loss sum is 60 seconds.

   *  Full-length is 120 seconds.

   *  Subceed ratio is 80%.

   *  Remaining sum initially is 0.8x120s = 96 seconds.

   *  Current loss ratio initially is 100%.

   *  For first result (duration 60s, loss 0%):

      -  Remaining sum is larger than zero, not exiting the loop.

      -  Set current loss ratio to this trial's Trial Loss Ratio which
         is 0%.

      -  Decrease the remaining sum by this trial's Trial Effective
         Duration.

      -  New remaining sum is 96s - 60s = 36s.

   *  For second result (duration 60s, loss 0.1%):

      -  Remaining sum is larger than zero, not exiting the loop.

      -  Set current loss ratio to this trial's Trial Loss Ratio which
         is 0.1%.

      -  Decrease the remaining sum by this trial's Trial Effective
         Duration.

      -  New remaining sum is 36s - 60s = -24s.

   *  No more trials (and also remaining sum is not larger than zero),
      exiting loop.

   *  Current forwarding ratio was most recently set to 0.1%.

   *  Current forwarding ratio is one minus the current loss ratio, so
      99.9%.

   *  Conditional Throughput is the current forwarding ratio multiplied
      by the Load value.

   *  Conditional Throughput is 999 thousand frames per second.

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   Due to stricter Goal Exceed Ratio, this Conditional Throughput is
   smaller than Conditional Throughput of the other two goals.

6.  IANA Considerations

   No requests of IANA.

7.  Security Considerations

   Benchmarking activities as described in this memo are limited to
   technology characterization of a DUT/SUT using controlled stimuli in
   a laboratory environment, with dedicated address space and the
   constraints specified in the sections above.

   The benchmarking network topology will be an independent test setup
   and MUST NOT be connected to devices that may forward the test
   traffic into a production network or misroute traffic to the test
   management network.

   Further, benchmarking is performed on a "black-box" basis, relying
   solely on measurements observable external to the DUT/SUT.

   Special capabilities SHOULD NOT exist in the DUT/SUT specifically for
   benchmarking purposes.  Any implications for network security arising
   from the DUT/SUT SHOULD be identical in the lab and in production
   networks.

8.  Acknowledgements

   Some phrases and statements in this document were created with help
   of Mistral AI (mistral.ai).

   Many thanks to Alec Hothan of the OPNFV NFVbench project for thorough
   review and numerous useful comments and suggestions in the earlier
   versions of this document.

   Special wholehearted gratitude and thanks to the late Al Morton for
   his thorough reviews filled with very specific feedback and
   constructive guidelines.  Thank you Al for the close collaboration
   over the years, for your continuous unwavering encouragement full of
   empathy and positive attitude.  Al, you are dearly missed.

9.  Appendix A: Load Classification

   This section specifies how to perform the load classification.

   Any Trial Load value can be classified, according to a given Search
   Goal (Section 3.5.7).

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   The algorithm uses (some subsets of) the set of all available trial
   results from trials measured at a given intended load at the end of
   the search.  All durations are those returned by the Measurer.

   The block at the end of this appendix holds pseudocode which computes
   two values, stored in variables named optimistic_is_lower and
   pessimistic_is_lower.

   The pseudocode happens to be valid Python code.

   If values of both variables are computed to be true, the load in
   question is classified as a lower bound according to the given Search
   Goal.  If values of both variables are false, the load is classified
   as an upper bound.  Otherwise, the load is classified as undecided.

   The pseudocode expects the following variables to hold the following
   values:

   *  goal_duration_sum: The duration sum value of the given Search
      Goal.

   *  goal_exceed_ratio: The exceed ratio value of the given Search
      Goal.

   *  full_length_low_loss_sum: Sum of durations across trials with
      trial duration at least equal to the goal final trial duration and
      with a Trial Loss Ratio not higher than the Goal Loss Ratio.

   *  full_length_high_loss_sum: Sum of durations across trials with
      trial duration at least equal to the goal final trial duration and
      with a Trial Loss Ratio higher than the Goal Loss Ratio.

   *  short_low_loss_sum: Sum of durations across trials with trial
      duration shorter than the goal final trial duration and with a
      Trial Loss Ratio not higher than the Goal Loss Ratio.

   *  short_high_loss_sum: Sum of durations across trials with trial
      duration shorter than the goal final trial duration and with a
      Trial Loss Ratio higher than the Goal Loss Ratio.

   The code works correctly also when there are no trial results at a
   given load.

