





Network Working Group                                            M. Luby
Request for Comments: 3738                              Digital Fountain
Category: Experimental                                          V. Goyal
                                                                  M.I.T.
                                                              April 2004


      Wave and Equation Based Rate Control (WEBRC) Building Block

Status of this Memo

   This memo defines an Experimental Protocol for the Internet
   community.  It does not specify an Internet standard of any kind.
   Discussion and suggestions for improvement are requested.
   Distribution of this memo is unlimited.

Copyright Notice

   Copyright (C) The Internet Society (2004).  All Rights Reserved.

Abstract

   This document specifies Wave and Equation Based Rate Control (WEBRC),
   which provides rate and congestion control for data delivery.  WEBRC
   is specifically designed to support protocols using IP multicast.  It
   provides multiple-rate, congestion-controlled delivery to receivers,
   i.e., different receivers joined to the same session may be receiving
   packets at different rates depending on the bandwidths of their
   individual connections to the sender and on competing traffic along
   these connections.  WEBRC requires no feedback from receivers to the
   sender, i.e., it is a completely receiver-driven congestion control
   protocol.  Thus, it is designed to scale to potentially massive
   numbers of receivers attached to a session from a single sender.
   Furthermore, because each individual receiver adjusts to the
   available bandwidth between the sender and that receiver, there is
   the potential to deliver data to each individual receiver at the
   fastest possible rate for that receiver, even in a highly
   heterogeneous network architecture, using a single sender.













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Table of Contents

   1.  Introduction. . . . . . . . . . . . . . . . . . . . . . . . .   3
   2.  Rationale . . . . . . . . . . . . . . . . . . . . . . . . . .   5
   3.  Functionality . . . . . . . . . . . . . . . . . . . . . . . .   6
       3.1. Sender Operation . . . . . . . . . . . . . . . . . . . .   9
            3.1.1. Sender inputs and initialization. . . . . . . . .   9
            3.1.2. Sending packets to the session. . . . . . . . . .  10
       3.2. Receiver Operation . . . . . . . . . . . . . . . . . . .  12
            3.2.1. Receiver inputs and initialization. . . . . . . .  12
            3.2.2. Receiver measurements and calculations. . . . . .  13
                   3.2.2.1. Average loss probability . . . . . . . .  13
                   3.2.2.2. Average round-trip time. . . . . . . . .  16
                   3.2.2.3. Rate Equation. . . . . . . . . . . . . .  16
                   3.2.2.4. Epochs . . . . . . . . . . . . . . . . .  17
                   3.2.2.5. Average reception rate . . . . . . . . .  17
                   3.2.2.6. Slow start . . . . . . . . . . . . . . .  19
                   3.2.2.7. Target rate. . . . . . . . . . . . . . .  20
            3.2.3. Receiver events . . . . . . . . . . . . . . . . .  20
                   3.2.3.1. Packet reception . . . . . . . . . . . .  20
                   3.2.3.2. First packet after join. . . . . . . . .  20
                   3.2.3.3. Time slot change . . . . . . . . . . . .  20
                   3.2.3.4. Loss event . . . . . . . . . . . . . . .  21
                   3.2.3.5. Epoch change . . . . . . . . . . . . . .  21
                   3.2.3.6. Join the next higher layer . . . . . . .  21
                   3.2.3.7. Join timeout . . . . . . . . . . . . . .  23
                   3.2.3.8. Exceptional timeouts . . . . . . . . . .  23
   4.  Applicability Statement . . . . . . . . . . . . . . . . . . .  23
       4.1. Environmental Requirements and Considerations. . . . . .  23
   5.  Packet Header Fields. . . . . . . . . . . . . . . . . . . . .  25
       5.1. Short Format Congestion Control Information. . . . . . .  26
       5.2. Long Format Congestion Control Information . . . . . . .  27
   6.  Requirements From Other Building Blocks . . . . . . . . . . .  28
   7.  Security Considerations . . . . . . . . . . . . . . . . . . .  28
   8.  References. . . . . . . . . . . . . . . . . . . . . . . . . .  29
       8.1. Normative References . . . . . . . . . . . . . . . . . .  29
       8.2. Informative References . . . . . . . . . . . . . . . . .  30
   9.  Authors' Addresses. . . . . . . . . . . . . . . . . . . . . .  31
   10. Full Copyright Statement. . . . . . . . . . . . . . . . . . .  32












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1.  Introduction

   This document specifies Wave and Equation Based Rate Control (WEBRC).
   WEBRC is a congestion control building block that is designed to be
   massively scalable when used with the IP multicast network service.
   WEBRC is also suitable as the basis for unicast congestion control,
   but this is outside the scope of this document.  WEBRC is designed to
   compete fairly with TCP and similar congestion-controlled sessions.
   WEBRC can be used as a congestion control protocol for any type of
   data delivery, including reliable content delivery and streaming
   delivery.

   WEBRC is a receiver-driven congestion control protocol in the spirit
   of [5] and [18].  This means that all measurements and decisions to
   raise or lower the reception rate are made by each individual
   receiver, and these decisions are acted upon by sending join and
   leave messages for channels to the network.  A receiver using WEBRC
   adjusts its reception rate without regard for other concerns such as
   reliability.  This is different from TCP, where the congestion
   control protocol and the reliability protocol are intricately
   interwoven.

   WEBRC takes the same basic equation-based approach as TFRC [9].  In
   particular, each WEBRC receiver measures parameters that are plugged
   into a TCP-like equation to compute the receiver target reception
   rate and adjusts its reception rate up and down to closely
   approximate the target reception rate.  The sender sends packets to
   multiple channels; one channel is called the base channel and the
   remaining channels are called wave channels.  Each wave channel
   follows the same pattern of packet rate transmission spread out over
   equally-spaced intervals of time.  The pattern of each wave is that
   it starts at a high rate and the rate decreases gradually and
   continually over a long period of time.  (Picture an infinite
   sequence of waves.)  The receiver increases its reception rate by
   joining the next wave channel earlier in the descent of the wave than
   it joined the previous wave channel, and the receiver decreases its
   reception rate by joining the next wave channel later in the descent
   of the wave than it joined the previous wave channel.

   The wave channels are ordered at each point in time from a lowest
   layer to a highest layer.  At each point in time, the lowest layer is
   the wave channel that among all active wave channels is nearest to
   the end of its active period; the highest layer is the wave channel
   that is furthest from the end of its active period.  Because waves
   are dynamically becoming active and quiescent over time, the
   designation of which wave channel is at which layer changes
   dynamically over time.  In addition to being joined to the base
   channel, at each point in time a receiver is joined to a consecutive



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   set of layers starting at the lowest layer and proceeding towards the
   highest.

   WEBRC introduces a natural notion of a multicast round-trip time
   (MRTT).  An MRTT is measured individually by each receiver and
   averaged as a substitute for conventional unicast round-trip time
   (RTT).  Because the throughput of a TCP session depends strongly on
   RTT, having some measure of RTT is essential in making the WEBRC
   equation-based rate control protocol "TCP-friendly".  The use of the
   MRTT also helps to coordinate and equalize the reception rates of
   proximate receivers joined to a session behind a bottleneck link.
   This implies that packets for the session that flow through the
   bottleneck link are on average sent to almost all downstream
   receivers, and thus the efficiencies of multicast are realized.
   Furthermore, WEBRC is designed to be massively scalable in the sense
   that the sender is insensitive to the number of receivers joined to a
   multicast session.

   WEBRC is designed for applications that use a fixed packet size and
   vary their packet reception rates in response to congestion.  WEBRC
   is designed to be reasonably fair when competing for bandwidth with
   TCP flows, where a flow is "reasonably fair" if its reception rate is
   generally within a factor of two of the reception rate of a TCP flow
   under the same conditions.  However WEBRC has a much lower variation
   of throughput over time compared to TCP, which makes it more suitable
   for applications such as telephony or streaming media where a
   relatively smooth rate is of importance.  The penalty of having
   smoother throughput than TCP while competing fairly for bandwidth is
   that WEBRC responds more slowly than TCP to changes in available
   bandwidth.

   The receiver measures and performs the calculation of congestion
   control parameters (e.g., the average loss probability, the average
   MRTT) and makes decisions on how to increase or decrease its rate
   based on these parameters.  The receiver-based approach is well
   suited to an application where the sender is handling many concurrent
   connections and therefore WEBRC is suitable as a building block for
   multicast congestion control.

