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INFORMATIONAL
Internet Engineering Task Force (IETF)                          G. WhiteRequest for Comments: 8034                                     CableLabsCategory: Informational                                           R. PanISSN: 2070-1721                                            Cisco Systems                                                           February 2017Active Queue Management (AQM) Based onProportional Integral Controller Enhanced (PIE) forData-Over-Cable Service Interface Specifications (DOCSIS) Cable ModemsAbstract   Cable modems based on Data-Over-Cable Service Interface   Specifications (DOCSIS) provide broadband Internet access to over one   hundred million users worldwide.  In some cases, the cable modem   connection is the bottleneck (lowest speed) link between the customer   and the Internet.  As a result, the impact of buffering and   bufferbloat in the cable modem can have a significant effect on user   experience.  The CableLabs DOCSIS 3.1 specification introduces   requirements for cable modems to support an Active Queue Management   (AQM) algorithm that is intended to alleviate the impact that   buffering has on latency-sensitive traffic, while preserving bulk   throughput performance.  In addition, the CableLabs DOCSIS 3.0   specifications have also been amended to contain similar   requirements.  This document describes the requirements on AQM that   apply to DOCSIS equipment, including a description of the   "DOCSIS-PIE" algorithm that is required on DOCSIS 3.1 cable modems.Status of This Memo   This document is not an Internet Standards Track specification; it is   published for informational purposes.   This document is a product of the Internet Engineering Task Force   (IETF).  It represents the consensus of the IETF community.  It has   received public review and has been approved for publication by the   Internet Engineering Steering Group (IESG).  Not all documents   approved by the IESG are a candidate for any level of Internet   Standard; seeSection 2 of RFC 7841.   Information about the current status of this document, any errata,   and how to provide feedback on it may be obtained athttp://www.rfc-editor.org/info/rfc8034.White & Pan                   Informational                     [Page 1]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017Copyright Notice   Copyright (c) 2017 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents   (http://trustee.ietf.org/license-info) in effect on the date of   publication of this document.  Please review these documents   carefully, as they describe your rights and restrictions with respect   to this document.  Code Components extracted from this document must   include Simplified BSD License text as described in Section 4.e of   the Trust Legal Provisions and are provided without warranty as   described in the Simplified BSD License.Table of Contents1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .32.  Overview of DOCSIS AQM Requirements . . . . . . . . . . . . .33.  The DOCSIS MAC Layer and Service Flows  . . . . . . . . . . .44.  DOCSIS-PIE vs. PIE  . . . . . . . . . . . . . . . . . . . . .54.1.  Latency Target  . . . . . . . . . . . . . . . . . . . . .54.2.  Departure Rate Estimation . . . . . . . . . . . . . . . .64.3.  Enhanced Burst Protection . . . . . . . . . . . . . . . .74.4.  Expanded Auto-Tuning Range  . . . . . . . . . . . . . . .74.5.  Trigger for Exponential Decay . . . . . . . . . . . . . .84.6.  Drop Probability Scaling  . . . . . . . . . . . . . . . .84.7.  Support for Explicit Congestion Notification  . . . . . .85.  Implementation Guidance . . . . . . . . . . . . . . . . . . .96.  Security Considerations . . . . . . . . . . . . . . . . . . .97.  References  . . . . . . . . . . . . . . . . . . . . . . . . .107.1.  Normative References  . . . . . . . . . . . . . . . . . .107.2.  Informative References  . . . . . . . . . . . . . . . . .10Appendix A.  DOCSIS-PIE Algorithm Definition  . . . . . . . . . .11A.1.  DOCSIS-PIE AQM Constants and Variables  . . . . . . . . .11A.1.1.  Configuration Parameters  . . . . . . . . . . . . . .11A.1.2.  Constant Values . . . . . . . . . . . . . . . . . . .11A.1.3.  Variables . . . . . . . . . . . . . . . . . . . . . .12A.1.4.  Public/System Functions . . . . . . . . . . . . . . .12A.2.  DOCSIS-PIE AQM Control Path . . . . . . . . . . . . . . .13A.3.  DOCSIS-PIE AQM Data Path  . . . . . . . . . . . . . . . .15   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .17White & Pan                   Informational                     [Page 2]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 20171.  