Transport Area Working Group B. Briscoe
Internet-Draft BT & UCL
Intended status: Informational July 06, 2007
Expires: January 7, 2008
Flow Rate Fairness: Dismantling a Religion
draft-briscoe-tsvarea-fair-02.pdf
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Abstract
Resource allocation and accountability have been major unresolved
problems with the Internet ever since its inception. The reason we
never resolve these issues is a broken idea of what the problem is.
The applied research and standards communities are using completely
unrealistic and impractical fairness criteria. The resulting
mechanisms don't even allocate the right thing and they don't
allocate it between the right entities. We explain as bluntly as we
can that thinking about fairness mechanisms like TCP in terms of
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sharing out flow rates has no intellectual heritage from any concept
of fairness in philosophy or social science, or indeed real life.
Comparing flow rates should never again be used for claims of
fairness in production networks. Instead, we should judge fairness
mechanisms on how they share out the `cost' of each user's actions on
others.
Summary of Changes (to be removed by the RFC Editor on Publication)
Full diffs created using the rfcdiff tool are available at
<http://www.cs.ucl.ac.uk/staff/B.Briscoe/pubs.html#rateFairDis>
From -01 to -02 (the present version):
Introduction: Added motivation for more optimal fairness so ISPs
don't try to make allocations more optimal manually using DPI etc.
Clarified minimal impact on 'legacy' protocols using flow rate
fairness as a goal, even if it is no longer a goal for future
protocols.
Section 3.1: clarified that cost fairness and re-ECN are not
equivalent in any sense.
Considerably clarified Section 4 "Cost, not Benefit", explaining
better why the product of congestion and rate represents the cost
to other users and why being able to reduce prices towards cost is
desirable for users. Emphasised that cost fairness does not
require congestion pricing and we do not recommend it. Also
emphasised that ISPs don't have to use the congestion metric to
enforce cost fairness, even if it is available. Clarified that
fairness is relevant within more Diffserv behaviour aggregates
than just best effort. Clarified that congestion includes
congestion of lower layer resources including radio resources etc.
Recommended Siris's algorithm rather than MulTCP.
Section 5.2 "Comparing Costs": expanded on the marginal cost
example. Re-emphasised that putting a limit on congestion in a
service level agreement is not congestion pricing.
Section 7 "Seminal Literature": added Jain's index of fairness.
Added reference to the new TFRC-SP RFC in Section 8.3 on TFRC and
in Section 9 on "Implications for the RFC Series".
Section 8.5 on "Packet Size and Fairness": Summarised advice in
referenced I-D.
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Updated references and numerous other minor edits and
clarifications.
From -00 to -01:
Toned down the polemic.
Added Section 8 "Critiques of Specific Schemes", adding
subsections on TCP and WFQ to previously disparate material on
max-min fairness, TFRC & router-based fairness approaches like
XCP, which have been shortened and clarified. Also added
subsections on TCP-style fairness wrt. RTT and packet size that
has been copied by other transports.
Added substantial new Section 9 "Implications for the RFC Series".
Added to the introduction the importance of the issue and the
general implications.
Created an expanded and clarified new subsection Section 5.2
"Comparing Costs" from text previously at the end of Section 5.1
"Something to Integrate the Allocations"
Added quote on flow granularity from RFC2309 & RFC2914.
Clarified and expanded Section 5.3.2 "Enforcing Cost Fairness".
Various clarifications throughout.
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Table of Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 5
2. Requirements notation . . . . . . . . . . . . . . . . . . . . 8
3. Fair Allocation of What Among What? . . . . . . . . . . . . . 8
3.1. Structure of Document . . . . . . . . . . . . . . . . . . 9
4. Cost, not Benefit . . . . . . . . . . . . . . . . . . . . . . 9
5. Economic Entities not Flows . . . . . . . . . . . . . . . . . 14
5.1. Something to Integrate the Allocations . . . . . . . . . . 14
5.2. Comparing Costs . . . . . . . . . . . . . . . . . . . . . 15
5.3. Enforcement of Fairness . . . . . . . . . . . . . . . . . 18
5.3.1. Cheating with Whitewashed or Split Flow Identities . . 18
5.3.2. Enforcing Cost Fairness . . . . . . . . . . . . . . . 20
6. Fairness between Fairnesses . . . . . . . . . . . . . . . . . 22
7. The Seminal Literature . . . . . . . . . . . . . . . . . . . . 24
8. Critiques of Specific Schemes . . . . . . . . . . . . . . . . 27
8.1. Max-min flow rate fairness . . . . . . . . . . . . . . . . 27
8.2. TCP . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
8.3. TFRC . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
8.4. RTT and Fairness . . . . . . . . . . . . . . . . . . . . . 29
8.5. Packet Size and Fairness . . . . . . . . . . . . . . . . . 29
8.6. XCP and router-based fairness schemes . . . . . . . . . . 30
8.7. WFQ . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
9. Implications for the RFC Series . . . . . . . . . . . . . . . 31
10. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 34
11. Security Considerations . . . . . . . . . . . . . . . . . . . 34
12. Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . 34
13. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . 36
14. Comments Solicited . . . . . . . . . . . . . . . . . . . . . . 36
15. References . . . . . . . . . . . . . . . . . . . . . . . . . . 36
15.1. Normative References . . . . . . . . . . . . . . . . . . . 36
15.2. Informative References . . . . . . . . . . . . . . . . . . 37
Author's Address . . . . . . . . . . . . . . . . . . . . . . . . . 43
Intellectual Property and Copyright Statements . . . . . . . . . . 44
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1. Introduction
"But he has nothing on at all."
_The Emperor's New Clothes, Hans Christian Andersen_
This document is deliberately destructive. It sets out to destroy an
ideology that is blocking progress--the idea that fairness between
multiplexed packet traffic can be achieved by controlling relative
flow rates alone. Flow rate fairness was the goal behind fair
resource allocation in widely deployed protocols like weighted fair
queuing [WFQ], TCP congestion control [RFC2581] and TCP-friendly
rate control [RFC3448]. But it is actually just unsubstantiated
dogma to say that equal flow rates are fair. This is why resource
allocation and accountability keep reappearing on every list of
requirements for the Internet architecture (e.g. [NewArchReq]), but
never get solved. Obscured by this broken idea, we wouldn't know a
good solution from a bad one.
Controlling relative flow rates _alone_ is a completely impractical
way of going about the problem. To be realistic for large-scale
Internet deployment, relative flow rates should be the _outcome_ of
another fairness mechanism, not the mechanism itself. That other
mechanism should share out the `cost' of one user's actions on
others--how much each user's transfers restrict other transfers,
given capacity constraints. Then flow rates will depend on a deeper
level of fairness that has so far remained unnamed in the literature,
but is best termed `cost fairness'.
It really is only the idea of flow rate fairness that needs
destroying--nearly everything we've engineered can remain. The
Internet architecture needs some minor additions, but otherwise it is
largely already suited to cost fairness.
The metric required to arbitrate cost fairness is simply volume of
congestion, that is congestion times the bit rate of each user
causing it, taken over time. In engineering terms, for each user it
can be measured very easily as the amount of data the user sent that
was dropped. Or with explicit congestion notification
(ECN [RFC3168]) the amount of each user's data to have been
congestion marked. Importantly, unlike flow rates, this metric
integrates easily and correctly across different flows on different
paths and across time, so it can be easily incorporated into future
service level agreements of ISPs.
What we call cost fairness has been in the literature for nearly a
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decade, but it hasn't been put so bluntly before. We were moved to
spell it out unambiguously (and avoiding maths), because this isn't
just some dry academic fairness debate that might change allocation
percentages somewhere in the third decimal place. The outcomes due
to flow rate fairness that we see on the Internet today are
hopelessly unlike the outcomes that would result from cost fairness.
Not that the outcomes we see are the deliberate intent of flow rate
fairness. They are the random result of an absence of fairness
control, because flow rate fairness isn't even capable of reasoning
about questions like, "How many flows is it fair to start between two
endpoints? or over different routes?" or, "What rate is fair for a
flow that has been running longer than another?".
Resource allocation and accountability are two issues that reappear
on every list of requirements for a new Internet
architecture [NewArchReq]. We could have started filling this
architectural vacuum a decade ago, but architecture not only requires
foundational ideas, it also requires consensus. In 1997, the basis
of the dominant consensus was completely undermined, but its
believers didn't even notice.
While everyone prevaricates, novel p2p applications have started to
thoroughly exploit this architectural vacuum with no guilt or shame,
by just running more flows for longer. Application developers
assume, and they have been led to assume, that fairness is dealt with
by TCP at the transport layer. In response some ISPs are deploying
kludges like volume caps or throttling specific applications using
deep packet inspection. Innocent experimental probing has turned
into an arms race. The p2p community's early concern for the good of
the Internet is being set aside, aided and abetted by commercial
concerns, in pursuit of a more pressing battle against the ISPs that
are fighting back. Bystanders sharing the same capacity are
suffering heavy collateral damage.
This trend has spread beyond the p2p community. There is now no
shame in opening multiple TCP connections, or offering VoIP or video
streaming software without any congestion control.
Whether the prevailing notion of flow rate fairness has been the root
cause or not, there will certainly be no solution until the
networking community gets its head out of the sand and understands
how unrealistic its view is; and how important this issue is--a
conflict between the vested interests of real businesses and real
people.
Certainly fairness is not a question of technical function--any
allocation `works'. But allowing self-interest to go largely
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unchecked leads to an outcome hopelessly skewed away from one that
would better satisfy more people more of the time. ISPs intuitively
know that their capacity isn't being shared in the best interests of
the majority of their customers. This is why technologies like deep
packet inspection middleboxes have been developed--ISPs know that
throttling certain applications puts them at a considerable
competitive advantage over ISPs that don't. These middleboxes are
blocking the potential of the Internet to evolve future applications,
but instead of wringing our hands over this issue, we should provide
a protocol architecture that does a much better job of automatically
sharing out Internet capacity. Then ISPs won't need these kludges to
protect the experience of their customers.
But isn't it a basic article of faith that multiple views of fairness
should be able to co-exist, the choice depending on policy?
Absolutely correct--and we shall return to how this can be done
later. But that doesn't mean we have to give the time of day to any
random idea of fairness.
