Internet-Draft Proportional Rate Reduction November 2024
Mathis, et al. Expires 13 May 2025 [Page]
Workgroup:
TCP Maintenance Working Group
Obsoletes:
6937 (if approved)
Published:
Intended Status:
Standards Track
Expires:
Authors:
M. Mathis
N. Dukkipati
Google, Inc.
Y. Cheng
Google, Inc.
N. Cardwell
Google, Inc.

Proportional Rate Reduction for TCP

Abstract

This document updates the experimental Proportional Rate Reduction (PRR) algorithm, described RFC 6937, to standards track. PRR provides logic to regulate the amount of data sent by TCP or other transport protocols during fast recovery. PRR accurately regulates the actual flight size through recovery such that at the end of recovery it will be as close as possible to the slow start threshold (ssthresh), as determined by the congestion control algorithm.

Status of This Memo

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

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

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This Internet-Draft will expire on 13 May 2025.

Table of Contents

1. Introduction

This document updates the Proportional Rate Reduction (PRR) algorithm described in [RFC6937] from experimental to standards track. PRR smoothly regulates the amount of data sent during fast recovery, such that at the end of recovery the flight size will be as close as possible to the slow start threshold (ssthresh), as determined by the congestion control algorithm. PRR has been deployed in at least three major TCP implementations covering the vast majority of today's web traffic.

This document specifies several main changes from RFC 6937. First, it introduces a new heuristic that replaces a manual configuration parameter that determined how conservative PRR was when the volume of in-flight data was less than ssthresh. Second, the algorithm specifies behavior for non-SACK connections. Third, the algorithm ensures a smooth sending process even when the sender has experienced high reordering and starts loss recovery after a large amount of sequence space has been SACKed. Finally, this document also includes additional discussion about the integration of PRR with congestion control and lost detection algorithms.

The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in [RFC2119].

1.1. Document and WG Information

Formatted: 2024-11-09 20:55:47+00:00

Please send all comments, questions and feedback to [email protected]

About revision 00:

The introduction above was drawn from draft-mathis-tcpm-rfc6937bis-00. All of the text below was copied verbatim from RFC 6937, to facilitate comparison between RFC 6937 and this document as it evolves.

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2. Background

Congestion control algorithms like Reno [RFC5681] and CUBIC [RFC9438] require that TCP (and other protocols) reduce their congestion window (cwnd) in response to losses. Fast recovery is the reference algorithm for making this adjustment using feedback from acknowledgements. Its stated goal is to recover TCP's self clock by relying on returning ACKs during recovery to clock more data into the network. Without PRR, fast recovery typically adjusts the window by waiting for a large fraction of a round-trip time (one half round-trip time of ACKs for Reno [RFC5681], or 30% of a round-trip time for CUBIC [RFC9438]) to pass before sending any data.

[RFC6675] makes fast recovery with Selective Acknowledgement (SACK) [RFC2018] more accurate by computing "pipe", a sender side estimate of the number of bytes still outstanding in the network. With [RFC6675], fast recovery is implemented by sending data as necessary on each ACK to allow pipe to rise to match ssthresh, the window size as determined by the congestion control algorithm. This protects fast recovery from timeouts in many cases where there are heavy losses, although not if the entire second half of the window of data or ACKs are lost. However, a single ACK carrying a SACK option that implies a large quantity of missing data can cause a step discontinuity in the pipe estimator, which can cause Fast Retransmit to send a burst of data.

PRR avoids these excess window adjustments such that at the end of recovery the actual window size will be as close as possible to ssthresh, the window size as determined by the congestion control algorithm. It uses the fraction that is appropriate for the target window chosen by the congestion control algorithm. During PRR, one of two additional Reduction Bound algorithms limits the total window reduction due to all mechanisms, including transient application stalls and the losses themselves.

We describe two slightly different Reduction Bound algorithms: Conservative Reduction Bound (CRB), which is strictly packet conserving; and a Slow Start Reduction Bound (SSRB), which is more aggressive than CRB by, at most, 1 segment per ACK. PRR-CRB meets the Strong Packet Conservation Bound described in Appendix A; however, in real networks it does not perform as well as the algorithms described in [RFC6675], which prove to be more aggressive in a significant number of cases. SSRB offers a compromise by allowing TCP to send 1 additional segment per ACK relative to CRB in some situations. Although SSRB is less aggressive than [RFC6675] (transmitting fewer segments or taking more time to transmit them), it outperforms due to the lower probability of additional losses during recovery.

