Network Working Group                                          A. Mankin
Request for Comments: 1254                                         MITRE
                                                        K. Ramakrishnan
                                          Digital Equipment Corporation
                                                                Editors
                                                            August 1991


                  Gateway Congestion Control Survey

Status of this Memo

  This memo provides information for the Internet community.  It is a
  survey of some of the major directions and issues.  It does not
  specify an Internet standard.  Distribution of this memo is
  unlimited.

Abstract

  The growth of network intensive Internet applications has made
  gateway congestion control a high priority.  The IETF Performance and
  Congestion Control Working Group surveyed and reviewed gateway
  congestion control and avoidance approaches.  The purpose of this
  paper is to present our review of the congestion control approaches,
  as a way of encouraging new discussion and experimentation.  Included
  in the survey are Source Quench, Random Drop, Congestion Indication
  (DEC Bit), and Fair Queueing.  The task remains for Internet
  implementors to determine and agree on the most effective mechanisms
  for controlling gateway congestion.

1.  Introduction

  Internet users regularly encounter congestion, often in mild forms.
  However, severe congestion episodes have been reported also; and
  gateway congestion remains an obstacle for Internet applications such
  as scientific supercomputing data transfer.  The need for Internet
  congestion control originally became apparent during several periods
  of 1986 and 1987, when the Internet experienced the "congestion
  collapse" condition predicted by Nagle [Nag84].  A large number of
  widely dispersed Internet sites experienced simultaneous slowdown or
  cessation of networking services for prolonged periods.  BBN, the
  firm responsible for maintaining the then backbone of the Internet,
  the ARPANET, responded to the collapse by adding link capacity
  [Gar87].

  Much of the Internet now uses as a transmission backbone the National
  Science Foundation Network (NSFNET). Extensive monitoring and
  capacity planning are being done for the NSFNET backbone; still, as



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  the demand for this capacity grows, and as resource-intensive
  applications such as wide-area file system management [Sp89]
  increasingly use the backbone, effective congestion control policies
  will be a critical requirement.

  Only a few mechanisms currently exist in Internet hosts and gateways
  to avoid or control congestion.  The mechanisms for handling
  congestion set forth in the specifications for the DoD Internet
  protocols are limited to:

     Window flow control in TCP [Pos81b], intended primarily for
     controlling the demand on the receiver's capacity, both in terms
     of processing and buffers.

     Source quench in ICMP, the message sent by IP to request that a
     sender throttle back [Pos81a].

  One approach to enhancing Internet congestion control has been to
  overlay the simple existing mechanisms in TCP and ICMP with more
  powerful ones.  Since 1987, the TCP congestion control policy, Slow-
  start, a collection of several algorithms developed by Van Jacobson
  and Mike Karels [Jac88], has been widely adopted. Successful Internet
  experiences with Slow-start led to the Host Requirements RFC [HREQ89]
  classifying the algorithms as mandatory for TCP.  Slow-start modifies
  the user's demand when congestion reaches such a point that packets
  are dropped at the gateway.  By the time such overflows occur, the
  gateway is congested.  Jacobson writes that the Slow-start policy is
  intended to function best with a complementary gateway policy
  [Jac88].

1.1  Definitions

  The characteristics of the Internet that we are interested in include
  that it is, in general, an arbitrary mesh-connected network.  The
  internetwork protocol is connectionless.  The number of users that
  place demands on the network is not limited by any explicit
  mechanism; no reservation of resources occurs and transport layer
  set-ups are not disallowed due to lack of resources.  A path from a
  source to destination host may have multiple hops, through several
  gateways and links.  Paths through the Internet may be heterogeneous
  (though homogeneous paths also exist and experience congestion).
  That is, links may be of different speeds.  Also, the gateways and
  hosts may be of different speeds or may be providing only a part of
  their processing power to communication-related activity.  The
  buffers for storing information flowing through Internet gateways are
  finite.  The nature of the internet protocol is to drop packets when
  these buffers overflow.




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  Gateway congestion arises when the demand for one or more of the
  resources of the gateway exceeds the capacity of that resource.  The
  resources include transmission links, processing, and space used for
  buffering.  Operationally, uncongested gateways operate with little
  queueing on average, where the queue is the waiting line for a
  particular resource of the gateway.  One commonly used quantitative
  definition [Kle79] for when a resource is congested is when the
  operating point is greater than the point at which resource power is
  maximum, where resource power is defined as the ratio of throughput
  to delay (See Section 2.2).  At this operating point, the average
  queue size is close to one, including the packet in service.  Note
  that this is a long-term average queue size.  Several definitions
  exist for the timescale of averaging for congestion detection and
  control, such as dominant round-trip time and queue regeneration
  cycle (see Section 2.1).

  Mechanisms for handling congestion may be divided into two
  categories, congestion recovery and congestion avoidance.  Congestion
  recovery tries to restore an operating state, when demand has already
  exceeded capacity.  Congestion avoidance is preventive in nature.  It
  tries to keep the demand on the network at or near the point of
  maximum power, so that congestion never occurs.  Without congestion
  recovery, the network may cease to operate entirely (zero
  throughput), whereas the Internet has been operating without
  congestion avoidance for a long time.  Overall performance may
  improve with an effective congestion avoidance mechanism.  Even if
  effective congestion avoidance was in place, congestion recovery
  schemes would still be required, to retain throughput in the face of
  sudden changes (increase of demand, loss of resources) that can lead
  to congestion.

  In this paper, the term "user" refers to each individual transport
  (TCP or another transport protocol) entity.  For example, a TCP
  connection is a "user" in this terminology.  The terms "flow" and
  "stream" are used by some authors in the same sense.  Some of the
  congestion control policies discussed in this paper, such as
  Selective Feedback Congestion Indication and Fair Queueing aggregate
  multiple TCP connections from a single host (or between a source
  host-destination host pair) as a virtual user.

  The term "cooperating transport entities" will be defined as a set of
  TCP connections (for example) which follow an effective method of
  adjusting their demand on the Internet in response to congestion.
  The most restrictive interpretation of this term is that the
  transport entities follow identical algorithms for congestion control
  and avoidance.  However, there may be some variation in these
  algorithms.  The extent to which heterogeneous end-system congestion
  control and avoidance may be accommodated by gateway policies should



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  be a subject of future research. The role played in Internet
  performance of non-cooperating transport entities is discussed in
  Section 5.