Fair allocation of rates between flows was used in good faith as a
guiding principle, but it isn't based on any respected definition of
fairness from philosophy or the social sciences. It has just
gradually become the way things are done in networking. But it's
actually self-referential dogma. Or put more bluntly, bonkers.
We expect to be fair to people, groups of people, institutions,
companies--things the security community would call `principals'.
But a flow is merely an information transfer between two
applications. Where does the argument come from that information
transfers should have equal rights with each other? It's equivalent
to claiming food rations are fair because the boxes are all the same
size, irrespective of how many boxes each person gets or how often
they get them.
Because flows don't deserve rights in real life, it is not surprising
that two loopholes the size of barn doors appear when trying to
allocate rate fairly to flows in a non-cooperative environment. If
at every instant a resource is shared among the flows competing for a
share, any real-world entity can gain by i) creating more flows than
anyone else, and ii) keeping them going longer than anyone else.
We appeal to the networking community to quietly set aside rate
fairness between flows. It had its time, but now it has been shown
to be unfounded, unrealistic and impractical. Future papers and
standards proposals claiming fairness on the basis of flow rates
should be rejected. This does not mean we need to phase out 'legacy'
protocols that aimed for flow rate fairness--they will continue to
function adequately (Section 9); they simply might not make best use
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of future service level agreements offered by ISPs. But no-one
should ever set flow rate fairness as a goal in future Internet
protocols--it places arbitrary requirements on the system that can't
be met and wouldn't achieve any meaningful sort of fairness even if
they could be met.
Alternatively, someone should write a defence of flow rate fairness.
Continuing to use flow rate fairness as the dominant ideology,
without rebutting Kelly's seminal 1997 paper that undermined it, just
leaves the Internet community divided into religious sects, making a
mockery of the scientific process towards consensus.
2. Requirements notation
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
document are to be interpreted as described in [RFC2119].
3. Fair Allocation of What Among What?
The issue with flow rate fairness is far more basic than whether
allocations should be max-min, proportional or whatever. Flow rate
fairness doesn't even allocate the correct thing. And it doesn't
allocate it among the correct entities either. At this most basic
level we will contrast the two main contending views:
o Allocate rate among flows (flow rate fairness)
o Allocate congestion cost among the bits sent by economic entities
(cost fairness)
When cost fairness was proposed, it stated its case in terms of the
dominant belief system--flow rate fairness. Unfortunately, this
meant that the dominant belief system didn't notice it had been
struck an intellectual death blow. Its believers carried on
regardless and it remains dominant today.
As a result, one sees talk of weighted proportional fairness in the
same context as proportional, max-min or min-max fairness as if they
are all members of the same set. They are not. Weighted
proportional fairness has an extra weight parameter w that all the
others lack. With weighted proportional fairness, the interesting
bit is what regulates users in their choice of w. Otherwise, it
would hardly be a useful definition of fairness to say it is fair for
flow A to go w times as fast as flow B, if the user behind flow A has
free choice of w.
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In fact, it turns out that the interesting bit is nothing to do with
flows, or their weights. For internetworking the _only_ interesting
definition of fairness depends on the allocation of cost among the
bits sent by economic entities, regardless of which flows the bits
are in. A user's choice of w then depends on that.
3.1. Structure of Document
The body of this document is structured around our question, "Fair
allocation of what among what?":
o Section 4 answers the "...of what...?" question, explaining why
fair allocation of costs is a sufficient and realistic form of
fairness, and allocation of rate is not.
o Section 5 answers the "...among what?" question, explaining why
fairness among economic entities naturally spans all flows from
that entity across the Internet (space) and across time, whereas
fairness among flows can only be myopic; in one location and at
one instant. Also, to demonstrate that it would be practical to
enforce cost fairness, we briefly outline a protocol proposal
called re-ECN. Note that cost fairness and re-ECN are in no sense
equivalent; re-ECN is just one possible way in which cost fairness
might be enforced and anyway re-ECN was actually designed to
enforce both cost fairness and flow rate fairness.
Having debunked the dominant ideology of flow rate fairness, and
replaced it with cost fairness, in Section 6 we discuss how other
forms of fairness can be asserted locally. Then, before we draw
conclusions, Section 7 maps the progression of seminal ideas in the
literature on which this memo is based and Section 8 outlines
concrete criticisms of specific fairness schemes: max-min flow rate
fairness, TCP, TFRC, WFQ and XCP as well as discussions of dependence
on RTT and packet size. Finally, Section 9 surveys which RFCs will
have to be updated if we are to stop using flow rate fairness as a
goal for future IETF protocols. A FAQ Web page [FairFAQ] is also
planned to answer some frequently asked questions that didn't fit
easily into the main flow of this document.
4. Cost, not Benefit
The issues of fair allocation of resources comes under the domain of
political economy, with philosophy reasoning about our judgements.
In Section 6 we will discuss how different fairness policies can co-
exist. But to answer our question, "Fair allocation of what?" we
start from the premise used in microeconomics (and life) that
fairness concerns comparing benefits, costs or both.
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The benefit of a data transfer can be assumed to increase with flow
rate, but the shape and size of the function relating the two (the
utility function) is unknown, subjective and private to each user.
Flow rate itself is an extremely inadequate measure for comparing
benefits: user benefit per bit rate might be ten orders of magnitude
different for different types of flow (e.g. SMS and video). So
different applications might derive completely different benefits
from equal flow rates and equal benefits might be derived from very
different flow rates.
Turning to the cost of a data transfer across a network, flow rate
alone is not the measure of that either. Cost is also dependent on
the level of congestion on the path. This is counter-intuitive for
some people so we shall explain a little further. Once a network has
been provisioned at a certain size, it doesn't cost a network
operator any more whether a user sends more data or not. But if the
network becomes congested, each user restricts every other user,
which can be interpreted as a cost _to all_--an externality in
economic terms. When there is no congestion, more usage costs
nothing. But at each instant that congestion exists, continued usage
of the congested resource leads to a cost to all those trying to use
it. This cost is proportional to the risk of data not being
forwarded--the loss rate. Each user causes the cost to everyone else
as well as to themselves.
Kelly showed [wPropFair] that the system becomes optimal if the blame
for congestion is attributed among all the users causing it, in
proportion to their bit rates. That's exactly what routers are
designed to do anyway. During congestion, a queue randomly
distributes the losses so all flows see about the same loss rate (or
ECN marking rate); if a flow has twice the bit rate of another it
should see twice the losses. In this respect random early detection
(RED [RFC2309]) is slightly fairer than drop tail, but to a first
order approximation they both meet this criterion.
So in networking, the usage cost of one flow's behaviour depends on
the congestion volume it causes, which is the product of its
instantaneous flow rate and congestion on its path, integrated over
time. For instance, if two users are sending at 200kbps and 300kbps
into a 450kbps line for 0.5s, congestion is (200+300-450)/(200+300) =
10% so the congestion volume each causes is 200kx 10%x 0.5 = 10kb and
15kb respectively.
So cost depends not only on flow rate, but on congestion as well.
Typically congestion might be in the fractions of a percent but it
varies from zero to tens of percent. So, flow rate can never alone
serve as a measure of cost.
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To summarise so far, flow rate is a hopelessly incorrect proxy both
for benefit and for cost. Even if the intent was to equalise
benefits, equalising flow-rates wouldn't achieve it. Even if the
intent was to equalise costs, equalising flow-rates wouldn't achieve
it.
But actually a realistic resource allocation mechanism only needs to
concern itself with costs, then benefits will look after themselves.
In life, as long as people cover the cost of their actions, it is
generally considered fair enough. If one person enjoys a hot shower
more than their neighbour enjoys the toast they made with equal units
of electricity, no-one expects the one who enjoyed the shower to have
to pay more. If someone makes more of their lot in life than
another, some complain it's not fair, but most call this envy, not
unfairness. Market economics works on the same premise
(unsurprisingly given life and market economics are closely related).
The ideal of pure microeconomics is to ensure that everyone pays as
little as possible (the cost) for the things they value. The reason
we try to ensure markets are competitive is that any provider who
tries to sell above cost price will be undercut by a competitor. And
once things are sold at cost, the idea is that people will choose not
to have an item if they will get less benefit from it than it costs.
Being prevented from having something if you aren't prepared to cover
the cost is a basic level of fairness that is particularly important
when the cost is suffered by others around you.
The problem with the current Internet architecture is that the cost
of usage (congestion volume) is hidden from network providers.
Everyone would like prices to drop towards cost, but even if Internet
provision gets more competitive, there is no mechanism to reveal what
the costs are. So no-one can stop certain users causing more costs
to others than they have paid for (except by using the damaging
kludges mentioned early).
So far, we have only used the pure microeconomics of a market. But
this only ensures benefits are as fairly distributed as is consistent
with the pre-existing inequalities in life, setting aside other forms
of fairness that might be required (the concern of political
economy). But once we have a feasible, scalable system that
counterbalances basic self-interest and at least implements one
defined form of fairness, we will show (in Section 6) how to build
other forms of fairness within that.
To further summarise so far, making people accountable for the cost
of their actions is a basic form of fairness, and we can only achieve
various more sophisticated forms of fairness if a basic market
mechanism can make people accountable for the costs of their actions
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(and various market failures are avoided).
We deliberately say `make people accountable' to avoid the phrase
`make people pay', because users tend to prefer flat rate
subscription for Internet access not unpredictable congestion
charges. So, ISPs will want to be able to limit the congestion costs
their users are able to cause (Section 5.3.2), rather than charge
them for whatever unlimited costs they cause. We are certainly not
advocating congestion pricing for retail users. No matter how many
times we say this, people still wrongly jump to this conclusion. So
note well again: we neither require nor recommend that retail users
pay congestion prices to be able to achieve cost fairness.
Indeed, all we are saying is that a congestion metric should be
visible to those ISPs who want to include it in their service level
agreements. We are _not_ saying ISPs _should_ do this, just that it
is in everyone's interests that the costs people cause can be limited
to what they have paid. So the Internet architecture should be
_able_ to reveal a cost metric.