The Strong Packet Conservation Bound on which PRR and both Reduction Bounds are based is patterned after Van Jacobson's packet conservation principle: segments delivered to the receiver are used as the clock to trigger sending the same number of segments back into the network. As much as possible, PRR and the Reduction Bound algorithms rely on this self clock process, and are only slightly affected by the accuracy of other estimators, such as the estimate of the volume of in-flight data. This is what gives the algorithms their precision in the presence of events that cause uncertainty in other estimators.

The original definition of the packet conservation principle [Jacobson88] treated packets that are presumed to be lost (e.g., marked as candidates for retransmission) as having left the network. This idea is reflected in the estimator for in-flight data used by PRR, but it is distinct from the Strong Packet Conservation Bound as described in Appendix A, which is defined solely on the basis of data arriving at the receiver.

3. Changes From RFC 6937

The largest change since [RFC6937] is the introduction of a new heuristic that uses good recovery progress (for TCP, when the latest ACK advances snd.una and does not indicate that a prior fast retransmit has been lost) to select the Reduction Bound. [RFC6937] left the choice of Reduction Bound to the discretion of the implementer but recommended to use SSRB by default. For all of the environments explored in earlier PRR research, the new heuristic is consistent with the old recommendation.

The paper "An Internet-Wide Analysis of Traffic Policing" [Flach2016policing] uncovered a crucial situation not previously explored, where both Reduction Bounds perform very poorly, but for different reasons. Under many configurations, token bucket traffic policers can suddenly start discarding a large fraction of the traffic when tokens are depleted, without any warning to the end systems. The transport congestion control has no opportunity to measure the token rate, and sets ssthresh based on the previously observed path performance. This value for ssthresh may cause a data rate that is substantially larger than the token replenishment rate, causing high loss. Under these conditions, both reduction bounds perform very poorly. PRR-CRB is too timid, sometimes causing very long recovery times at smaller than necessary windows, and PRR-SSRB is too aggressive, often causing many retransmissions to be lost for multiple rounds. Both cases lead to prolonged recovery, decimating application latency and/or goodput.

Investigating these environments led to the development of a "safeACK" heuristic to dynamically switch between Reduction Bounds: by default conservatively use PRR-CRB and only switch to PRR-SSRB when ACKs indicate the recovery is making good progress (snd.una is advancing without detecting any new losses). The SafeACK heuristic was experimented with in Google's CDN [Flach2016policing] and implemented in Linux since 2015.

This SafeACK heuristic is only invoked where losses, application-limited behavior, or other events cause the current estimate of in-flight data to fall below ssthresh. The high loss rates that make the heuristic essential are only common in the presence of heavy losses such as traffic policers [Flach2016policing]. In these environments the heuristic serves to salvage a bad situation and any reasonable implementation of the heuristic performs far better than either bound by itself.

Another PRR algorithm change improves the sending process when the sender enters recovery after a large portion of sequence space has been SACKed. This scenario could happen when the sender has previously detected reordering, for example, by using [RFC8985]. In the previous version of PRR, RecoverFS did not properly account for sequence ranges SACKed before entering fast recovery, which caused PRR to send too slow initially. With the change, PRR initializes RecoverFS to "inflight", the data sender's best estimate of the number of bytes outstanding in the network, for SACK connections.

Yet another change is to force a fast retransmit upon the first ACK that triggers the recovery. Previously, PRR may not allow a fast retransmit (i.e. sndcnt is 0) on the first ACK in fast recovery, depending on the loss situation. Forcing a fast retransmit is important to maintain the ACK clock and avoid potential RTO events. The forced fast retransmit only happens once during the entire recovery and still follows the packet conservation principles in PRR. This heuristic has been implemented since the first widely deployed TCP PRR implementation in 2011.

