Mobile Ad hoc Networking (MANET)                             C. Dearlove
Internet-Draft                           BAE Systems Advanced Technology
Intended status: Informational                                    Centre
Expires: December 17, 2010                                    T. Clausen
                                        LIX, Ecole Polytechnique, France
                                                              P. Jacquet
                                                           INRIA, France
                                                           June 15, 2010


                        Link Metrics for OLSRv2
                    draft-dearlove-olsrv2-metrics-05

Abstract

   This document describes how link metrics may be added, in a
   relatively straightforward manner, to the specification of OLSRv2, in
   order to allow routing by other than minimum hop count routes.  In
   addition to metric signaling and use, the most significant change is
   a separation of the routing and flooding functions of MPRs.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
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   This Internet-Draft will expire on December 17, 2010.

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   carefully, as they describe your rights and restrictions with respect



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   to this document.  Code Components extracted from this document must
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   This document may contain material from IETF Documents or IETF
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Table of Contents

   1.  Introduction . . . . . . . . . . . . . . . . . . . . . . . . .  4
   2.  Applicability  . . . . . . . . . . . . . . . . . . . . . . . .  6
   3.  Motivational Scenarios . . . . . . . . . . . . . . . . . . . .  7
   4.  Link Metrics . . . . . . . . . . . . . . . . . . . . . . . . .  9
     4.1.  Link Metric Types  . . . . . . . . . . . . . . . . . . . .  9
     4.2.  Directional Link Metrics . . . . . . . . . . . . . . . . . 11
     4.3.  Reporting Link and Router Metrics  . . . . . . . . . . . . 12
     4.4.  Defining Incoming Link Metrics . . . . . . . . . . . . . . 14
     4.5.  Link Metric TLVs . . . . . . . . . . . . . . . . . . . . . 14
     4.6.  Link Metric Values . . . . . . . . . . . . . . . . . . . . 15
   5.  MPRs with Link Metrics . . . . . . . . . . . . . . . . . . . . 17
     5.1.  Flooding MPRs  . . . . . . . . . . . . . . . . . . . . . . 17
     5.2.  Routing MPRs . . . . . . . . . . . . . . . . . . . . . . . 19
     5.3.  Relationship Between MPR Sets  . . . . . . . . . . . . . . 22
   6.  Implementation . . . . . . . . . . . . . . . . . . . . . . . . 24
     6.1.  Parameters and Constants . . . . . . . . . . . . . . . . . 25
     6.2.  Local Information Base . . . . . . . . . . . . . . . . . . 25
     6.3.  Interface Information Base . . . . . . . . . . . . . . . . 26
     6.4.  Neighbor Information Base  . . . . . . . . . . . . . . . . 27
     6.5.  Topology Information Base  . . . . . . . . . . . . . . . . 27
     6.6.  Metric Representation  . . . . . . . . . . . . . . . . . . 28
     6.7.  MPR Representation . . . . . . . . . . . . . . . . . . . . 30
     6.8.  HELLO Message Generation . . . . . . . . . . . . . . . . . 31
     6.9.  HELLO Message Processing . . . . . . . . . . . . . . . . . 31
     6.10. MPR Calculation and Neighbor Set Update  . . . . . . . . . 32
     6.11. TC Message Generation  . . . . . . . . . . . . . . . . . . 33
     6.12. TC Message Processing  . . . . . . . . . . . . . . . . . . 33
     6.13. Routing Set Calculation  . . . . . . . . . . . . . . . . . 33
   7.  IANA Considerations  . . . . . . . . . . . . . . . . . . . . . 35
   8.  Security Considerations  . . . . . . . . . . . . . . . . . . . 36
   9.  References . . . . . . . . . . . . . . . . . . . . . . . . . . 37
     9.1.  Normative References . . . . . . . . . . . . . . . . . . . 37
     9.2.  Informative References . . . . . . . . . . . . . . . . . . 37
   Appendix A.  MPR Routing Property  . . . . . . . . . . . . . . . . 38
   Appendix B.  Routing MPR Calculation . . . . . . . . . . . . . . . 40
   Appendix C.  Example Algorithm for Calculating the Routing Set . . 43
     C.1.  Local Interfaces and Neighbors . . . . . . . . . . . . . . 43
     C.2.  Add Neighbor Routers . . . . . . . . . . . . . . . . . . . 44
     C.3.  Add Remote Routers . . . . . . . . . . . . . . . . . . . . 44
     C.4.  Add Neighbor Addresses . . . . . . . . . . . . . . . . . . 45
     C.5.  Add Remote Routable Addresses  . . . . . . . . . . . . . . 46
     C.6.  Add Attached Networks  . . . . . . . . . . . . . . . . . . 46
     C.7.  Add 2-Hop Neighbors  . . . . . . . . . . . . . . . . . . . 47
   Appendix D.  Constraints . . . . . . . . . . . . . . . . . . . . . 49
   Appendix E.  Acknowledgements  . . . . . . . . . . . . . . . . . . 51




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1.  Introduction

   The Optimized Link State Routing Protocol [OLSRv2] is a proactive
   routing protocol for Mobile Ad hoc NETworks (MANETs) [RFC2501].  In
   its current form, this protocol finds shortest, defined as minimum
   number of hops, routes from a router to all possible destinations.

   However limiting to minimum hop routes may yield what are, to the
   user, inferior routes.  Some examples are given in Section 3.  This
   limitation is not, however, fundamental to OLSRv2.  First, the
   extensible message format [RFC5444] used by OLSRv2 naturally permits
   the addition of additional information regarding links to OLSRv2
   messages.  Second, OLSRv2 essentially first collects topological
   information from the network and then forms minimum length routes.
   Using a definition of route length (metric) other than number of hops
   is a natural extension that is commonly used in link state protocols.

   Addition of alternative route selection processes to OLSRv2 could be
   treated as a possible future extension.  However in this case, legacy
   OLSRv2 routers, which would not recognize any additional link
   information, would still attempt to use minimum hop-count routes.
   This would mean that, in effect, routers differed over their
   valuation of links and routes.  This can lead to the fundamental
   routing problem of "looping", and must be avoided.  Thus if
   alternative route selection were to be considered only as a future
   extension, then routers which did, and routers which did not,
   implement the extension could not interoperate.  This would be a
   significant limitation of such an extension.

   This document discusses a possible improvement to OLSRv2 which could
   be fairly straightforwardly incorporated in a revision of [OLSRv2].
   The principal suggested changes to OLSRv2 are:

   o  Assigning metrics to links.  This involves considering separate
      metrics for the two directions of a link, with the receiving
      router determining the metric from transmitter to receiver.
      Directional metrics must be signaled in HELLO messages, and are
      also included in TC messages.  Metrics may also be:

      *  A link metric, the metric of a specific link from an OLSRv2
         interface of the transmitting router to an OLSRv2 interface of
         the receiving router.

      *  A router metric, the minimum of the link metrics between those
         routers, in the indicated direction.

      These metrics are necessarily the same when these routers each
      have a single OLSRv2 interface, but may differ when either has



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      more.  HELLO messages will include both link metrics and router
      metrics.  A means of inclusion that avoids unnecessary repetition
      (and hence minimizes message bandwidth use) will be employed.  TC
      messages will include router metrics only.

   o  Metrics to be used in OLSRv2 are dimensionless and additive.  The
      assignment of metrics, including their relationship to real
      parameters such as bandwidth, loss rate and delay, is outside the
      scope of OLSRv2, which simply would use these metrics in a
      consistent manner.  However by use of a registry of metric types
      (employing extended types of a single address block TLV type),
      routers can use only metrics of the physical type that they are
      configured to use.

   o  The separation of the two functions performed by MPRs in OLSRv2,
      optimized flooding and reduced topology advertisement for routing,
      into separate sets of MPRs, denoted "flooding MPRs" and "routing
      MPRs".  Flooding MPRs can be calculated as MPRs currently are, but
      can improve the selection using metrics, while routing MPRs need a
      metric-aware selection algorithm.  Examples of each MPR selection
      algorithm are given in this document.  The selection of routing
      MPRs guarantees the use of minimum distance routes using the
      chosen metric, while still using only two hop neighborhood
      information from HELLO messages and routing MPR selector
      information in TC messages.

   o  Appropriate changes to protocol Information Bases, messages (new
      link metric and modified MPR TLVs) and message processing.  These
      are described in this document.






















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2.  Applicability

   The objective of this document is to serve as a proposal for a
   revision of [OLSRv2].  None of the changes proposed in this document
   affect any of the other constituent parts of OLSRv2, in particular
   they do not affect [NHDP], since as some uses of that protocol will
   not need metrics, they should not have metrics imposed on them.

   The addition of metrics in this way to OLSRv2 would form a mandatory
   part of the specification.  An implementation that is to interwork
   with all other implementations of OLSRv2, subject to any
   administrative configuration of choice of metric type, MUST fully
   implement this use of link metrics.






































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3.  Motivational Scenarios

   The basic situation that suggests the desirability of use of routes
   other than minimum hop routes is shown in Figure 1.

                             A ----- X ----- B
                              \             /
                               \           /
                                Y ------- Z

                                 Figure 1

   The minimum hop route from A to B is via X. However if the links A to
   X and X to B are poor (e.g., having low bandwidth or being
   unreliable) but the links A to Y, Y to Z and Z to B are better (e.g.,
   having reliable high bandwidth) then the route A to B via Y and Z may
   be preferred.

   There are other situations where, even if links do not show
   immediately obvious benefits to users, their use should be
   discouraged.  Consider a network with many short range links, and a
   few long range links.  Use of minimum hop routes will immediately
   lead to heavy use of the long range links.  This will be particularly
   undesirable if those links achieve their longer range through reduced
   bandwidth, or through being less reliable.  However, even if the long
   range links have the same characteristics as the short range links,
   it may be better to reserve usage of the long range links for when
   this usage is particularly valuable - for example when the use of one
   long range link saves several short range links, rather than the
   single link that is all that is needed to be saved for a minimum hop
   route.