If we do make users truly accountable for the cost of the congestion
they cause, a form of fairness between flow rates emerges
automatically. As everyone increases the rate of each of their
flows, congestion rises. As congestion rises, everyone pays due
regard to the share of the cost attributed to them. So, each
individual will want their congestion control algorithm to
continuously adjust its rate to maximise their net utility--benefit
minus cost. Kelly [wPropFair] shows that even if each user keeps
their utility function private but we _model_ all the different users
by an arbitrary weight that scales their utility function relative to
others, users will allocate themselves flow rates so that the cost
they cause will equal the weight they choose--weighted proportional
fairness.
But such a flow rate allocation is not the measure of fairness, it is
merely a possible _outcome_ caused by cost fairness, given some
assumptions about how to model the shape of users' private utility
functions. Enforcing underlying cost fairness is in itself a
sufficient form of fairness. We repeat: _the resulting relative flow
rates are not the measure of fairness_.
Most importantly, Kelly proved cost fairness would lead everyone to
maximise their combined aggregate utility across the whole Internet.
In other words, if anyone was allocated more and someone else less,
the outcome would be less aggregate utility as a whole. This is why
cost fairness is so important, as other forms of fairness cannot be
better, unless some major flaw is found in Kelly's assumptions.
Kelly _et al_ also proved that, even though relative flow rates would
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likely be very different from those seen today, the Internet would
remain stable given reasonable constraints and
assumptions [wPropStab].
While on the subject of assumptions, we should add that the benefit
of a real-time application depends on jitter, not just transfer rate.
But simple scaling arguments show that it will be possible for
network operators to minimise congestion delay as networks increase
in capacity ([SelfMan] S.2), an argument supported by recent research
showing that router buffers are often significantly
oversized [BufSizUp].
We should also point out that fairness can be relevant within any
Diffserv behaviour aggregate [RFC2475], not just best effort, and
that congestion is not solely a property of network layer buffers.
Path congestion can consist of contributions from near-exhaustion of
all sorts of physical resources at all layers: e.g. radio transmitter
power, spectrum interference and battery power. Siris
[ECNFixedWireless] explains how all these can and should be collected
together along a path into ECN markings at the network layer to be
fed back to the source transport.
These are what we mean by reasonable assumptions around Kelly's
fairness definition. On the other hand, no-one has even tried to
claim that flow rate equality achieves any fairness objective. It
has just been asserted as an arbitrary engineer's dogma. This is why
flow rate fairness is so open to criticism as unrealistic--having no
basis in any recognised form of fairness in real life, science or
philosophy.
Proponents of flow-rate fairness might be forgiven for aiming for an
`unrealistic' form of fairness if a `realistic' form was difficult to
implement in practice. In fact, it is flow rate fairness that is
completely impractical to enforce (Section 5.3.1). The reason we are
resurrecting cost fairness is that we believe there are now much more
practical ways to enforce it--ways that are built around existing
Internet congestion control but, unlike Kelly's, they don't require
all ISPs to change their retail model to congestion charging
(Section 5.3.2).
But how would users "allocate themselves flow rates in proportion to
the share of the cost that they cause"? If they were made
accountable for congestion, they would install a version of TCP with
a weight parameter, at least for TCP-based applications.
MulTCP [MulTCP] is a simple example of such a TCP. An application
can give it a parameter w to emulate the congestion behaviour of w
TCP flows. MulTCP is conceptually useful for those familiar with
TCP, but it has various failings (e.g. w<1 became increasingly
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problematic). Instead we would recommend an algorithm such as
Siris's weighted window-based control [WindowPropFair].
Of course, most users wouldn't want the fuss of weighting each
individual flow. But if they chose to set policies on average for
large classes of flows (or to accept the defaults set by application
developers), the resulting suboptimal outcome for themselves would be
their own private choice to trade optimality against hassle. The
underlying fairness criterion would still be met: that people should
be accountable for the costs they cause to others.
In contrast, with flow-rate fairness, two flows may cause orders of
magnitude different costs to others (for instance if one has been
running orders of magnitude longer) by running at equal rates.
Nowhere do we find any justification for the dogma that flow rates
must be equal to be fair. Nowhere do we find any rebuttal of Kelly's
destruction of flow rate fairness, even after ten years.
5. Economic Entities not Flows
5.1. Something to Integrate the Allocations
Imagine loaves of bread are regularly delivered to a famine-struck
refugee camp. Each time a loaf is brought out, a queue forms and the
loaf is divided equally among those in the queue. If the individuals
who appear in each queue are always different, except for one who
always appears in every queue, would it still be fair to share each
loaf equally among those in each queue?
This example shows that realistic fairness policies must depend on an
individual's history. But if that isn't a convincing argument, it
doesn't have to be. We don't have to show that fairness policies
_must_ depend on history, only that realistic ones _probably will_.
So a fairness mechanism that claims to support commercially realistic
fairness policies must be structured to hold individual history
without destroying scalability. And here, `individual' means some
real-world entity with an economic existence, not a flow.
Router-based flow rate fairness mechanisms tend to have to be myopic.
To be otherwise would seem to require holding the history of most
Internet connected individuals on most routers, because a flow from
nearly any individual in the world might appear at nearly any router.
So instead, router-based schemes tend to share out flow rate at each
instant without regard to individual history--and unfortunately
without regard to commercial reality.
Instead of arbitrating fairness on routers, fairness can be and
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already is arbitrated where state can be held scalably--at the
endpoints where the congestion costs of each individual are already
collected together. One reason for our frustration with the
networking community's focus on flow rate fairness is that the TCP/
IP-based architecture of the Internet already has a structure very
close to that required to arbitrate fairness based on the costs that
individuals cause, rather than on flow rates.
Congested routers generate cost signals (losses or ECN marks) that
are carried to the transport causing the congestion, piggy-backed in
the packet stream either as gaps in the transport stream or as ECN
marks. These congestion signals are already fed back to the sending
transport by nearly all transport protocols. And congestion control
algorithms like TCP already adapt their flow rates in response to
congestion. So all we would need to change would be to use a
weighted TCP algorithm [WindowPropFair] (or equivalent for inelastic
applications) that could weight itself under the control of a process
overarching all the flows of one user, which would take into account
the user's cost history across all flows.
Of course, there is no incentive for anyone to voluntarily subject
themselves to such fairness (nonetheless, they already subject
themselves to TCP which voluntarily halves its rate whenever it
senses congestion). But as we shall see in Section 5.3.1, policing
fairness between individuals (and between networks) at their point of
attachment to the Internet has already been solved, whereas getting
every router to police fairness between every individual connected to
the Internet is a pipe dream, because it would be extremely
complicated for routers to have to know about individuals globally.
5.2. Comparing Costs
So, how come one attachment point can arbitrate fairness between
everyone on the Internet when it only knows about locally attached
individuals? Do we have to add some fully connected mesh of co-
ordination messages between every endpoint in the world? The answer
is no, because, in a very subtle sense, we already have such a mesh.
Fairness at one endpoint is kept in line with all the others by the
commonly aligned discipline of _cost_ throughout the globe. Cost in
any part of the world has an exchange value with cost in any other
part, because, wherever there's an Internet attachment, there's a
connection with the global economy.
Different types of users (heavy users, light users, servers, server
farms, companies) will want to be able to cause different volumes of
congestion. As long as congestion can be equated to cost, it can be
related to the amount each user has paid for their attachment to the
Internet. Even if some localised authority asserts a non-economic
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variant of fairness between some sub-set of users (e.g. in a
university or corporation), the authority as a whole will still align
its understanding of cost with that of the global economy (see
Section 6) on Fairness between Fairnesses.
To be able to compare costs globally, we cannot merely talk of volume
of congestion as a cost to other users without calibrating it--
without specifying how it relates to monetary cost. In a competitive
market, the monetary cost that should be assigned to congestion
volume turns out to be the marginal cost of the capacity needed to
alleviate the congestion [PrCong] (see FAQ [FairFAQ] for details).
The term `marginal' cost is used in economics for the slope of the
curve of cost against capacity. To take a toy example, imagine a
10Gbps interface card costs $1,000 and the cost follows a rough
square root law so that a 20Gbps interface card will cost about
$1,400 (2 times the capacity costs sqrt(2) times as much). Even
though the average cost of the 10Gbps card is $100 per Gbps, the
marginal cost is only $50 per Gbps. (Because: If X is capacity, C is
cost and k is a constant, we have assumed C = k sqrt(X), so marginal
cost = dC/dX = k/2sqrt(X) = C/2X, which is half of the average cost =
C/X). This implies an 11Gbps card (if cards could be upgraded with
such fine granularity) would cost about $1,050.
Note that when we say that the cost of congestion equates to the
marginal cost of capacity, we are not introducing any additional
cost; we are merely categorising cost into sub-divisions. So, an
existing flat fee Internet charge should be considered to consist of
parts to cover:
o operational (non-capacity) costs;
o capacity upgrade costs to alleviate congestion (the $50/Gbps
marginal cost);
o the balance of the average cost of capacity ($100-$50=$50/Gbps).
The distinction between the last two is important, because the cost
of capacity is traditionally shared out in proportion to access link
capacity. But different users with the same access link capacity can
cause _hugely_ different volumes of congestion across time and across
all the Internet links they regularly use, so it is fair to share out
the upgrade cost part in proportion to congestion caused, not access
link capacity.
Once a cost is assigned to congestion that equates to the cost of
alleviating it, users will only cause congestion if they want extra
capacity enough to be willing to pay its cost (e.g. using up
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congestion quota they have paid for). Of course, there will be no
need to be too precise about that rule. Perhaps some people might be
allowed to get more than they pay for and others less. Perhaps some
people will be prepared to pay for what others get, and so on.
But, in a system the size of the Internet, there has to be some
handle to arbitrate how much cost some users cause to others. Flow
rate fairness comes nowhere near being up to the job. It just isn't
realistic to create a system the size of the Internet and define
fairness within the system without reference to fairness outside the
system--in the real world where everyone grudgingly accepts that
fairness usually means "you get what you pay for".
Note that we use the phrase "you get what you pay for" not just "you
pay for what you get". In Kelly's original formulation, users had to
pay for the congestion they caused, which was unlikely to be taken up
commercially. But the reason we are revitalising Kelly's work is
that recent advances (Section 5.3.2) should allow ISPs to keep their
popular flat fee pricing packages along with a service level
agreement that ensures users cannot cause excessive congestion (e.g.
not more congestion cost than their flat fee pays for). Note that
limiting congestion is _not_ congestion pricing, just as a volume cap
is not volume charging.