   The paper [16] and technical report [15] provide much of the
   rationale and intuition for the WEBRC design and describe some
   preliminary simulations.

   This document describes a building block as defined in RFC 3048 [4].
   This document describes a congestion control building block that
   conforms to RFC 2357 [3].  This document is a product of the IETF RMT
   WG and follows the general guidelines provided in RFC 3269 [2].  The
   key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",



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   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
   document are to be interpreted as described in BCP 14, RFC 2119 [1].

Statement of Intent

   This memo contains part of the definitions necessary to fully specify
   a Reliable Multicast Transport protocol in accordance with RFC 2357.
   As per RFC 2357, the use of any reliable multicast protocol in the
   Internet requires an adequate congestion control scheme.  This
   document specifies an experimental congestion control scheme.  While
   waiting for initial deployment and experience to show this scheme to
   be effective and scalable, the IETF publishes this scheme in the
   "Experimental" category.

   It is the intent of the Reliable Multicast Transport (RMT) Working
   Group to re-submit the specification as an IETF Proposed Standard as
   soon as the scheme is deemed adequate.

2.  Rationale

   WEBRC provides congestion control for massively scalable protocols
   using the IP multicast network service.  The congestion control that
   WEBRC provides is common to a variety of applications, including
   reliable content delivery and streaming applications.

   WEBRC is designed to provide congestion control for all packets that
   are sent to a session.  A session comprises multiple channels
   originating at a single sender that are used for some period of time
   to carry packets pertaining to the transmission of one or more
   objects that can be of interest to receivers.  The logic behind
   defining a session as originating from a single sender is that this
   is the right granularity to regulate packet traffic via congestion
   control.  The rationale for providing congestion control that uses
   multiple channels within the same session is that this allows the
   data on the channels to be layered, which in turn allows each
   receiver to control its reception rate by joining and leaving
   channels during its participation in the session.  There are
   advantages to layered data for streaming, where the most important
   data can be sent to the lower layers and incrementally valuable data
   to the higher layers.  For reliable content delivery, as described in
   [13], an application can send in packets encoded data generated from
   an object in such a way that the arrival of enough packets by a
   receiver is sufficient to reliably reconstruct the original object.
   A primary advantage of WEBRC is that each receiver controls it
   reception rate independent of other receivers.  Thus, for example, a
   receiver with a slow connection to the sender does not slow down the
   receivers with faster connections.




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   There are coding techniques that provide massively scalable
   reliability and asynchronous delivery which are compatible with
   WEBRC, e.g., as described in [11].  When combined the result is a
   massively scalable, reliable, asynchronous content delivery protocol
   that is network friendly.  WEBRC also provides congestion control
   that is suitable for streaming applications.

   WEBRC avoids using techniques that are not massively scalable.  For
   example, WEBRC does not provide any mechanisms for sending
   information from receivers to senders, although this does not rule
   out protocols that both use WEBRC and that send information from
   receivers to senders.

   WEBRC provides congestion control that can be tuned for different
   applications that may have differing application requirements.  For
   example, a content delivery protocol may aggressively strive to use
   all available bandwidth between receivers and the sender, and thus to
   maintain fairness it must drastically reduce its rate when there is
   competing traffic.  On the other hand, a streaming delivery protocol
   may strive to maintain a constant rate instead of trying to use all
   available bandwidth, and thus it may not reduce its rate as fast when
   there is competing traffic.

   WEBRC does not provide any support beyond congestion control, and
   thus WEBRC is to be combined with other building blocks to provide a
   complete protocol instantiation.  For example, WEBRC does not provide
   any means that can be used to identify which session each received
   packet belongs to.  As another example, WEBRC does not provide
   support for identifying which object each packet is carrying
   information about.

3.  Functionality

   A WEBRC session comprises a logically related set of channels
   originating from a single sender that are used for some period of
   time to carry data packets with a header carrying WEBRC Congestion
   Control Information.  When packets are received, they are first
   checked to see that they belong to the appropriate session before
   WEBRC is applied.  A session label defined by a protocol
   instantiation may be carried in each packet to identify to which
   session the packet belongs.  For example, if LCT [12] is being used
   with the session, then the sender IP address together with the
   Transport Session Identifier supported by LCT would be used to
   determine which session a received packet belongs to.  The particular
   details of how this filtering is performed is outside the scope of
   this document.  In the remainder of this document, references to
   channels are always within the scope of a single session.




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   A channel can be uniquely identified at the network layer by a
   (sender IP address, multicast group address) pair, and this is the
   address to which the receiver sends messages to join and leave the
   channel.  The channels used by a WEBRC session are mapped uniquely to
   consecutive channel numbers.  In each packet sent to a channel, the
   channel number that corresponds to the channel is carried in the
   WEBRC Congestion Control Information.  A WEBRC receiver uses the
   channel number to determine which channel within a session a packet
   is received from.

   At the sender, time is partitioned into time slots, each of duration
   TSD seconds.  There is a fixed number T of time slot indices
   associated with a session.  As time progresses, the current time slot
   index increases by one modulo T each TSD seconds.  The current time
   slot index CTSI is carried in the WEBRC Congestion Control
   Information.  This allows receivers to perform very coarse-grained
   synchronization within a session.

   WEBRC congestion control is achieved by having the sender send
   packets associated with a given session to several different
   channels.  Individual receivers dynamically join and leave these
   channels according to the network congestion they experience.  These
   congestion control adjustments are performed at each receiver
   independently of all other receivers, without any impact on the
   sender.  A packet sequence number is carried in the WEBRC Congestion
   Control Information.  The packet sequence numbers are consecutively
   numbered per channel and are used by receivers to measure packet
   loss.

   The channels associated with a session consist of one base channel
   and T wave channels.  The packet rate for each channel varies over
   time.  For the base channel, packets are sent to the channel at a low
   rate BCR_P at the beginning of a time slot and this rate gradually
   decreases to P*BCR_P at the end of the time slot, where P < 1 is a
   constant defined later.  This pattern for the base channel repeats
   over each time slot.  For each wave channel i, packets are sent to
   channel i at a rate that first increases very quickly to a high rate
   and then decreases over time by a fixed fraction P per time slot
   until a rate of BCR_P is reached at the end of time slot i.  Then,
   for a period of time called the quiescent period, no packets are sent
   to wave channel i, and thereafter the whole cycle repeats itself,
   where the duration of the cycle is T*TSD seconds.  Thus, the wave
   channels are going through the same cyclic pattern of packet rate
   transmission spaced out evenly by TSD seconds.

   Before joining a session, the receivers MUST obtain enough of the
   session description to start the session.  This MUST include the
   relevant session parameters needed by a receiver to participate in



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   the session and perform WEBRC congestion control.  The session
   description is determined by the sender and is typically communicated
   to the receivers out of band.  How receivers obtain the session
   description is outside the scope of this document.

   When a receiver initiates a session, it first joins the base channel.
   The packets in the base channel help the receiver orient itself in
   terms of what the current time slot index is, which in turn allows
   the receiver to know the relative rates on the wave channels.  The
   receiver remains joined to the base channel for the duration of its
   participation in the session.

   At each point in time the active (non-quiescent) wave channels are
   ordered into layers, where the lowest layer is the active wave
   channel whose wave is nearest to completion and the highest layer is
   the active wave channel whose wave is furthest from completion.
   (This is almost the same as saying that the lowest layer has the
   lowest rate and the highest layer has the highest rate.  The possible
   deviation from this is due to the optional non-exponential beginnings
   of the waves as described in [8].)  Each time a wave channel becomes
   active, it is the highest layer.  At the end of each time slot the
   lowest-layer wave channel becomes quiescent, and thus all active wave
   channels move down a layer at this point in time.  At each point in
   time a receiver is joined to the base channel and a consecutive set
   of layers starting with the lowest.  Each time a receiver joins a
   wave channel it joins the lowest layer not yet joined.  A receiver
   always leaves the lowest layer when it becomes quiescent.

   After joining a session the receiver adjusts its rate upwards by
   joining wave channels in sequence, starting with the lowest layer and
   moving towards the highest.  The rates on the active wave channels
   are decreasing with time, so the receiver adjusts its rate downwards
   simply by refraining from joining additional wave channels.  Since
   the layer ordering among the channels changes dynamically over time
   depending on the current time slot index, it is important that the
   receiver continually monitor the current time slot index contained in
   received packets.  The reception rate at the receiver is determined
   by how early each wave channel is joined by the receiver: the earlier
   the receiver joins a channel with respect to when its wave started,
   the higher the reception rate.