   A related case is that of a privileged relay.  An example is an
   aerial router in an otherwise ground based network.  The aerial
   router may have a link to many, or even all, other routers.  That
   would lead to all routers attempting to send all their traffic (other
   than to immediate neighbors and some two hop neighbors) via the
   aerial router.  It may however be important to reserve that capacity
   for cases where the aerial router is actually essential, such as if
   the ground based portion of the network is disconnected.

   Other cases may involve attempts to avoid areas of congestion, to
   route around insecure routers (by preference, but prepared to use
   them if there is no other alternative) and routers attempting to
   discourage their use as relays due to, for example, limited battery
   power.  OLSRv2 does have another mechanism to aid in this, a router's
   willingness to act as an MPR.  However there are cases where that
   cannot help, but where use of non-minimum hop routes could.



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   Similarly note that OLSRv2's optional use of link quality (through
   its use of [NHDP]) is not a solution to these problems.  Use of link
   quality as specified in [NHDP] allows a router to decline to use a
   link, not only on its own, but on all routers' behalf.  It does not,
   for example, allow the use of a link otherwise determined to be too
   low quality to be generally useful, as part of a route where no
   better links exist.  Note that these mechanisms (link quality and
   link metrics) solve different problems, and it is not suggested that
   use of link metrics will replace the use of link quality.

   It should also be noted that the loop-free property of OLSRv2, and of
   this modification, apply strictly only in the static state.  When the
   network topology is changing, and with possibly lossy messages, it is
   possible for transient loops to form.  However with update rates
   appropriate to the rate of topology change, such loops will be
   sufficiently rare.  Changing link metrics is a form of network
   topology change, and should be limited to a rate slower than the
   message information update rate (defined by the parameters
   HELLO_INTERVAL, HELLO_MIN_INTERVAL, TC_INTERVAL and TC_MIN_INTERVAL).
































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4.  Link Metrics

   Using the approach suggested here, link metrics will be:

   o  As used by OLSRv2, dimensionless.  While they may, directly or
      indirectly, correspond to specific physical information (such as
      delay, loss rate or bandwidth), this knowledge will not be used by
      OLSRv2.  Instead, generating the metric value will be the
      responsibility of a mechanism external to OLSRv2.

   o  Additive, so that the metric of a route is the sum of the metrics
      of the links forming that route.  Note that this requires a metric
      where a low value of a link metric indicates a "good" link and a
      high value of a link metric indicates a "bad" link, where the
      former will be preferred to the latter.

   o  Directional, the metric from router A to router B need not be the
      same as the metric from router B to router A, even when using the
      same OLSRv2 interfaces.  At router A, a link metric from router B
      to router A is referred to as an incoming link metric, while a
      link metric from router A to router B is referred to as an
      outgoing link metric.  (These are, of course, reversed at router
      B.)

   o  Specific to a pair of OLSRv2 interfaces, so that if there is more
      than one link from router A to router B, each has its own link
      metric in that direction.  There will also be an overall metric, a
      "router metric", from router A to router B. This will be the
      minimum value of the link metrics from router A to router B,
      considering symmetric links only; it is undefined if there are no
      such symmetric links.  A router metric from one router to another
      is always equal to a link metric in the same direction between
      OLSRv2 interfaces of those routers.  When referring to a specific
      OLSRv2 interface (for example in a Link Tuple or a HELLO message
      sent on that OLSRv2 interface) a link metric always refers to a
      link on that OLSRv2 interface, to or from the indicated 1-hop
      neighbor OLSRv2 interface, while a router metric may be equal to a
      link metric to and/or from another OLSRv2 interface.

   These aspects of link and router metrics are discussed in the
   following sections.

4.1.  Link Metric Types

   There are various physical characteristics that may be used to define
   a link metric.  Some examples, which also illustrate some
   characteristics of metrics that result, are:




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   o  Delay is a straightforward metric, as it is naturally additive,
      the delay of a multi-link route is the sum of the delays of the
      links.  (This does not directly take into account delays due to
      routers, rather than links, but these can be divided among
      incoming and outgoing links.)  However given a limited range of
      link metric value (as must be used) more than one type of delay
      metric may be required, representing different ranges of delay
      value.

   o  Probability of loss on a link is, as long as probabilities of loss
      are small and independent, approximately additive.  (A slightly
      more accurate approach is using a negatively scaled logarithm of
      the probability of not losing a packet.)  If losses are not
      independent then this will be pessimistic.  Again, more than one
      range of values (or, equivalently, more than one scaling of the
      logarithms) may be needed.

   o  Bandwidth is not additive, it even has the wrong characteristic of
      being good when high, bad when low; thus a mapping that inverts
      its ordering must be applied.  Such a mapping can, at best, only
      produce a metric that it is acceptable to treat as additive.
      Consider, for example, a preference for a route that maximizes the
      minimum bandwidth link on the route, and then prefers a route with
      the fewest links of each bandwidth from the lowest.  If links may
      be of three discrete bandwidths, "high", "medium" and low", then
      this preference can be achieved, on the assumption that no route
      will have more than 10 links, with metric values of 1, 10 and 100
      for the three bandwidths.  If routes can have more than 10 links,
      the range of metrics must be increased; this indicates a
      preference for a wide "dynamic range" of link metric values.
      Depending on the ratios of the numerical values of the three
      bandwidths, the same effect may be achieved by using a scaling of
      an inverse power of the numerical values of the bandwidths.  For
      example if the three bandwidths were 2, 5 and 10 Mbit/s, then a
      possible mapping would be the fourth power of 10 Mbit/s divided by
      the bandwidth, giving metric values of 625, 16 and 1 (good for up
      to 16 links in a route).  This mapping can be extended to a system
      with more bandwidth values, for example giving a 4 Mbit/s
      bandwidth a metric value of about 39.  This may lose the
      capability to produce an absolutely maximum minimum bandwidth
      route, but will usually produce either that, or something close
      (and at times maybe better, is a route of three 5 Mbit/s links
      really better than one of a single 4 Mbit/s link?)  Specific
      metrics will need to define the mapping (e.g., a power and
      bandwidth scaling).

   There are also many other possible metrics, including physical layer
   information (such as signal to noise ratio, and error control



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   statistics) and information such as packet queuing statistics.

   In a well-designed network, all routers will use the same physical
   metric type.  It will not produce good routes if, for example, some
   link metrics are based on bandwidth and some on path loss (except to
   the extent that these may be correlated).  How to achieve this is an
   administrative matter, outside the scope of OLSRv2.  In fact even the
   actual physical meanings of the metrics will be outside the scope of
   OLSRv2.  This is because new metrics may be added in the future, for
   example as bandwidths increase, and may be based on new, possibly
   non-technical, considerations, for example financial cost.  Each such
   type will have a metric type number (whose range is considered
   later).  Initially a single link metric type zero will be defined as
   indicating a dimensionless metric with no predefined physical
   meaning.

   An OLSRv2 router will then be instructed which single link metric
   type to use and recognize, without knowing whether it represents
   delay, probability of loss, bandwidth, cost or any other quantity.
   This recognized link metric type number will be a router parameter,
   and subject to change in case of reconfiguration, or possibly the use
   of a protocol (outside the scope of OLSRv2) permitting a process of
   link metric type agreement between routers.

   The use of link metric type numbers also suggests the possibility of
   use of multiple link metric types and multiple network topologies.
   This is a possible future extension to OLSRv2, but is not included in
   this proposal.  To allow for that future possibility, the sending of
   more than one metric, of different physical types, which should not
   be done for reasons of efficiency, will however not be forbidden, but
   other types than that configured will be ignored.

   The following three sections assume a chosen single link metric type,
   of unspecified physical nature.  The selection of that type is
   described in Section 4.5.

4.2.  Directional Link Metrics

   OLSRv2 uses only "symmetric" (bidirectional) links, which may pass
   traffic in either direction.  A key decision is whether these links
   should each be assigned a single metric, used in both directions, or
   a metric in each direction, noting that:

   o  Links can have different characteristics in each direction, use of
      directional link metrics recognizes this.

   o  In many (possibly most) cases, the two ends of a link will
      naturally form different views as to what the link metric should



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      be.  To use a single link metric requires a coordination between
      the two that can be avoided if using directional links.  Note that
      if using a single metric, it would be essential that the two ends
      agree as to its value, otherwise it is possible for looping to
      occur.  This problem does not occur for directional metrics.

   Based on these considerations, directional metrics are preferred.
   Each router must thus be responsible for defining the metric in one
   direction only.  This could be in either direction, i.e., that a
   router is responsible for either incoming or outgoing link metrics,
   as long as the choice is universal.  The former (incoming) case is
   used because, in general, receiving routers have more information
   available to determine link metrics (for example received signal
   strength, interference levels and error control coding statistics).

   Note that, using directional metrics, if router A defines the metric
   of the link from router B to router A, then router B must use router
   A's definition of that metric on that link in that direction.
   (Router B could, if appropriate, use a bad mismatch between
   directional metrics as a reason to discontinue use of this link,
   using the link quality mechanism in [NHDP].)

4.3.  Reporting Link and Router Metrics

   Links, and hence link metrics, will be reported in HELLO messages.  A
   router must report incoming link metrics in its HELLO messages in
   order that these are each available at the corresponding other end of
   the link.  This will mean that, for a symmetric link, both ends of
   the link will know both link metrics.

   Incoming link metrics in HELLO messages are not however sufficient.
   In addition, when different, incoming router metrics are also
   required.  These are used for routing MPR selection (see
   Section 5.2).  Router metrics, not just link metrics, are required,
   at least for symmetric neighbors, because in general a router will
   nor receive HELLO messages sent on all of its 1-hop neighbor's OLSRv2
   interfaces.