The engineering details of all these commercially realistic
accountability systems don't have to concern the research or
standards communities in networking. It is sufficient to design
protocols so that congestion costs _can_ be integrated into one
simple counter across different flows and across time for some higher
layer to use, so that senders _can_ be made accountable for the
congestion they cause. Systems and protocols intended for Internet
deployment do not have to _always_ realise the sort of fairness over
time that we find around us in the real world, but they must _be
able_ to.
This subtle connection with the global economy at every Internet
attachment point ensures that there is no need for some system to
decide how far back the history of each individual's costs should
still be taken into account. Once the cost that one entity causes to
others (integrated over time and over all its flows) has been
suffered by that entity itself (e.g. by subtracting from a quota), it
can be forgotten. Just like the costs for all the other benefits
everyone assimilates in their daily lives. And the concept of a
customer account also naturally ensures that a user cannot escape
accountability merely by roaming or mobility.
Finally, note well that this `ISP' and `customer' terminology doesn't
preclude peer-to-peer creations that arbitrate fair use of the
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resources of a self-provided community network [ArchP2pEcon].
5.3. Enforcement of Fairness
5.3.1. Cheating with Whitewashed or Split Flow Identities
In the real world of deployed networks, if it is easy to cheat the
fairness mechanism to get an unfair allocation, it's hardly a useful
fairness mechanism. All known flow rate fairness mechanisms are wide
open to cheating. The network community cannot continue in denial of
this glaring inconsistency if we claim to be designing commercially
realistic protocols.
For instance, if I am the customer of a system giving max-min flow
rate allocations, it is in my interest to split the identities of my
flows into lots of little flows until they are all less than the
minimum allocation. Then the system will dance to my tune and reduce
the allocations of everyone else in order to increase all the
allocations of my little flows. The more I split my traffic down
across more and more identifiers, the larger share of the resource
all my flows taken together will get.
If a history-based fairness mechanism (Section 5.1) believes it
should allocate fewer resources to one flow identifier that it
considers has already been given enough, it is trivially easy for the
source behind that identifier to create a new identifier with a
whitewashed reputation for its traffic.
And it's no good imagining that a router will be able to tell which
flow IDs are actually all from the same entity (either in the
security sense or the economic sense), because routers have to
arbitrate between flows emanating from networks many domains away.
They cannot be expected to know which sets of flow identifiers should
be treated as a single entity. Flows between a pair of IP addresses
may even be attributable to more than one entity, for instance, an IP
address may be shared by many hundreds of accounts on a Web or e-mail
hosting site or behind a NAT. And anyway, even if entities could be
identified separately, not all entities are equal, for instance
compare your granny's PC with a large server.
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Figure 1: Splitting flow identifiers to cheat against flow rate
fairness.
Bottleneck policers [pBox],[XCHOKe],[AFD], suffer from the same
inherent problem. They look for a flow ID at a bottleneck that is
consuming much more bit rate than other flows in order to police use
of TCP. But anyone can cheat by simply running multiple TCP flows.
If the policer looks for cheating pairs of source-destination IP
addresses, without regard to port numbers, a pair of corresponding
nodes can still cheat by creating extra flows from spoofed source
addresses after telling each other out of band where to send
acknowledgements (or just using error correcting coding, not acks).
Alternatively, pairs of corresponding nodes can collude to share
parts of each other's flows. For instance, if the three pairs of
nodes in Figure 1 are trying to communicate, the senders can act as
stepping stones for each other so that their three (n) flows appear
as nine (n^2) across the bottleneck link in the middle. In effect,
they have created a routing overlay, much like BitTorrent file-
sharing software does. If one pair of naive nodes competes for this
bottleneck against n pairs of nodes adopting this strategy, it will
get about n times smaller share than each of the other pairs,
assuming n is large.
These inherent problems with how to define flow granularity were
understood when recommendations on active queue management (AQM) were
made [RFC2309], also quoted in the IETF's best current practice on
congestion control [RFC2914]. The problem was known to be
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particularly acute in the context of the above bottleneck policer
ideas, which were current at the time. But the answer was left open
"We would guess that the source/destination host pair gives the most
appropriate granularity in many circumstances. The granularity of
flows for congestion management is, at least in part, a policy
question that needs to be addressed in the wider IETF community.".
Given identifiers can generally be freely created in cyberspace, it
is well-known that they shouldn't be relied on for resource
allocation (or more generally for negative
reputation) [FrRideP2p],[CheapPseud]. Kelly [wPropFair] chose cost-
based fairness (his term was `pricing per unit share') because it was
immune to this problem--it allocates cost to bits not to flows and
hence doesn't rely on any cyber-identifiers.
In summary, once one accepts that fairness should be based on
concepts from social science, fairness can only be meaningful between
entities with real-world identities--humans, organisations,
institutions, businesses. Otherwise two entities can claim to have
arbitrarily many flows between them, making fairness between flows
completely meaningless.
5.3.2. Enforcing Cost Fairness
If enforcing flow rate fairness is impractical, is enforcing cost
fairness any more achievable? Happily, the Internet's architecture
is already suited to carrying the right cost information for cost
fairness mechanisms to be enforced in a non-cooperative environment.
Kelly's stated motivation for his focus on pricing was so that the
system would be applicable to a non-cooperative environment. In
1999, Gibbens and Kelly went further, pointing out [Evol_cc] that
ECN [RFC3168] provided an ideal basis on which to base cost fairness.
The idea was simply for network operators to ECN mark traffic at
congested routers without regard to flows, then to apply a price to
the volume of traffic carrying ECN marks, which would make the
transport endpoints accountable for the congestion they caused.
However, understandably, the idea of Internet retailers charging
their end-customers directly for congestion met strong resistance.
Customers are known to be highly averse to unpredictable charges for
services ([PMP] S.5) so Kelly's duration charging for each Internet
flow was unlikely to replace flat monthly charging.
Many threw out the baby with the bath water, associating Kelly's
theoretical work solely with its suggested pricing model. But over
the ensuing years, an active research community has sought to keep
the underlying theory but wrapped around with more realistic and
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flexible pricing and service possibilities.
Indeed the recent proposal called re-ECN [Re-TCP] claims to do just
that. We will give an overview or re-ECN below, but first we must
make it absolutely clear that re-ECN shouldn't be equated with cost
fairness. Re-ECN could provide one way to achieve cost fairness but
other mechanisms might also be feasible. Also re-ECN was designed to
be able to enforce flow rate fairness as well as cost fairness.
So here the discussion is confined to whether the economic structure
and functional effect on the network service that re-ECN aspires to
is valid. If it is, the research agenda should be focused on
producing that outcome, even if re-ECN itself isn't the answer.
(Readers tempted to game re-ECN shouldn't rely on the brief
description here; rather they should use the full spec above, which,
as of mid-2007, documents one outstanding vulnerability and defences
against other known attacks.)
Re-ECN aims not to constrain retail pricing, requiring no change to
typical flat rate Internet contracts. But it enables addition of a
policer that can limit the volume of congestion a customer's sent
traffic causes over, say, a moving month. Thus, if endpoint
congestion control doesn't voluntarily act fairly the network ingress
can force it to. It is expected that various styles of policing
(including none) will evolve through market selection. Policing can
be per-user or per flow, but bulk per-user policing is sufficient for
cost fairness.
Although Gibbens & Kelly rightly identified that standard ECN reveals
the necessary information for cost-based fairness, it doesn't reveal
it in the right place for network layer policing--at the _sender's_
network attachment. In the current TCP/IP architecture, congestion
information emerges from the end of a forward data path, which is the
last point in the feedback loop that any network operator can
reliably intercept it--the wrong end for policing the sender.
Re-ECN reveals congestion at the start of a data path while managing
to preserve IP's connectionless datagram model. It makes delivery
conditional on the sender `pre-loading' packet streams with enough
`credit' to remain non-negative despite being decremented by
congestion experienced along the path. It should then be in _both_
the endpoints' interests for the sender to use a pattern of feedback
where the sender re-inserts the feedback from each congestion event
into the next sent packet as a `credit' (re-feedback [Re-fb]). It
should also be in the sender's interest to start every flow slowly
and with some initial `credit' while it establishes the path's
congestion level.
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Like Kelly's original proposal, re-ECN uses ECN routers (and
receivers) unchanged to ensure the cost of congestion is communicated
to each transport causing it, precisely in proportion to their bit
rates, without any per-flow processing in the network. But, unlike
Kelly, sources not receivers are held responsible and the network
cannot raise unsolicited charges without the sender deliberately
marking packets itself.
Re-ECN also aims to ensure cost-fairness between whole networks.
Because the congestion level in every stream of packets decrements
towards zero, at an inter-domain border both neighbouring networks
can count the bulk volume of congestion that the passing packets are
causing downstream of the border. If the downstream neighbour
penalises the upstream neighbour proportionate to this volume of
congestion (complementing fixed capacity charges), the upstream
network should in turn want to ensure its upstream users (or
networks) are accountable for their share of these costs arriving
from their borders.
Each network could choose to share out its downstream costs between
its upstream customers by some other fairness policy than cost
(including absence of policy, which ensures incremental deployment).
So, on the grander scale, re-ECN aims to ensure that networks have to
be fair to each other, and that different fairness policies can co-
exist, which is the subject of the next section.
6. Fairness between Fairnesses
A social anthropologist would be able to give numerous examples of
tribes and societies holding differing opinions on fairness. But, we
must also recognise that societal views of fairness are heavily
influenced by the fairness that a market would produce [SovJstce].
Just as gravity pre-dated Newton, the invisible hand of the
(maturing) market had been allocating resources in society long
before Adam Smith noticed, particularly where the larger picture of
trade between societies was concerned. Equality is sometimes
considered fair for life's essentials, but in life few expect to get
an equal share of every cake for nothing. As a society, we accept
that a reasonably competitive market mechanism does produce a
`realistic' form of fairness; a form of fairness that people
grudgingly accept they have to live with, where the buyer gets no
more than she pays for, at a competitive price that reflects the
effort expended by the seller.