   Once the receiver is joined to a wave channel, the receiver remains
   joined to the wave channel until the channel goes quiescent, at which
   point the receiver MUST leave the channel.

   The way the receiver adjusts its reception rate is inspired by TFRC
   [9].  The receiver at all points in time maintains a target reception
   rate, and the receiver is allowed to join the next wave channel if



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   after joining its anticipated reception rate from all the layers it
   is joined to would be at most its target reception rate.  The target
   rate is continually updated based on a set of measured parameters.
   The primary parameters are an estimate LOSSP of the average loss
   probability and an estimate ARTT of the average multicast round-trip
   time.

   In the remainder of this document, log(X) denotes the natural
   logarithm of X, i.e., the logarithm base 2.71828459... of X.

3.1.  Sender Operation

   The sender operation is by design much simpler than the receiver
   operation.

3.1.1.  Sender inputs and initialization

   The primary input to the sender for the session is SR_b.  SR_b is an
   upper bound to the sender transmission rate in bits per second at any
   point in time (with some reasonable granularity) in aggregate to all
   channels.  Naturally, this is then also the maximum rate in bits per
   second that any receiver could receive data from the session at any
   point in time.  It is RECOMMENDED that the sender transmission rate
   in aggregate to all channels be made constant as described in [8].
   It is also RECOMMENDED that the session description indicate whether
   the aggregate transmission rate is constant, unless there is no
   ambiguity.

   The secondary inputs to the sender are listed below.  These inputs
   are secondary because their values will generally be fixed to default
   values that will not change, because they will be derived from SR_b,
   or because they are chosen based on non-WEBRC considerations.

   o  LENP_B is the length of packets in bytes sent to the session.  The
      value of LENP_B depends on the complete protocol, but in general
      this SHOULD be set to as high a value as possible without
      exceeding the MTU size for the network that would cause
      fragmentation.

   o  BCR_P is the transmission rate on the base channel at the
      beginning of a time slot in packets per second.  The default value
      for BCR_P is 1.

   o  TSD is the time slot duration measured in seconds.  The
      RECOMMENDED value for TSD is 10.

   o  QD is the minimum quiescent period duration measured in seconds.
      The RECOMMENDED value for QD is 300.



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   o  P is the multiplicative drop in every channel rate over each time
      slot.  The default value for P is 0.75.

   o  N is the duration in time slots for each wave.  N is also the
      number of wave channels active at any time.  (A wave channel is
      called active when it is not quiescent.)  A sender may choose any
      value that allows it to produce waves that substantially follow
      the required exponential shape described in Section 3.1.2.  A
      RECOMMENDED mechanism for relating N to SR_b, BCR_P and P is
      described in [8].

   From these inputs the following fixed sender parameters can be
   derived as follows.

   o  SR_P = SR_b/(8*LENP_B) is the sender transmission rate in packets
      per second.

   o  BCR_b = 8*LENP_B*BCR_P is the rate of the base channel at the
      beginning of a time slot in bits per second.

   o  L = ceil(BCR_P*TSD*(P-1)/log(P)) is the number of base channel
      packets sent in each time slot.

   o  Q = ceil(QD/TSD) is the number of quiescent time slots per cycle
      for a wave channel.

   o  T = N + Q is the total number of time slots in a cycle.  T is also
      the total number of wave channels.

   o  For the base channel CN = T and for the wave channels CN =
      0,1,...,T-1.  The sender has the description of the channels
      assigned to the session and the mapping between the channels and
      the CNs.

   o  C = TSD*T is the total duration of a cycle in seconds.

3.1.2.  Sending packets to the session

   The sender keeps track of the current time slot index CTSI.  The
   value of CTSI is incremented by 1 modulo T each TSD seconds.  The
   value of CTSI is placed into each packet in the format described in
   Section 5.  For each packet sent to the session, the sender also
   places the channel number CN of the channel into the packets in the
   format described in Section 5.  Recall that CN = T for the base
   channel and CN = 0,1,...,T-1 for the wave channels.






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   For each packet sent to the session, the sender calculates a packet
   sequence number PSN and places it into the packet.  The value of PSN
   is scoped by CN, and the value of PSN is consecutively increasing
   within each channel.  Furthermore, for each wave channel, the last
   packet sent before the channel becomes quiescent must have the
   maximum possible PSN value.  When the short format for Congestion
   Control Information is used (see Section 5.1), this implies that for
   any wave channel the last PSN value sent to the channel just before
   the channel becomes quiescent is 2^16-1 = 65,535.  Similarly, when
   the long format for Congestion Control Information is used (see
   Section 5.2), the PSN for the final packet of any wave is 2^32-1 =
   4,294,967,295.  The PSN of the initial packet of a wave thus depends
   on TSD, P, BCR_P and SR_P.  For the base channel, the first packet of
   each time slot has a PSN congruent to zero modulo L.  Hence, instead
   of 2^16 - 1 or 2^32 - 1 being the highest PSN used (depending on the
   choice of short format or long format Congestion Control
   Information), the highest PSN is one less than the largest multiple
   of L that does not exceed 2^16 (short format) or 2^32 (long format).
   The format for the PSN within packets is described in Section 5.

   The rate at which packets are sent to the base channel starts at
   BCR_P packets per second at the beginning of each time slot and
   decreases exponentially to P*BCR_P at the end of that time slot.

   The packet rate for the wave channels is more complicated.  Each wave
   channel carries a sequence of waves separated by quiescent periods.
   On each wave channel each wave is active during N time slots followed
   by a quiescent period of Q time slots.  The waves on wave channel i
   end at the ends of time slots with CTSI i.  Therefore wave channel i
   is active during time slots i-N+1 modulo T, i-N+2 modulo T, ..., i
   and is quiescent for time slots i+1 modulo T, i+2 modulo T, ..., i+Q
   modulo T.  Wave channel i first becomes active within time slot i-N+1
   modulo T at a point in time that may depend on the value of SR_b.

   Except for at most the first two time slots after a wave becomes
   active, the packet rate of the wave MUST decrease exponentially by a
   factor of P per TSD seconds, down to a rate of BCR_P at the end of
   the last active time slot.  At the beginning of each wave, i.e., for
   at most the first two time slots when the wave becomes active, the
   rate MAY deviate from this exponential form so that the total sending
   rate in aggregate to all of the channels is constant.  A RECOMMENDED
   design for the beginnings of waves to achieve this goal is described
   in [8].








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3.2.  Receiver Operation

   The bulk of the complexity in WEBRC is in the receiver operation.
   For ease of explanation, suppose for the moment that during the
   reception there is no packet loss and packets are arriving at exactly
   the rate at which they were sent.  The sender transmission rate to
   the channels is designed so that the receiver reception rate behaves
   as follows.

   Upon entering a session, the receiver immediately joins the base
   channel.  When the receiver wants to increase its rate, it joins
   consecutive layers starting with the lowest and moving towards the
   highest.  (Recall that the designations of lowest to highest change
   as waves become active and quiescent.)  When the receiver wants to
   maintain its current reception rate and it is already joined to the
   lowest NWC layers, if the receiver joins channel i-1+NWC modulo T
   sometime during time slot i then the receiver joins channel i+NWC
   modulo T TSD seconds later in time slot i+1.  When the lowest layer
   becomes quiescent the receiver leaves the channel.

   Suppose the receiver wants to decrease its rate till it is joined to
   just the base channel.  Assume that a receiver is joined to the
   lowest NWC < N-2 layers at the beginning of time slot i, i.e., wave
   channels i, i+1 modulo T,..., i+NWC-1 modulo T.  Then, the aggregate
   packet reception rate of the receiver over the next NWC time slots
   will behave as follows if the receiver does not join any wave
   channels during this time.  At the beginning of time slot i the
   receiver reception rate is BCR_P*(1 + (1/P) + (1/P)^2 + ... +
   (1/P)^NWC).  Then the receiver reception rate decreases by a factor
   of P over the duration of each time slot, and at the end of each time
   slot the reception rate decreases by an additive amount of P*BCR_P.
   At the end of time slot i+NWC-1 mod T, the receiver reception rate is
   BCR_P*(1+P), and at the beginning of time slot i+NWC mod T the
   receiver is joined only to the base channel and its reception rate is
   BCR_P.