Introduction   A recent resurgence of interest in active queue management, arising   from a recognition of the inadequacies of drop-tail queuing in the   presence of loss-based congestion control algorithms, has resulted in   the development of new algorithms that appear to provide very good   congestion feedback to current TCP algorithms, while also having   operational simplicity and low complexity.  One of these algorithms   has been selected as a requirement for cable modems built according   to the DOCSIS 3.1 specification [DOCSIS_3.1].  The Data-Over-Cable   Service Interface Specifications (DOCSIS) define the broadband   technology deployed worldwide for Ethernet and IP service over hybrid   fiber-coaxial cable systems.  The most recent revision of the DOCSIS   technology, version 3.1, was originally published in October 2013 and   provides support for up to 10 Gbps downstream (toward the customer)   and 1 Gbps upstream (from the customer) capacity over existing cable   networks.  Previous versions of the DOCSIS technology did not contain   requirements for AQM.  This document outlines the high-level AQM   requirements for DOCSIS systems, discusses some of the salient   features of the DOCSIS Media Access Control (MAC) layer, and   describes the DOCSIS-PIE algorithm -- largely by comparing it to its   progenitor, the PIE algorithm [RFC8033].2.  Overview of DOCSIS AQM Requirements   CableLabs' DOCSIS 3.1 specification [DOCSIS_3.1] mandates that cable   modems implement a specific variant of the Proportional Integral   controller Enhanced (PIE) AQM algorithm [RFC8033].  This specific   variant is provided for reference inAppendix A, and simulation   results comparing it to drop-tail queuing and other AQM options are   given in [CommMag] and [DOCSIS-AQM].  In addition, CableLabs' DOCSIS   3.0 specification [DOCSIS_3.0] has been amended to recommend that   cable modems implement the same algorithm.  Both specifications allow   that cable modems can optionally implement additional algorithms that   can then be selected for use by the operator via the modem's   configuration file.   These requirements on the cable modem apply to upstream transmissions   (i.e., from the customer to the Internet).   Both specifications also include requirements (mandatory in DOCSIS   3.1 and recommended in DOCSIS 3.0) that the Cable Modem Termination   System (CMTS) implement AQM for downstream traffic; however, no   specific algorithm is defined for downstream use.White & Pan                   Informational                     [Page 3]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 20173.  The DOCSIS MAC Layer and Service Flows   The DOCSIS Media Access Control (sub-)layer provides tools for   configuring differentiated Quality of Service (QoS) for different   applications by the use of Packet Classifiers and Service Flows.   Each Service Flow has an associated QoS parameter set that defines   the treatment of the packets that traverse the Service Flow.  These   parameters include, for example, Minimum Reserved Traffic Rate,   Maximum Sustained Traffic Rate, Peak Traffic Rate, Maximum Traffic   Burst, and Traffic Priority.  Each upstream Service Flow corresponds   to a queue in the cable modem, and each downstream Service Flow   corresponds to a queue in the CMTS.  The DOCSIS AQM requirements   mandate that the CM and CMTS implement the AQM algorithm (and allow   it to be disabled, if needed) on each Service Flow queue   independently.   Packet Classifiers can match packets based upon several fields in the   packet/frame headers including the Ethernet header, IP header, and   TCP/UDP header.  Matched packets are then queued in the associated   Service Flow queue.   Each cable modem can be configured with multiple Packet Classifiers   and Service Flows.  The maximum number of such entities that a cable   modem supports is an implementation decision for the manufacturer,   but modems typically support 16 or 32 upstream Service Flows and at   least that many Packet Classifiers.  Similarly, the CMTS supports   multiple downstream Service Flows and multiple Packet Classifiers per   cable modem.   It is typical that upstream and downstream Service Flows used for   broadband Internet access are configured with a Maximum Sustained   Traffic Rate.  This QoS parameter rate-shapes the traffic onto the   DOCSIS link and is the main parameter that defines the service   offering.  Additionally, it is common that upstream and downstream   Service Flows are configured with a Maximum Traffic Burst and a Peak   Traffic Rate.  