However, monarchs, governments, charities and so on have also been
stamping their own view of fairness on this backdrop, sometimes less
equal sometimes more. But even if different allocation schemes are
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chosen locally, perhaps taking account of social inequality, on a
global scale arbitration between local views on fairness has largely
been through market economics--we are not asking anyone to judge
whether this is good or bad, it just is. The Internet should at
least be able to cope with the world as it is (as well as how it
might be). This doesn't imply we believe that economic forces are
somehow above policy control. Rather, we observe that market forces
(aside from wars) have been the default _global_ resource allocation
mechanism over many centuries. In the Greco-Roman civilisations, in
the Buddhist, Confucian and later in the Islamic world, trade was a
necessary but not central aspect of life. And over the last two
decades, Western civilisations have been going through a phase of
`economics imperialism', where attempting to exert policy control
over economics is even viewed as counter-productive.
However, we must not assume the current globalisation trend [Saul05]
heralds the end of history. The Internet should be able to reflect
the shifting of societal forces as different local fairness regimes
come and go--`design for tussle' [Tussle]. On the whole,
interworking of resource allocation between most parts of the
Internet must _be able_ to be based on market economics, but it
should be possible to apply other fairness criteria locally. For
instance, a University might choose to allocate network resources to
each student equally rather than by how much their parents can
afford. But the network resources one whole University gets relative
to another institution depend on how much each pays their service
provider.
With arbitration of fairness at the network edge, these enclaves
where local fairness prevails can be virtual networks of disparate
users; they need not align with physical network boundaries and users
could roam too, with their service level agreement following them. A
distance-learning University or company with a mobile sales-force
could buy quotas from different networks and redistribute the
aggregate among its members using its own view of fairness. Or whole
countries might arrange to subsidise a minimum universal service
obligation for Internet _usage_, but still, the country as a whole
would be expected to pay its way in the world.
On the other hand, in market-led countries, commercial ISPs might
solely allocate resources proportionate to customer subscriptions.
Local pockets of heterogeneity will exist, from computer clubs to
NATO, but the overall fabric of resource allocation gluing all these
pockets together at the (inter)network layer is likely to be market-
based.
This is what we mean by `realistic'--fitting the commercial reality
of a global market economy. We are fully aware that the power of
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market economics can be stretched too far; controlling aspects of
society where economic assumptions break down (prompting Samuelson to
describe Friedman as "...somebody who had learned how to spell banana
but didn't know where to stop" [Swed90]). But we are not advocating
that one religion should replace another--market economics replacing
flow rate fairness. However, in the case of Internet resource
allocation, it must at least _be possible_ to use market economics,
despite its known failings, given it is currently the most
appropriate tool for managing conflicting demands on resources from
any part of the globe.
A market is meant to optimise allocations in the face of conflicts of
self-interest. If we want to assert other fairness regimes, we must
recognise this acts against self-interest. If we don't understand
how to overcome self-interest, its invisible hand will force its will
on us some other way, distorting our attempts to work against it.
This is why the loopholes in flow rate fairness are being so
thoroughly exploited.
And this is our point. A market _mechanism_ has to be _designed_. A
weak design will be exploited mercilessly. The designs behind flow
rate fairness are worse than weak. They are not even aware that, as
resource allocation mechanisms, they _should_ be able to meet the
stringent requirements of a good market mechanism, such as forgery-
resistant `currency', information symmetry, internalisation of
externalities and so forth.
If we did wish to promote the cause of equality, equalising flow
rates would in no way achieve our ends. In fact, it would only
promote the cause of selfishness and malice, because flows don't
equate to people, so its broken logic can be thoroughly exploited.
Only by providing a bullet-proof mechanism to arbitrate self-
interest, can we then move on to allocate resources locally in other
ways.
7. The Seminal Literature
For a rigorous tutorial on the various form of fairness, the reader
is referred to Le Boudec [ccFairTut].
Max-min flow rate fairness has a long history in networking, with
research to find distributed (router-based) max-min algorithms
starting in 1980 [DeMaxMin] and Nagle proposing a novel approach in
1985 [RFC0970]. All these early `fair queuing' algorithms considered
fairness should be considered among sources and that equality implied
fairness. Indeed, in 1984, Jain et al proposed an index of fairness
[FairIdx] that quantified how far a set of shares were from equality.
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In 1989, to solve the problem of some sources deserving more rate
than others, the authors of `weighted fair queuing' (WFQ) proposed
that per-source destination pair would be a better model of the size
of different sources. It was admitted that a source could deny
service to other sources by faking transfers with numerous
destinations, but a reasonable trade-off between efficiency and
security was required [WFQ]. Recently, an approach called
Justice [Jstce] has proposed a return to (weighted) per source fair
queuing, but with configurable link weights throughout the network.
However, all these `fair queuing' approaches allocate bit rate as
their measure of fairness.
TCP congestion control was also introduced in the late 1980s [TCPcc],
based on the assumption that it would be fair if flow rates through a
single bottleneck converged on equality.
In 1991, Mazumdar _et al_ [UtilFair] pointed out that there was
nothing special about max-min fair rate allocation, and that other
_ad hoc_ definitions of fairness perhaps based on ratios of
individual demands would be no less valid. Instead Mazumdar _et al_
advocated that it would be precise to base a definition of fairness
on game theory, specifically the Nash bargaining solution. This
resulted in proportional fairness, but still using the rate allocated
to flows as the measure of fairness.
In 1997, Kelly considered that Mazumdar's use of co-operative game
theory was unlikely to be relevant to public networks where fairness
would have to be enforced. Instead he introduced _weighted_
proportional fairness [wPropFair], which finally broke the link
between fairness and flow rates. However, the break in tradition
wasn't obvious because the new form of fairness could easily be
expressed in terms of flow rates, essentially using the weight of a
flow as a `fiddle-factor'.
Kelly showed that all a network had to do to achieve fairness in its
economic sense (cost fairness) was to share the cost of congestion
among bits (not flows). Then, as long as the network made users
experience the cost of their bits, users could choose any size flows
they wished. But their choice would be regulated by their own trade
off between how much they valued bit rate and the charge for
congestion.
Kelly's fairness with respect to bit rate per unit charge could also
be (and was) framed in terms of fairness between flows by allowing
the user an arbitrary choice of weight per flow. But Kelly pointed
out that a flow could be divided into sub-flows without changing the
overall rate allocation to all the sub-flows taken together; the user
merely had to imagine that the weight she assigned to one flow could
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be subdivided proportionately into its sub-flows.
Kelly's work built on MacKie-Mason & Varian's seminal paper on the
economics of networks from 1995, "Pricing Congestible Network
Resources" [PrCong]. This work explained the dual role of congestion
costs in controlling demand and regulating supply, in welfare
maximising, competitive and monopoly markets.
In his 1997 paper, Kelly framed cost fairness in terms of weighted
proportional fairness of flow rates in order to relate to an ATM
technology context. With ATM's flow-based user-network interface,
users had to declare the weight they chose for their flows to the
network. But by 1998 Kelly _et al_ applied this work [wPropStab] to
an Internet setting where flows were not part of the user's interface
with the network, so flow weights could become a purely private
device, internal to the user's rate control algorithm. Nonetheless,
the _outcome_ at the flow level was still weighted proportional
fairness, and the underlying fairness that produced this outcome was
still based solely on sharing the cost of congestion among bits.
Back in 1995, Shenker had identified two main types of network
traffic: elastic and inelastic, distinguished respectively by their
concave and sigmoid utility functions [FundUtil]. Whatever the
utility function, Kelly teaches us that covering congestion costs is
sufficient to achieve fairness. But then the outcome (in terms of
flow rates) depends on the type of utility function:
o Weighted proportionally fair flow rates will be the outcome for
elastic traffic streaming;
o Inelastic traffic flows hit a discontinuity once congestion rises
beyond a certain level, at which point no-one derives any useful
value unless some are given zero rate, leading to a need for some
form of admission control, whether self-admission control or
arbitrated by the network [DCAC]. This was the theoretical
backing to the IETF working group recently chartered to
standardise admission control using pre-congestion notification
(PCN) [PCNcharter].
o Key & Massoulie identified a third major class of network traffic
where utility is derived solely from the duration required to
complete transfer of a fixed volume of data [UtilFile]. They
proposed that, if cost fairness applied, self-interested
congestion control would toggle between full line rate and zero
(with occasional probes). Such behaviour alone can destabilise
the network, but it can be stabilised by mixing with streaming
traffic [FairIntgr]. Research on the second order incentives
necessary to encourage stability continues. Policing rather than
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pricing congestion is one way to safeguard everyone's common
interest in stability.
Since these seminal papers in the late 1990s, theoretical refinement
has continued, but the main thrust of research has been to find more
realistic and practical ways of applying the insights, a process
which is now bearing fruit (see Section 5.3.2).
8. Critiques of Specific Schemes
8.1. Max-min flow rate fairness
In 1997, Kelly demonstrated [wPropFair] that realistic users would
not choose max-min flow rate fairness if they were accountable for
the congestion they caused to others. Users would only choose max-
min if they valued bit rate with an unrealistically extreme set of
utility functions that were all identical and that all valued low bit
rate infinitesimally less than high bit rate. To spell Kelly's
result out even more bluntly, max-min fair rate allocation would only
be considered fair if _everyone_ valued bit rate in a really weird
way: that is, they all valued very low bit rate hardly any less than
very high bit rate and they all valued bit rate exactly the same as
each other. (Note that max-min could be meaningful if allocating
something like utility among users, but not rate among flows.)
8.2. TCP
TCP's congestion avoidance [RFC2581] leads to a form of fairness
similar to cost fairness, except it is myopic, only being concerned
with each instant in time and with each flow, as explained in
Section 5. To be cost fair each user would have to take account of
costs across time and across flows, and weight each TCP flow
according to its importance to them, as can be done with
MulTCP [MulTCP].
8.3. TFRC
An algorithm that converges on the same flow rate as TCP at
equilibrium is called TCP-friendly. It can only claim to be TCP-
compatible if it also exhibits the same dynamics as the TCP
specification [RFC2581]. Certain streaming applications won't work
unless they are allowed a more sluggish response to congestion than
TCP's, so researchers invented TCP-friendly rate control
(TFRC [RFC3448]) to define fair use of the network in competition
with TCP-compatible flows.
`TCP-friendly' congestion control currently has proposed standard
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status in the IETF [RFC3448], and it is incorporated into one of the
congestion control profiles of the new datagram congestion control
protocol (DCCP [RFC4342]) that is also a proposed standard. An
experimental small packet variant has also been proposed [RFC4828].