3.2.1.  Receiver inputs and initialization

   Before joining a session the receiver MUST know the mapping between
   the CNs and the channels.  Upon joining the session or shortly
   thereafter, it SHOULD have the values of LENP_B, BCR_P, TSD, P, N, L,
   Q and T.  Some of these values may be computed or measured once the
   receiver has joined the session.  For example, the receiver MAY
   obtain LENP_B and T from the first packet received from the base
   channel, and the receiver MAY measure BCR_P once it is joined to the
   base channel.  The values of P, Q and TSD MAY be fixed to default
   values built into the receiver that do not change from session to
   session, and the value of N MAY be computed as T-Q.  The receiver



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   SHOULD know whether the sender is employing a technique to produce
   constant aggregate rate as described in [8].

   When a receiver first joins a session, it MUST first join just the
   base channel and start receiving packets to determine the current
   time slot index.  If during the course of the session the receiver
   continually loses a high fraction of the packets from the base
   channel even when the receiver is only joined to the base channel,
   the receiver SHOULD leave the session.

   The receiver MAY also have other individually set parameters that may
   be used to determine its behavior.  One such parameter is MRR_b:

   o  MRR_b is the maximum receiver reception rate in bits per second.
      This may be used to determine the maximum reception rate this
      receiver is willing to reach.  Thus, the maximum reception rate
      that the receiver can possibly achieve in the session is the
      minimum of SR_b and MRR_b.  A recommended value of MRR_b for a
      receiver is the bandwidth capacity of the last link to the
      receiver.  MRR_P is the maximum receiver reception rate in packets
      per second, i.e., MRR_P = MRR_b/(8*LENP_B).

3.2.2.  Receiver measurements and calculations

   As outlined in the introduction, the way a receiver adjusts its
   reception rate is inspired by TFRC [9]. The receiver at all points in
   time maintains a target reception rate, and the receiver is allowed
   to join the next wave channel if joining would increase its reception
   rate to at most its target reception rate.  The target rate is
   continually updated based on a set of measured parameters.

   Two primary parameters are the estimate LOSSP of the average loss
   probability and the estimate ARTT of the average MRTT.  Both LOSSP
   and ARTT are moving averages of measurements based on discrete
   events.  For many of the other estimates calculated by WEBRC, using
   an exponentially weighted moving average (EWMA) with a fixed
   averaging fraction is sufficient.  However, the calculations of LOSSP
   and ARTT require a more general and sophisticated filtering approach.

3.2.2.1.  Average loss probability

   The design of TFRC [9] reflects that, because the average packet loss
   probability can vary by orders of magnitude, any estimate of the
   average loss probability based on either a fixed number of packets or
   on a fixed period of time with a fixed averaging fraction will be
   poor.  In TFRC the average is estimated from the numbers of packets
   between beginnings of loss events, and the number of loss events used
   is fixed.



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   The estimate LOSSP of the average loss probability of the receiver is
   maintained in a manner somewhat similar to that described in TFRC
   [9].  The WEBRC receiver estimates the inverse of the average loss
   probability by applying two EWMA filters to the packet reception
   measurements, a time-based filter with smoothing constant 0 < Nu < 1
   and a loss-based filter with smoothing constant 0 < Delta < 1.  The
   recommended values for the smoothing constants are Nu = 0.3 and Delta
   = 0.3.  The reason for the time-based filter is that the loss events
   in WEBRC are bursty; they typically occur just after a new wave has
   been joined.  To smooth out this burstiness, the time-based filter is
   applied to the packet reception measurements at the end of each epoch
   to smooth out the bursty loss events over a few time slot durations.
   Intuitively, the time-based filter averages packet reception events
   such that the events are smoothed out over an interval of time
   proportional to TSD/Nu seconds.  The loss-based filter, similar to
   what is suggested in TFRC, is applied to the output of the time-based
   filter to produce the estimate of the inverse of the average loss
   probability.  Intuitively, the loss-based filter averages loss events
   such that each loss event is averaged in with weight Delta.

   As described later, LOSSP is initialized at the end of slow start and
   occasionally reset due to other events.  Let W and X be counts of
   packets, let Y be a count of loss events and let Z be the long-term
   estimate of the inverse of the average loss probability.  Whenever
   the value of LOSSP is initialized or reset, the values of W, X, Y and
   Z are also initialized or reset.

   Recall that TSD is the duration of a time slot.  The epoch length EL
   is the duration of time between decisions to adjust the reception
   rate.  Generally EL is much smaller than TSD, and the RECOMMENDED
   values are EL = 0.5 seconds and TSD = 10 seconds.

   Define G = Nu*EL/TSD as the amount of time-based smoothing to perform
   at the end of each epoch.  The update rules for W, X, Y, Z, and LOSSP
   are the following:

   o  At the end of each epoch, adjust X, Y and Z and compute LOSSP as
      follows:

         Z = Z*(1-Delta)^(G*Y) + G*X/(G*Y+1)*(1-(1-Delta)^(G*Y+1))

         X = X*(1-G)

         Y = Y*(1-G)

         Z1 = Z*(1-Delta)^Y + X/(Y+1)*(1-(1-Delta)^(Y+1))

         Z2 = Z*(1-Delta)^(Y+1) + (X+W+1)/(Y+2)*(1-(1-Delta)^(Y+2))



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         LOSSP = 1/max{Z1,Z2,1}

   o  For each packet event (whether it is a received packet or a lost
      packet), W = W + 1

   o  At the beginning of each loss event, update W, X, and Y as
      follows:

         X = X + W

         W = 0

         Y = Y + 1

   The intuition behind these update rules is the following.  If just
   loss-filtering were used to update Z, then Z would be decreased by a
   multiplicative amount 1 - Delta for each loss event and Z would be
   increased by an additive amount Delta for each packet.  To smooth out
   loss events over more than one time slot, these adjustments are
   filtered into Z over time, at the rate of a fraction G at the end of
   each epoch.  Thus, the variables X and Y are counts of the portions
   of the packets and loss events, respectively, that have not yet been
   filtered into the long-term memory Z.  W is the count of packets
   since the last loss event started.  This explains why W is increased
   by one for each packet and Y is increased by one for each loss event.
   At the end of each epoch a fraction G of both X and Y are filtered
   into Z according to the loss-filter rule described above, and then
   the same fraction G is removed from both X and Y to account for the
   fact that this portion has been filtered into Z.  The LOSSP
   calculation combines the short-term history (X,Y) with the long-term
   history Z and also allows the arrivals since the last loss W to have
   some influence.  The value of Z2 is what Z1 would become were the
   next packet to be lost.

   To reset the loss calculation to a value LOSSP = a, the state
   variables are set as follows:

         W = 0

         X = 0

         Y = 0

         Z = 1/a







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3.2.2.2.  Average round-trip time

   The receiver maintains an average round-trip time, ARTT, as a
   measurement-based filter of MRTT measurements using a smoothing
   constant 0 < Alpha < 1.  The RECOMMENDED value for Alpha is 0.25.

   Each time the receiver joins a channel (either the base channel upon
   entering a session or wave channels continually), it makes a
   measurement of the multicast round-trip time MRTT as follows.  Let V
   be an auxiliary variable that is used that keep track of the average
   of the square of the MRTT measurements.  When the receiver sends the
   join for the channel it records the current time JoinTime and sets a
   Boolean variable JOINING to true.  When the first packet is received
   from the channel the receiver records the current time FirstTime and
   resets the value of JOINING to false.  If it is the base channel that
   has been joined, ARTT is set to FirstTime-JoinTime and V is set to
   ARTT*ARTT.  Otherwise, the value of MRTT is set to (FirstTime -
   JoinTime) - log(1/P)/2/(1-P)/BCR_P * P^NWC.  (Note that this value
   can be negative.)  Then, ARTT is updated as follows.  Let Omega =
   Alpha*ARTT*ARTT/V, and at the Kth MRTT measurement let Rho =
   Omega/(1-(1-Omega)^(K+1)).  (Note that as K grows Rho approaches
   Omega.)  Then, V is updated to (1-Rho)*V+Rho*MRTT*MRTT and ARTT is
   updated to max{P*ARTT,(1-Rho)*ARTT+Rho*MRTT}.