A final change: upon exiting recovery, a data sender SHOULD set cwnd to ssthresh. This is important for robust performance. Without setting cwnd to ssthresh at the end of recovery, with application-limited sender behavior and some loss patterns cwnd could end fast recovery well below ssthresh, leading to bad performance. The performance could, in some cases, be worse than [RFC6675] recovery, which simply sets cwnd = ssthresh at the start of recovery. This behavior of setting cwnd to ssthresh at the end of recovery has been implemented since the first widely deployed TCP PRR implementation in 2011, and is similar to [RFC6675], which specifies setting cwnd to ssthresh at the start of recovery.

Since [RFC6937] was written, PRR has also been adapted to perform multiplicative window reduction for non-loss based congestion control algorithms, such as for [RFC3168] style ECN. This can be done by using some parts of the loss recovery state machine (in particular the RecoveryPoint from [RFC6675]) to invoke the PRR ACK processing for exactly one round trip worth of ACKs. However, note that using PRR for for cwnd reductions for [RFC3168] ECN has been observed, with some ECN AQMs, to cause an excess cwnd reduction during ECN-triggered congestion episodes, as noted in [VCC].

For [RFC6937] we published a companion paper [IMC11] in which we evaluated [RFC3517] and various experimental PRR versions in a large scale measurement study. Today, the legacy algorithms used in that study have already faded from code bases, making such comparisons impossible without recreating historical algorithms. Readers interested in the measurement study should review section 5 of RFC 6937 and the IMC paper [IMC11].

4. Relationships to other standards

PRR MAY be used in conjunction with any congestion control algorithm that intends to make a multiplicative decrease in its sending rate over approximately the time scale of one round trip time, as long as the current volume of in-flight data is limited by a congestion window (cwnd) and the target volume of in-flight data during that reduction is a fixed value given by ssthresh. In particular, PRR is applicable to both Reno [RFC5681] and CUBIC [RFC9438] congestion control. PRR is described as a modification to "A Conservative Loss Recovery Algorithm Based on Selective Acknowledgment (SACK) for TCP" [RFC6675]. It is most accurate with SACK [RFC2018] but does not require SACK.

The SafeACK heuristic came about as a result of robust Lost Retransmission Detection under development in an early precursor to [RFC8985]. Without Lost Retransmission Detection, policers that cause very high loss rates are at very high risk of causing retransmission timeouts because Reno [RFC5681], CUBIC [RFC9438], and [RFC6675] can send retransmissions significantly above the policed rate. It is RECOMMENDED that PRR is implemented together with RACK-TLP loss recovery [RFC8985].

5. Definitions

The following terms, parameters, and state variables are used as they are defined in earlier documents:

[RFC9293]: snd.una (send unacknowledged).

[RFC5681]: duplicate ACK, FlightSize, Sender Maximum Segment Size (SMSS).

[RFC6675]: covered (as in "covered sequence numbers").

PRR defines additional variables and terms:

DeliveredData: The total number of bytes that the current ACK indicates have been delivered to the receiver. When there are no SACKed sequence ranges in the scoreboard before or after the ACK, DeliveredData is the change in snd.una. With SACK, DeliveredData can be computed precisely as the change in snd.una, plus the (signed) change in SACKed. In recovery without SACK, DeliveredData is estimated to be 1 SMSS on receiving a duplicate acknowledgement, and on a subsequent partial or full ACK DeliveredData is the change in snd.una, minus 1 SMSS for each preceding duplicate ACK. Note that without SACK, a poorly-behaved receiver that returns extraneous DUPACKs (as described in [Savage99]) could attempt to artificially inflate DeliveredData. As a mitigation, if not using SACK then PRR disallows incrementing DeliveredData when the total bytes delivered in a PRR episode would exceed the estimated data outstanding upon entering recovery (RecoverFS).

inflight: The data sender's best estimate of the number of bytes outstanding in the network. To calculate inflight, connections with SACK enabled and using [RFC6675] loss detection MAY use the "pipe" algorithm as specified in [RFC6675]. SACK-enabled connections using RACK-TLP loss detection [RFC8985] or other loss detection algorithms MUST calculate inflight by starting with SND.NXT - SND.UNA, subtracting out bytes SACKed in the scoreboard, subtracting out bytes marked lost in the scoreboard, and adding bytes in the scoreboard that have been retransmitted since they were last marked lost. For non-SACK-enabled connections, instead of subtracting out bytes SACKed in the SACK scoreboard, senders MUST subtract out: min(RecoverFS, 1 SMSS for each preceding duplicate ACK in the fast recovery episode); the min() with RecoverFS is to protect against misbehaving receivers [Savage99].