1.2  Goals and Scope of This Paper

  The task remains for Internet implementors to determine effective
  mechanisms for controlling gateway congestion.  There has been
  minimal common practice on which to base recommendations for Internet
  gateway congestion control.  In this survey, we describe the
  characteristics of one experimental gateway congestion management
  policy, Random Drop, and several that are better-known:  Source
  Quench, Congestion Indication, Selective Feedback Congestion
  Indication, and Fair Queueing, both Bit-Round and Stochastic.  A
  motivation for documenting Random Drop is that it has as primary
  goals low overhead and suitability for scaling up for Internets with
  higher speed links.  Both of these are important goals for future
  gateway implementations that will have fast links, fast processors,
  and will have to serve large numbers of interconnected hosts.

  The structure of this paper is as follows.  First, we discuss
  performance goals, including timescale and fairness considerations.
  Second, we discuss the gateway congestion control policies.  Random
  Drop is sketched out, with a recommendation for using it for
  congestion recovery and a separate section on its use as congestion
  avoidance.  Third, since gateway congestion control in itself does
  not change the end-systems' demand, we briefly present the effective
  responses to these policies by two end-system congestion control
  schemes, Slow-start and End-System Congestion Indication.  Among our
  conclusions, we address the issues of transport entities that do not
  cooperate with gateway congestion control.  As an appendix, because
  of the potential interactions with gateway congestion policies, we
  report on a scheme to help in controlling the performance of Internet
  gateways to connection-oriented subnets (in particular, X.25).

  Resources in the current Internet are not charged to users of them.
  Congestion avoidance techniques cannot be expected to help when users
  increase beyond the capacity of the underlying facilities.  There are
  two possible solutions for this, increase the facilities and
  available bandwidth, or forcibly reduce the demand.  When congestion
  is persistent despite implemented congestion control mechanisms,
  administrative responses are needed.  These are naturally not within
  the scope of this paper.  Also outside the scope of this paper are
  routing techniques that may be used to relocate demand away from
  congested individual resources (e.g., path-splitting and load-
  balancing).





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2.  Performance Goals

  To be able to discuss design and use of various mechanisms for
  improving Internetwork performance, we need to have clear performance
  goals for the operation of gateways and sets of end-systems.
  Internet experience shows that congestion control should be based on
  adaptive principles; this requires efficient computation of metrics
  by algorithms for congestion control.  The first issue is that of the
  interval over which these metrics are estimated and/or measured.

2.1  Interval for Measurement/Estimation of Performance Metrics

  Network performance metrics may be distorted if they are computed
  over intervals that are too short or too long relative to the dynamic
  characteristics of the network.  For instance, within a small
  interval, two FTP users with equal paths may appear to have sharply
  different demands, as an effect of brief, transient fluctuations in
  their respective processing.  An overly long averaging interval
  results in distortions because of the changing number of users
  sharing the resource measured during the time.  It is similarly
  important for congestion control mechanisms exerted at end systems to
  find an appropriate interval for control.

  The first approach to the monitoring, or averaging, interval for
  congestion control is one based on round-trip times.  The rationale
  for it is as follows:  control mechanisms must adapt to changes in
  Internet congestion as quickly as possible.  Even on an uncongested
  path, changed conditions will not be detected by the sender faster
  than a round-trip time.  The effect of a sending end-system's control
  will also not be seen in less than a round-trip time in the entire
  path as well as at the end systems.  For the control mechanism to be
  adaptive, new information on the path is needed before making a
  modification to the control exerted.  The statistics and metrics used
  in congestion control must be able to provide information to the
  control mechanism so that it can make an informed decision.
  Transient information which may be obsolete before a change is made
  by the end-system should be avoided.  This implies the
  monitoring/estimating interval is one lasting one or more round
  trips.  The requirements described here give bounds on:

     How short an interval:  not small enough that obsolete information
     is used for control;

     How long:  not more than the period at which the end-system makes
     changes.

  But, from the point of view of the gateway congestion control policy,
  what is a round-trip time?  If all the users of a given gateway have



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  the same path through the Internet, they also have the same round-
  trip time through the gateway.  But this is rarely the case.

  A meaningful interval must be found for users with both short and
  long paths. Two approaches have been suggested for estimating this
  dynamically, queue regeneration cycle and frequency analysis.

  Use of the queue regeneration cycle has been described as part of the
  Congestion Indication policy.  The time period used for averaging
  here begins when a resource goes from the idle to busy state.  The
  basic interval for averaging is a "regeneration cycle" which is in
  the form of busy and idle intervals.  Because an average based on a
  single previous regeneration may become old information, the
  recommendation in [JRC87] is to average over the sum of two
  intervals, that is, the previous (busy and idle) period, and the time
  since the beginning of the current busy period.

  If the gateway users are window-based transport entities, it is
  possible to see how the regeneration interval responds to their
  round-trip times.  If a user with a long round-trip time has the
  dominant traffic, the queue length may be zero only when that user is
  awaiting acknowledgements.  Then the users with short paths will
  receive gateway congestion information that is averaged over several
  of their round-trip times.  If the short path traffic dominates the
  activity in the gateway, i.e., the connections with shorter round-
  trip times are the dominant users of the gateway resources, then the
  regeneration interval is shorter and the information communicated to
  them can be more timely. In this case, users with longer paths
  receive, in one of their round-trip times, multiple samples of the
  dominant traffic; the end system averaging is based on individual
  user's intervals, so that these multiple samples are integrated
  appropriately for these connections with longer paths.

  The use of frequency analysis has been described by [Jac89]. In this
  approach, the gateway congestion control is done at intervals based
  on spectral analysis of the traffic arrivals.  It is possible for
  users to have round-trip times close to each other, but be out of
  phase from each other. A spectral analysis algorithm detects this.
  Otherwise, if multiple round-trip times are significant, multiple
  intervals will be identified.  Either one of these will be
  predominant, or several will be comparable. An as yet difficult
  problem for the design of algorithms accomplishing this technique is
  the likelihood of "locking" to the frequency of periodic traffic of
  low intensity, such as routing updates.







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2.2  Power and its Relationship to the Operating Point

  Performance goals for a congestion control/avoidance strategy embody
  a conflict in that they call for as high a throughput as possible,
  with as little delay as possible.  A measure that is often used to
  reflect the tradeoff between these goals is power, the ratio of
  throughput to delay.  We would like to maximize the value of power
  for a given resource.  In the standard expression for power,

    Power = (Throughput^alpha)/Delay

  the exponent alpha is chosen for throughput, based on the relative
  emphasis placed on throughput versus delay: if throughput is more
  important, then a value of A alpha greater than one is chosen.  If
  throughput and delay are equally important (e.g., both bulk transfer
  traffic and interactive traffic are equally important), then alpha
  equal to one is chosen. The operating point where power is maximized
  is the "knee" in the throughput and delay curves.  It is desirable
  that the operating point of the resource be driven towards the knee,
  where power is maximized.  A useful property of power is that it is
  decreasing whether the resource is under- or over-utilized relative
  to the knee.