Given TFRC aims to emulate TCP, by far its most significant fairness
problems are those it shares with TCP as just mentioned. However,
even if we set aside this myopia in time and within flows, TFRC
exhibits an extra fairness problem because its design was based
wholly on the broken idea that it is fair for a TCP-friendly flow to
get the same rate as a TCP-compatible flow.
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Figure 2: Schematic showing `TCP-friendly' flows cause more
congestion than TCP. A TCP-friendly flow is smoother than a TCP-
compatible one but with the same mean rate if measured over long
enough time. Therefore at times of high congestion (t_2) it uses more
bandwidth than TCP while at times of low congestion (t_1) it uses
less.
To explain, we need to remember that both congestion and flow rate
vary over time. A more nimble congestion response like TCP's can
mirror changing congestion fairly faithfully. It reduces its rate
quickly during periods of higher congestion and increases again more
quickly whenever congestion falls. In Figure 2 the resulting
schematic plots of congestion and flow rate are shown as mirror
images of each other. A more sluggish rate response is not as good
at tracking the fast-changing congestion process. So the sluggish
flow more often uses higher bandwidth when congestion is high, and
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more often uses lower bandwidth when congestion is low, causing more
volume of congestion on average. Giving more during times of plenty
doesn't compensate for taking it back during times of scarcity.
8.4. RTT and Fairness
TCP, and congestion controls such as SCTP [RFC2960] that inherit from
it, converge on a rate that is inversely proportional to round trip
time (RTT). This is due to TCP's original design goal of avoiding
adding more than one segment to the data in flight each RTT.
Congestion controls certainly have to take RTT delay in the feedback
loop into account to ensure stability. Nonetheless, It is perfectly
possible to design a robust congestion control that responds more
slowly to changes on longer paths, but still converges to the same
rate as it would with a shorter RTT. FAST TCP [FAST] is an example
of such a congestion control. Siris's weighted window-based
congestion controller [WindowPropFair] also has dynamics that are
sensitive to RTT, while converging on a bit-rate that is independent
of RTT.
RTT is not in itself a factor that affects fairness. In fact, once a
sender is accountable for the congestion it causes, it will be in its
own interests to be more cautious on longer RTT paths, as it has
proportionately more data in flight so it risks causing more
congestion before it can react.
Broadly the extra risk of causing congestion with larger RTTs is
usually sufficient to encourage behaviour that leads to stability.
However, this gross generalisation needs to be couched in assumptions
and constraints that are beyond the scope of this memo (and beyond my
ability to keep up with the literature).
8.5. Packet Size and Fairness
The issue of how to take packet size into account is covered in
[BytePktMark]. In summary, it advises that packet size should not be
adjusted for in the network (i.e. not in the AQM algorithm), which
merely drops (marks) every packet with the current drop (marking)
probability. Instead, the transport (rate control algorithm) should
take account of the size of lost or ECN marked packets. Essentially
an ECN marked packet should be treated by the transport as if every
byte is ECN marked, just as every byte is dropped when a packet it
dropped.
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8.6. XCP and router-based fairness schemes
This document has focused on the fairness ideas we see in the
production networks around us today. However, our most pressing
concern is that these broken ideas also pervade the community working
on replacing the Internet architecture. It is well-known that TCP
congestion control is running out of dynamic range and many proposals
for replacements that can take advantage of higher link capacities by
accelerating faster have been put forward. XCP was the first of a
family of router-based hi-speed congestion control mechanism, but it
is particularly of interest because it claims to allow different
fairness criteria to be configured.
However, XCP fairness is based on the myopic flow-rate-based view
that we have so roundly criticised in this document. For instance,
XCP claims to be able to achieve a weighted proportional fair rate
allocation ([XCP] S.6) by adding a weight field to each packet, but
it glosses over how anyone could regulate each user's choice of the
weight. If we compare weighted fair XCP with Kelly's original ATM-
based weighted proportional fairness, the weight parameter advises
network equipment on what allocation it should give each flow, but
there is no direct congestion information in the XCP protocol that
could be used at the ingress to make each source accountable for its
choice of weight.
Further, we believe it will be necessary to be able to apply
different fairness criteria to different subsets of users of a
network and subsets across an internetwork as outlined in Section 6.
We cannot immediately see how this would be feasible with router-
based approaches like XCP, where routers would seem to have to know
what sort of fairness each IP address was keeping to, and each router
would seem to have to share information on the history of each user
with potentially every other router in the world (as explained in
Section 5.1).
A combination of XCP's protocol fields could yield approximate
congestion information to integrate each sender's congestion cost
history at the access network close to the sender. This would allow
the user's choice of weight to be regulated and enable different
forms of fairness to be asserted locally. But one then has to
question whether it would be simpler for the end system to do the
rate control, given it has to give routers all the information they
need to arbitrate fairness between flows anyway.
8.7. WFQ
Weighed fair queuing aims to isolate the capacity that a flow
receives from excessive load applied by other flows, while at the
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same time ensuring the router's capacity is fully utilised. WFQ
allocates capacity per-flow not per-user, so it is vulnerable to the
flow ID splitting games described in Section 5.3.1 and it only
controls fairness over flow lifetimes, not over user history. A
comparison of cost fairness against WFQ (both as originally defined
and as sold commercially) would be interesting given features of the
two approaches overlap even though they don't have the same goals.
But this subject would require a dedicated paper.
9. Implications for the RFC Series
This document points out that the question of cost-fairness between
congestion controls sits above the transport layer as a policy
concern. Applications would then exert policy control over
congestion control in transport protocols (e.g. by setting a
weight). This implies that the IETF should not be (and never has
been) the arbiter of cost-fairness between its protocols, but it
should still be responsible for their stability and perhaps their
efficiency. This contrasts with the current position where the IETF
takes responsibility for the fairness of its congestion control
algorithms, because they are not under policy control. This would
seem to have wide-ranging implications on the current approach to
congestion control standardisation throughout the IETF's RFC series.
RFCs on congestion control fall into the following categories with
respect to who is mandated (or encouraged) to do what:
o Those that specify a congestion control algorithm as a building
block without specifying where it should be used (e.g. TFRC
[RFC3448] and TFRC-SP [RFC4828]);
o Those that specify the implementation of congestion control for a
specific transport which often draw on building block congestion
controls such as TFRC above or TCP (e.g. TCP [RFC2581], SCTP
[RFC2960], the DCCP CCIDs [RFC4341][RFC4342] and the RTP profiles
such as that for RTP/AVP [RFC3551] and RTP/AVPF with earlier
feedback [RFC4585] as well as a number of experimental unicast and
multicast protocols);
o Those that specify that hosts must implement a particular
transport (e.g. the `Requirements for Internet Hosts' [RFC1122]);
o Those that specify what hosts must do if they implement certain
congestion control enhancements (e.g. the `Congestion Manager'
[RFC3124]);
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o Those that specify that applications must implement safe
congestion control behaviour (e.g. HTTP/1.1 [RFC2616] and RTP
[RFC3550]);
o Those that specify the meaning of congestion notifications and how
buffer implementations should generate them (e.g. recommendations
on AQM [RFC2309] and explicit congestion notification [RFC3168]);
o Those that specify best current practice, guidelines and
principles for designers of congestion control (e.g. the `Gateway
Congestion Control Survey' [RFC1254], recommendations on AQM
[RFC2309], `Congestion Control Principles' [RFC2914], `General
Architectural and Policy Considerations' [RFC3426] and IAB
Concerns Regarding Congestion Control for Voice Traffic
[RFC3714]);
o Those that recommend how new transport protocols should interact
with existing ones (e.g. recommendations on AQM [RFC2309],
Criteria for Evaluating Reliable Multicast Transports [RFC2357],
`Congestion Control Principles' [RFC2914] and guidelines for new
RTP profiles [RFC3550]).
Generally, the RFC series standardises congestion control by
specifying what implementations of a particular transport protocol
should or must do in response to congestion events. RFCs generally
avoid mandating what users should do, or what networks should allow,
which are considered policy concerns. For instance, a TCP
implementation must comply with the congestion control in RFC2581 to
be able to claim it is standard TCP, but the RFCs haven't told
applications that they must use TCP and they certainly haven't told
users that they must only use applications that use TCP (or a TCP-
fair alternative).
Therefore, a move to an emphasis on policy control over congestion
control will not require changes to the RFCs that specify the
implementation of non-policy-based congestion control for specific
transports, or congestion control building blocks. These will stand
as implementations that can be used by applications that do not
desire policy control. Similarly, mandating that a particular
transport must be implemented on all hosts, only mandates that it
must be available, not that applications must use it.
The RFCs that specify that applications (HTTP/1.1 and RTP) must
implement safe congestion control behaviour are sufficiently broadly
stated that they are still meaningful after a shift of the congestion
control goal-posts.
The RFCs that define congestion notification (RED [RFC2309] and ECN
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[RFC3168]) are critical standards for cost-fairness and they are
already in line with what is required (except for the uncertainty in
RFC2309 over byte-mode packet marking, is addressed in
[BytePktMark]).
The RFCs that specify best current practice, guidelines and
principles generally give excellent advice on congestion control.
However, we will have to deal with the RFCs that recommended that
applications should use congestion control that results in a flow
rate similar to that TCP would achieve under the same conditions,
specifically [RFC2309][RFC2357] and [RFC2914]. For instance RFC2357
says, "Note that congestion control mechanisms that operate on the
network more aggressively than TCP will face a great burden of proof
that they don't threaten network stability."
These RFCs were written in good faith based on the idea that the IETF
is responsible for fairness between flow rates, but this memo has now
shown that there is nothing at all special about flow rates that
happen to be equal (when the number of flows from one user and flow
durations are considered). We can safely assume that the IETF
certainly does not believe it should have any control over the
duration of flows, or whether a user should open different flows
across different parts of the Internet at different times.
Therefore we will have to update this guidance on fairness to take
account of the desires of users and of networks for a fairer outcome
than we have at present. This guidance will also have to address the
concerns of the users of transports that implement currently
standardised variants of flow-rate fairness.