RecoverFS: The "recovery flight size", the number of bytes the sender estimates are in flight in the network upon entering fast recovery. PRR uses RecoverFS to compute a smooth sending rate. Upon entering fast recovery, PRR initializes RecoverFS to "inflight". RecoverFS remains constant during a given fast recovery episode.

safeACK: A local boolean variable indicating that the current ACK reported good progress. SafeACK is true only when the ACK has cumulatively acknowledged new data and the ACK does not indicate further losses. For example, an ACK triggering RFC6675 "last resort" retransmission (Section 4, NextSeg() condition 4) may indicate further losses. Both conditions indicate the recovery is making good progress and can send more aggressively.

sndcnt: A local variable indicating exactly how many bytes should be sent in response to each ACK. Note that the decision of which data to send (e.g., retransmit missing data or send more new data) is out of scope for this document.

Voluntary window reductions: choosing not to send data in response to some ACKs, for the purpose of reducing the sending window size and data rate.

6. Algorithm

At the beginning of a congestion control response episode initiated by the congestion control algorithm, a TCP data sender using PRR MUST initialize the PRR state.

The timing of the start of a congestion control response episode is entirely up to the congestion control algorithm, and (for example) could correspond to the start of a fast recovery episode, or a once-per-round-trip reduction when lost retransmits or lost original transmissions are detected after fast recovery is already in progress.

The PRR initialization allows a modern congestion control algorithm, CongCtrlAlg(), that might set ssthresh to something other than FlightSize/2 (including, e.g., CUBIC [RFC9438]):

   ssthresh = CongCtrlAlg()      // Target flight size in recovery
   prr_delivered = 0             // Total bytes delivered in recovery
   prr_out = 0                   // Total bytes sent in recovery
   RecoverFS = snd.nxt - snd.una
   // Bytes SACKed before entering recovery will not be
   // marked as delivered during recovery:
   RecoverFS -= (bytes SACKed in scoreboard) - (bytes newly SACKed)
   // Include the (rare) case of cumulatively ACKed bytes:
   RecoverFS += (bytes newly cumulatively acknowledged)
On every ACK starting or during fast recovery,
excluding the ACK that concludes a PRR episode:


   if (DeliveredData is 0)
      Return


   prr_delivered += DeliveredData
   inflight = (estimated volume of in-flight data)
   safeACK = (snd.una advances and no further loss indicated)
   if (inflight > ssthresh) {
      // Proportional Rate Reduction
      sndcnt = CEIL(prr_delivered * ssthresh / RecoverFS) - prr_out
   } else {
      // PRR-CRB by default
      sndcnt = MAX(prr_delivered - prr_out, DeliveredData)
      if (safeACK) {
         // PRR-SSRB when recovery is in good progress
         sndcnt += MSS
      }
      // Attempt to catch up, as permitted
      sndcnt = MIN(ssthresh - inflight, sndcnt)
   }


   if (prr_out is 0 AND sndcnt is 0) {
      // Force a fast retransmit upon entering recovery
      sndcnt = MSS
   }
   cwnd = inflight + sndcnt


On any data transmission or retransmission:
   prr_out += (data sent)

A PRR episode ends upon either completing fast recovery, or before initiating a new PRR episode due to a new congestion control response episode.

On the completion of a PRR episode:
   cwnd = ssthresh

Note that this step that sets cwnd to ssthresh can potentially, in some scenarios, allow a burst of back-to-back segments into the network. As with common scenarios that could allow bursts, such as restarting from idle, it is RECOMMENDED that implementations use pacing to reduce the burstiness of traffic.

7. Examples

We illustrate these algorithms by showing their different behaviors for two scenarios: TCP experiencing either a single loss or a burst of 15 consecutive losses. In all cases we assume bulk data (no application pauses), Reno congestion control [RFC5681], and cwnd = FlightSize = inflight = 20 segments, so ssthresh will be set to 10 at the beginning of recovery. We also assume standard Fast Retransmit and Limited Transmit [RFC3042], so TCP will send 2 new segments followed by 1 retransmit in response to the first 3 duplicate ACKs following the losses.