   Metrics will also be reported in TC messages.  It can be shown that
   these need to be outgoing metrics:

   o  Router A must be responsible for advertising a metric from router
      A to router B in TC messages.  This can be seen by considering a
      route connecting single OLSRv2 interface routers P to Q to R to S.
      Router P receives its only information about the link from R to S
      in the TC messages transmitted by router R, which is an MPR of
      router S (assuming that only MPR selectors are reported in TC
      messages).  Router S may not even transmit TC messages (if no



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      routers have selected it as an MPR and it has no attached networks
      to report).  So any information about the metric of the link from
      R to S must also be included in the TC messages sent by router R,
      hence router R is responsible for reporting the metric for the
      link from R to S.

   o  In a more general case, where there may be more than one link from
      R to S, the TC message must, in order that minimum metric routes
      can be constructed (e.g., by router P) report the minimum of these
      link metrics, i.e., the outgoing router metric from R to S.

   In this example, router P also receives information about the
   existence of a link between Q and R in the HELLO messages sent by
   router Q. Without the use of metrics, this link may be used by OLSRv2
   for two hop routing to router R using just HELLO messages sent by
   router Q. Assuming that this property (which accelerates local route
   formation) is to be retained, router P must receive the metric from Q
   to R in HELLO messages sent by router Q. This indicates that router Q
   must be responsible for reporting the metric for the outgoing link
   from Q to R. This is in addition to the incoming link metric
   information that a HELLO message must report.

   This leaves two possible design choices:

   o  HELLO messages can report only incoming metrics.  Link metrics are
      required for links on this OLSRv2 interface, i.e., with a
      LINK_STATUS TLV, and only when indicating HEARD or SYMMETRIC.
      Router metrics are required when different, and when indicating
      SYMMETRIC using either a LINK_STATUS or OTHER_NEIGHB TLV.  However
      this would prevent the use of two hop routes informed only by
      HELLO messages, and would be a change to OLSRv2.

   o  HELLO messages can also report outgoing router metrics.  This is
      required when indicating SYMMETRIC using either a LINK_STATUS or
      OTHER_NEIGHB TLV.  This would allow the use of two hop routes
      using HELLO messages only.

   Accelerated two hop route formation is a feature of OLSRv2 it would
   be unfortunate to lose, and hence the latter approach has been
   adopted.  In addition, Section 5.1 offers an additional reason for
   reporting outgoing router metrics, without which metrics can properly
   affect only routing, not flooding.

   Note that there is no need to report an outgoing link metric.  The
   corresponding 1-hop neighbor knows that value, it specified it, and
   for 2-hop neighborhood use router metrics are required (as these
   will, in general, not use the same OLSRv2 interface).




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4.4.  Defining Incoming Link Metrics

   When a router reports a 1-hop neighbor in a HELLO message it may do
   so for the first time with link status HEARD.  The receiving router
   may then immediately consider the link to be symmetric and thus will
   use it.

   As the router is responsible for defining and reporting incoming link
   metrics, it must evaluate that metric, and attach that link metric to
   the appropriate address (which will have link status HEARD) in the
   next HELLO message reporting that address on that OLSRv2 interface.
   There will be no outgoing link metric available to report.

   Thus a router must be able to immediately decide on an incoming link
   metric once it has heard a neighbor on an OLSRv2 interface for the
   first time.  This is because, on receiving a HELLO message from this
   router, that neighbor will (unless link quality indicates otherwise)
   immediately consider the link to be symmetric and use it.  It may,
   depending on the physical nature of the link metric, be too early for
   an ideal decision as to that metric, however a choice must be made
   (even if only that a default value is used).  The metric value may
   later be refined based on further observation of HELLO messages,
   other message transmissions between the routers, or other
   observations of the environment.  It will probably be best to over-
   estimate the metric if initially uncertain as to its value, to
   discourage, rather than over-encourage, its use.

4.5.  Link Metric TLVs

   Metric values will naturally be reported using a new address block
   TLV, here named LINK_METRIC.  This is used for both link metrics and
   router metrics.  Indicating the different types of metric: physical,
   directional and link/router metric, will require the use of a TLV
   extended type to represent the type of the metric.  The two least
   significant bits of the TLV type extension, will be allocated to
   manage direction and link/router metric, with options to allow common
   values (which may arise by accident, or due to using a bandwidth
   metric with a limited number of values) to be reported efficiently.
   The remaining most significant six bits of the type extension will be
   the link metric type, defined by the router parameter
   LINK_METRIC_TYPE, which must be in the range 0 to 63, inclusive.

   Link metric types, and their physical meaning and mapping, will be
   allocated by IANA.  Link metric types 56 to 63 will be for private/
   experimental use, and 1 to 55 will be allocated by expert review.
   Link metric type 0 will be defined by OLSRv2 as described below (thus
   also allowing an interoperable implementation of OLSRv2 with no
   further link metric type definitions and allocations).



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   The value field of the LINK_METRIC TLV, which may be multivalue, will
   be as described in Section 4.6.  There will also be a default metric
   value, and a LINK_METRIC TLV with that value may be omitted, and if a
   link metric is required, but no LINK_METRIC TLV of the appropriate
   type is present, then that default value will be assumed.

   A message TLV, of type LINK_METRIC_EXTENSION is also defined.  A
   message may not include more than one such TLV.  It takes a single
   octet value, which represents the default LINK_METRIC type extension.
   Its most significant six bits must be the router parameter
   LINK_METRIC_TYPE.  It may also have its two least significant bits
   set to any value.  If there is no LINK_METRIC_EXTENSION TLV, then one
   with value zero is assumed.

   Any LINK_METRIC TLV with no type extension is treated as having a
   type extension equal to the value of the LINK_METRIC_EXTENSION TLV in
   that message.  Any LINK_METRIC TLV with a type extension whose most
   significant six bits are all zero replaces those six bits with the
   most significant six bits of the value of the LINK_METRIC_EXTENSION
   TLV.

   The use of the LINK_METRIC_EXTENSION TLV may be illustrated by
   assuming that that physical link type N is to be used.  Then in a
   HELLO message, where all LINK_METRIC TLVs should have type extensions
   4N, 4N+1 4N+2 or 4N+3, these TLVs can instead have type extensions 0,
   1, 2 and 3, and the first of these can be omitted.  In a TC message,
   where all LINK_METRIC TLVs should have type 4N+2, a single
   LINK_METRIC_EXTENSION TLV can have value 4N+2, and all LINK_METRIC
   TLV type extensions can be omitted.

   For a network which does not use link metrics, simply omitting a
   LINK_METRIC_EXTENSION TLV and all LINK_METRIC TLVs uses only default
   values of a dimensionless metric, i.e., is equivalent to using hop
   count, with no additional overhead.  However a router in such a
   network MUST still recognize and use link metrics in the event that
   other routers use values other than the default values.

4.6.  Link Metric Values

   In keeping with the requirement that OLSRv2 can be unaware of the
   details of metric values (which may be defined in the future) a
   single link metric value definition is required.

   As previously noted, a reasonably wide dynamic range of link metrics
   is desirable.  On the other hand, link metrics that occupy no more
   than one octet are also desirable for message size reasons.  One
   approach that includes both requirements is already in use in OLSRv2,
   for time values, as described in [RFC5497].  This specifies a value



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   using a mantissa and exponent, together occupying 8 bits.  For link
   metric purposes a 4 bit mantissa and a 4 bit exponent is suggested
   here.  ([RFC5497] uses a 3 bit mantissa and a 5 bit exponent,
   offering increased range but reduced precision.)  This would be used
   so that the transmitted octet 16*b + a represents the value (1 +
   a/16) * 2^b.  This would then represent values from a minimum of 1 to
   a maximum of 63488.  However this also allows fractional metrics, so
   for convenience it is suggested that the metric value range used is
   considered to be from a minimum of 16 to a maximum of 16 * 63488 (=
   1015808), i.e., that 16*b + a represents the value (16 + a) * 2^b.
   Note that this rescaling has no effect on message contents or
   performance.  The limiting values of the metric will be defined as
   the constants MINIMUM_METRIC (16) and MAXIMUM_METRIC (1015808) to
   allow their more convenient use.  (It is recommended that all
   mappings from real parameters to link metric values are specified
   using these constants by name.)

   As noted above, in order that metric use can be most efficient, a
   default value is needed.  This also should be type-independent.  It
   is suggested that this is in the centre of the above range
   logarithmically; the closest representable value is 4096 (a = 0, b =
   8).  This will be defined as the constant DEFAULT_METRIC.  It is also
   suggested that route metric summation should be exact.  Since a route
   cannot have more than 255 links, 28 bit (or more, in practice
   probably 32 bit) arithmetic can be used.


























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5.  MPRs with Link Metrics

   MPRs are used for two purposes in OLSRv2.  In both cases it is MPR
   selectors that are actually used, MPR selectors being determined from
   MPRs advertised in HELLO messages.

   o  Optimized flooding.  This uses the MPR selector status of neighbor
      routers from which messages are received in order to determine if
      these messages are to be forwarded.  MPR selector status is
      recorded in the Neighbor Set, and determined from received HELLO
      messages.

   o  Routing.  Non-local link information is based on information
      recorded in this router's Topology Information Base.  That
      information is based on received TC messages.  The neighbor
      information in these TC messages consists of addresses of the
      originating router's advertised neighbors, as recorded in that
      router's Neighbor Set. These advertised neighbors include all of
      the MPR selectors of the originating router.

   Metrics interact with these two uses of MPRs differently, as
   described in the following two sections, and which leads to the
   requirement for two separate sets of MPRs for these two uses when
   using metrics.  The relationship between these two sets of MPRs is
   considered in Section 5.3.

5.1.  Flooding MPRs

   MPR selection for flooding can ignore metrics.  Selection using any
   algorithm that ignores metrics, including any allowed by [OLSRv2],
   will produce a flooding solution that works.