  In an internetwork comprising nodes and links of diverse speeds and
  utilization, bottlenecks or concentrations of demand may form.  Any
  particular user can see a single bottleneck, which is the slowest or
  busiest link or gateway in the path (or possibly identical "balanced"
  bottlenecks).  The throughput that the path can sustain is limited by
  the bottleneck.  The delay for packets through a particular path is
  determined by the service times and queueing at each individual hop.
  The queueing delay is dominated by the queueing at the bottleneck
  resource(s).  The contribution to the delay over other hops is
  primarily the service time, although the propagation delay over
  certain hops, such as a satellite link, can be significant.  We would
  like to operate all shared resources at their knee and maximize the
  power of every user's bottleneck.

  The above goal underscores the significance of gateway congestion
  control.  If techniques can be found to operate gateways at their
  resource knee, it can improve Internet performance broadly.

2.3  Fairness

  We would like gateways to allocate resources fairly to users.  A
  concept of fairness is only relevant when multiple users share a
  gateway and their total demand is greater than its capacity.  If
  demands were equal, a fair allocation of the resource would be to
  provide an equal share to each user.  But even over short intervals,



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  demands are not equal.  Identifying the fair share of the resource
  for the user becomes hard.  Having identified it, it is desirable to
  allocate at least this fair share to each user.  However, not all
  users may take advantage of this allocation.  The unused capacity can
  be given to other users.  The resulting final allocation is termed a
  maximally fair allocation.  [RJC87] gives a quantitative method for
  comparing the allocation by a given policy to the maximally fair
  allocation.

  It is known that the Internet environment has heterogeneous transport
  entities, which do not follow the same congestion control policies
  (our definition of cooperating transports). Then, the controls given
  by a gateway may not affect all users and the congestion control
  policy may have unequal effects.  Is "fairness" obtainable in such a
  heterogeneous community?  In Fair Queueing, transport entities with
  differing congestion control policies can be insulated from each
  other and each given a set share of gateway bandwidth.

  It is important to realize that since Internet gateways cannot refuse
  new users, fairness in gateway congestion control can lead to all
  users receiving small (sub-divided) amounts of the gateway resources
  inadequate to meet their performance requirements.  None of the
  policies described in this paper currently addresses this.  Then,
  there may be policy reasons for unequal allocation of the gateway
  resources.  This has been addressed by Bit-Round Fair Queueing.

2.4  Network Management

  Network performance goals may be assessed by measurements in either
  the end-system or gateway frame of reference.  Performance goals are
  often resource-centered and the measurement of the global performance
  of "the network," is not only difficult to measure but is also
  difficult to define.  Resource-centered metrics are more easily
  obtained, and do not require synchronization.  That resource-centered
  metrics are appropriate ones for use in optimization of power is
  shown by [Jaf81].

  It would be valuable for the goal of developing effective gateway
  congestion handling if Management Information Base (MIB) objects
  useful for evaluating gateway congestion were developed.  The
  reflections on the control interval described above should be applied
  when network management applications are designed for this purpose.
  In particular, obtaining an instantaneous queue length from the
  managed gateway is not meaningful for the purposes of congestion
  management.






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3.  Gateway Congestion Control Policies

  There have been proposed a handful of approaches to dealing with
  congestion in the gateway. Some of these are Source Quench, Random
  Drop, Congestion Indication, Selective Feedback Congestion
  Indication, Fair Queueing, and Bit-Round Fair Queueing.  They differ
  in whether they use a control message, and indeed, whether they view
  control of the end-systems as necessary, but none of them in itself
  lowers the demand of users and consequent load on the network.  End-
  system policies that reduce demand in conjunction with gateway
  congestion control are described in Section 4.

3.1  Source Quench

  The method of gateway congestion control currently used in the
  Internet is the Source Quench message of the RFC-792 [Pos81a]
  Internet Control Message Protocol (ICMP). When a gateway responds to
  congestion by dropping datagrams, it may send an ICMP Source Quench
  message to the source of the dropped datagram.  This is a congestion
  recovery policy.

  The Gateway Requirements RFC, RFC-1009 [GREQ87], specifies that
  gateways should only send Source Quench messages with a limited
  frequency, to conserve CPU resources during the time of heavy load.
  We note that operating the gateway for long periods under such loaded
  conditions should be averted by a gateway congestion control policy.
  A revised Gateway Requirements RFC is being prepared by the IETF.

  Another significant drawback of the Source Quench policy is that its
  details are discretionary, or, alternatively, that the policy is
  really a family of varied policies.  Major Internet gateway
  manufacturers have implemented a variety of source quench
  frequencies.  It is impossible for the end-system user on receiving a
  Source Quench to be certain of the circumstances in which it was
  issued.  This makes the needed end-system response problematic:  is
  the Source Quench an indication of heavy congestion, approaching
  congestion, a burst causing massive overload, or a burst slightly
  exceeding reasonable load?

  To the extent that gateways drop the last arrived datagram on
  overload, Source Quench messages may be distributed unfairly.  This
  is because the position at the end of the queue may be unfairly often
  occupied by the packets of low demand, intermittent users, since
  these do not send regular bursts of packets that can preempt most of
  the queue space.

  [Fin89] developed algorithms for when to issue Source Quench and for
  responding to it with a rate-reduction in the IP layer on the sending



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  host.  The system controls end-to-end performance of connections in a
  manner similar to the congestion avoidance portion of Slow-start TCP
  [Jac88].

3.2  Random Drop

  Random Drop is a gateway congestion control policy intended to give
  feedback to users whose traffic congests the gateway by dropping
  packets on a statistical basis.  The key to this policy is the
  hypothesis that a packet randomly selected from all incoming traffic
  will belong to a particular user with a probability proportional to
  the average rate of transmission of that user.  Dropping a randomly
  selected  packet results in users which generate much traffic having
  a greater number of packets dropped compared with those generating
  little traffic.  The selection of packets to be dropped is completely
  uniform.  Therefore, a user who generates traffic of an amount below
  the "fair share" (as defined in Section 2.3) may also experience a
  small amount of packet loss at a congested gateway. This character of
  uniformity is in fact a primary goal that Random Drop attempts to
  achieve.

  The other primary goal that Random Drop attempts to achieve is a
  theoretical overhead which is scaled to the number of shared
  resources in the gateway rather than the number of its users.  If a
  gateway congestion algorithm has more computation the more users
  there are, this can lead to processing demands that are higher as
  congestion increases.  Also the low-overhead goal of Random Drop
  addresses concerns about the scale of gateway processing that will be
  required in the mid-term Internet as gateways with fast processors
  and links are shared by very large active sets of users.