Each of the diagrams below shows the per ACK response to the first round trip for the various recovery algorithms when the zeroth segment is lost. The top line indicates the transmitted segment number triggering the ACKs, with an X for the lost segment. "cwnd" and "infl" indicate the values of cwnd and inflight, respectively, for these algorithms after processing each returning ACK but before further (re)transmission. "Sent" indicates how much 'N'ew or 'R'etransmitted data would be sent. Note that the algorithms for deciding which data to send are out of scope of this document.

RFC 6675
ack#   X  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22
cwnd:    20 20 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
infl:    19 19 18 18 17 16 15 14 13 12 11 10  9  9  9  9  9  9  9  9  9  9
sent:     N  N  R                             N  N  N  N  N  N  N  N  N  N




PRR
ack#   X  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22
cwnd:    20 20 19 18 18 17 17 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10
infl:    19 19 18 18 17 17 16 16 15 15 14 14 13 13 12 12 11 11 10 10  9  9
sent:     N  N  R     N     N     N     N     N     N     N     N     N  N

Figure 1

In this first example, ACK#1 through ACK#19 contain SACKs for the original flight of data, ACK#20 and ACK#21 carry SACKs for the limited transmits triggered by the first and second SACKed segments, and ACK#22 carries the full cumulative ACK covering all data up through the limited transmits. ACK#22 completes the fast recovery episode, and thus completes the PRR episode.

Note that both algorithms send the same total amount of data. RFC 6675 experiences a "half window of silence" while PRR spreads the voluntary window reduction across an entire RTT.

Next, we consider the same initial conditions when the first 15 packets (0-14) are lost. During the remainder of the lossy round trip, only 5 ACKs are returned to the sender. We examine each of these algorithms in succession.

RFC 6675
ack#   X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  15 16 17 18 19
cwnd:                                               20 20 10 10 10
infl:                                               19 19  4  9  9
sent:                                                N  N 6R  R  R




PRR
ack#   X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  15 16 17 18 19
cwnd:                                               20 20  5  5  5
infl:                                               19 19  4  4  4
sent:                                                N  N  R  R  R


Figure 2

In this specific situation, RFC 6675 is more aggressive because once Fast Retransmit is triggered (on the ACK for segment 17), TCP immediately retransmits sufficient data to bring inflight up to cwnd. Our earlier measurements [RFC 6937 section 6] indicates that RFC 6675 significantly outperforms PRR, and some other similarly conservative algorithms that we tested, showing that it is significantly common for the actual losses to exceed the window reduction determined by the congestion control algorithm.

Under such heavy losses, PRR uses the PRR-CRB to follow the packet conservation principle. Since the total losses bring inflight below ssthresh, data is sent such that the total data transmitted, prr_out, follows the total data delivered to the receiver as reported by returning ACKs. Transmission is controlled by the sending limit, which is set to prr_delivered - prr_out. PRR-CRB conservative window reduction causes it to take excessively long to recover the losses and exposes it to additional timeouts.

While not shown in the figure above, once the fast retransmits sent upon ACK#17 deliver and solicit further ACKs that increment the snd.una, PRR enters PRR-SSRB and increases the window by exactly 1 segment per ACK until inflight rises to ssthresh during recovery. On heavy losses when cwnd is large, PRR-SSRB recovers the losses exponentially faster than PRR-CRB. Although increasing the window during recovery seems to be ill advised, it is important to remember that this is actually less aggressive than permitted by [RFC6675], which sends the same quantity of additional data as a single burst in response to the ACK that triggered Fast Retransmit.

For less severe loss events, where the total losses are smaller than the difference between FlightSize and ssthresh, PRR-CRB and PRR-SSRB are not invoked since PRR stays in the proportional rate reduction mode.

8. Properties

The following properties are common to both PRR-CRB and PRR-SSRB, except as noted:

PRR maintains TCP's ACK clocking across most recovery events, including burst losses. RFC 6675 can send large unclocked bursts following burst losses.