These parameters allow the service to burst at a   higher (sometimes significantly higher) rate than is defined in the   Maximum Sustained Traffic Rate for the amount of bytes configured in   Maximum Traffic Burst, as long as the long-term average data rate   remains at or below the Maximum Sustained Traffic Rate.White & Pan                   Informational                     [Page 4]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017   Mathematically, what is enforced is that the traffic placed on the   DOCSIS link in the time interval (t1,t2) complies with the following   rate-shaping equations:      TxBytes(t1,t2) <= (t2-t1)*R/8 + B      TxBytes(t1,t2) <= (t2-t1)*P/8 + 1522   for all values t2>t1, where:      R = Maximum Sustained Traffic Rate (bps)      P = Peak Traffic Rate (bps)      B = Maximum Traffic Burst (bytes)   The result of this configuration is that the link rate available to   the Service Flow varies based on the pattern of load.  If the load   that the Service Flow places on the link is less than the Maximum   Sustained Traffic Rate, the Service Flow "earns" credit that it can   then use (should the load increase) to burst at the Peak Traffic   Rate.  This dynamic is important since these rate changes   (particularly the decrease in data rate once the traffic burst credit   is exhausted) can induce a step increase in buffering latency.4.  DOCSIS-PIE vs. PIE   There are a number of differences between the version of the PIE   algorithm that is mandated for cable modems in the DOCSIS   specifications and the version described in [RFC8033].  These   differences are described in the following subsections.4.1.  Latency Target   The latency target (a.k.a. delay reference) is a key parameter that   affects, among other things, the trade-off in performance between   latency-sensitive applications and bulk TCP applications.  Via   simulation studies, a value of 10 ms was identified as providing a   good balance of performance.  However, it is recognized that there   may be service offerings for which this value doesn't provide the   best performance balance.  As a result, this is provided as a   configuration parameter that the operator can set independently on   each upstream Service Flow.  If not explicitly set by the operator,   the modem will use 10 ms as the default value.White & Pan                   Informational                     [Page 5]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 20174.2.  Departure Rate Estimation   The PIE algorithm utilizes a departure rate estimator to track   fluctuations in the egress rate for the queue and to generate a   smoothed estimate of this rate for use in the drop probability   calculation.  This estimator may be well suited to many link   technologies but is not ideal for DOCSIS upstream links for a number   of reasons.   First, the bursty nature of the upstream transmissions, in which the   queue drains at line rate (up to ~100 Mbps for DOCSIS 3.0 and ~1 Gbps   for DOCSIS 3.1) and then is blocked until the next transmit   opportunity, results in the potential for inaccuracy in measurement,   given that the PIE departure rate estimator starts each measurement   during a transmission burst and ends each measurement during a   (possibly different) transmission burst.  For example, in the case   where the start and end of measurement occur within a single burst,   the PIE estimator will calculate the egress rate to be equal to the   line rate, rather than the average rate available to the modem.   Second, the latency introduced by the DOCSIS request-grant mechanism   can result in some further inaccuracy.  In typical conditions, the   request-grant mechanism can add between ~4 ms and ~8 ms of latency to   the forwarding of upstream traffic.  Within that range, the amount of   additional latency that affects any individual data burst is   effectively random, being influenced by the arrival time of the burst   relative to the next request transmit opportunity, among other   factors.   Third, in the significant majority of cases, the departure rate,   while variable, is controlled by the modem itself via the pair of   token bucket rate-shaping equations described inSection 3.   Together, these two equations enforce a Maximum Sustained Traffic   Rate, a Peak Traffic Rate, and a Maximum Traffic Burst size for the   modem's requested bandwidth.  The implication of this is that the   modem, in the significant majority of cases, will know precisely what   the departure rate will be and can predict exactly when transitions   between the Peak Traffic Rate and Maximum Sustained Traffic Rate will   occur.  Compare this to the PIE estimator, which would be simply   reacting to (and smoothing its estimate of) those rate transitions   after the fact.   Finally, since the modem is already implementing the dual-token   bucket traffic shaper, it contains enough internal state to calculate   predicted queuing delay with a minimum of computations.  