   However, that does not mean that metrics cannot be usefully
   considered in selecting such "flooding MPRs".  Consider the network
   in Figure 2, where numbers are metrics of links away from router A,
   towards router D. (Simple metric values are used for clarity, rather
   than using the range MINIMUM_METRIC to MAXIMUM_METRIC; the values
   could be replaced by scaled values in that range.)

                                     3
                                 A ----- B
                                 |       |
                               1 |       | 1
                                 |       |
                                 C ----- D
                                     4

                                 Figure 2



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   Which is the better flooding MPR selection by router A: B or C?  If
   the metric represents probability of message loss, then clearly
   choosing B maximizes the probability of a message sent by A reaching
   D. This is despite that C has a lower metric in its connection to A
   than B does.  (Similar arguments about a preference for B can be made
   if, for example, the metric represents bandwidth or delay rather than
   probability of loss.)

   However, neither should only the second hop be considered.  If this
   example is modified to that in Figure 3:

                                     3
                                 A ----- B
                                 |       |
                               1 |       | 3
                                 |       |
                                 C ----- D
                                     4

                                 Figure 3

   then it is possible that, when A is selecting flooding MPRs,
   selecting C is preferable to selecting B. If the metrics represent
   scaled values of delay, or the probability of loss, then selecting C
   is clearly better.  This indicates that the sum of metrics is an
   appropriate measure to use to choose between B and C.

   However, this is a particularly simple example.  Usually it is not a
   simple choice between two routers as a flooding MPR, each only adding
   one router coverage.  A more general process, when considering which
   router to next add as a flooding MPR, should incorporate the metric
   to that router, and the metric from that router to each symmetric
   strict 2-hop neighbor, as well as the number of newly covered
   symmetric strict 2-hop neighbors as well as the other factors used in
   the example algorithm in [OLSRv2].

   Note that, as in [OLSRv2], each router can make its own independent
   choice of flooding MPRs, and flooding MPR selection algorithms, and
   still interoperate.  A possible algorithm, representing a
   modification of the current algorithm in [OLSRv2] (and reducing to it
   when all metrics are equal) is suggested in Section 6.10.

   Note that the references above to the direction of the metrics is
   correct: for flooding, directional metrics outward from a router are
   appropriate, i.e., metrics in the direction of the flooding.  This is
   an additional reason for including outward metrics in HELLO messages,
   as otherwise a metric-aware MPR selection for flooding is not
   possible.  The second hop metrics are outgoing router metrics because



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   the OLSRv2 interface used for a second hop transmission may not be
   the same as that used for the first hop reception.

5.2.  Routing MPRs

   The essential detail of the current MPR specification in [OLSRv2] is
   that a router must, per OLSRv2 interface, select a set of MPRs such
   that there is a two hop route from each symmetric strict 2-hop
   neighbor of the selecting router to the selecting router, with the
   intermediate router on each such route being an MPR of the selecting
   router.

   It is sufficient, when using an additive link metric rather than a
   hop count, to require that these "routing MPRs" provide not just a
   two hop route, but a minimum distance two hop route.  In addition,
   the concept of symmetric strict 2-hop neighbor needs an adjustment.
   A router is a symmetric strict 2-hop neighbor even if it is a
   symmetric 1-hop neighbor, as long as there is a two hop route from it
   that is shorter than the one hop link from it.  (The property that no
   routes go through routers with willingness WILL_NEVER is retained.
   Examples below assume that all routers are equally willing, with none
   having willingness WILL_NEVER.)

   For example, consider the network in Figure 4.  Numbers are metrics
   of links towards router A, away from router D. Router A must pick
   router B as a routing MPR, whereas for minimum hop count routing it
   could alternatively pick router C. Note that the use of incoming
   router metrics in this case follows the same reasoning as for the
   directionality of metrics in TC messages, as described in
   Section 4.3.

                                     2
                                 A ----- B
                                 |       |
                               1 |       | 1
                                 |       |
                                 C ----- D
                                     3

                                 Figure 4

   In Figure 5, router A must pick router B as a routing MPR, but for
   minimum hop count routing it would not need to pick any MPRs.








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                                     1
                                   A - B
                                    \  |
                                   4 \ | 2
                                      \|
                                       C

                                 Figure 5

   In Figure 6, router A must pick both routers B and C as routing MPRs,
   but for minimum hop count routing it could pick either.

                                D        E
                                |\      /|
                                | \ 3  / |
                                |  \  /  |
                              1 |   \/   | 1
                                |   /\   |
                                |  /  \  |
                                | / 2  \ |
                                |/      \|
                                B        C
                                 \       |
                                  \     /
                                 3 \   / 2
                                    \ /
                                     A

                                 Figure 6

   It is shown in Appendix A that selecting routing MPRs according to
   this definition, and advertising only such links (plus knowledge of
   local links from HELLO messages), will result in selection of
   shortest routes, even if all links are considered in the definition
   of a shortest route.

   However the definition noted above as sufficient for routing MPR
   selection is not necessary.  For example, consider the network in
   Figure 7.  (The metrics from B to C and C to B are both assumed to be
   2.)











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                                 1
                             A ----- B
                              \     /
                             4 \   / 2
                                \ /
                                 C ----- D ----- E
                                     3       5

                                 Figure 7

   Using the above definition, A must pick both B and C as routing MPRs,
   in order to cover the symmetric strict 2-hop neighbors C and D,
   respectively.  (C is a symmetric strict 2-hop neighbor because the
   route length via B is shorter than the 1-hop link.)

   However, A only needs to pick B as a routing MPR, because the only
   reason to pick C as a routing MPR would be so that C can advertise
   the link to A for routing - to be used by, for example, E. But A
   knows that no other router should use the link C to A in a shortest
   route, because routing via B is shorter.  So if there is no need to
   advertise the link from C to A, then there is no reason for A to
   select C as a routing MPR.

   This process of "thinning out" the routing MPR selection uses only
   local information from HELLO messages.  Using any minimum distance
   algorithm, the router identifies shortest routes, whether one, two or
   more hops, from all routers in its symmetric strict 2-hop
   neighborhood.  It then selects as MPRs all symmetric strict 1-hop
   neighbors that are the last router (before the selecting router
   itself) on any such route.  Where there is more than one shortest
   distance route from a router, only one such route is required.
   Alternative routes may be selected so as to minimize the number of
   last routers - this is the equivalent to the selection of a minimal
   set of MPRs in the non-metric case.  An example of how to perform
   this in practice is given in Appendix B.

   Note that, compared to the first proposed approach, this only removes
   routing MPRs whose selection can be directly seen to be unnecessary.
   Consequently if (as is shown in Appendix A) the first approach
   creates minimum distance routes, then so does this revised process.

   Note that the examples in Figure 5 and Figure 6 show that use of link
   metrics may require a router to select more routing MPRs than when
   not using metrics, and even require a router to select routing MPRs
   when without metrics it would not need any routing MPRs.  This may
   result in more, and larger, messages being generated, and forwarded
   more often.  Thus the use of link metrics is not without cost, even
   excluding the cost of link metric signaling.  There is however no



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   cost (in message size or number of messages) if all link metrics are
   default valued and no link metric TLV is used.

   These examples consider only single OLSRv2 interface routers.
   However if routers have more than one OLSRv2 interface, then the
   process is unchanged, other than that if there is more than one known
   metric between two routers (on different OLSRv2 interfaces), then,
   considering symmetric links only (as only these are used for routing)
   the smallest link metric, i.e., the router metric, must be used.
   There is no need to calculate routing MPRs per OLSRv2 interface.
   That requirement results from the consideration of flooding and the
   need to avoid certain "race" conditions, which are not relevant to
   routing.

5.3.  Relationship Between MPR Sets

   It would be convenient if the two sets of flooding and routing MPRs
   were the same.  This can be the case if all metrics are equal
   (whether to the default value or any other value), but in general,
   for "good" sets of MPRs they are not.  (A reasonable definition of
   this is that there is no common minimal set of MPRs.)  If metrics are
   asymmetrically valued (the two sets of MPRs use opposite direction
   metrics), or routers have multiple OLSRv2 interfaces (where routing
   MPRs can ignore this, but flooding MPRs cannot) this is particularly
   unlikely.  However even using a symmetrically valued metric with a
   single OLSRv2 interface on each router, the sets are not equal, nor
   is one always a subset of the other.  To show this, consider these
   examples, where all lettered routers are assumed equally willing to
   be MPRs, and numbers are bidirectional metrics for links.

   In Figure 8, A does not require any flooding MPRs.  However A must
   select B as a routing MPR.

                                     1
                                   A - B
                                    \  |
                                   4 \ | 2
                                      \|
                                       C

                                 Figure 8

   In Figure 9, A must select C and D as routing MPRs.  However A's
   minimal set of flooding MPRs is just B. In this example the set of
   routing MPRs will serve as a set of flooding MPRs, but a non-minimal
   one (although one that might be better, depending on the relative
   importance of number of MPRs and flooding link metrics).




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                                       2
                                    C --- E
                                   /     /
                                1 /     / 1
                                 /  4  /
                                A --- B
                                 \     \
                                1 \     \ 1
                                   \     \
                                    D --- F
                                       2

                                 Figure 9

   However, this is not always the case.  In Figure 10, A's set of
   routing MPRs must contain B, but need not contain C. A's set of
   flooding MPRs need not contain B, but must contain C. (In this case,
   flooding with A selecting B rather than C as a flooding MPR will
   reach D, but in three hops rather than the minimum two that MPR
   flooding guarantees.)