Normally, PRR will spread voluntary window reductions out evenly across a full RTT. This has the potential to generally reduce the burstiness of Internet traffic, and could be considered to be a type of soft pacing. Hypothetically, any pacing increases the probability that different flows are interleaved, reducing the opportunity for ACK compression and other phenomena that increase traffic burstiness. However, these effects have not been quantified.

If there are minimal losses, PRR will converge to exactly the target window chosen by the congestion control algorithm. Note that as TCP approaches the end of recovery, prr_delivered will approach RecoverFS and sndcnt will be computed such that prr_out approaches ssthresh.

Implicit window reductions, due to multiple isolated losses during recovery, cause later voluntary reductions to be skipped. For small numbers of losses, the window size ends at exactly the window chosen by the congestion control algorithm.

For burst losses, earlier voluntary window reductions can be undone by sending extra segments in response to ACKs arriving later during recovery. Note that as long as some voluntary window reductions are not undone, and there is no application stall, the final value for inflight will be the same as ssthresh, the target cwnd value chosen by the congestion control algorithm.

PRR with either Reduction Bound improves the situation when there are application stalls, e.g., when the sending application does not queue data for transmission quickly enough or the receiver stops advancing rwnd (receiver window). When there is an application stall early during recovery, prr_out will fall behind the sum of transmissions allowed by sndcnt. The missed opportunities to send due to stalls are treated like banked voluntary window reductions; specifically, they cause prr_delivered - prr_out to be significantly positive. If the application catches up while TCP is still in recovery, TCP will send a partial window burst to catch up to exactly where it would have been had the application never stalled. Although this burst might be viewed as being hard on the network, this is exactly what happens every time there is a partial RTT application stall while not in recovery. We have made partial RTT stall behavior uniform in all states. Changing this behavior is out of scope for this document.

PRR with Reduction Bound is less sensitive to errors in the inflight estimator. While in recovery, inflight is intrinsically an estimator, using incomplete information to estimate if un-SACKed segments are actually lost or merely out of order in the network. Under some conditions, inflight can have significant errors; for example, inflight is underestimated when a burst of reordered data is prematurely assumed to be lost and marked for retransmission. If the transmissions are regulated directly by inflight as they are with RFC 6675, a step discontinuity in the inflight estimator causes a burst of data, which cannot be retracted once the inflight estimator is corrected a few ACKs later. For PRR dynamics, inflight merely determines which algorithm, PRR or the Reduction Bound, is used to compute sndcnt from DeliveredData. While inflight is underestimated, the algorithms are different by at most 1 segment per ACK. Once inflight is updated, they converge to the same final window at the end of recovery.

Under all conditions and sequences of events during recovery, PRR-CRB strictly bounds the data transmitted to be equal to or less than the amount of data delivered to the receiver. We claim that this Strong Packet Conservation Bound is the most aggressive algorithm that does not lead to additional forced losses in some environments. It has the property that if there is a standing queue at a bottleneck with no cross traffic, the queue will maintain exactly constant length for the duration of the recovery, except for +1/-1 fluctuation due to differences in packet arrival and exit times. See Appendix A for a detailed discussion of this property.

Although the Strong Packet Conservation Bound is very appealing for a number of reasons, our earlier measurements [RFC 6937 section 6] demonstrate that it is less aggressive and does not perform as well as RFC 6675, which permits bursts of data when there are bursts of losses. PRR-SSRB is a compromise that permits TCP to send 1 extra segment per ACK as compared to the Packet Conserving Bound when the ACK indicates the recovery is in good progress without further losses. From the perspective of a strict Packet Conserving Bound, PRR-SSRB does indeed open the window during recovery; however, it is significantly less aggressive than [RFC6675] in the presence of burst losses. The [RFC6675] "half window of silence" may temporarily reduce queue pressure when congestion control does not reduce the congestion window entering recovery to avoid further losses. The goal of PRR is to minimize the opportunities to lose the self clock by accurately controlling flightsize to the target set by the congestion control. It is the congestion control's responsibility to avoid a full queue, not PRR.

9. Adapting PRR to other transport protocols

The main PRR algorithm and reductions bounds can be adapted to any transport that can support RFC 6675. In one major implementation (Linux TCP), PRR has been the default fast recovery algorithm for its default and supported congestion control modules.