   Usually ARTT is updated to the second term in the max, and in this
   case ARTT is the EWMA of the previous value of ARTT and the new MRTT,
   with a weighting on the new MRTT that as K grows is proportional to
   the square of the previous ARTT divided by the previous average V of
   the square of the MRTT.  Thus, if there is not much variance in the
   previous MRTTs relative to the square of their average then the new
   MRTT will be filtered into ARTT with a high weight, whereas  if there
   is a lot of variance in the previous MRTTs relative to the square of
   their average then the new MRTT will be filtered into ARTT with a low
   weight.  The intuitive rationale for this is that in general the
   number of measurements needed to compute a meaningful average for a
   random variable is proportional to its variance divided by the square
   of its average; see, e.g., [6]. By making the weight factor depend on
   previous measurements in this way, the appropriate weight to use to
   average the new MRTT into the ARTT self-adjusts automatically to the
   variability in the measurements.

3.2.2.3.  Rate Equation

   The receiver calculates the reception rate REQN based on the TCP
   equation as follows: REQN = 1/(ARTT*sqrt{LOSSP}(0.816 +
   7.35*LOSSP*(1+32*LOSSP^2))).  This equation comes from TFRC [9].





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3.2.2.4.  Epochs

   The receiver makes decisions on whether or not to join another wave
   channel at equally-spaced units of time called epochs.  The duration
   of an epoch in seconds, EL, is set to be a small fraction of TSD, so
   that decisions to join a channel can be made at a much finer
   granularity than TSD.  A standard setting is EL = TSD/20.  Thus, with
   the recommended setting of TSD = 10, it is RECOMMENDED that EL = 0.5.

3.2.2.5.  Average reception rate

   There are two averaged reception rates maintained by the receiver:
   TRR_P, the true reception rate, and ARR_P, the anticipated reception
   rate.  These are used for different purposes and thus are calculated
   quite differently.  Recommended values for the filtering weights Beta
   and Zeta are provided at the end of this subsection.

   In start-up mode, the true reception rate TRR_P is used to ensure
   that the receiver does not increase its reception rate too quickly
   above its current reception rate.  In the transition from start-up
   mode to normal operation and in normal operation, TRR_P is used in
   setting the slow start rate.  TRR_P is calculated based on the
   measurement of RR_P, where RR_P is the receiver reception rate in
   packets per second measured at the beginning of an epoch averaged
   over the epoch that just ended.  TRR_P is initialized to BCR_P +
   k*log(P)/TSD when the first base channel packet of the session
   arrives, where k is the PSN of the packet reduced modulo L.  TRR_P is
   updated to (1-Zeta)*TRR_P + Zeta*RR_P at the beginning of each epoch
   after RR_P is measured for the previous epoch.

   The anticipated reception rate ARR_P is the receiver's estimate of
   the total instantaneous rate of the currently joined channels.  It is
   used to compare against the target rate to decide whether or not the
   receiver should increase its reception rate by joining the next
   higher unjoined layer.  ARR_P is calculated based on a measurement
   IRR_P and on the number of joined wave channels NWC.  The ideal
   reception rate IRR_P is the reception rate in packets per second
   including both received and lost packets; like RR_P, it is measured
   at the beginning of the epoch and averaged over the previous epoch.
   ARR_P, IRR_P and NWC are updated as follows:

   o  NWC is initialized to 0.

   o  When the first base channel packet arrives, ARR_P is set to BCR_P
      + k*log(P)/TSD, where k is the PSN of the packet reduced modulo L.






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   o  At the beginning of each epoch, IRR_P is measured over the
      previous epoch and then ARR_P is updated to
      P^(EL/TSD)*(1-Beta)*ARR_P + Beta*IRR_P.  Then if ARR_P exceeds
      ARR_P_max = ((1/P)^(NWC+1)-1)/((1/P)-1)*BCR_P, ARR_P is updated to
      ARR_P_max.

   o  When a join is made to the next higher unjoined layer, NWC is
      updated to NWC+1 and then ARR_P is multiplicatively increased by
      the factor ((1/P)^(NWC+1)-1)/((1/P)^NWC-1).  (Joins happen at
      epoch boundaries; this adjustment is in addition to the adjustment
      above.)

   o  Each time a next time slot index is detected, ARR_P is additively
      increased by (1-P)*BCR_P to account for the change in rate on the
      base channel.  In addition, the bottom layer in the previous time
      slot has just gone quiescent and thus a message to leave this
      layer has been sent, ARR_P is additively decreased by BCR_P and
      NWC is decremented by 1.  Thus, the combination of these effects
      on ARR_P is that it is additively decreased by P*BCR_P.

   Consider for the moment what happens if Beta = 0 and ARR_P is an
   accurate estimate of the total rate of the joined channels.  The
   adjustments to ARR_P upon joining and leaving wave channels, with the
   passage of epochs, and with the detection of time slot changes will
   then cause ARR_P to remain an accurate estimate.  In practice, Beta
   MUST be positive; allowing an influence of IRR_P prevents ARR_P from
   drifting away from being an accurate estimate of the total joined
   rate.

   The motivation for separate estimates TRR_P and ARR_P is as follows.
   ARR_P is needed for comparison with the TFRC-inspired target rate
   because there is no lag before it reflects the potential rate
   increase resulting from joining the next higher layer and because it
   measures the total possible impact on the network since it also
   includes lost packets.  TRR_P is needed because it reflects the rate
   of data arriving at the receiver and this is used to ensure that
   there is not a large gap between the joined rate and the receiving
   rate.

   The recommended values for Beta and Zeta depend on whether the
   receiver is in start-up mode (SSR_P = infinity).  In start-up mode,
   it is RECOMMENDED that Beta = (1 - P^(0.25))/2 and Zeta = sqrt(P)/(1
   + sqrt(P)).  In normal operation, it is RECOMMENDED that Beta = 1 -
   (P/(1+P))^(EL/TSD) and Zeta = 2*EL/(4+TSD).







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3.2.2.6.  Slow start

   WEBRC uses a slow start mechanism to quickly ramp up its rate at both
   the beginning of the session and in the middle of a session when the
   rate drops precipitously.  To enact this, the receiver maintains the
   following parameters:

   o  SSMINR_P is the minimum allowed slow start threshold rate in
      packets per second.  The recommended value for SSMINR_P is
      BCR_P*(1+1/P+1/P^2).

   o  SSR_P is the slow start threshold rate in packets per second.  It
      is adjusted at the beginning of loss events as described in
      Section 3.2.3.4. SSR_P is initialized to infinity and is first set
      to a finite value when the receiver leaves the initial start-up
      period as described below.

   At the beginning of a session, the receiver cannot compute a
   meaningful target rate from its measurements.  Thus, it uses SSR_P =
   infinity until one of the following events causes an end to this
   start-up mode:

   o  A packet loss is detected.  In this case the value of SSR_P is
      updated to max{SSMINR_P, P*TRR_P} as with the beginning of any
      other loss event.

   o  A sharp increase in MRTT is detected.  While SSR_P = infinity the
      receiver MUST compute, in the notation of Section 3.2.2.2,
      differences in successive measurements of (FirstTime-JoinTime)
      from successive waves and MUST set SSR_P to max{SSMINR_P, P*TRR_P}
      when a large increase in (FirstTime-JoinTime) is observed.  It is
      RECOMMENDED that an increase in (FirstTime-JoinTime) be considered
      large if it exceeds (P^(NWC+1)-1)/(P*log(P)) / ARR_P.

   o  The maximum reception rate is reached.  When SSR_P = infinity, if
      (P^(-NWC-2)-1)/(P^(-NWC-1)-1)*ARR_P exceeds MRR_P or SR_P, the
      receiver MUST set SSR_P to max{SSMINR_P, TRR_P}.

   o  TRR_P is not increasing consistent with the last join of a wave
      channel.  While SSR_P = infinity, it is RECOMMENDED that the
      receiver wait at least one full epoch after the first packet of a
      wave is received before joining the next wave.  If the TRR_P after
      that full epoch is greatly below ARR_P the receiver SHOULD NOT
      join and SHOULD then set SSR_P to max{SSMINR_P, TRR_P}.  It is
      RECOMMENDED that TRR_P be considered greatly below ARR_P if TRR_P
      < c * ARR_P - 2/EL, where c = Zeta + (1-Zeta)*(P^(-EL/TSD))*(Zeta
      + (1-Zeta)*sqrt(P)*(P^(-EL/TSD)))/g with g = (P^(-NWC-1)-1)/(P^(-
      NWC)-1).