3.2.1  For Congestion Recovery

  Random Drop has been proposed as an improvement to packet dropping at
  the operating point where the gateway's packet buffers overflow.
  This is using Random Drop strictly as a congestion recovery
  mechanism.

  In Random Drop congestion recovery, instead of dropping the last
  packet to arrive at the queue, a packet is selected randomly from the
  queue.  Measurements of an implementation of Random Drop Congestion
  Recovery [Man90] showed that a user with a low demand, due to a
  longer round-trip time path than other users of the gateway, had a
  higher drop rate with RDCR than without.  The throughput accorded to
  users with the same round-trip time paths was nearly equal with RDCR
  as compared to without it.  These results suggest that RDCR should be
  avoided unless it is used within a scheme that groups traffic more or
  less by round-trip time.



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3.2.2  For Congestion Avoidance

  Random Drop is also proposed as a congestion avoidance policy
  [Jac89].  The intent is to initiate dropping packets when the gateway
  is anticipated to become congested and remain so unless there is some
  control exercised.  This  implies  selection  of  incoming packets to
  be randomly dropped at a rate derived from identifying the level of
  congestion at the gateway.  The rate is the number of arrivals
  allowed between drops. It depends on the current operating point and
  the prediction of congestion.

  A part of the policy is to determine that congestion will soon occur
  and that the gateway is beginning to operate beyond the knee of the
  power curve.  With a suitably chosen interval (Section 2.1), the
  number of packets from each individual user in a sample over that
  interval is proportional to each user's demand on the gateway.  Then,
  dropping one or more random packets indicates to some user(s) the
  need to reduce the level of demand that is driving the gateway beyond
  the desired operating point.  This is the goal that a policy of
  Random Drop for congestion avoidance attempts to achieve.

  There are several parameters to be determined for a Random Drop
  congestion avoidance policy. The first is an interval, in terms of
  number of packet arrivals, over which packets are dropped with
  uniform probability.  For instance, in a sample implementation, if
  this interval spanned 2000 packet arrivals, and a suitable
  probability of drop was 0.001, then two random variables would be
  drawn in a uniform distribution in the range of 1 to 2,000.  The
  values drawn would be used by counting to select the packets dropped
  at arrival.  The second parameter is the value for the probability of
  drop.  This parameter would be a function of an estimate of the
  number of users, their appropriate control intervals, and possibly
  the length of time that congestion has persisted.  [Jac89] has
  suggested successively increasing the probability of drop when
  congestion persists over multiple control intervals.  The motivation
  for increasing the packet drop probability is that the implicit
  estimate of the number of users and random selection of their packets
  to drop does not guarantee that all users have received enough
  signals to decrease demand.  Increasing the probability of drop
  increases the probability that enough feedback is provided.
  Congestion detection is also needed in Random Drop congestion
  avoidance, and could be implemented in a variety of ways.  The
  simplest is a static threshold, but dynamically averaged measures of
  demand or utilization are suggested.

  The packets dropped in Random Drop congestion avoidance would not be
  from the initial inputs to the gateway.  We suggest that they would
  be selected only from packets destined for the resource which is



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  predicted to be approaching congestion.  For example, in the case of
  a gateway with multiple outbound links, access to each individual
  link is treated as a separate resource, the Random Drop policy is
  applied at each link independently.  Random Drop congestion avoidance
  would provide uniform treatment of all cooperating transport users,
  even over individual patterns of traffic multiplexed within one
  user's stream.  There is no aggregation of users.

  Simulation studies [Zha89], [Has90] have presented evidence that
  Random Drop is not fair across cooperating and non-cooperating
  transport users.  A transport user whose sending policies included
  Go-Back-N retransmissions and did not include Slow-start received an
  excessive share of bandwidth from a simple implementation of Random
  Drop.  The simultaneously active Slow-start users received unfairly
  low shares.  Considering this, it can be seen that when users do not
  respond to control, over a prolonged period, the Random Drop
  congestion avoidance mechanism would have an increased probability of
  penalizing users with lower demand.  Their packets dropped, these
  users exert the controls leading to their giving up bandwidth.

  Another problem can be seen to arise in Random Drop [She89] across
  users whose communication paths are of different lengths.  If the
  path spans congested resources at multiple gateways, then the user's
  probability of receiving an unfair drop and subsequent control (if
  cooperating) is exponentially increased.  This is a significant
  scaling problem.

  Unequal paths cause problems for other congestion avoidance policies
  as well.  Selective Feedback Congestion Indication was devised to
  enhance Congestion Indication specifically because of the problem of
  unequal paths.  In Fair Queueing by source-destination pairs, each
  path gets its own queue in all the gateways.

3.3  Congestion Indication

  The Congestion Indication policy is often referred to as the DEC Bit
  policy. It was developed at DEC [JRC87], originally for the Digital
  Network Architecture (DNA).  It has also been specified for the
  congestion avoidance of the ISO protocols TP4 and CLNP [NIST88].
  Like Source Quench, it uses explicit communications from the
  congested gateway to the user.  However, to use the lowest possible
  network resources for indicating congestion, the information is
  communicated in a single bit, the Congestion Experienced Bit, set in
  the network header of the packets already being forwarded by a
  gateway.  Based on the condition of this bit, the end-system user
  makes an adjustment to the sending window. In the NSP transport
  protocol of DECNET, the source makes an adjustment to its window; in
  the ISO transport protocol, TP4, the destination makes this



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  adjustment in the window offered to the sender.

  This policy attempts to avoid congestion by setting the bit whenever
  the average queue length over the previous queue regeneration cycle
  plus part of the current cycle is one or more.  The feedback is
  determined independently at each resource.

3.4  Selective Feedback Congestion Indication

  The simple Congestion Indication policy works based upon the total
  demand on the gateway.  The total number of users or the fact that
  only a few of the users might be causing congestion is not
  considered.  For fairness, only those users who are sending more than
  their fair share should be asked to reduce their load, while others
  could attempt to increase where possible.  In Selective Feedback
  Congestion Indication, the Congestion Experienced Bit is used to
  carry out this goal.

  Selective Feedback works by keeping a count of the number of packets
  sent by different users since the beginning of the queue averaging
  interval.  This is equivalent to monitoring their throughputs. Based
  on the total throughput, a fair share for each user is determined and
  the congestion bit is set, when congestion approaches, for the users
  whose demand is higher than their fair share.  If the gateway is
  operating below the throughput-delay knee, congestion indications are
  not set.