Some of these `legacy' flows would use more resources and others less
if they were under policy control:
o A future network that protects careful users from aggressive users
might well curtail some legacy flows sent by over-aggressive users
(e.g. they might be using application that open many TCP
connections that transfer for very long durations).
o Those legacy flows that use less than they would under policy
control seem to be of concern, because they will receive a smaller
share of capacity than they would if other flows were not policy-
controlled. However, they can upgrade to use policy control if
they choose, and they have an incentive to do so. The network
will appear more congested than it used to for these flows, but
they should still _function_ OK, given they were designed to work
over a best efforts service.
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Nonetheless, we need to discuss this issue further and reach
community agreement on how best to handle the transition towards the
different goal of the more rigorous form of fairness introduced in
this memo, and the transition away from IETF control and towards user
policy control of fairness.
10. IANA Considerations
This document includes no request to IANA.
11. Security Considerations
The whole of Section 5.3 discusses how there are no known ways of
enforcing flow rate fairness securely in a non-cooperative
environment like the current Internet, whereas practical, secure
solutions have been proposed for enforcing cost-fairness.
12. Conclusions
The outstanding barrier to realistic resource allocation for the
Internet is purely religious. In much of the networking community
you have to put fairness in terms of flow rates, otherwise your work
is `obviously' irrelevant. At minimum, you are an outcast, if not a
heretic. But actually basing fairness on flow rates is a false
god--it has no grounding in philosophy, science, or for that matter
`commercial reality'.
It is a classic case of a hegemony where those living within the box
have been unaware of the existence of the box, let alone the world
outside the box. This memo was written from frustration that no-one
inside the box believed that voices outside the box should be
listened to. We expect complaints about the blunt style of this
document, but it seemed the only way forward was to force the issue,
by making the box look ridiculous in its own terms.
Cost fairness was derived from economic concepts of fairness back in
1997. Flow rate fairness had been used in good faith as a guiding
principle, but when it is seen through the wider angle of this
economic analysis it is clearly broken, even on its own terms. The
criticism is far more damning than merely whether allocations are
fair. Both the thing being allocated (rate) and what it is allocated
among (flows) now appear completely daft--both unrealistic and
impractical. However, most of the Internet community continued to
judge fairness using flow rates, apparently unaware that this
approach had been shown to have no intellectual basis. In fact, flow
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rate fairness algorithms are myopic in both space and time--they are
completely unable to control fairness at all, because they don't
adjust depending on how many flows users create nor on how long flows
last.
To be clear, this accusation applies to the so-called `fairness' that
emerges from the TCP algorithm and the various fair queuing
algorithms used in production networks. And, more worryingly, this
broken idea of flow rate fairness has carried over into the community
working on replacing the Internet architecture.
In real life, fairness generally concerns costs or benefits. Flow
rate doesn't come anywhere near being a good model of either. User
benefit per bit rate might be ten orders of magnitude different for
different types of flow. And cost depends on the product of bit rate
with congestion, which is very variable and nothing like bit rate
alone.
Worse, there is no evidence whatsoever that fairness between flows
relates in any way to fairness between any real-world entities that
one would expect to treat fairly, such as people or organisations.
If fairness is defined between flows, users can just create more
flows to get a larger allocation. Worse still, fairness between
flows is only defined instantaneously, which bears no relation to
real-world fairness over time. Once the idea of fairness based on
integrating costs over time is understood, we cannot see any reason
to take any form of instantaneous per-flow rate fairness seriously,
ever again--whether max-min or TCP.
Even if a system is being designed somehow isolated from the economy,
where costs will never have to relate to real economic costs, we
cannot see why anyone would adopt these forms of fairness that so
badly relate to real-life fairness. For instance, how can people
still be designing schemes to achieve max-min flow rate fairness
years after Kelly's proof that users would have to value bit rate in
a really weird way in order for max-min fairness to be desirable?
In contrast, cost fairness promises realistic solutions to all these
issues. Further, it seems more tractable to enforce, unlike flow
rate fairness, which seems inherently broken in this respect. We
believe cost fairness is a coherent way forward with all the
technical barriers overcome, or close to being overcome. This is
where the research & standards agenda should be focused.
If anyone with aspirations to scientific credentials still wants to
cling to flow rate fairness, they must justify their preposterous
position with reference to some previously respected fairness notions
in philosophy or social science. In this memo, we have shown how the
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whole ideology is unlikely to be up to such rigor.
13. Acknowledgements
Thanks are due to Scott Shenker for persuading me to write this,
Louise Burness for insight into why people think the way they do, Ben
Strulo for giving a better way of expressing it and Marc Wennink and
Damon Wischik for challenging the ideas. Also thanks to Arnaud
Jacquet, Jon Crowcroft, Frank Kelly, Peter Key and Toby Moncaster for
their useful reviews. Thanks to Michael Welzl and Wes Eddy for their
excellent survey of Congestion Control in the RFC Series
[I-D.irtf-iccrg-cc-rfcs], on which Section 9 is based. And thanks to
the many people on the tsvwg mailing list who have raised questions
or challenged assertions, in the process identifying where clarifying
amendments were needed. However, the author alone shoulders the
blame for any offence caused by the bluntness of style.
14. Comments Solicited
Comments and questions are encouraged and very welcome. They can be
addressed to the IETF Transport Area mailing list
<tsv-area@ietf.org>, and/or to the authors.
15. References
15.1. Normative References
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119, March 1997.
[RFC2309] Braden, B., Clark, D., Crowcroft, J., Davie, B., Deering,
S., Estrin, D., Floyd, S., Jacobson, V., Minshall, G.,
Partridge, C., Peterson, L., Ramakrishnan, K., Shenker,
S., Wroclawski, J., and L. Zhang, "Recommendations on
Queue Management and Congestion Avoidance in the
Internet", RFC 2309, April 1998.
[RFC2357] Mankin, A., Romanov, A., Bradner, S., and V. Paxson, "IETF
Criteria for Evaluating Reliable Multicast Transport and
Application Protocols", RFC 2357, June 1998.
[RFC2914] Floyd, S., "Congestion Control Principles", BCP 41,
RFC 2914, September 2000.
[RFC3168] Ramakrishnan, K., Floyd, S., and D. Black, "The Addition
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of Explicit Congestion Notification (ECN) to IP",
RFC 3168, September 2001.
15.2. Informative References
[AFD] Pan, R., Breslau, L., Prabhaker, B., and S. Shenker,
"Approximate Fairness Through Differential Dropping",
CCR 33(2)23--40, April 2003.
[ArchP2pEcon]
Strulo, B., Smith, A., and J. Farr, "An Architecture for
Peer-to-Peer Economies", Proc. 3rd Int'l Conf. On Peer-to-
Peer Computing (P2P 2003) pp208--209, 2003, <http://
csdl.computer.org/comp/proceedings/p2p/2003/2023/00/
20230208.pdf>.
[BufSizUp]
Ganjali, Y. and N. McKeown, "Update on Buffer Sizing in
Internet Routers", ACM SIGCOMM CCR 36, October 2006,
<http://www.sigcomm.org/ccr/drupal/?q=node/72>.
[BytePktMark]
Briscoe, B., "Byte and Packet Congestion Notification",
draft-briscoe-tsvwg-byte-pkt-mark-00 (work in progress),
June 2007.
[CheapPseud]
Friedman, E. and P. Resnick, "The Social Cost of Cheap
Pseudonyms", Journal of Economics and Management
Strategy 10(2)173--199, 1998.
[DCAC] Gibbens, R. and F. Kelly, "Distributed connection
acceptance control for a connectionless network", Proc.
International Teletraffic Congress (ITC16) pp941--952,
1999, <http://www.statslab.cam.ac.uk/~frank/dcac.html>.
[DeMaxMin]
Jaffe, J., "A Decentralized, "Optimal", Multiple-User,
Flow Control Algorithm", Proc. Fifth Int'l. Conf. On
Computer Communications pp839--844, October 1980.
[ECNFixedWireless]
Siris, V., "Resource Control for Elastic Traffic in CDMA
Networks", Proc. ACM MOBICOM'02 , September 2002, <http://
www.ics.forth.gr/netlab/publications/
resource_control_elastic_cdma.html>.
[Evol_cc] Gibbens, R. and F. Kelly, "Resource pricing and the
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evolution of congestion control", Automatica 35(12)1969--
1985, December 1999,
<http://www.statslab.cam.ac.uk/~frank/evol.html>.
[FAST] Jin, C., Wei, D., and S. Low, "FAST TCP: Motivation,
Architecture, Algorithms, and Performance", Proc. IEEE
Conference on Computer Communications (Infocom'04) ,
March 2004,
<http://www.ieee-infocom.org/2004/Papers/52_2.PDF>.
[FairFAQ] Briscoe, B., "Cost Fairness FAQ", Web page , July 2007, <h
ttp://www.cs.ucl.ac.uk/staff/B.Briscoe/projects/2020comms/
fairfaq.html>.
[FairIdx] Jain, R., Chiu, D., and W. Hawe, "A Quantitative Measure
Of Fairness And Discrimination For Resource Allocation In
Shared Computer Systems", DEC Research Report TR-301,
September 1984,
<http://www.cs.wustl.edu/~jain/papers/fairness.htm>.
[FairIntgr]
Key, P., Massoulie, L., Bain, A., and F. Kelly, "Fair
Internet traffic integration: network flow models and
analysis", Annales des Telecommunications 59 pp1338--1352,
2004, <http://citeseer.ist.psu.edu/641158.html>.
[FrRideP2p]
Feldman, M., Papadimitriou, C., Chuang, J., and I. Stoica,
"FreeRiding and Whitewashing in Peer-to-Peer Systems",
Proc. Workshop on Practice and Theory of Incentives in
Networked Systems (PINS'04) pp228--236, 2004,
<http://doi.acm.org/10.1145/1016527.1016539>.
[FundUtil]
Shenker, S., "Fundamental Design Issues for the Future
Internet", IEEE Journal on Selected Areas in
Communications 13(7)1176--1188, 1995,
<http://citeseer.ist.psu.edu/shenker95fundamental.html>.
[I-D.irtf-iccrg-cc-rfcs]
Welzl, M. and W. Eddy, "Congestion Control in the RFC
Series", draft-irtf-iccrg-cc-rfcs-00 (work in progress),
October 2006.