                                   2   1
                                 B - C - D
                                 |  /
                               1 | / 4
                                 |/
                                 A

                                 Figure 10






















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6.  Implementation

   Implementation of metrics in OLSRv2 requires the following additions
   to [OLSRv2]:

   o  Definition of the constant minimum, maximum and default metric
      values MINIMUM_METRIC, MAXIMUM_METRIC and DEFAULT_METRIC, and the
      mapping between metric values and their single octet
      representation.  In some cases a metric value is defined as
      "unspecified".  In this case either that metric value MUST be
      excluded from all comparisons, or the unspecified value MUST be
      considered to be a value greater than or equal to MAXIMUM_METRIC.

   o  Definition of the router parameter LINK_METRIC_TYPE.

   o  Addition of link and router metric information to the Local
      Information Base, the Interface Information Base, the Neighbor
      Information Base and the Topology Information Base.

   o  Modifications to the Interface Information Base and Neighbor
      Information Base to reflect the two types of MPRs to be used.

   o  A LINK_METRIC Address Block TLV to represent metrics, to handle
      incoming and outgoing/agreed cases and alternative link metric
      types.

   o  A LINK_METRIC_EXTENSION Message TLV to allow the simplification of
      the representation of the metric types in a message.

   o  A modification of the TLV to represent MPRs, to report both
      routing and flooding MPR status.

   o  HELLO message generation to add metrics and both MPR types.

   o  HELLO message processing to use metrics and both MPR types.

   o  Separate routing and flooding MPR calculations and update of the
      Neighbor Set.

   o  TC message generation to add metrics.

   o  TC message processing to use metrics.

   o  Routing Set updates to use metrics.

   These changes are summarized in the following sections.  Updates to
   the constraints that apply to the Information Bases are summarized in
   Appendix D.



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6.1.  Parameters and Constants

   The constant minimum, maximum and default metric values are defined
   by:

   o  MINIMUM_METRIC := 16

   o  MAXIMUM_METRIC := 1015808

   o  DEFAULT_METRIC := 4096

   The router parameter LINK_METRIC_TYPE may take any value from 0 to 63
   inclusive.  If this router parameter is changed, then all protocol
   sets which contain link metric information (i.e., all those updated
   in the following sections) MUST have all of their contents
   immediately removed, except that Link Tuples that are not pending
   should instead be updated by:

   o  L_HEARD_time := EXPIRED

   o  L_SYM_time := EXPIRED

   The usual consequences of a Link Tuple no longer being symmetric, if
   it was, and of timeout of being heard, must be applied.  The former
   of these will include, in all cases:

   o  L_mpr_selector := false

   and the latter will include, in all cases:

   o  L_in_metric := unspecified

   o  L_out_metric := unspecified

6.2.  Local Information Base

   Each Local Attached Network Tuple, defined in [OLSRv2], will need one
   additional element:

   AL_metric  is the metric of the link to the attached network with
      address AL_net_addr from this router;

   This could replace the existing AL_dist element, however in order
   that the R_dist elements in a Routing Set can be set correctly (as
   there may be an external use for these) the AL_dist element has been
   retained, and hence also the hop count value in the GATEWAY TLV.
   Attached networks have not been discussed in this document up to this
   point, but they will behave very similarly to as currently defined in



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   [OLSRv2], with appropriate use of this metric.

6.3.  Interface Information Base

   Each Link Tuple, defined in [OLSRv2] by reference to [NHDP], will
   need three additional elements:

   L_in_metric  is the metric of the link from the OLSRv2 interface with
      addresses L_neighbor_iface_addr_list to this OLSRv2 interface;

   L_out_metric  is the metric of the link to the OLSRv2 interface with
      addresses L_neighbor_iface_addr_list from this OLSRv2 interface;

   L_mpr_selector  is a boolean flag, describing if this neighbor has
      selected this router as a flooding MPR, i.e., is a flooding MPR
      selector of this router.

   L_in_metric will be specified by a process outside the OLSRv2
   specification, similarly to L_quality.  This MUST be done whenever a
   Link Tuple is created, except with L_status = PENDING, or the Link
   Tuple changes to have L_status = HEARD or L_status = SYMMETRIC.  If
   all links are to have the same metric value then the value of
   DEFAULT_METRIC SHOULD be used.  If L_status changes to LOST then
   L_in_metric MUST be set as unspecified.  If L_in_metric is set or
   changed, then the corresponding N_in_metric MUST be updated by:

   o  If there is no old N_in_metric, or if the new L_in_metric is less
      than the old N_in_metric, then set the new N_in_metric to the new
      L_in_metric.

   o  Otherwise, if the old L_in_metric is equal to the old N_in_metric,
      and the new L_in_metric is greater than the old N_in_metric, then
      set the new N_in_metric to the minimum of all corresponding
      L_in_metric values, including the new L_in_metric.

   L_out_metric will be defined by this protocol.  When a Link Tuple is
   created, the default value of L_out_metric MUST be set as
   unspecified.  If any L_out_metric is set or changed, then the
   corresponding N_out_metric MUST be updated by:

   o  If there is no old N_out_metric, or if the new L_out_metric is
      less than the old N_out_metric, then set the new N_out_metric to
      the new L_out_metric.

   o  Otherwise, if the old L_out_metric is equal to the old
      N_out_metric, and the new L_out_metric is greater than the old
      N_out_metric, then set the new N_out_metric to the minimum of all
      corresponding L_out_metric values, including the new L_out_metric.



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   Each 2-Hop Tuple, defined in [OLSRv2] by reference to [NHDP], will
   need two additional elements:

   N2_in_metric  is the router metric from the router with address
      N2_2hop_iface_addr to the router with OLSRv2 interface addresses
      N2_neighbor_iface_addr_list;

   N2_out_metric  is the router metric to the router with address
      N2_2hop_iface_addr from the router with OLSRv2 interface addresses
      N2_neighbor_iface_addr_list;

6.4.  Neighbor Information Base

   Each Neighbor Tuple, defined in [OLSRv2] by reference to [NHDP], will
   need five additional or modified elements:

   N_in_metric  is the router metric of any link from this neighbor to
      this router, i.e., the minimum of all corresponding L_in_metric
      with L_status = SYMMETRIC, unspecified if there are no such Link
      Tuples;

   N_out_metric  is the router metric of any link from this router to
      this neighbor, i.e., the minimum of all corresponding L_out_metric
      with L_status = SYMMETRIC, unspecified if there are no such Link
      Tuples;

   N_routing_mpr  is a boolean flag, describing if this neighbor is
      selected as a routing MPR by this router;

   N_flooding_mpr  is a boolean flag, describing if this neighbor is
      selected as a flooding MPR by this router;

   N_mpr_selector  is a boolean flag, describing if this neighbor has
      selected this router as a routing MPR, i.e., is a routing MPR
      selector of this router.

   Note that flooding MPR selector status is recorded in the Link Sets,
   not in the Neighbor Set, so that the meaning of N_mpr_selector
   changes (is partly moved to L_mpr_selector).  N_routing_mpr and
   N_flooding_mpr replace N_mpr.

6.5.  Topology Information Base

   Each Router Topology Tuple, defined in [OLSRv2], will need one
   additional element:






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   TR_metric  is the router metric from the router with originator
      address TR_from_orig_addr to the router with originator address
      TR_to_orig_addr.

   Each Routable Address Topology Tuple, defined in [OLSRv2], will need
   one additional element:

   TA_metric  is the router metric from the router with originator
      address TA_from_orig_addr to the router with OLSRv2 interface
      address TA_dest_addr.

   Each Attached Network Tuple, defined in [OLSRv2], will need one
   additional element:

   AN_metric  is the metric of the link from the router with originator
      address AN_orig_addr to the attached network with address
      AN_net_addr.

   The existing AN_dist element is retained, as for AL_dist in the Local
   Attached Network Tuple.

   Each Routing Tuple, defined in [OLSRv2], will need one additional
   element:

   R_metric  is the metric of the route to the destination with address
      R_dest_addr.

   The R_dist element has been retained as well as adding R_metric.  It
   is outside the scope of OLSRv2 to specify how R_dist and/or R_metric
   may be used when the Routing Set is used to update the IP routing
   table or for any other purpose.

6.6.  Metric Representation

   Both HELLO messages and TC messages will need to associate metric
   values with neighbor addresses that they report.  These metric values
   will have a type defined by router parameter LINK_METRIC_TYPE.  This
   in turn will define the most significant six bits of a TLV type
   extension, where the least significant two bits define the direction
   of the metric, and whether this is a link metric or a router metric
   according to Table 1 for a HELLO message.  Note that all type
   extensions considered here are after modification as described in
   Section 4.5 if a LINK_METRIC_EXTENSION message TLV is present.








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   +-------+-----------------------------------------------------------+
   | Value |                       Interpretation                      |
   +-------+-----------------------------------------------------------+
   |   0   |   incoming link metric (L_in_metric) and outgoing router  |
   |       |                   metric (N_out_metric)                   |
   |       |                                                           |
   |   1   |             incoming link metric (L_in_metric)            |
   |       |                                                           |
   |   2   |           outgoing router metric (N_out_metric)           |
   |       |                                                           |
   |   3   |            incoming router metric (N_in_metric)           |
   +-------+-----------------------------------------------------------+

       Table 1: Interpretation of the least significant two bits of
                      LINK_METRIC TLV type extension

   Case 0 allows the representation of cases 1 and 2 in a single TLV
   when these values are equal.  If case 3 is omitted, then the incoming
   router metric is assumed to equal the incoming link metric for that
   address.  If either of cases 1 or 2 is omitted then the corresponding
   value is assumed to equal DEFAULT_METRIC.

   For a TC message, the only metric values required are outgoing router
   metrics, N_out_metric values.

   A HELLO message is discarded silently if any indicated metric values
   are inconsistent.  This MUST be done for the link metric type
   LINK_METRIC_TYPE, it MAY be done for other link metric types.
   Inconsistency of values, of a single link metric type, is indicated,
   if for any address (including the same or different copies of that
   address) either of the following is indicated:

   o  More than one value of a metric with the same kind (link or node)
      and in the same direction (incoming or outgoing).

   o  A value of link metric is less than the corresponding value of
      router metric.  As only incoming link metrics are reported, this
      applies only in that direction.  This includes when either of
      these values is determined using the value DEFAULT_METRIC rather
      than being reported in a LINK_METRIC TLV.