  A min-max algorithm used to determine the fair share of capacity and
  other details of this policy are described in [RJC87].  One parameter
  to be computed is the capacity of each resource to be divided among
  the users.  This metric depends on the distribution of inter-arrival
  times and packet sizes of the users.  Attempting to determine these
  in real time in the gateway is unacceptable.  The capacity is instead
  estimated from on the throughput seen when the gateway is operating
  in congestion, as indicated by the average queue length.  In
  congestion (above the knee), the service rate of the gateway limits
  its throughput.  Multiplying the throughput obtained at this
  operating point by a capacity factor (between 0.5 and 0.9) to adjust
  for the distributions yields an acceptable capacity estimate in
  simulations.

  Selective Feedback Congestion Indication takes as input a vector of
  the number of packets sent by each source-destination pair of end-
  systems.  Other alternatives include 1) destination address, 2)
  input/output link, and 3) transport connection (source/destination
  addresses and ports).

  These alternatives give different granularities for fairness.  In the



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  case where paths are the same or round-trip times of users are close
  together, throughputs are equalized similarly by basing the selective
  feedback on source or destination address.  In fact, if the RTTs are
  close enough, the simple congestion indication policy would result in
  a fair allocation.  Counts based on source/destination pairs ensure
  that paths with different lengths and network conditions get a fair
  throughput at the individual gateways.  Counting packets based on
  link pairs has a low overhead, but may result in unfairness to users
  whose demand is below the fair share and are using a long path.
  Counts based on transport layer connection identifiers, if this
  information was available to Internet gateways, would make good
  distinctions, since the differences of demand of different
  applications and instances of applications would be separately
  monitored.

  Problems with Selective Feedback Congestion Indication include that
  the gateway has significant processing to do.  With the feasible
  choice of aggregation at the gateway, unfairness across users within
  the group is likely.  For example, an interactive connection
  aggregated with one or more bulk transfer connections will receive
  congestion indications though its own use of the gateway resources is
  very low.

3.5  Fair Queueing

  Fair Queueing is the policy of maintaining separate gateway output
  queues for individual end-systems by source-destination pair.  In the
  policy as proposed by [Nag85], the gateway's processing and link
  resources are distributed to the end-systems on a round-robin basis.
  On congestion, packets are dropped from the longest queue.  This
  policy leads to equal allocations of resources to each source-
  destination pair.  A source-destination pair that demands more than a
  fair share simply increases its own queueing delay and congestion
  drops.

3.5.1  Bit-Round Fair Queueing

  An enhancement of Nagle Fair Queueing, the Bit-Round Fair Queuing
  algorithm described and simulated by [DKS89] addresses several
  shortcomings of Nagle's scheme. It computes the order of service to
  packets using their lengths, with a technique that emulates a bit-
  by-bit round-robin discipline, so that long packets do not get an
  advantage over short ones.  Otherwise the round-robin would be
  unfair, for example, giving more bandwidth to hosts whose traffic is
  mainly long packets than to hosts sourcing short packets.

  The aggregation of users of a source-destination pair by Fair
  Queueing has the property of grouping the users whose round-trips are



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  similar. This may be one reason that the combination of Bit-Round
  Fair Queueing with Congestion Indication had particularly good
  simulated performance in [DKS89].

  The aggregation of users has the expected drawbacks, as well.  A
  TELNET user in a queue with an FTP user does not get delay benefits;
  and host pairs with high volume of connections get treated the same
  as a host pair with small number of connections and as a result gets
  unfair services.

  A problem can be mentioned about Fair Queueing, though it is related
  to implementation, and perhaps not properly part of a policy
  discussion.  This is a concern that the resources (processing) used
  for determining where to queue incoming packets would themselves be
  subject to congestion, but not to the benefits of the Fair Queuing
  discipline.  In a situation where the gateway processor was not
  adequate to the demands on it, the gateway would need an alternative
  policy for congestion control of the queue awaiting processing.
  Clever implementation can probably find an efficient way to route
  packets to the queues they belong in before other input processing is
  done, so that processing resources can be controlled, too.  There is
  in addition, the concern that bit-by-bit round FQ requires non-FCFS
  queueing even within the same source destination pairs to allow for
  fairness to different connections between these end systems.

  Another potential concern about Fair Queueing is whether it can scale
  up to gateways with very large source-destination populations.  For
  example, the state in a Fair Queueing implementation scales with the
  number of active end-to-end paths, which will be high in backbone
  gateways.

3.5.2  Stochastic Fairness Queuing

  Stochastic Fairness Queueing (SFQ) has been suggested as a technique
  [McK90] to address the implementation issues relating to Fair
  Queueing.  The first overhead that is reduced is that of looking up
  the source-destination address pair in an incoming packet and
  determining which queue that packet will have to be placed in.  SFQ
  does not require as many memory accesses as Fair Queueing to place
  the packet in the appropriate queue.  SFQ is thus claimed to be more
  amenable to implementation for high-speed networks [McK90].

  SFQ uses a simple hash function to map from the source-destination
  address pair to a fixed set of queues.  Since the assignment of an
  address pair to a queue is probabilistic, there is the likelihood of
  multiple address pairs colliding and mapping to the same queue.  This
  would potentially degrade the additional fairness that is gained with
  Fairness Queueing.  If two or more address pairs collide, they would



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  continue to do so.  To deal with the situation when such a collision
  occurs, SFQ periodically perturbs the hash function so that these
  address pairs will be unlikely to collide subsequently.

  The price paid for achieving this implementation efficiency is that
  SFQ requires a potentially large number of queues (we must note
  however, that these queues may be organized orthogonally from the
  buffers in which packets are stored. The buffers themselves may be
  drawn from a common pool, and buffers in each queue organized as a
  linked list pointed to from each queue header).  For example, [McK90]
  indicates that to get good, consistent performance, we may need to
  have up to 5 to 10 times the number of active source-destination
  pairs. In a typical gateway, this may require around 1000 to 2000
  queues.

  [McK90] reports simulation results with SFQ. The particular hash
  function that is studied is using the HDLC's cyclic redundancy check
  (CRC).  The hash function is perturbed by multiplying each byte by a
  sequence number in the range 1 to 255 before applying the CRC.  The
  metric considered is the standard deviation of the number of packets
  output per source-destination pair.  A perfectly fair policy would
  have a standard deviation of zero and an unfair policy would have a
  large standard deviation.  In the example studied (which has up to 20
  source-destination (s-d) pairs going through a single overloaded
  gateway), SFQ with 1280 queues (i.e., 64 times the number of source-
  destination pairs), approaches about 3 times the standard deviation
  of Fairness Queueing.  This must be compared to a FCFS queueing
  discipline having a standard deviation which is almost 175 times the
  standard deviation of Fairness Queueing.