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   In any of these four cases, the variables associated with LOSSP are
   reset to make REQN, calculated as in Section 3.2.2.3 with the current
   value of ARTT, equal TRR_P.

3.2.2.7.  Target rate

   In typical operation, SSR_P has a finite value and the target rate
   TRATE is computed as TRATE = min{max{SSR_P, REQN}, MRR_P}.  When
   SSR_P = infinity, TRATE is computed as TRATE = min{4*TRR_P, MRR_P}.

3.2.3.  Receiver events

   There are various receiver events, some of which are triggered by the
   passing of time on the receiver, and others by events such as packet
   reception, detection of packet loss, reception of a first packet from
   a channel, and exceptional time-outs.

3.2.3.1.  Packet reception

   Most packet reception events require the receiver to merely register
   the reception for later calculation of RR_P and IRR_P (see Section
   3.2.2.5) and increment W for later calculation of LOSSP (see Section
   3.2.2.1).

   Additional actions, described in the following three subsections, are
   required if the packet is the first packet received in response to a
   join operation, the CTSI of the packet indicates a time slot change,
   or the CN and PSN of the packet indicate a packet loss.

3.2.3.2.  First packet after join

   When channel i is the most recently joined channel and the Boolean
   variable JOINING is true, the reception of a packet with PSN = i is a
   special event because it is the first packet received in response to
   the most recent join.  MRTT is calculated and ARTT and V are updated
   as described in Section 3.2.2.2, and JOINING is set to false.  The
   first received packet of the session furthermore necessitates
   initialization of ARR_P and TRR_P as described in Section 3.2.2.5.

3.2.3.3.  Time slot change

   This is an event that is triggered by the reception of a packet with
   a CTSI value that is one larger modulo T than the previous CTSI
   value.  When a packet with a new CTSI = i is received, a leave is
   sent for the lowest layer in the previous time slot, i.e., wave
   channel i-1 modulo T, NWC is updated to NWC-1, and ARR_P is updated





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   to ARR_P - P*BCR_P as described in Section 3.2.2.5. If the channel
   for which the leave is sent is also the most recently joined wave
   channel and JOINING is true, then JOINING is set to false.

   It is possible due to packet reordering for some packets from the
   previous time slot to be received after packets from the current time
   slot.  It is RECOMMENDED that measures be put into place to handle
   this situation appropriately, i.e., to not trigger a time slot change
   in this situation.  One simple mechanism for this is as follows:
   Compute the difference i-j modulo T, where i is the CTSI of the
   received packet and j is the current CTSI of the receiver.  A
   difference of zero is, of course, not a time slot change.  In
   addition, a very large difference, for example a difference larger
   than T-Q/2, should also not trigger a time slot change.

3.2.3.4.  Loss event

   Each time the receiver detects a lost packet (based on the sequence
   numbers in the packets scoped by the channel number), the receiver
   records the start of a new loss event and sets a Boolean variable
   LOSS_EVENT to true that will automatically reset to false after ARTT
   seconds.  All subsequent packet loss for a period of ARTT seconds is
   considered as part of the same loss event.  When a start of a loss
   event is detected, the value of SSR_P is updated to max{SSMINR_P,
   P*TRR_P}.

   It is RECOMMENDED that the receiver account for simple misordering of
   packets without inferring a loss.

3.2.3.5.  Epoch change

   This is an event that is triggered by the passage of time at the
   receiver, which occurs each EL seconds.  When this happens, TRR_P and
   ARR_P are computed as described in Section 3.2.2.5. Immediately after
   these updates, a decision is made about whether to join the next
   higher layer as described in Section 3.2.3.6.

3.2.3.6.  Join the next higher layer

   At the beginning of each epoch, after updating the values of ARR_P
   and TRR_P as described in Section 3.2.2.5, the receiver decides
   whether or not to join the next higher layer as follows:

   o  If the first base channel packet has not yet arrived the receiver
      MUST not join.

   o  If there is a loss event in progress (LOSS_EVENT = true) the
      receiver MUST not join.



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   o  If a join of a channel is in progress (JOINING = true) the
      receiver MUST not join.

   o  If NWC = N the receiver MUST not join.

   o  If the receiver is employing the OPTIONAL rule described in
      Section 3.2.2.6, SSR_P = infinity, and a full epoch has not passed
      since the first packet arrival on the most recently joined wave
      channel then the receiver MUST not join.

   o  If the receiver is employing the OPTIONAL rule described in
      Section 3.2.2.6, SSR_P = infinity, and a full epoch has passed
      since the first packet arrival on the most recently joined wave
      channel, then the receiver checks if TRR_P is greatly below ARR_P
      as described in Section 3.2.2.6. If TRR_P is greatly below ARR_P
      the receiver MUST not join.

   o  The receiver calculates REQN as described in Section 3.2.2.3.

   o  The receiver calculates TRATE as described in Section 3.2.2.7.

   o  If the sender is not sending at constant aggregate rate and TRATE
      < ARR_P*((1/P)^{NWC+2}-1)/((1/P)^{NWC+1}-1), the receiver MUST not
      join. If the sender is sending at constant aggregate rate and
      TRATE < ARR_P*((1/P)^{NWC+2}-1)/((1/P)^{NWC+1}-1) and TRATE <
      SR_P, the receiver MUST not join.

   o  If SSR_P is finite and the sender is not sending at constant
      aggregate rate or SSR_P is finite and the sender is sending at
      constant aggregate rate and TRATE < SR_P then the receiver MAY
      apply one additional OPTIONAL check before deciding to join.

      It is RECOMMENDED that the receiver not join if the value of RR_P
      is not sufficiently lower than the maximum value of RR_P observed
      since the last join.  It is RECOMMENDED that RR_P is sufficiently
      low to allow a join if RR_P <= max{RRmax-2/EL,P*RRmax}, where
      RRmax is the maximum measured RR_P since the last join.

      If the receiver does not join because RR_P is not sufficiently
      small then a value of LOSSP is calculated so as to make the value
      of the REQN equation given in Section 3.2.2.3 evaluate to
      ARR_P*((1/P)^(NWC+2)-1)/((1/P)^(NWC+1)-1) with respect to the
      current value of ARR_P.  Then, the variables associated with LOSSP
      are reset based on this calculated value of LOSSP as described at
      the end of Section 3.2.2.1.

   o Otherwise, the receiver MAY join the next higher layer.




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   Suppose the receiver has decided to join and CTSI = i.  The receiver
   joins the next higher wave channel, i.e., the wave channel with CN =
   i+NWC modulo T, increments NWC by 1, and then updates ARR_P to
   ARR_P*((1/P)^{NWC+1}-1)/((1/P)^NWC-1) as described in Section
   3.2.2.5.  The time of the join is recorded for use in updating ARTT
   as described in Section 3.2.2.2.

3.2.3.7.  Join timeout

   When no packet arrives in response to the join of channel for a long
   period of time, the join times out.  The receiver sets JOINING to
   false, updates ARR_P to ARR_P*((1/P)^NWC-1)/((1/P)^{NWC+1}-1), and
   then decrements NWC by 1.

   The RECOMMENDED threshold for a join timeout is max{2*V/ARTT,10*ARTT}
   seconds.

3.2.3.8.  Exceptional timeouts

   These are timeouts when the packet reception behavior is far from
   what it should be and these MUST trigger the receiver to leave the
   session.  Exceptional timeouts include

   o  No packets are received for a long period.  A RECOMMENDED
      threshold is max{10,TSD} seconds.

   o  There is no change in time slot index for a long period.  A
      RECOMMENDED threshold is max{20,2*TSD} seconds.

4.  Applicability Statement

   WEBRC is intended to be a congestion control scheme that can be used
   in a complete protocol instantiation that delivers objects and
   streams (both reliable content delivery and streaming of multimedia
   information).  WEBRC is most applicable for delivery of objects or
   streams of substantial length, i.e., objects or streams that range in
   length from hundreds of kilobytes to many gigabytes, and whose
   transfer time is on the order of tens of seconds or more.

4.1.  Environmental Requirements and Considerations

   WEBRC can be used with both multicast and unicast networks.  However,
   the scope of this document is limited to multicast.  WEBRC requires
   connectivity between a sender and receivers, but does not require
   connectivity from receivers to the sender.