   A TC message MUST be silently discarded if any address is associated
   with more than one outgoing router metric value for link metric type
   LINK_METRIC_TYPE.  It MAY be silently discarded if any address is
   associated with more than one outgoing router metric value for any
   other link metric type.

   A metric value in a HELLO message may be represented in any way that



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   when following the above rules provides that value directly, or by
   the indicated alternatives.  The expected combinations of least
   significant bits of type extensions used are:

   o  None (with L_in_metric = N_in_metric = N_out_metric =
      DEFAULT_METRIC).

   o  0 (with L_in_metric = N_in_metric = N_out_metric).

   o  1 (with L_in_metric = N_in_metric and N_out_metric =
      DEFAULT_METRIC).

   o  2 (with L_in_metric = N_in_metric = DEFAULT_METRIC).

   o  1 and 2 (with L_in_metric = N_in_metric).

   o  0 and 3 (with L_in_metric = N_out_metric).

   o  1 and 3 (with N_out_metric = DEFAULT_METRIC).

   o  2 and 3 (with L_in_metric = DEFAULT_METRIC).

   o  1, 2 and 3.

   A metric value in a TC message is expected to be represented with
   type extension with least significant two bits 2 (or omitted if
   N_out_metric = DEFAULT_METRIC).

   In all cases, association with a LINK_METRIC TLV may be with a TLV
   covering a single or multiple addresses, and in the latter case with
   a single or multiple values.

6.7.  MPR Representation

   The current (in [OLSRv2] single TLV which reports MPR status will
   need to report both routing and flooding MPR status.  For flooding
   MPRs it should do so only for addresses that have a symmetric link on
   the reporting OLSRv2 interface.

   Rather than using separate TLVs, it is suggested that two extended
   types are used to represent these two types, and a third extended
   type is used to indicate both.  The most efficient type extension,
   zero, could be used to represent both when a LINK_STATUS TLV with
   Type = SYMMETRIC is present, but to represent only routing MPR status
   when only an OTHER_NEIGHB TLV with Type = SYMMETRIC is present.






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6.8.  HELLO Message Generation

   The following additional reporting by a HELLO message is required.
   Link metric association is as previously described (i.e., may be
   combined and/or omitted when default as appropriate).

   o  Each included address from an L_neighbor_iface_addr_list with an
      associated LINK_STATUS TLV with Value = HEARD or Value = SYMMETRIC
      must have an associated incoming link metric for L_in_metric.

   o  Each included address from an N_neighbor_addr_list with an
      associated LINK_STATUS or OTHER_NEIGHB TLV with Value = SYMMETRIC
      must have associated router metrics for N_in_metric and for
      N_out_metric.

   o  At least one included address from each L_neighbor_iface_addr_list
      with an associated LINK_STATUS TLV with Value = SYMMETRIC must
      have an associated MPR TLV indicating flooding MPR status if and
      only if the corresponding N_flooding_mpr = true.

   o  At least one included address from each N_neighbor_addr_list with
      an associated LINK_STATUS or OTHER_NEIGHB TLV with Value =
      SYMMETRIC must have an associated MPR TLV indicating routing MPR
      status if and only if the corresponding N_routing_mpr = true.

   Routing and flooding MPR indications can be combined when
   appropriate.

6.9.  HELLO Message Processing

   Processing a HELLO message has the following extra steps:

   o  When adding or updating a Link Tuple when the HELLO message
      includes an address of the receiving OLSRv2 interface with a
      LINK_STATUS TLV:

      *  If the reported status is HEARD or SYMMETRIC, then the
         appropriate L_out_metric must be set to the value of any
         incoming (to the sending router) link metric of the appropriate
         type associated with this address using a LINK_METRIC TLV.  If
         there is no such TLV then L_out_metric is set to
         DEFAULT_METRIC.

      *  If the reported status is LOST then L_out_metric is set as
         unspecified.

      The corresponding N_out_metric must also be updated if necessary.




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   o  All 2-Hop Tuples that are added or updated by the HELLO message
      also have their N2_in_metric updated to the value of any
      associated incoming (to the sending router) router metric value of
      the appropriate type associated with this address using a
      LINK_METRIC TLV.  If there is no such TLV then N2_in_metric is set
      to DEFAULT_METRIC.

   o  All 2-Hop Tuples that are added or updated by the HELLO message
      also have their N2_out_metric updated to the value of any
      associated outgoing (to the sending router) router metric value of
      the appropriate type associated with this address using a
      LINK_METRIC TLV.  If there is no such TLV then N2_out_metric is
      set to DEFAULT_METRIC.

   o  When adding or updating a Link Tuple, if the HELLO message
      includes an address of the receiving OLSRv2 interface with a
      LINK_STATUS TLV with value SYMMETRIC, then the presence or absence
      of an associated MPR TLV indicating flooding TLV status will set
      or clear the appropriate L_mpr_selector.

   o  When adding or updating a Neighbor Tuple, if the HELLO message
      includes an address of the receiving OLSRv2 interface with a
      LINK_STATUS or OTHER_NEIGHB TLV with value SYMMETRIC, then the
      presence or absence of an associated MPR TLV indicating routing
      TLV status will set or clear the appropriate N_mpr_selector.

6.10.  MPR Calculation and Neighbor Set Update

   For routing MPRs, a possible algorithm is given in Appendix B.  This
   sets or clears N_routing_mpr in all Neighbor Tuples with N_symmetric
   = true.

   For flooding MPRs, the existing per OLSRv2 interface algorithm can be
   used unchanged.  In particular its first stage (adding necessary
   MPRs) and third stage (removing unnecessary MPRs) are appropriate
   unchanged.  Its second stage, which prioritizes possible added MPRs,
   can have link metrics (L_out_metric + N2_out_metric) added as a
   consideration in that prioritization.  One suggestion is that after
   picking candidate new MPRs that maximize the new coverage of two hop
   neighbors, ties can be broken (before tie breaking based on
   maximizing the total coverage of two hop neighbors, new and old) by
   minimizing the sum of L_out_metric + N2_out_metric for each candidate
   MPR, across all newly covered two hop neighbors.  Whatever algorithm
   is used, it sets or clears N_flooding_mpr instead of the current
   N_mpr.

   In addition to the modified algorithms, a modification of the
   circumstances in which they are needed (i.e., when the neighborhood



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   has changed sufficiently) is also required, and is different in each
   case.  For flooding MPRs this adds changes to L_out_metric and/or
   N2_out_metric values.  As use of these is optional, so is the
   recalculation.  Furthermore recalculation may be restricted to when
   the metrics increase for MPRs or decrease for non-MPRs.  For routing
   MPRs this adds changes to N_in_metric and/or N2_in_metric values, and
   is compulsory to maintain shortest routes.

6.11.  TC Message Generation

   The following additional contents of a TC message are required.  Link
   metric association is as previously described.

   o  Each included N_orig_addr or address from an N_neighbor_addr_list
      MUST have an associated outgoing router metric of the appropriate
      type with value N_out_metric.

   o  Each included AL_net_addr MUST have an associated outgoing router
      metric of the appropriate type with value AL_metric.

6.12.  TC Message Processing

   Processing a TC message has the following extra steps:

   o  When adding or updating a Router Topology Tuple, set TR_metric to
      the value of any associated outgoing router LINK_METRIC TLV, or to
      DEFAULT_METRIC if none.

   o  When adding or updating a Routable Address Topology Tuple, set
      TA_metric to the value of any associated outgoing router
      LINK_METRIC TLV, or to DEFAULT_METRIC if none.

   o  When adding or updating an Attached Network Tuple, set AN_metric
      to the value of any associated outgoing router LINK_METRIC TLV, or
      to DEFAULT_METRIC if none.

6.13.  Routing Set Calculation

   Routing Set calculation using the Network Topology Graph is
   unchanged, except that when selecting a Link Tuple to add an edge X
   -> S, that Link Tuple MUST also have L_out_metric = N_out_metric, and
   that edges in the Network Topology Graph have metrics rather than hop
   counts:

   o  For an edge X -> Y use N_out_metric.

   o  For an edge W -> U use TR_metric.




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   o  For an edge X -> S use N_out_metric.

   o  For an edge W -> V use TA_metric.

   o  For an edge W -> T use AN_metric.

   o  For an edge Y -> Z use N2_out_metric.

   An example algorithm, modified from that in [OLSRv2], is given in
   Appendix C.









































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7.  IANA Considerations

   This document presents no IANA considerations.  Addition of metrics
   to OLSRv2 will add to the IANA Considerations section of [OLSRv2].















































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8.  Security Considerations

   This document does not specify any security considerations.
















































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9.  References

9.1.  Normative References

   [OLSRv2]   Clausen, T., Dearlove, C., and P. Jacquet, "The Optimized
              Link State Routing Protocol version 2",
              draft-ietf-manet-olsrv2-11.txt (work in progress),
              April 2010.

   [RFC5444]  Clausen, T., Dean, J., Dearlove, C., and C. Adjih,
              "Generalized MANET Packet/Message Format", RFC 5444,
              February 2009.

9.2.  Informative References

   [NHDP]     Clausen, T., Dean, J., and C. Dearlove, "MANET
              Neighborhood Discovery Protocol (NHDP)", work in
              progress draft-ietf-manet-nhdp-12.txt, March 2010.

   [RFC2501]  Macker, J. and S. Corson, "Mobile Ad hoc Networking
              (MANET): Routing Protocol Performance Issues and
              Evaluation Considerations", RFC 2501, January 1999.

   [RFC5497]  Clausen, T. and C. Dearlove, "Representing multi-value
              time in MANETs", RFC 5497, March 2009.


























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Appendix A.  MPR Routing Property

   In order that routers can find and use shortest routes in a network
   while using the minimum reduced topology supported by OLSRv2 (that a
   router only advertises its MPR selectors in TC messages), routing MPR
   selection must result in the property that there are shortest routes
   with all intermediate routers being routing MPRs.