  It is conjectured in [McK90] that a good value for the interval in
  between perturbations of the hash function appears to be in the area
  between twice the queue flush time of the stochastic fairness queue
  and one-tenth the average conversation time between a source-
  destination pair.

  SFQ also may alleviate the anticipated scaling problems that may be
  an issue with Fair Queueing by not strictly requiring the number of
  queues equal to the possible source-destination pairs that may be
  presenting a load on a particular gateway. However, SFQ achieves this
  property by trading off some of the fairness for implementation
  efficiency.

  [McK90] examines alternative strategies for implementation of Fair
  Queueing and SFQ and estimates their complexity on common hardware
  platforms (e.g., a Motorola 68020).  It is suggested that mapping an
  IP address pair may require around 24 instructions per packet for
  Fair Queueing in the best case; in contrast SFQ requires 10



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  instructions in the worst case.  The primary source of this gain is
  that SFQ avoids a comparison of the s-d address pair on the packet to
  the identity of the queue header.  The relative benefit of SFQ over
  Fair Queueing is anticipated to be greater when the addresses are
  longer.

  SFQ offers promising implemenatation benefits.  However, the price to
  be paid in terms of having a significantly larger number of queues
  (and the consequent data structures and their management) than the
  number of s-d pairs placing a load on the gateway is a concern.  SFQ
  is also attractive in that it may be used in concert with the DEC-bit
  scheme for Selective Feedback Congestion Indication to provide
  fairness as well as congestion avoidance.

4.  END-SYSTEM CONGESTION CONTROL POLICIES

  Ideally in gateway congestion control, the end-system transport
  entities adjust (decrease) their demand in response to control
  exerted by the gateway.  Schemes have been put in practice for
  transport entities to adjust their demand dynamically in response to
  congestion feedback.  To accomplish this, in general, they call for
  the user to gradually increase demand until information is received
  that the load on the gateway is too high.  In response to this
  information, the user decreases load, then begins an exploratory
  increases again.  This cycle is repeated continuously, with the goal
  that the total demand will oscillate around the optimal level.

  We have already noted that a Slow-start connection may give up
  considerable bandwidth when sharing a gateway with aggressive
  transport entities.  There is currently no way to enforce that end-
  systems use a congestion avoidance policy, though the Host
  Requirements RFC [HR89] has defined Slow-start as mandatory for TCP.
  This adverse effect on Slow-start connections is mitigated by the
  Fair Queueing policy.  Our conclusions discuss further the
  coexistence of different end-system strategies.

  This section briefly presents two fielded transport congestion
  control and avoidance schemes, Slow-start and End-System Congestion
  Indication, and the responses by means of which they cooperate with
  gateway policies.  They both use the control paradigm described
  above.  Slow-start, as mentioned in Section 1, was developed by
  [Jac88], and widely fielded in the BSD TCP implementation.  End-
  system Congestion Indication was developed by [JRC87].  It is fielded
  in DEC's Digital Network Architecture, and has been specified as well
  for ISO TP4 [NIST88].

  Both Slow-start and End-system Congestion Indication view the
  relationship between users and gateways as a control system. They



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  have feedback and control components, the latter further broken down
  into a procedure bringing a new connection to equilibrium, and a
  procedure to maintain demand at the proper level.  They make use of
  policies for increasing and decreasing the transport sender's window
  size.  These require the sender to follow a set of self-restraining
  rules which dynamically adjust the send window whenever congestion is
  sensed.

  A predecessor of these, CUTE, developed by [Jai86], introduced the
  use of retransmission timeouts as congestion feedback.  The Slow-
  start scheme was also designed to use timeouts in the same way.  The
  End-System policies for Congestion Indication use the Congestion
  Experienced Bit delivered in the network header as the primary
  feedback, but retransmission timeouts also provoke an end-system
  congestion response.

  In reliable transport protocols like TCP and TP4, the retransmission
  timer must do its best to satisfy two conflicting goals. On one hand,
  the timer must rapidly detect lost packets. And, on the other hand,
  the timer must minimize false alarms.  Since the retransmit timer is
  used as a congestion signal in these end-system policies, it is all
  the more important that timeouts reliably correspond to packet drops.
  One important rule for retransmission is to avoid bad sampling in the
  measurements that will be used in estimating the round-trip delay.
  [KP87] describes techniques to ensure accurate sampling.  The Host
  Requirements RFC [HR89] makes these techniques mandatory for TCP.

  The utilization of a resource can be defined as the ratio of its
  average arrival rate to its mean service rate. This metric varies
  between 0 and 1.0. In a state of congestion, one or more resources
  (link, gateway buffer, gateway CPU) has a utilization approaching
  1.0.  The average delay (round trip time) and its variance approach
  infinity. Therefore, as the utilization of a network increases, it
  becomes increasingly important to take into account the variance of
  the round trip time in estimating it for the retransmission timeout.

  The TCP retransmission timer is based on an estimate of the round
  trip time.  [Jac88] calls the round trip time estimator the single
  most important feature of any protocol implementation that expects to
  survive a heavy load. The retransmit timeout procedure in RFC-793
  [Pos81b] includes a fixed parameter, beta, to account for the
  variance in the delay. An estimate of round trip time using the
  suggested values for beta is valid for a network which is at most 30%
  utilized.  Thus, the RFC-793 retransmission timeout estimator will
  fail under heavy congestion, causing unnecessary retransmissions that
  add to the load, and making congestive loss detection impossible.

  Slow-start TCP uses the mean deviation as an estimate of the variance



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  to improve the estimate. As a rough view of what happens with the
  Slow-start retransmission calculation, delays can change by
  approximately two standard deviations without the timer going off in
  a false alarm.  The same method of estimation may be applicable to
  TP4.  The procedure is:

          Error     = Measured - Estimated
          Estimated = Estimated + Gain_1 * Error
          Deviation = Deviation + Gain_2 * (|Error| - Deviation)
          Timeout   = Estimated + 2 * Deviation

          Where:  Gain_1, Gain_2 are gain factors.

4.1  Response to No Policy in Gateway

  Since packets must be dropped during congestion because of the finite
  buffer space, feedback of congestion to the users exists even when
  there is no gateway congestion policy.  Dropping the packets is an
  attempt to recover from congestion, though it needs to be noted that
  congestion collapse is not prevented by packet drops if end-systems
  accelerate their sending rate in these conditions.  The accurate
  detection of congestive loss by all retransmission timers in the
  end-systems is extremely important for gateway congestion recovery.