The safeACK heuristic can be generalized as any ACK of a retransmission that does not cause some other segment to be marked for retransmission. That is, PRR_SSRB is safe on any ACK that reduces the total number of pending and outstanding retransmissions.

10. Acknowledgements

This document is based in part on previous work by Janey C. Hoe (see section 3.2, "Recovery from Multiple Packet Losses", of [Hoe96Startup]) and Matt Mathis, Jeff Semke, and Jamshid Mahdavi [RHID], and influenced by several discussions with John Heffner.

Monia Ghobadi and Sivasankar Radhakrishnan helped analyze the experiments. Ilpo Jarvinen reviewed the initial implementation. Mark Allman, Richard Scheffenegger, Markku Kojo, and Mirja Kuehlewind improved the document through their insightful reviews and suggestions.

11. IANA Considerations

This memo includes no request to IANA.

12. Security Considerations

PRR does not change the risk profile for TCP.

Implementers that change PRR from counting bytes to segments have to be cautious about the effects of ACK splitting attacks [Savage99], where the receiver acknowledges partial segments for the purpose of confusing the sender's congestion accounting.

13. Normative References

[RFC2018]
Mathis, M., Mahdavi, J., Floyd, S., and A. Romanow, "TCP Selective Acknowledgment Options", RFC 2018, DOI 10.17487/RFC2018, , <https://www.rfc-editor.org/info/rfc2018>.
[RFC2119]
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <https://www.rfc-editor.org/info/rfc2119>.
[RFC5681]
Allman, M., Paxson, V., and E. Blanton, "TCP Congestion Control", RFC 5681, DOI 10.17487/RFC5681, , <https://www.rfc-editor.org/info/rfc5681>.
[RFC6675]
Blanton, E., Allman, M., Wang, L., Jarvinen, I., Kojo, M., and Y. Nishida, "A Conservative Loss Recovery Algorithm Based on Selective Acknowledgment (SACK) for TCP", RFC 6675, DOI 10.17487/RFC6675, , <https://www.rfc-editor.org/info/rfc6675>.
[RFC8985]
Cheng, Y., Cardwell, N., Dukkipati, N., and P. Jha, "The RACK-TLP Loss Detection Algorithm for TCP", RFC 8985, DOI 10.17487/RFC8985, , <https://www.rfc-editor.org/info/rfc8985>.
[RFC9293]
Eddy, W., Ed., "Transmission Control Protocol (TCP)", STD 7, RFC 9293, DOI 10.17487/RFC9293, , <https://www.rfc-editor.org/info/rfc9293>.
[RFC9438]
Xu, L., Ha, S., Rhee, I., Goel, V., and L. Eggert, Ed., "CUBIC for Fast and Long-Distance Networks", RFC 9438, DOI 10.17487/RFC9438, , <https://www.rfc-editor.org/info/rfc9438>.