   WEBRC inherently works with all types of networks, including LANs,
   WANs, Intranets, the Internet, asymmetric networks, wireless



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   networks, and satellite networks.  Thus, the inherent raw scalability
   of WEBRC is unlimited.  However, in some network environments varying
   reception rates to receivers may not be advantageous.  For example,
   the network may have dedicated a fixed amount of bandwidth to the
   session or there may be no effective way for receivers to dynamically
   vary the set of channels they are joined to, as in a satellite
   network.

   Receivers join and leave channels using the appropriate multicast
   join and leave messages.  For IPv4 multicast, IGMP messages are used
   by receivers to join and leave channels.  For IPv6, MLDv2 messages
   are used by receivers to join and leave channels.  This is the only
   dependency of WEBRC on the IP version.

   WEBRC requires receivers to be able to uniquely identify and
   demultiplex packets associated with a session in order to effectively
   perform congestion control over all packets associated with the
   session.  How receivers achieve this is outside the scope of this
   document.

   WEBRC is presumed to be used with an underlying network or transport
   service that is a "best effort" service that does not guarantee
   packet reception, packet reception order, and which does not have any
   support for flow or congestion control.  For example, the Any-Source
   Multicast (ASM) model of IP multicast as defined in RFC 1112 [7] is
   such a best effort network service.  While the basic service provided
   by RFC 1112 is largely scalable, providing congestion control or
   reliability should be done carefully to avoid severe scalability
   limitations, especially in the presence of heterogeneous sets of
   receivers.

   There are currently two models of multicast delivery, the Any-Source
   Multicast (ASM) model as defined in RFC 1112 [7] and the Source-
   Specific Multicast (SSM) model as defined in [10].  WEBRC works with
   both multicast models, but in a slightly different way with somewhat
   different environmental concerns.  When using ASM, a sender S sends
   packets to a multicast group G, and the WEBRC channel address
   consists of the pair (S,G), where S is the IP address of the sender
   and G is a multicast group address.  When using SSM, a sender S sends
   packets to an SSM channel (S,G), and the WEBRC channel address
   coincides with the SSM channel address.

   A sender can locally allocate unique SSM channel addresses, and this
   makes allocation of channel addresses easy with SSM.  To allocate
   channel addresses using ASM, the sender must uniquely chose the ASM
   multicast group address across the scope of the group, and this makes
   allocation of WEBRC channel addresses more difficult with ASM.  This
   is an issue for WEBRC because several channels are used per session.



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   WEBRC channels and SSM channels coincide, and thus the receiver will
   only receive packets sent to the requested WEBRC channel.  With ASM,
   the receiver joins a channel by joining a multicast group G, and all
   packets sent to G, regardless of the sender, may be received by the
   receiver.  Thus, SSM has compelling security advantages over ASM for
   prevention of denial of service attacks.  In either case, receivers
   SHOULD use mechanisms to filter out packets from unwanted sources.

   WEBRC assumes that the packet route between the sender and a
   particular receiver is the same for all channels associated with a
   session.  For SSM this assumption is true because the multicast tree
   is a shortest path tree from each receiver to the sender and
   generally this path changes infrequently.  For ASM there are some
   issues that if not properly considered may invalidate this
   assumption.  With ASM, the packet route between the sender and
   receivers may initially be through the Rendezvous Point (RP) and then
   switch over to the shortest path to the sender as packets start
   flowing in a channel.  The first issue is that the RP may not be the
   same for all channels associated with a session, and thus the first
   packets sent to the channels may follow a route that depends on the
   RP of the channel.  This depends on the RP configuration for the
   sender.  If the sender registers all channels associated with the
   session with the same RP then the assumption is true, but if the
   sender registers different channels with different RPs then the
   assumption may not be true.  Thus, it is RECOMMENDED that the sender
   register all channels associated with a session with the same RP.
   Another issue is that when the channel switches over from the RP to
   the sender-based tree then the route to the receivers may vary within
   a channel.  Furthermore, this may cause either the receipt of
   duplicate packets at receivers or loss of packets depending on the
   smoothness of the switchover.  Thus, it is RECOMMENDED that the RP be
   placed as close as possible to the sender.  The best location for the
   RP is that it be the first-hop router closest to the sender, in which
   case the path to the sender and the path to the RP is the same for
   each receiver and the problems mentioned above are eliminated.  The
   consequences of this assumption not being true are that the receiver
   reaction to congestion may not be appropriate.  Generally, the WEBRC
   receiver will act conservatively and reduce its reception rate too
   much if this assumption is not true, but there can be cases where the
   receivers will act inappropriately.

5.  Packet Header Fields

   Packets sent to a session using WEBRC MUST include Congestion Control
   Information fields as specified in this section. This document
   specifies short and long formats for the Congestion Control
   Information, and it is RECOMMENDED that protocol instantiations use
   one of these two formats.  Other formats for the Congestion Control



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   Information fields MAY be used by protocol instantiations, but all
   protocol instantiations are REQUIRED to use these fields in a format
   that is compatible with the interpretations of these fields.  Thus,
   if a protocol does use a different format for the fields in the
   Congestion Control Information then it MUST specify the lengths and
   positions of these fields within the packet header.

   All integer fields are carried in "big-endian" or "network order"
   format, that is, most significant byte (octet) first.  All constants,
   unless otherwise specified, are expressed in base ten.

5.1.  Short Format Congestion Control Information

   The short format for the Congestion Control Information is shown in
   Fig. 1.  The total length of the short format is 32-bits.

    0                   1                   2                   3
    0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
   +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
   |      CTSI     | Channel Number|    Packet Sequence Number     |
   +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

   Fig. 1 - Short format for Congestion Control Information

   The function of each field in the Congestion Control Information is
   the following.

      Current Time Slot Index (CTSI): 8 bits

         CTSI indicates the index of the current time slot.  This must
         be sent in each packet within the session.  The Current Time
         Slot Index increases by one modulo T each TSD seconds at the
         sender, where T is the number of time slots associated with the
         session and TSD is the time slot duration.  Note that T is also
         the number of wave channels associated with the session, and
         thus T MUST be at most 255.

      Channel Number (CN): 8 bits

         CN is the channel number that this packet belongs to.  CN for
         the base channel is T, and the CNs for the wave channels are 0
         through T-1.  Thus, T+1 channels in total are used, and thus T
         MUST be at most 255.

      Packet Sequence Number (PSN): 16 bits

         The PSN of each packet is scoped by its CN value.  The sequence
         numbers of consecutive packets sent to the base channel are



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         numbered consecutively modulo 2^16.  The same sequence of PSNs
         are used for each wave channel in each cycle.  The sequence
         numbers of consecutive packets sent to a wave channel are
         numbered consecutively modulo 2^16 within each cycle, ending
         with the last packet sent to the channel before the channel
         goes quiescent with PSN = 2^16-1.

5.2.  Long Format Congestion Control Information

   The long format for the Congestion Control Information is shown in
   Fig.  2.  The total length of the long format is 64-bits.

    0                   1                   2                   3
    0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
   +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
   |             CTSI              |        Channel Number         |
   +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
   |                     Packet Sequence Number                    |
   +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

   Fig. 2 - Long format for Congestion Control Information

   The meaning of each field for the long format is the same as for the
   short format, the only difference is that each field is twice as
   long.

      Current Time Slot Index (CTSI): 16 bits

         CTSI indicates the index of the current time slot.  This must
         be sent in each packet within the session.  The Current Time
         Slot Index increases by one modulo T each TSD seconds at the
         sender, where T is the number of time slots associated with the
         session and TSD is the time slot duration.  Note that T is also
         the number of wave channels associated with the session, and
         thus T MUST be at most 65,535.

      Channel Number (CN): 16 bits

         CN is the channel number that this packet belongs to.  CN for
         the base channel is T, and the CNs for the wave channels are 0
         through T-1.  Thus, T+1 channels in total are used, and thus T
         MUST be at most 65,535.

      Packet Sequence Number (PSN): 32 bits

         The PSN of each packet is scoped by its CN value.  The sequence
         numbers of consecutive packets sent to the base channel are
         numbered consecutively modulo 2^32.  The same sequence of PSNs



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         are used for each wave channel in each cycle.  The sequence
         numbers of consecutive packets sent to a wave channel are
         numbered consecutively modulo 2^32 within each cycle, ending
         with the last packet sent to the channel before the channel
         goes quiescent with PSN = 2^32-1.

6.  Requirements From Other Building Blocks

   As described in RFC 3048 [4], WEBRC is a building block that is
   intended to be used, in conjunction with other building blocks, to
   help specify a protocol instantiation.