Furthermore,   these computations only need to be run at every drop probability   update interval, as opposed to the PIE estimator, which runs a   similar number of computations on each packet dequeue event.White & Pan                   Informational                     [Page 6]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017   For these reasons, the DOCSIS-PIE algorithm utilizes the   configuration and state of the dual-token bucket traffic shaper to   translate queue depth into predicted queuing delay, rather than   implementing the departure rate estimator defined in PIE.4.3.  Enhanced Burst Protection   The PIE algorithm [RFC8033] has two states: INACTIVE and ACTIVE.   During the INACTIVE state, AQM packet drops are suppressed.  The   algorithm transitions to the ACTIVE state when the queue exceeds 1/3   of the buffer size.  Upon transition to the ACTIVE state, PIE   includes a burst protection feature in which the AQM packet drops are   suppressed for the first 150 ms.  Since DOCSIS-PIE is predominantly   deployed on consumer broadband connections, a more sophisticated   burst protection was developed to provide better performance in the   presence of a single TCP session.   Where the PIE algorithm has two states, DOCSIS-PIE has three.  The   INACTIVE and ACTIVE states in DOCSIS-PIE are identical to those   states in PIE.  The QUIESCENT state is a transitional state between   INACTIVE and ACTIVE.  The DOCSIS-PIE algorithm transitions from   INACTIVE to QUIESCENT when the queue exceeds 1/3 of the buffer size.   In the QUIESCENT state, packet drops are immediately enabled, and   upon the first packet drop, the algorithm transitions to the ACTIVE   state (where drop probability is reset to zero for the 150 ms   duration of the burst protection as in PIE).  From the ACTIVE state,   the algorithm transitions to QUIESCENT if the drop probability has   decayed to zero and the queuing latency has been less than half of   the LATENCY_TARGET for two update intervals.  The algorithm then   fully resets to the INACTIVE state if this "quiet" condition exists   for the duration of the BURST_RESET_TIMEOUT (1 second).  One end   result of the addition of the QUIESCENT state is that a single packet   drop can occur relatively early on during an initial burst, whereas   all drops would be suppressed for at least 150 ms of the burst   duration in PIE.  The other end result is that if traffic stops and   then resumes within 1 second, DOCSIS-PIE can directly drop a single   packet and then re-enter burst protection, whereas PIE would require   that the buffer exceed 1/3 full.4.4.  Expanded Auto-Tuning Range   The PIE algorithm scales the Proportional and Integral coefficients   based on the current drop probability.  The DOCSIS-PIE algorithm   extends this scaling to cover values of drop probability greater than   1, which can occur as a result of the drop probability scaling   function described inSection 4.6.  As an example, if a flood of non-   responsive 64-byte packets were to arrive at a rate that is twice theWhite & Pan                   Informational                     [Page 7]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017   departure rate, the DOCSIS-PIE steady-state condition would be to   drop 50% of these packets, which implies that drop probability would   have the value of 8.00.4.5.  Trigger for Exponential Decay   The PIE algorithm includes a mechanism by which the drop probability   is allowed to decay exponentially (rather than linearly) when it is   detected that the buffer is empty.  In the DOCSIS case, recently   arrived packets may reside in the buffer due to the request-grant   latency even if the link is effectively idle.  As a result, the   buffer may not be identically empty in the situations for which the   exponential decay is intended.  To compensate for this, we trigger   exponential decay when the buffer occupancy is less than 5 ms * Peak   Traffic Rate.4.6.  Drop Probability Scaling   The DOCSIS-PIE algorithm scales the calculated drop probability based   on the ratio of the packet size to a constant value of 1024 bytes   (representing approximate average packet size).  While [RFC7567] in   general recommends against this type of scaling, we note that DOCSIS-   PIE is expected to be used predominantly to manage upstream queues in   residential broadband deployments, where we believe the benefits   outweigh the disadvantages.  As a safeguard to prevent a flood of   small packets from starving flows that use larger packets, DOCSIS-PIE   limits the scaled probability to a defined maximum value of 0.85.4.7.  Support for Explicit Congestion Notification   DOCSIS-PIE does not include support for Explicit Congestion   Notification (ECN).  Cable modems are essentially IEEE 802.1d   Ethernet bridges and so are not designed to modify IP header fields.   Additionally, the packet-processing pipeline in a cable modem is   commonly implemented in hardware.  As a result, introducing support   for ECN would engender a significant redesign of cable modem data   path hardware, and would be difficult or impossible to modify in the   future.  