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   exceed_coefficient = goal_exceed_ratio / (1.0 - goal_exceed_ratio)
   balancing_sum = short_low_loss_sum * exceed_coefficient
   positive_excess_sum = max(0.0, short_high_loss_sum - balancing_sum)
   effective_high_loss_sum = full_length_high_loss_sum + positive_excess_sum
   effective_full_length_sum = full_length_low_loss_sum + effective_high_loss_sum
   effective_whole_sum = max(effective_full_length_sum, goal_duration_sum)
   quantile_duration_sum = effective_whole_sum * goal_exceed_ratio
   pessimistic_high_loss_sum = effective_whole_sum - full_length_low_loss_sum
   pessimistic_is_lower = pessimistic_high_loss_sum <= quantile_duration_sum
   optimistic_is_lower = effective_high_loss_sum <= quantile_duration_sum

10.  Appendix B: Conditional Throughput

   This section specifies how to compute Conditional Throughput, as
   referred to in section Conditional Throughput (Section 3.7.3).

   Any intended load value can be used as the basis for the following
   computation, but only the Relevant Lower Bound (at the end of the
   search) leads to the value called the Conditional Throughput for a
   given Search Goal.

   The algorithm uses (some subsets of) the set of all available trial
   results from trials measured at a given intended load at the end of
   the search.  All durations are those returned by the Measurer.

   The block at the end of this appendix holds pseudocode which computes
   a value stored as variable conditional_throughput.

   The pseudocode happens to be valid Python code.

   The pseudocode expects the following variables to hold the following
   values:

   *  goal_duration_sum: The duration sum value of the given Search
      Goal.

   *  goal_exceed_ratio: The exceed ratio value of the given Search
      Goal.

   *  full_length_low_loss_sum: Sum of durations across trials with
      trial duration at least equal to the goal final trial duration and
      with a Trial Loss Ratio not higher than the Goal Loss Ratio.

   *  full_length_high_loss_sum: Sum of durations across trials with
      trial duration at least equal to the goal final trial duration and
      with a Trial Loss Ratio higher than the Goal Loss Ratio.

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   *  full_length_trials: An iterable of all trial results from trials
      with trial duration at least equal to the goal final trial
      duration, sorted by increasing the Trial Loss Ratio.  A trial
      result is a composite with the following two attributes available:

      -  trial.loss_ratio: The Trial Loss Ratio as measured for this
         trial.

      -  trial.duration: The trial duration of this trial.

   The code works correctly only when there if there is at least one
   trial result measured at a given load.

   full_length_sum = full_length_low_loss_sum + full_length_high_loss_sum
   whole_sum = max(goal_duration_sum, full_length_sum)
   remaining = whole_sum * (1.0 - goal_exceed_ratio)
   quantile_loss_ratio = None
   for trial in full_length_trials:
       if quantile_loss_ratio is None or remaining > 0.0:
           quantile_loss_ratio = trial.loss_ratio
           remaining -= trial.duration
       else:
           break
   else:
       if remaining > 0.0:
           quantile_loss_ratio = 1.0
   conditional_throughput = intended_load * (1.0 - quantile_loss_ratio)

11.  Index

   *  Bound: Lower Bound or Upper Bound.

   *  Bounds: Lower Bound and Upper Bound.

   *  Conditional Throughput: defined in Conditional Throughput
      (Section 3.7.3), discussed in Generalized Throughput
      (Section 4.6).

   *  Controller: introduced in Overview (Section 3.1), defined in
      Controller (Section 3.8.2).

   *  Controller Input: defined in Controller Input (Section 3.5.8).

   *  Controller Output: defined in Controller Output (Section 3.7.6).

   *  Full-Length Trial: defined in Full-Length Trial (Section 3.6.2.4).

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   *  Goal Duration Sum: defined in Goal Duration Sum (Section 3.5.2),
      discussed in Exceed Ratio and Multiple Trials (Section 4.4).

   *  Goal Exceed Ratio: defined in Goal Exceed Ratio (Section 3.5.4),
      discussed in Exceed Ratio and Multiple Trials (Section 4.4).

   *  Goal Final Trial Duration: defined in Goal Final Trial Duration
      (Section 3.5.1).

   *  Goal Initial Trial Duration: defined in Goal Initial Trial
      Duration (Section 3.5.6).

   *  Goal Loss Ratio: defined in Goal Loss Ratio (Section 3.5.3).

   *  Goal Result: defined in Goal Result (Section 3.7.4.3).

   *  Goal Width: defined in Goal Width (Section 3.5.5).

   *  Exceed Probability: defined in Exceed Probability (Section 5.3.2)

   *  High-Loss Trial: defined in High-Loss Trial (Section 3.6.2.1).

   *  Intended Load: defined in [RFC2285] (Section 3.5.1).

   *  Irregular Goal Result: defined in Irregular Goal Result
      (Section 3.7.4.2).

   *  Load: introduced in Trial Load (Section 3.4.2).

   *  Load Classification: Introduced in Overview (Section 3.1), defined
      in Load Classification (Section 3.6.3), discussed in Load
      Classification Logic (Section 5.1).

   *  Loss Inversion: Situation introduced in Inconsistent Trial Results
      (Section 2.5), defined in Loss Ratios and Loss Inversion
      (Section 4.3).

   *  Low-Loss Trial: defined in Low-Loss Trial (Section 3.6.2.2).

   *  Lower Bound: defined in Lower Bound (Section 3.6.3.2).