   WEBRC does not provide higher level session support, e.g., how
   receivers obtain the necessary session description and how the
   receivers demultiplex received packets based on their session.  There
   is support provided by other building blocks that can be used in
   conjunction with WEBRC to provide some of this support.  For example,
   LCT [12] can provide some of the higher level in-band session support
   that may be needed by receivers, and the WEBRC Congestion Control
   Information (CCI) required in each packet can be carried in the CCI
   field of the LCT header [12].

   WEBRC does not provide any type of reliability, and in particular
   does not provide support for retransmission of loss packets.
   Reliability can be added by independent means, such as by the use of
   FEC codes as described in [13] and specified in the FEC building
   block [14].

7.  Security Considerations

   WEBRC can be subject to denial-of-service attacks by attackers that
   try to confuse the congestion control mechanism for receivers by
   injecting forged packets into the multicast stream.  This attack most
   adversely affects network elements and receivers downstream of the
   attack, and much less significantly the rest of the network and other
   receivers.  Because of this and because of the potential attacks due
   to the use of FEC described above, it is RECOMMENDED that Reverse
   Path Forwarding checks be enabled in all network routers and switches
   along the path from the sender to receivers to limit the possibility
   of a bad agent injecting forged packets into the multicast tree data
   path.

   It is also RECOMMENDED that packet authentication be used to
   authenticate each packet immediately upon receipt before the receiver
   performs any WEBRC actions based upon its receipt.  Unfortunately,
   there are currently no practical multicast packet authentication
   schemes that offer instant packet authentication upon receipt.
   However, TESLA [17] can be used to authenticate each packet a few



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   seconds after receipt.  Thus, TESLA could be used in conjunction with
   WEBRC to authenticate packets and for example terminate the session
   upon detection of a forged packet.  However, it is RECOMMENDED that
   the normal WEBRC receiver responses to received packets occur
   immediately -- not delayed by the TESLA authentication process.  This
   is because the overall WEBRC performance would be greatly degraded if
   the receiver delayed its WEBRC response to packet receipt for several
   seconds.

   A receiver with an incorrect or corrupted implementation of WEBRC may
   affect health of the network in the path between the sender and the
   receiver, and may also affect the reception rates of other receivers
   joined to the session.  It is therefore RECOMMENDED that receivers be
   required to identify themselves as legitimate before they receive the
   session description needed to join the session.

   Another vulnerability of WEBRC is the potential of receivers
   obtaining an incorrect session description for the session.  The
   consequences of this could be that legitimate receivers with the
   wrong session description are unable to correctly receive the session
   content, or that receivers inadvertently try to receive at a much
   higher rate than they are capable of, thereby disrupting traffic in
   portions of the network.  To avoid these problems, it is RECOMMENDED
   that measures be taken to prevent receivers from accepting incorrect
   session descriptions, e.g., by using source authentication to ensure
   that receivers only accept legitimate session descriptions from
   authorized senders.

8.  References

8.1.  Normative References

   [1]  Bradner, S., "Key words for use in RFCs to Indicate Requirement
        Levels", BCP 14, RFC 2119, March 1997.

   [2]  Kermode, R. and L. Vicisano, "Author Guidelines for Reliable
        Multicast Transport (RMT) Building Blocks and Protocol
        Instantiation documents", RFC 3269, April 2002.

   [3]  Mankin, A., Romanow, A., Bradner, S. and V. Paxson, "IETF
        Criteria for Evaluating Reliable Multicast Transport and
        Application Protocols", RFC 2357, June 1998.

   [4]  Whetten, B., Vicisano, L., Kermode, R., Handley, M., Floyd, S.
        and M. Luby, "Reliable Multicast Transport Building Blocks for
        One-to-Many Bulk-Data Transfer", RFC 3048, January 2001.





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8.2.  Informative References

   [5]  Byers, J., Horn, G., Luby, M., Mitzenmacher, M. and W. Shaver.
        "FLID-DL: Congestion control for layered multicast," IEEE J. on
        Selected Areas in Communications, Special Issue on Network
        Support for Multicast Communication, Vol. 20, No. 8, October
        2002, pp. 1558-1570.

   [6]  Dagum, P., Karp, R., Luby, M. and S. Ross, "An optimal algorithm
        for Monte Carlo estimation," SIAM J. Comput., 29(5):1484-1496,
        April 2000.

   [7]  Deering, S., "Host Extensions for IP Multicasting", STD 5, RFC
        1112, August 1989.

   [8]  Goyal, V., "On WEBRC Wave Design and Server Implementation",
        Digital Fountain Technical Report no. DF2002-09-001, September
        2002, available at http://www.digitalfountain.com/technology/.

   [9]  Handley, M., Floyd, S., Padhye, J. and J. Widmer, "TCP Friendly
        Rate Control (TFRC): Protocol Specification", RFC 3448, January
        2003.

   [10] Holbrook, H., "A Channel Model for Multicast", Ph.D.
        Dissertation, Stanford University, Department of Computer
        Science, Stanford, California, August 2001.

   [11] Luby, M., Gemmell, J., Vicisano, L., Rizzo, L. and J. Crowcroft,
        "Asynchronous Layered Coding (ALC) Protocol Instantiation", RFC
        3450, December 2002.

   [12] Luby, M., Gemmell, J., Vicisano, L., Rizzo, L., Handley, M. and
        J.  Crowcroft, "Layered Coding Transport (LCT) Building Block",
        RFC 3451, December 2002.

   [13] Luby, M., Vicisano, L., Gemmell, J., Rizzo, L., Handley, M. and
        J. Crowcroft, "The Use of Forward Error Correction (FEC) in
        Reliable Multicast", RFC 3453, December 2002.

   [14] Luby, M., Vicisano, L., Gemmell, J., Rizzo, L., Handley, M. and
        J.  Crowcroft, "Forward Error Correction (FEC) Building Block",
        RFC 3452, December 2002.

   [15] Luby, M. and V. Goyal, "Wave and Equation Based Rate Control
        Using Multicast Round Trip Time: Extended Report", Digital
        Fountain Technical Report no. DF2002-07-001, September 2002,
        available at http://www.digitalfountain.com/technology/.




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   [16] Luby, M., Goyal, V., Skaria, S. and G. Horn, "Wave and Equation
        Based Rate Control Using Multicast Round Trip Time", Proc. ACM
        SIGCOMM 2002, Pittsburgh, PA,  August 2002, pp. 191-214.

   [17] Perrig, A., Canetti, R., Song, D. and J. Tygar, "Efficient and
        Secure Source Authentication for Multicast", Network and
        Distributed System Security Symposium, NDSS 2001, pp. 35-46,
        February 2001.

   [18] Vicisano, L., Rizzo, L. and J. Crowcroft, "TCP-like Congestion
        Control for Layered Multicast Data Transfer", Proc. IEEE Infocom
        '98, San Francisco, CA, March-April 1998, pp. 996-1003.

9.  Authors' Addresses

   Michael Luby
   Digital Fountain
   39141 Civic Center Drive, Suite 300
   Fremont, CA, USA, 94538

   EMail: luby@digitalfountain.com


   Vivek K Goyal
   Massachusetts Institute of Technology
   Room 36-690
   77 Massachusetts Avenue
   Cambridge, MA, USA, 02139

   EMail: v.goyal@ieee.org





















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10.  Full Copyright Statement

   Copyright (C) The Internet Society (2004).  This document is subject
   to the rights, licenses and restrictions contained in BCP 78 and
   except as set forth therein, the authors retain all their rights.

   This document and the information contained herein are provided on an
   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET
   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,
   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE
   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.

Intellectual Property

   The IETF takes no position regarding the validity or scope of any
   Intellectual Property Rights or other rights that might be claimed to
   pertain to the implementation or use of the technology described in
   this document or the extent to which any license under such rights
   might or might not be available; nor does it represent that it has
   made any independent effort to identify any such rights.  Information
   on the procedures with respect to rights in RFC documents can be
   found in BCP 78 and BCP 79.

   Copies of IPR disclosures made to the IETF Secretariat and any
   assurances of licenses to be made available, or the result of an
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   such proprietary rights by implementers or users of this
   specification can be obtained from the IETF on-line IPR repository at
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   The IETF invites any interested party to bring to its attention any
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Acknowledgement

   Funding for the RFC Editor function is currently provided by the
   Internet Society.









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