4.2  Response to Source Quench

  Given that a Source Quench message has ambiguous meaning, but usually
  is issued for congestion recovery, the response of Slow-start to a
  Source Quench is to return to the beginning of the cycle of increase.
  This is an early response, since the Source Quench on overflow will
  also lead to a retransmission timeout later.

4.3 Response to Random Drop

  The end-system's view of Random Drop is the same as its view of loss
  caused by overflow at the gateway. This is a drawback of the use of
  packet drops as congestion feedback for congestion avoidance: the
  decrease policy on congestion feedback cannot be made more drastic
  for overflows than for the drops the gateway does for congestion
  avoidance.  Slow-start responds rapidly to gateway feedback.  In a
  case where the users are cooperating (all Slow-start), a desired
  outcome would be that this responsiveness would lead quickly to a
  decreased probability of drop.  There would be, as an ideal, a self-
  adjusting overall amount of control.







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4.4  Response to Congestion Indication

  Since the Congestion Indication mechanism attempts to keep gateways
  uncongested, cooperating end-system congestion control policies need
  not reduce demand as much as with other gateway policies.  The
  difference between the Slow-start response to packet drops and the
  End-System Congestion Indication response to Congestion Experienced
  Bits is primarily in the decrease policy.  Slow-start decreases the
  window to one packet on a retransmission timeout.  End-System
  Congestion Indication decreases the window by a fraction (for
  instance, to 7/8 of the original value), when the Congestion
  Experienced Bit is set in half of the packets in a sample spanning
  two round-trip times (two windows full).

4.5  Response to Fair Queuing

  A Fair Queueing policy may issue control indications, as in the
  simulated Bit-Round Fair Queueing with DEC Bit, or it may depend only
  on the passive effects of the queueing.  When the passive control is
  the main effect (perhaps because most users are not responsive to
  control indications), the behavior of retransmission timers will be
  very important.  If retransmitting users send more packets in
  response to increases in their delay and drops, Fair Queueing will be
  prone to degraded performance, though collapse (zero throughput for
  all users) may be prevented for a longer period of time.

5.  Conclusions

  The impact of users with excessive demand is a driving force as
  proposed gateway policies come closer to implementation.  Random Drop
  and Congestion Indication can be fair only if the transport entities
  sharing the gateway are all cooperative and reduce demand as needed.
  Within some portions of the Internet, good behavior of end-systems
  eventually may be enforced through administration.  But for various
  reasons, we can expect non-cooperating transports to be a persistent
  population in the Internet.  Congestion avoidance mechanisms will not
  be deployed all at once, even if they are adopted as standards.
  Without enforcement, or even with penalties for excessive demand,
  some end-systems will never implement congestion avoidance
  mechanisms.

  Since it is outside the context of any of the gateway policies, we
  will mention here a suggestion for a relatively small-scale response
  to users which implement especially aggressive policies. This has
  been made experimentally by [Jac89].  It would implement a low
  priority queue, to which the majority of traffic is not routed.  The
  candidate traffic to be queued there would be identified by a cache
  of recent recipients of whatever control indications the gateway



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  policy makes.  Remaining in the cache over multiple control intervals
  is the criterion for being routed to the low priority queue.  In
  approaching or established congestion, the bandwidth given to the
  low-service queue is decreased.

  The goal of end-system cooperation itself has been questioned.  As
  [She89] points out, it is difficult to define.  A TCP implementation
  that retransmits before it determines that has been loss indicated
  and in a Go-Back-N manner is clearly non-cooperating.  On the other
  hand, a transport entity with selective acknowledgement may demand
  more from the gateways than TCP, even while responding to congestion
  in a cooperative way.

  Fair Queueing maintains its control of allocations regardless of the
  end-system congestion avoidance policies.  [Nag85] and [DKS89] argue
  that the extra delays and congestion drops that result from
  misbehavior could work to enforce good end-system policies.  Are the
  rewards and penalties less sharply defined when one or more
  misbehaving systems cause the whole gateway's performance to be less?
  While the tax on all users imposed by the "over-users" is much less
  than in gateways with other policies, how can it be made sufficiently
  low?

  In the sections on Selective Feedback Congestion Indication and Bit-
  Round Fair Queueing we have pointed out that more needs to be done on
  two particular fronts:

     How can increased computational overhead be avoided?

     The allocation of resources to source-destination pairs is, in
     many scenarios, unfair to individual users. Bit-Round Fair
     Queueing offers a potential administrative remedy, but even if it
     is applied, how should the unequal allocations be propagated
     through multiple gateways?

  The first question has been taken up by [McK90].

  Since Selective Feedback Congestion Indication (or Congestion
  Indication used with Fair Queueing) uses a network bit, its use in
  the Internet requires protocol support; the transition of some
  portions of the Internet to OSI protocols may make such a change
  attractive in the future.  The interactions between heterogeneous
  congestion control policies in the Internet will need to be explored.

  The goals of Random Drop Congestion Avoidance are presented in this
  survey, but without any claim that the problems of this policy can be
  solved.  These goals themselves, of uniform, dynamic treatment of
  users (streams/flows), of low overhead, and of good scaling



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  characteristics in large and loaded networks, are significant.

Appendix:  Congestion and Connection-oriented Subnets

  This section presents a recommendation for gateway implementation in
  an areas that unavoidably interacts with gateway congestion control,
  the impact of connection-oriented subnets, such as those based on
  X.25.

  The need to manage a connection oriented service (X.25) in order to
  transport datagram traffic (IP) can cause problems for gateway
  congestion control.  Being a pure datagram protocol, IP provides no
  information delimiting when a pair of IP entities need to establish a
  session between themselves.  The solution involves compromise among
  delay, cost, and resources.  Delay is introduced by call
  establishment when a new X.25 SVC (Switched Virtual Circuit) needs to
  be established, and also by queueing delays for the physical line.
  Cost includes any charges by the X.25 network service provider.
  Besides the resources most gateways have (CPU, memory, links), a
  maximum supported or permitted number of virtual circuits may be in
  contest.

  SVCs are established on demand when an IP packet needs to be sent and
  there is no SVC established or pending establishment to the
  destination IP entity.  Optionally, when cost considerations, and
  sufficient numbers of unused virtual circuits allow, redundant SVCs
  may be established between the same pair of IP entities.  Redundant
  SVCs can have the effect of improving performance when coping with
  large end-to-end delay, small maximum packet sizes and small maximum
  packet windows.  It is generally preferred though, to negotiate large
  packet sizes and packet windows on a single SVC.  Redundant SVCs must
  especially be discouraged when virtual circuit resources are small
  compared with the number of destination IP entities among the active
  users of the gateway.