   This appendix uses the following terminology and assumptions:

   o  The network is a graph of nodes connected by arcs, where nodes
      correspond to routers with willingness not equal to WILL_NEVER
      (except possibly at the ends of routes).  An arc corresponds to
      the set of symmetric links connecting those routers; the OLSRv2
      interfaces used by those links are not relevant.

   o  Each arc has a metric in each direction, being the minimum of the
      corresponding link metrics in that direction, i.e., the
      corresponding router metric.  This metric must be positive.

   o  A sequence of arcs joining two nodes is referred to as a path.

   o  Node A is an MPR of node B, if corresponding router A is a routing
      MPR of router B.

   The required property (of using shortest routes with reduced
   topology) is equivalent to that for any pair of distinct nodes X and
   Z there is a shortest path from X to Z, X - Y1 - Y2 - ... - Ym - Z
   such that Y1 is an MPR of Y2, ...  Ym is an MPR of Z. Call such a
   path a routable path, and call this property the routable path
   property.

   The required definition for a node X selecting MPRs is that for each
   distinct node Z from which there is a two arc path, there is a
   shorter, or equally short, path which is either Z - Y - X where Y is
   an MPR of X, or is the one arc path Z - X. Note that the existence of
   locally known, shorter, but more than two arc paths, which can be
   used to reduce the numbers of MPRs, is not considered here.  (Such
   reductions are only when the remaining MPRs can be seen to retain all
   necessary shortest paths, and therefore retains the required
   property.)

   Although this appendix is concerned with paths with minimum total
   metric, not number of arcs (hop count), it proceeds by induction on
   the number of arcs in a path.  Although it considers minimum metric
   routes with a bounded number of arcs, it then allows that number of
   arcs to increase so that overall minimum metric paths, regardless of
   the number of arcs, are considered.



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   Specifically, the routable path property is a corollary of the
   property that for all positive integers n, and all distinct nodes X
   and Z, if there is any path from X to Z of n arcs or fewer, then
   there is a shortest path, from among those of n arcs or fewer, that
   is a routable path.  This may be called the n-arc routable path
   property.

   The n-arc routable path property is trivial for n = 1, and directly
   follows from the definition of the MPRs of Z for n = 2.

   Proceeding by induction, assuming the n-arc routable path property is
   true for n = k, consider the case that n = k+1.

   Suppose that X - V1 - V2 - ... - Vk - Z is a shortest k+1 arc path
   from X to Z. We construct a path which has no more than k+1 arcs, has
   the same or shorter length (hence has the same, shortest, length
   considering only paths of up to k+1 arcs, by assumption) and is a
   routable path.

   First consider whether Vk is an MPR of Z. If it is not then consider
   the two arc path Vk-1 - Vk - Z. This can be replaced either by a one
   arc path Vk-1 - Z or by a two arc path Vk-1 - Wk - Z where Wk is an
   MPR of Z, such that the metric from Vk-1 to Z by the replacement path
   is no longer.  In the former case (replacement one arc path) this now
   produces a path of length k, and the previous inductive step may be
   applied.  In the latter case we have replaced Vk by Wk, where Wk is
   an MPR of Z. Thus we need only consider the case that Vk is an MPR of
   Z.

   We now apply the previous inductive step to the path X - V1 - ... -
   Vk-1 - Vk, replacing it by an equal length path X - W1 - ...  Wm-1 -
   Vk, where m <= k, where this path is a routable path.  Then because
   Vk is an MPR of Z, the path X - W1 - ... - Wm-1 - Vk - Z is a
   routable path, and demonstrates the n-arc routable path property for
   n = k+1.

   This thus shows that for any distinct nodes X and Z, there is a
   routable path using the MPR-reduced topology from X to Z, i.e., that
   this modification of OLSRv2 still finds minimum length paths
   (routes).











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Appendix B.  Routing MPR Calculation

   This a possible algorithm for calculating routing MPRs.  At the start
   of the calculation set N_routing_mpr = false in all Neighbor Tuples.

   This calculation is not per OLSRv2 interface, but is for all OLSRv2
   interfaces together.  Thus the union of all of the router's 2-Hop
   Sets are considered in what follows.  (The router's Link Sets are not
   required, only its Neighbor Set.)

   Define a Local Topology Tuple (used only during routing MPR
   calculation) that represents a route from a final router to this
   router, to include:

   LT_next_orig_addr  is the N_orig_addr of the Neighbor Tuple
      corresponding to the nearest router to this router on the route;

   LT_last_orig_addr  is the N_orig_addr of the Neighbor Tuple
      corresponding to the furthest router on the route from this
      router, other than the final router;

   LT_final_iface_addr  is an address of the final router;

   LT_last_metric  is the metric of the part of the route from the last
      router to this router;

   LT_final_metric  is the metric of the link from the final router to
      the last router;

   LT_number_hops  is the number of hops on the route from the final
      router to this router.

   All such final routers can reach this router in two hops, the first
   hop being to the last router other than the final router, but the
   preferred route may use more hops with a lower metric.  When the
   route uses two hops, the last and next routers are the same (the
   router between this router and the final router).  As for 2-Hop
   Tuples, a separate Local Topology Tuple is used for each address of
   each final router.

   It is assumed here that between routes with equal metric, a route
   with fewest hops is preferred.

   Then, for each 2-Hop Tuple for which N_willingness of the
   corresponding Neighbor Tuple is not equal to WILL_NEVER, create a
   Local Topology Tuple with:





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   o  LT_next_orig_addr := N_orig_addr of the corresponding Neighbor
      Tuple

   o  LT_last_orig_addr := N_orig_addr of the corresponding Neighbor
      Tuple

   o  LT_final_iface_addr := N2_2hop_iface_addr

   o  LT_last_metric := N_in_metric of the corresponding Neighbor Tuple

   o  LT_final_metric := N2_in_metric

   o  LT_number_hops := 2

   Now, while there are any two Local Topology Tuples (Tuple A and Tuple
   B) such that:

   o  A's LT_final_iface_addr is in the N_neighbor_addr_list
      corresponding to B's LT_last_orig_addr, and

   o  A's LT_last_metric + LT_final_metric < B's LT_last_metric

   update Tuple B by:

   o  LT_next_orig_addr := A's LT_next_orig_addr

   o  LT_last_metric := A's LT_last_metric + LT_final_metric

   o  LT_number_hops := A's LT_number_hops + 1

   This replaces Tuple B's route from this router to its last router by
   Tuple A's route from this router to its final router.

   Once that process is finished, remove all Local Topology Tuples such
   that either:

   o  there is a Neighbor Tuple with LT_final_iface_addr in
      N_neighbor_addr_list; AND

   o  N_in_metric <= LT_final_metric

   or:

   o  there is another Local Topology Tuple with the same
      LT_final_iface_addr; AND

      *  a smaller value of LT_last_metric + LT_final_metric; OR




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      *  an equal value of LT_last_metric + LT_final_metric and a
         smaller value of LT_number_hops.

   This removes Local Topology Tuples where either there is a Neighbor
   Tuple offering a better one hop route, or another Local Topology
   Tuple offering a better route, from the final router.

   For each remaining Local Topology Tuple define that the Neighbor
   Tuple with N_orig_addr = LT_next_orig_addr covers the 2-hop neighbor
   address LT_final_iface_addr.

   A valid set of routing MPRs is any subset of these Neighbor Tuples
   which collectively cover all of these LT_final_iface_addr.  Set the
   corresponding N_routing_mpr = true.

   While any subset with this property is valid, a heuristic for a
   "good" subset is required.  The current heuristic in [OLSRv2] has
   three main steps: add necessary neighbors, add additional neighbors
   in a prioritized order until coverage is complete, remove unneeded
   neighbors (possibly in order of ascending willingness).  There is no
   reason to modify this.  The middle step currently uses the following
   priority order: greatest willingness, maximum new coverage, maximum
   coverage, if an MPR selector, any.  This will still work using
   metrics (the MPR selector step should be routing MPR selector).  It
   may be considered that metrics could be used.  However in principle
   this is not necessary, as metrics have already been taken into
   account in this construction.  (This differs from flooding MPRs,
   where considering metrics in this step is appropriate as they are not
   used up to this point.)






















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Appendix C.  Example Algorithm for Calculating the Routing Set

   Note: this text (other than this paragraph) directly replaces the
   similarly named appendix in [OLSRv2].

   The following procedure is given as an example for calculating the
   Routing Set using a variation of Dijkstra's algorithm.  First all
   Routing Tuples are removed, and then, using the selections and
   definitions in Appendix C.1, the procedures in the following sections
   (each considered a "stage" of the processing) are applied in turn.

C.1.  Local Interfaces and Neighbors

   The following selections and definitions are made:

   1.  For each Local Interface Tuple, select a network address from its
       I_local_iface_addr_list, this is defined as the selected address
       for this Local Interface Tuple.

   2.  For each Link Tuple, the selected address of its corresponding
       Local Interface Tuple is defined as the selected local address
       for this Local Interface Tuple.

   3.  For each Neighbor Tuple with N_symmetric = true, select a Link
       Tuple with L_status = SYMMETRIC for which this is the
       corresponding Neighbor Tuple and has L_out_metric = N_out_metric.
       This is defined as the selected Link Tuple for this Neighbor
       Tuple.

   4.  For each network address (N_orig_addr or in N_neighbor_addr_list,
       the "neighbor address") from a Neighbor Tuple with N_symmetric =
       true, select a Link Tuple (the "selected Link Tuple") from those
       for which this is the corresponding Neighbor Tuple, have L_status
       = SYMMETRIC, and have L_out_metric = N_out_metric, by:

       1.  If there is such a Link Tuple whose
           L_neighbor_iface_addr_list contains the neighbor address,
           select that Link Tuple.