   *  Manager: introduced in Overview (Section 3.1), defined in Manager
      (Section 3.8.3).

   *  Max Load: defined in Max Load (Section 3.5.8.1).

   *  Measurer: introduced in Overview (Section 3.1), defined in Meaurer
      (Section 3.8.1).

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   *  Min Load: defined in Min Load (Section 3.5.8.2).

   *  MLRsearch Specification: introduced in Purpose and Scope
      (Section 1) and in Overview (Section 3.1), defined in Test
      Procedure Compliant with MLRsearch (Section 3.9.1).

   *  MLRsearch Implementation: defined in Test Procedure Compliant with
      MLRsearch (Section 3.9.1).

   *  Offered Load: defined in [RFC2285] (Section 3.5.2).

   *  Regular Goal Result: defined in Regular Goal Result
      (Section 3.7.4.1).

   *  Relevant Bound: Relevant Lower Bound or Relevant Upper Bound.

   *  Relevant Bounds: Relevant Lower Bound and Relevant Upper Bound.

   *  Relevant Lower Bound: defined in Relevant Lower Bound
      (Section 3.7.2), discussed in Conservativeness and Relevant Bounds
      (Section 4.3.3).

   *  Relevant Upper Bound: defined in Relevant Upper Bound
      (Section 3.7.1).

   *  Search: defined in Overview (Section 3.1).

   *  Search Duration: introduced in Purpose and Scope (Section 1) and
      in Long Search Duration (Section 2.1), discussed in Stopping
      Conditions and Precision (Section 4.2).

   *  Search Goal: defined in Search Goal (Section 3.5.7).

   *  Search Result: defined in Search Result (Section 3.7.5).

   *  Short Trial: defined in Short Trial (Section 3.6.2.3).

   *  Throughput: defined in [RFC1242] (Section 3.17), Methodology
      specified in [RFC2544] (Section 26.1).

   *  Trial: defined in Trial (Section 3.3.3).

   *  Trial Duration: defined in Trial Duration (Section 3.4.1).

   *  Trial Effective Duration: defined in Trial Effective Duration
      (Section 3.4.8).

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   *  Trial Forwarding Rate: defined in Trial Forwarding Rate
      (Section 3.4.7).

   *  Trial Forwarding Ratio: defined in Trial Forwarding Ratio
      (Section 3.4.5).

   *  Trial Input: defined in Trial Input (Section 3.4.3).

   *  Trial Loss Ratio: defined in Trial Loss Ratio (Section 3.4.6).

   *  Trial Load: defined in Trial Load (Section 3.4.2).

   *  Trial Output: defined in Trial Output (Section 3.4.9).

   *  Trial Result: defined in Trial Result (Section 3.4.10).

   *  Upper Bound: defined in Upper Bound (Section 3.6.3.1).

12.  References

12.1.  Normative References

   [RFC1242]  Bradner, S., "Benchmarking Terminology for Network
              Interconnection Devices", RFC 1242, DOI 10.17487/RFC1242,
              July 1991, <https://www.rfc-editor.org/info/rfc1242>.

   [RFC2285]  Mandeville, R., "Benchmarking Terminology for LAN
              Switching Devices", RFC 2285, DOI 10.17487/RFC2285,
              February 1998, <https://www.rfc-editor.org/info/rfc2285>.

   [RFC2544]  Bradner, S. and J. McQuaid, "Benchmarking Methodology for
              Network Interconnect Devices", RFC 2544,
              DOI 10.17487/RFC2544, March 1999,
              <https://www.rfc-editor.org/info/rfc2544>.

   [RFC8219]  Georgescu, M., Pislaru, L., and G. Lencse, "Benchmarking
              Methodology for IPv6 Transition Technologies", RFC 8219,
              DOI 10.17487/RFC8219, August 2017,
              <https://www.rfc-editor.org/info/rfc8219>.

   [RFC9004]  Morton, A., "Updates for the Back-to-Back Frame Benchmark
              in RFC 2544", RFC 9004, DOI 10.17487/RFC9004, May 2021,
              <https://www.rfc-editor.org/info/rfc9004>.

12.2.  Informative References

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   [FDio-CSIT-MLRsearch]
              "FD.io CSIT Test Methodology - MLRsearch", October 2023,
              <https://csit.fd.io/cdocs/methodology/measurements/
              data_plane_throughput/mlr_search/>.

   [PyPI-MLRsearch]
              "MLRsearch 1.2.1, Python Package Index", October 2023,
              <https://pypi.org/project/MLRsearch/1.2.1/>.

   [TST009]   "TST 009", n.d., <https://www.etsi.org/deliver/etsi_gs/
              NFV-TST/001_099/009/03.04.01_60/gs_NFV-
              TST009v030401p.pdf>.

Authors' Addresses

   Maciek Konstantynowicz
   Cisco Systems
   Email: mkonstan@cisco.com

   Vratko Polak
   Cisco Systems
   Email: vrpolak@cisco.com

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