  SVCs are closed after some period of inactivity indicates that
  communication may have been suspended between the IP entities.  This
  timeout is significant in the operation of the interface.  Setting
  the value too low can result in closing of the SVC even though the
  traffic has not stopped.  This results in potentially large delays
  for the packets which reopen the SVC and may also incur charges
  associated with SVC calls.  Also, clearing of SVCs is, by definition,
  nongraceful.  If an SVC is closed before the last packets are
  acknowledged, there is no guarantee of delivery.  Packet losses are
  introduced by this destructive close independent of gateway traffic
  and congestion.

  When a new circuit is needed and all available circuits are currently



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  in use, there is a temptation to pick one to close (possibly using
  some Least Recently Used criterion).  But if connectivity demands are
  larger than available circuit resources, this strategy can lead to a
  type of thrashing where circuits are constantly being closed and
  reopened.  In the worst case, a circuit is opened, a single packet
  sent and the circuit closed (without a guarantee of packet delivery).
  To counteract this, each circuit should be allowed to remain open a
  minimum amount of time.

  One possible SVC strategy is to dynamically change the time a circuit
  will be allowed to remain open based on the number of circuits in
  use.  Three administratively controlled variables are used, a minimum
  time, a maximum time and an adaptation factor in seconds per
  available circuit.  In this scheme, a circuit is closed after it has
  been idle for a time period equal to the minimum plus the adaptation
  factor times the number of available circuits, limited by the maximum
  time.  By administratively adjusting these variables, one has
  considerable flexibility in adjusting the SVC utilization to meet the
  needs of a specific gateway.

Acknowledgements

  This paper is the outcome of discussions in the Performance and
  Congestion Control Working Group between April 1988 and July 1989.
  Both PCC WG and plenary IETF members gave us helpful reviews of
  earlier drafts.  Several of the ideas described here were contributed
  by the members of the PCC WG.  The Appendix was written by Art
  Berggreen.  We are particularly thankful also to Van Jacobson, Scott
  Shenker, Bruce Schofield, Paul McKenney, Matt Mathis, Geof Stone, and
  Lixia Zhang for participation and reviews.

References

  [DKS89] Demers, A., Keshav, S., and S. Shenker, "Analysis and
  Simulation of a Fair Queueing Algorithm", Proceedings of SIGCOMM '89.

  [Fin89] Finn, G., "A Connectionless Congestion Control Algorithm",
  Computer Communications Review, Vol. 19, No. 5, October 1989.

  [Gar87] Gardner, M., "BBN Report on the ARPANET", Proceedings of the
  McLean IETF, SRI-NIC IETF-87/3P, July 1987.

  [GREQ87] Braden R., and J. Postel, "Requirements for Internet
  Gateways", RFC 1009, USC/Information Sciences Institute, June 1987.

  [HREQ89] Braden R., Editor, "Requirements for Internet Hosts --
  Communications Layers", RFC 1122, Internet Engineering Task Force,
  October 1989.



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  [Has90] Hashem, E., "Random Drop Congestion Control", M.S. Thesis,
  Massachusetts Institute of Technology, Department of Computer
  Science, 1990.

  [Jac88] Jacobson, V., "Congestion Avoidance and Control", Proceedings
  of SIGCOMM '88.

  [Jac89] Jacobson, V., "Presentations to the IETF Performance and
  Congestion Control Working Group".

  [Jaf81] Jaffe, J., "Bottleneck Flow Control", IEEE Transactions on
  Communications, COM-29(7), July, 1981.

  [Jai86] Jain, R., "A Timeout-based Congestion Control Scheme for
  Window Flow-controlled Networks", IEEE Journal on Selected Areas in
  Communications, SAC-4(7), October 1986.

  [JRC87] Jain, R., Ramakrishnan, K., and D. Chiu, "Congestion
  Avoidance in Computer Networks With a Connectionless Network Layer",
  Technical Report DEC-TR-506, Digital Equipment Corporation.

  [Kle79] Kleinrock, L., "Power and Deterministic Rules of Thumb for
  Probabilistic Problems in Computer Communications",  Proceedings of
  the ICC '79.

  [KP87] Karn, P., and C. Partridge, "Improving Round Trip Estimates in
  Reliable Transport Protocols", Proceedings of SIGCOMM '87.

  [Man90] Mankin, A., "Random Drop Congestion Control", Proceedings of
  SIGCOMM '90.

  [McK90] McKenney, P., "Stochastic Fairness Queueing", Proceedings of
  INFOCOM '90.

  [Nag84] Nagle, J., "Congestion Control in IP/TCP Internetworks", RFC
  896, FACC Palo Alto, 6 January 1984.

  [Nag85] Nagle, J., "On Packet Switches With Infinite Storage", RFC
  970, FACC Palo Alto, December 1985.

  [NIST88] NIST, "Stable Implementation Agreements for OSI Protocols,
  Version 2, Edition 1", National Institute of Standards and Technology
  Special Publication 500-162, December 1988.

  [Pos81a] Postel, J., "Internet Control Message Protocol - DARPA
  Internet Program Protocol Specification", RFC-792, USC/Information
  Sciences Institute, September 1981.




Performance and Congestion Control Working Group               [Page 24]

RFC 1254           Gateway Congestion Control Survey         August 1991


  [Pos81b] Postel, J., "Transmission Control Protocol - DARPA Internet
  Program Protocol Specification", RFC-793, DARPA, September 1981.

  [RJC87] Ramakrishnan, K., Jain, R., and D. Chiu, "A Selective Binary
  Feedback Scheme for General Topologies", Technical Report DEC-TR-510,
  Digital Equipment Corporation.

  [She89] Shenker, S., "Correspondence with the IETF Performance and
  Congestion Control Working Group".

  [Sp89] Spector, A., and M. Kazar, "Uniting File Systems", Unix
  Review, Vol.  7, No. 3, March 1989.

  [Zha89] Zhang, L., "A New Architecture for Packet Switching Network
  Protocols", Ph.D Thesis, Massachusetts Institute of Technology,
  Department of Computer Science, 1989.

Security Considerations

  Security issues are not discussed in this memo.

Authors' Addresses

  Allison Mankin
  The MITRE Corporation
  M/S W425
  7525 Colshire Drive
  McLean, VA  22102

  Email: [email protected]


  K.K. Ramakrishnan
  Digital Equipment Corporation
  M/S LKG1-2/A19
  550 King Street
  Littleton, MA  01754

  Email: [email protected]












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