[Jstce] Eriksson, J., Faloutsos, M., and S. Krishnamurthy,
"Justice: Flexible and Enforceable Per-Source Bandwidth
Allocation", Proc. Networking pp1206--1218, 2005,
<http://www.cs.ucr.edu/~krish/jakob_networking05.pdf>.
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[MulTCP] Crowcroft, J. and Ph. Oechslin, "Differentiated End to End
Internet Services using a Weighted Proportional Fair
Sharing TCP", CCR 28(3) 53--69, July 1998, <http://
www.cs.ucl.ac.uk/staff/J.Crowcroft/hipparch/pricing.html>.
[NewArchReq]
Braden, R., Clark, D., Shenker, S., and J. Wroclawski,
"Developing a Next-Generation Internet Architecture",
DARPA white paper , July 2000,
<http://www.isi.edu/newarch/DOCUMENTS/WhitePaper.pdf>.
[PCNcharter]
IETF, "Congestion and Pre-Congestion Notification (pcn)",
IETF w-g charter , Feb 2007,
<http://www.ietf.org/html.charters/pcn-charter.html>.
[PMP] Odlyzko, A., "A modest proposal for preventing Internet
congestion", AT&T technical report TR 97.35.1,
September 1997,
<http://www.dtc.umn.edu/~odlyzko/doc/modest.proposal.pdf>.
[PrCong] MacKie-Mason, J. and H. Varian, "Pricing Congestible
Network Resources", IEEE Journal on Selected Areas in
Communications, `Advances in the Fundamentals of
Networking' 13(7)1141--1149, 1995, <http://
www.sims.berkeley.edu/~hal/Papers/
pricing-congestible.pdf>.
[RFC0970] Nagle, J., "On packet switches with infinite storage",
RFC 970, December 1985.
[RFC1122] Braden, R., "Requirements for Internet Hosts -
Communication Layers", STD 3, RFC 1122, October 1989.
[RFC1254] Mankin, A. and K. Ramakrishnan, "Gateway Congestion
Control Survey", RFC 1254, August 1991.
[RFC2475] Blake, S., Black, D., Carlson, M., Davies, E., Wang, Z.,
and W. Weiss, "An Architecture for Differentiated
Services", RFC 2475, December 1998.
[RFC2581] Allman, M., Paxson, V., and W. Stevens, "TCP Congestion
Control", RFC 2581, April 1999.
[RFC2616] Fielding, R., Gettys, J., Mogul, J., Frystyk, H.,
Masinter, L., Leach, P., and T. Berners-Lee, "Hypertext
Transfer Protocol -- HTTP/1.1", RFC 2616, June 1999.
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[RFC2960] Stewart, R., Xie, Q., Morneault, K., Sharp, C.,
Schwarzbauer, H., Taylor, T., Rytina, I., Kalla, M.,
Zhang, L., and V. Paxson, "Stream Control Transmission
Protocol", RFC 2960, October 2000.
[RFC3124] Balakrishnan, H. and S. Seshan, "The Congestion Manager",
RFC 3124, June 2001.
[RFC3426] Floyd, S., "General Architectural and Policy
Considerations", RFC 3426, November 2002.
[RFC3448] Handley, M., Floyd, S., Padhye, J., and J. Widmer, "TCP
Friendly Rate Control (TFRC): Protocol Specification",
RFC 3448, January 2003.
[RFC3550] Schulzrinne, H., Casner, S., Frederick, R., and V.
Jacobson, "RTP: A Transport Protocol for Real-Time
Applications", STD 64, RFC 3550, July 2003.
[RFC3551] Schulzrinne, H. and S. Casner, "RTP Profile for Audio and
Video Conferences with Minimal Control", STD 65, RFC 3551,
July 2003.
[RFC3714] Floyd, S. and J. Kempf, "IAB Concerns Regarding Congestion
Control for Voice Traffic in the Internet", RFC 3714,
March 2004.
[RFC4341] Floyd, S. and E. Kohler, "Profile for Datagram Congestion
Control Protocol (DCCP) Congestion Control ID 2: TCP-like
Congestion Control", RFC 4341, March 2006.
[RFC4342] Floyd, S., Kohler, E., and J. Padhye, "Profile for
Datagram Congestion Control Protocol (DCCP) Congestion
Control ID 3: TCP-Friendly Rate Control (TFRC)", RFC 4342,
March 2006.
[RFC4585] Ott, J., Wenger, S., Sato, N., Burmeister, C., and J. Rey,
"Extended RTP Profile for Real-time Transport Control
Protocol (RTCP)-Based Feedback (RTP/AVPF)", RFC 4585,
July 2006.
[RFC4828] Floyd, S. and E. Kohler, "TCP Friendly Rate Control
(TFRC): The Small-Packet (SP) Variant", RFC 4828,
April 2007.
[Re-TCP] Briscoe, B., Jacquet, A., Salvatori, A., Koyabi, M., and
T. Moncaster, "Re-ECN: Adding Accountability for Causing
Congestion to TCP/IP", draft-briscoe-tsvwg-re-ecn-tcp-04
Briscoe Expires January 7, 2008 [Page 40]
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(work in progress), July 2007.
[Re-fb] Briscoe, B., Jacquet, A., Di Cairano-Gilfedder, C.,
Salvatori, A., Soppera, A., and M. Koyabe, "Policing
Congestion Response in an Internetwork Using Re-Feedback",
ACM SIGCOMM CCR 35(4)277--288, August 2005, <http://
www.acm.org/sigs/sigcomm/sigcomm2005/
techprog.html#session8>.
[Saul05] Saul, J., "The Collapse of Globalism and the Reinvention
of the World", Pub: Viking, Canada ISBN: 0-670-06367-3,
2005.
[SelfMan] Kelly, F., "Models for a Self-Managed Internet",
Philosophical Transactions of the Royal
Society 358(1773)2335--2348, August 2000,
<http://www.statslab.cam.ac.uk/~frank/smi.html>.
[SovJstce]
Siderenko, S., "Characteristics of Perceptions of Social
Justice in the Contemporary USSR", Chapter in:
Transitional Agendas: Working Papers from the Summer
School for Soviet Sociologists, pub: Centre for Social
Anthropology and Computing, University of Kent Ch3
pp41--45, 1991,
<http://lucy.ukc.ac.uk/csacpub/russian/siderenko.html>.
[Swed90] Swedberg, R., "Economics and Sociology. Redefining their
Boundaries: Conversations with Economists and
Sociologists", Pub: Princeton University Press , 1990.
[TCPcc] Jacobson, V. and M. Karels, "Congestion Avoidance and
Control", Proc. ACM SIGCOMM'88 Symposium, Computer
Communication Review 18(4)314--329, Proc. ACM SIGCOMM'88
Symposium, Computer Communication Review 18(4)314--329,
August 1988, <http://ee.lbl.gov/papers/congavoid.pdf>.
[Tussle] Clark, D., Sollins, K., Wroclawski, J., and R. Braden,
"Tussle in Cyberspace: Defining Tomorrow's Internet", ACM
SIGCOMM CCR 32(4)347--356, October 2002,
<http://www.acm.org/sigcomm/sigcomm2002/papers/
tussle.pdf>.
[UtilFair]
Mazumdar, R., Mason, L., and C. Douligeris, "Fairness in
Network Optimal Flow Control: Optimality of Product
Forms", IEEE Transactions on Communications 39(5)775--782,
May 1991, <http://dionysos.cs.unipi.gr/~cdoulig/
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Fairness%20in%20network%20optimal%20flow%20control%
20optimality%20of%20product%20forms.pdf>.
[UtilFile]
Key, P. and L. Massoulie, "User policies in a network
implementing congestion pricing", Proc. Workshop on
Internet Service Quality and Economics , December 1999, <h
ttp://research.microsoft.com/research/network/
publications/ISQElm.ps>.
[WFQ] Demers, A., Keshav, S., and S. Shenker, "Analysis and
Simulation of a Fair-Queueing Algorithm", ACM SIGCOMM
CCR 19(4)1--12, September 1989,
<http://portal.acm.org/citation.cfm?id=75248>.
[WindowPropFair]
Siris, V., "Service Differentiation and Performance of
Weighted Window-Based Congestion Control and Packet
Marking Algorithms in ECN Networks", Computer
Communications 26(4) 314--326, 2002, <http://
www.ics.forth.gr/netgroup/publications/
weighted_window_control.html>.
[XCHOKe] Chhabra, P., Chuig, S., Goel, A., John, A., Kumar, A.,
Saran, H., and R. Shorey, "XCHOKe: Malicious Source
Control for Congestion Avoidance at Internet Gateways",
Proceedings of IEEE International Conference on Network
Protocols (ICNP-02) , November 2002,
<http://www.cc.gatech.edu/~akumar/xchoke.pdf>.
[XCP] Katabi, D., Handley, M., and C. Rohrs, "Congestion Control
for High Bandwidth-Delay Product Networks", ACM SIGCOMM
CCR 32(4)89--102, October 2002,
<http://www.ana.lcs.mit.edu/dina/XCP/>.
[ccFairTut]
Le Boudec, J-Y., "Rate Adaptation, Congestion Control and
Fairness: A Tutorial", Web page , November 2005,
<http://ica1www.epfl.ch/PS_files/LEB3132.pdf>.
[pBox] Floyd, S. and K. Fall, "Promoting the Use of End-to-End
Congestion Control in the Internet", IEEE/ACM Transactions
on Networking 7(4) 458--472, August 1999,
<http://www.aciri.org/floyd/end2end-paper.html>.
[wPropFair]
Kelly, F., "Charging and Rate Control for Elastic
Traffic", European Transactions on Telecommunications 8
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pp33--37, 1997,
<http://www.statslab.cam.ac.uk/~frank/elastic.html>.
[wPropStab]
Kelly, F., Maulloo, A., and D. Tan, "Rate control for
communication networks: shadow prices, proportional
fairness and stability", Journal of the Operational
Research Society 49(3) 237--252, 1998,
<http://www.statslab.cam.ac.uk/~frank/rate.html>.
Author's Address
Bob Briscoe
BT & UCL
B54/77, Adastral Park
Martlesham Heath
Ipswich IP5 3RE
UK
Phone: +44 1473 645196
Email: bob.briscoe@bt.com
URI: http://www.cs.ucl.ac.uk/staff/B.Briscoe/
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