       2.  Otherwise select the selected Link Tuple for this Neighbor
           Tuple.

       Then for this neighbor address:

       3.  The selected local address is defined as the selected local
           address for the selected Link Tuple.





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       4.  The selected link address is defined as an address from the
           L_neighbor_iface_addr_list of the selected Link Tuple, if
           possible equal to this neighbor address.

   5.  Routing Tuple preference is decided by preference for minimum
       R_dist, and then for preference for corresponding Neighbor Tuples
       in this order:

       *  For greater N_willingness.

       *  For N_mpr_selector = true over N_mpr_selector = false.

       Note that preferred Routing Tuples SHOULD be used.  Routing
       Tuples with minimum R_metric MUST be used, this is specified
       outside the definition of preference.  An implementation MAY
       modify this definition of preference without otherwise affecting
       this algorithm.

C.2.  Add Neighbor Routers

   The following procedure is executed once.

   1.  For each Neighbor Tuple with N_symmetric = true, add a Routing
       Tuple with:

       *  R_dest_addr := N_orig_addr;

       *  R_next_iface_addr := selected link address for N_orig_addr;

       *  R_local_iface_addr := selected local address for N_orig_addr;

       *  R_metric := N_out_metric;

       *  R_dist := 1.

C.3.  Add Remote Routers

   The following procedure is executed for each value of h, starting
   with h := 1 and incrementing by 1 for each iteration.  The execution
   MUST stop if no Routing Tuples are added or modified in an iteration.

   1.  For each Router Topology Tuple, if:

       *  TR_from_orig_addr is equal to the R_dest_addr of a Routing
          Tuple with R_dist = h (the "previous Routing Tuple"),

       then consider the candidate Routing Tuple with:




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       *  R_dest_addr := TR_to_orig_addr;

       *  R_next_iface_addr := R_next_iface_addr of the previous Routing
          Tuple;

       *  R_local_iface_addr := R_local_iface_addr of the previous
          Routing Tuple;

       *  R_metric := R_metric of the previous Routing Tuple +
          TR_metric;

       *  R_dist := h+1.

       This candidate Routing Tuple MUST be added to the Routing Set if
       there is no existing Routing Tuple with the same R_dest_addr.
       Otherwise this candidate Routing Tuple MUST replace the existing
       Routing Tuple with the same R_dest_addr if this candidate Routing
       Tuple has a smaller R_metric, this candidate Routing Tuple SHOULD
       replace the existing Routing Tuple with the same R_dest_addr if
       this candidate Routing Tuple has an equal R_metric and is
       preferred to the existing Routing Tuple.

C.4.  Add Neighbor Addresses

   The following procedure is executed once.

   1.  For each Neighbor Tuple with N_symmetric = true:

       1.  For each network address (the "neighbor address") in
           N_neighbor_addr_list, if the neighbor address is not equal to
           the R_dest_addr of any Routing Tuple, then add a new Routing
           Tuple, with:

           +  R_dest_addr := neighbor address;

           +  R_next_iface_addr := selected link address for the
              neighbor address;

           +  R_local_iface_addr := selected local address for the
              neighbor address;

           +  R_metric := N_out_metric;

           +  R_dist := 1.







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C.5.  Add Remote Routable Addresses

   The following procedure is executed once.

   1.  For each Routable Address Topology Tuple, if:

       *  TA_dest_addr is not equal to the R_dest_addr of any Routing
          Tuple added in an earlier stage, AND;

       *  TA_from_orig_addr is equal to the R_dest_addr of a Routing
          Tuple (the "previous Routing Tuple"),

       then add a new Routing Tuple, with:

       *  R_dest_addr := TA_dest_addr;

       *  R_next_iface_addr := R_next_iface_addr of the previous Routing
          Tuple;

       *  R_local_iface_addr := R_local_iface_addr of the previous
          Routing Tuple;

       *  R_metric := R_metric of the previous Routing Tuple +
          TA_metric.

       *  R_dist := R_dist of the previous Routing Tuple + 1.

       There may be more than one Routing Tuple that may be added for an
       R_dest_addr in this stage.  If so, then, for each such
       R_dest_addr, a Routing Tuple with minimum R_metric MUST be
       selected, otherwise a Routing Tuple which is preferred SHOULD be
       added.

C.6.  Add Attached Networks

   The following procedure is executed once.

   1.  For each Attached Network Tuple, if:

       *  AN_net_addr is not equal to the R_dest_addr of any Routing
          Tuple added in an earlier stage, AND;

       *  AN_orig_addr is equal to the R_dest_addr of a Routing Tuple
          (the "previous Routing Tuple),

       then add a new Routing Tuple, with:





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       *  R_dest_addr := AN_net_addr;

       *  R_next_iface_addr := R_next_iface_addr of the previous Routing
          Tuple;

       *  R_local_iface_addr := R_local_iface_addr of the previous
          Routing Tuple;

       *  R_metric := R_metric of the previous Routing Tuple +
          AN_metric;

       *  R_dist := R_dist of the previous Routing Tuple + AN_dist.

       There may be more than one Routing Tuple that may be added for an
       R_dest_addr in this stage.  If so, then, for each such
       R_dest_addr, a Routing Tuple with minimum R_metric MUST be
       selected, otherwise a Routing Tuple which is preferred SHOULD be
       added.

C.7.  Add 2-Hop Neighbors

   The following procedure is executed once.

   1.  For each 2-Hop Tuple, if:

       *  N2_2hop_addr is a routable address, AND;

       *  N2_2hop_addr is not equal to the R_dest_addr of any Routing
          Tuple added in an earlier stage, AND;

       *  the Routing Tuple with R_dest_addr = N_orig_addr of the
          corresponding Neighbor Tuple (the "previous Routing Tuple")
          has R_dist = 1,

       then add a new Routing Tuple, with:

       *  R_dest_addr := N2_2hop_addr;

       *  R_next_iface_addr := R_next_iface_addr of the previous Routing
          Tuple;

       *  R_local_iface_addr := R_local_iface_addr of the previous
          Routing Tuple;

       *  R_metric := R_metric of the previous Routing Tuple +
          N_out_metric of the corresponding Neighbor Tuple;





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       *  R_dist := 2.

       There may be more than one Routing Tuple that may be added for an
       R_dest_addr in this stage.  If so, then, for each such
       R_dest_addr, a Routing Tuple with minimum R_metric MUST be
       selected, otherwise a Routing Tuple which is preferred SHOULD be
       added.












































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Appendix D.  Constraints

   The constraints specified in [OLSRv2] must be updated to match
   modifications to the Information Bases.  These constraint
   modifications are as described in this appendix.

   In each Local Attached Network Tuple:

   o  AL_metric MUST be representable as the value of a LINK_METRIC TLV
      (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).

   In each Link Tuple:

   o  If L_status is HEARD or SYMMETRIC then L_in_metric MUST be
      representable as the value of a LINK_METRIC TLV (hence MUST NOT be
      less than MINIMUM_METRIC and MUST NOT be greater than
      MAXIMUM_METRIC).

   o  If L_status is PENDING or LOST then L_in_metric MUST be considered
      to be unspecified.

   o  If L_status is SYMMETRIC then L_out_metric MUST be representable
      as the value of a LINK_METRIC TLV (hence MUST NOT be less than
      MINIMUM_METRIC and MUST NOT be greater than MAXIMUM_METRIC).

   o  If L_status is not SYMMETRIC then L_out_metric MUST be considered
      to be unspecified.

   o  If L_mpr_selector = true then the L_status MUST equal SYMMETRIC.

   In each Neighbor Tuple constraints involving N_mpr apply to both
   N_flooding_mpr and N_routing_mpr, and:

   o  If N_symmetric = true then N_in_metric MUST equal the minimum
      value of the L_in_metric values of all Link Tuples for which this
      is the corresponding Neighbor Tuple and have L_status = SYMMETRIC.
      N_in_metric MUST be unspecified if these are no such Link Tuples
      (i.e., if N_symmetric = false).

   o  If N_symmetric = true then N_out_metric MUST equal the maximum
      value of the L_out_metric values of all Link Tuples for which this
      is the corresponding Neighbor Tuple and have L_status = SYMMETRIC.
      N_out_metric MUST be unspecified if these are no such Link Tuples
      (i.e., if N_symmetric = false).

   In each 2-Hop Tuple:




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   o  N2_in_metric MUST be representable as the value of a LINK_METRIC
      TLV (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).

   o  N2_out_metric MUST be representable as the value of a LINK_METRIC
      TLV (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).

   In each Router Topology Tuple:

   o  TR_metric MUST be representable as the value of a LINK_METRIC TLV
      (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).

   In each Routable Address Topology Tuple:

   o  TA_metric MUST be representable as the value of a LINK_METRIC TLV
      (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).

   In each Attached Network Tuple:

   o  AN_metric MUST be representable as the value of a LINK_METRIC TLV
      (hence MUST NOT be less than MINIMUM_METRIC and MUST NOT be
      greater than MAXIMUM_METRIC).


























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Appendix E.  Acknowledgements

   The authors would like to thank Alan Cullen (BAE Systems) for review
   and comments, and Brian Adamson (NRL), Justin Dean (NRL), Henning
   Rogge (FGAN), Charles Perkins (WiChorus) and Stan Ratliff (Cisco) for
   discussions.













































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Authors' Addresses

   Christopher Dearlove
   BAE Systems Advanced Technology Centre

   Phone: +44 1245 242194
   EMail: chris.dearlove@baesystems.com
   URI:   http://www.baesystems.com/


   Thomas Heide Clausen
   LIX, Ecole Polytechnique, France

   Phone: +33 6 6058 9349
   EMail: T.Clausen@computer.org
   URI:   http://www.ThomasClausen.org/


   Philippe Jacquet
   INRIA, France

   Phone: +33 1 3963 5263
   EMail: Philippe.Jacquet@inria.fr
   URI:   http://hipercom.inria.fr/



























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