14. Informative References

[Flach2016policing]
Flach, T., Papageorge, P., Terzis, A., Pedrosa, L., Cheng, Y., Al Karim, T., Katz-Bassett, E., and R. Govindan, "An Internet-Wide Analysis of Traffic Policing", ACM SIGCOMM SIGCOMM2016, .
[Hoe96Startup]
Hoe, J., "Improving the start-up behavior of a congestion control scheme for TCP", ACM SIGCOMM SIGCOMM1996, .
[IMC11]
Dukkipati, N., Mathis, M., Cheng, Y., and M. Ghobadi, "Proportional Rate Reduction for TCP", Proceedings of the 11th ACM SIGCOMM Conference on Internet Measurement 2011, Berlin, Germany, .
[Jacobson88]
Jacobson, V., "Congestion Avoidance and Control", SIGCOMM Comput. Commun. Rev. 18(4), .
[RFC3042]
Allman, M., Balakrishnan, H., and S. Floyd, "Enhancing TCP's Loss Recovery Using Limited Transmit", RFC 3042, DOI 10.17487/RFC3042, , <https://www.rfc-editor.org/info/rfc3042>.
[RFC3168]
Ramakrishnan, K., Floyd, S., and D. Black, "The Addition of Explicit Congestion Notification (ECN) to IP", RFC 3168, DOI 10.17487/RFC3168, , <https://www.rfc-editor.org/info/rfc3168>.
[RFC3517]
Blanton, E., Allman, M., Fall, K., and L. Wang, "A Conservative Selective Acknowledgment (SACK)-based Loss Recovery Algorithm for TCP", RFC 3517, DOI 10.17487/RFC3517, , <https://www.rfc-editor.org/info/rfc3517>.
[RFC6937]
Mathis, M., Dukkipati, N., and Y. Cheng, "Proportional Rate Reduction for TCP", RFC 6937, DOI 10.17487/RFC6937, , <https://www.rfc-editor.org/info/rfc6937>.
[RHID]
Mathis, M., Semke, J., and J. Mahdavi, "The Rate-Halving Algorithm for TCP Congestion Control", Work in Progress, , <https://datatracker.ietf.org/doc/html/draft-mathis-tcp-ratehalving>.
[Savage99]
Savage, S., Cardwell, N., Wetherall, D., and T. Anderson, "TCP congestion control with a misbehaving receiver", SIGCOMM Comput. Commun. Rev. 29(5), .
[VCC]
Cronkite-Ratcliff, B., Bergman, A., Vargaftik, S., Ravi, M., McKeown, N., Abraham, I., and I. Keslassy, "Virtualized Congestion Control (Extended Version)", , <http://www.ee.technion.ac.il/~isaac/p/sigcomm16_vcc_extended.pdf>.

Appendix A. Strong Packet Conservation Bound

PRR-CRB is based on a conservative, philosophically pure, and aesthetically appealing Strong Packet Conservation Bound, described here. Although inspired by the packet conservation principle [Jacobson88], it differs in how it treats segments that are missing and presumed lost. Under all conditions and sequences of events during recovery, PRR-CRB strictly bounds the data transmitted to be equal to or less than the amount of data delivered to the receiver. Note that the effects of presumed losses are included in the inflight calculation, but do not affect the outcome of PRR-CRB, once inflight has fallen below ssthresh.

We claim that this Strong Packet Conservation Bound is the most aggressive algorithm that does not lead to additional forced losses in some environments. It has the property that if there is a standing queue at a bottleneck that is carrying no other traffic, the queue will maintain exactly constant length for the entire duration of the recovery, except for +1/-1 fluctuation due to differences in packet arrival and exit times. Any less aggressive algorithm will result in a declining queue at the bottleneck. Any more aggressive algorithm will result in an increasing queue or additional losses if it is a full drop tail queue.

We demonstrate this property with a little thought experiment:

Imagine a network path that has insignificant delays in both directions, except for the processing time and queue at a single bottleneck in the forward path. By insignificant delay, we mean when a packet is "served" at the head of the bottleneck queue, the following events happen in much less than one bottleneck packet time: the packet arrives at the receiver; the receiver sends an ACK that arrives at the sender; the sender processes the ACK and sends some data; the data is queued at the bottleneck.

If sndcnt is set to DeliveredData and nothing else is inhibiting sending data, then clearly the data arriving at the bottleneck queue will exactly replace the data that was served at the head of the queue, so the queue will have a constant length. If queue is drop tail and full, then the queue will stay exactly full. Losses or reordering on the ACK path only cause wider fluctuations in the queue size, but do not raise its peak size, independent of whether the data is in order or out of order (including loss recovery from an earlier RTT). Any more aggressive algorithm that sends additional data will overflow the drop tail queue and cause loss. Any less aggressive algorithm will under-fill the queue. Therefore, setting sndcnt to DeliveredData is the most aggressive algorithm that does not cause forced losses in this simple network. Relaxing the assumptions (e.g., making delays more authentic and adding more flows, delayed ACKs, etc.) is likely to increase the fine grained fluctuations in queue size but does not change its basic behavior.

Note that the congestion control algorithm implements a broader notion of optimal that includes appropriately sharing the network. Typical congestion control algorithms are likely to reduce the data sent relative to the Packet Conserving Bound implemented by PRR, bringing TCP's actual window down to ssthresh.

Authors' Addresses

Matt Mathis
Nandita Dukkipati
Google, Inc.
Yuchung Cheng
Google, Inc.
Neal Cardwell
Google, Inc.