At the time of the development of DOCSIS-PIE, which   coincided with the development of modem chip designs, the benefits of   ECN marking relative to packet drop were considered to be relatively   minor; there was considerable discussion about differential treatment   of ECN-capable packets in the AQM drop/mark decision, and there were   some initial suggestions that a new ECN approach was needed.  Due to   this uncertainty, we chose not to include support for ECN.White & Pan                   Informational                     [Page 8]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 20175.  Implementation Guidance   The AQM space is an evolving one, and it is expected that continued   research in this field may result in improved algorithms in the   future.   As part of defining the DOCSIS-PIE algorithm, we split the pseudocode   definition into two components: a "data path" component and a   "control path" component.  The control path component contains the   packet drop probability update functionality, whereas the data path   component contains the per-packet operations, including the drop   decision logic.   It is understood that some aspects of the cable modem implementation   may be done in hardware, particularly functions that handle packet   processing.   While the DOCSIS specifications don't mandate the internal   implementation details of the cable modem, modem implementers are   strongly advised against implementing the control path functionality   in hardware.  The intent of this advice is to retain the possibility   that future improvements in AQM algorithms can be accommodated via   software updates to deployed devices.6.  Security Considerations   This document describes an active queue management algorithm based on   [RFC8033] for implementation in DOCSIS cable modem devices.  This   algorithm introduces no specific security exposures.White & Pan                   Informational                     [Page 9]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 20177.  References7.1.  Normative References   [RFC8033]  Pan, R., Natarajan, P., Baker, F., and G. White,              "Proportional Integral Controller Enhanced (PIE): A              Lightweight Control Scheme to Address the Bufferbloat              Problem",RFC 8033, DOI 10.17487/RFC8033, February 2017,              <http://www.rfc-editor.org/info/rfc8033>.7.2.  Informative References   [CommMag]  White, G., "Active queue management in DOCSIS 3.1              networks", IEEE Communications Magazine vol. 53, no. 3,              pp. 126-132, DOI 10.1109/MCOM.2015.7060493, March 2015.   [DOCSIS-AQM]              White, G., "Active Queue Management in DOCSIS 3.x Cable              Modems", May 2014, <http://www.cablelabs.com/wp-content/uploads/2014/06/DOCSIS-AQM_May2014.pdf>.   [DOCSIS_3.0]              CableLabs, "MAC and Upper Layer Protocols Interface              Specification", DOCSIS 3.0, January 2017,              <https://apps.cablelabs.com/specification/CM-SP-MULPIv3.0>.   [DOCSIS_3.1]              CableLabs, "MAC and Upper Layer Protocols Interface              Specification", DOCSIS 3.1, January 2017,              <https://apps.cablelabs.com/specification/CM-SP-MULPIv3.1>.   [RFC7567]  Baker, F., Ed. and G. Fairhurst, Ed., "IETF              Recommendations Regarding Active Queue Management",BCP 197,RFC 7567, DOI 10.17487/RFC7567, July 2015,              <http://www.rfc-editor.org/info/rfc7567>.White & Pan                   Informational                    [Page 10]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017Appendix A.  DOCSIS-PIE Algorithm Definition   PIE defines two functions organized here into two design blocks:   1.  Control path block -- a periodically running algorithm that       calculates a drop probability based on the estimated queuing       latency and queuing latency trend.   2.  Data path block, a function that occurs on each packet enqueue       that implements a per-packet drop decision based on the drop       probability.   It is desirable to have the ability to update the control path block   based on operational experience with PIE deployments.A.1.  DOCSIS-PIE AQM Constants and VariablesA.1.1.  Configuration Parameters   o  LATENCY_TARGET.  AQM Latency Target for this Service Flow   o  PEAK_RATE.  Service Flow configured Peak Traffic Rate, expressed      in bytes/second   o  MSR.  Service Flow configured Maximum Sustained Traffic Rate,      expressed in bytes/second   o  BUFFER_SIZE.  The size (in bytes) of the buffer for this Service      FlowA.1.2.  Constant Values   o  A = 0.25, B = 2.5.  Weights in the drop probability calculation   o  INTERVAL = 16 ms.  Update interval for drop probability   o  BURST_RESET_TIMEOUT = 1 second   o  MAX_BURST = 142 ms (150 ms - 8 ms (update error))   o  MEAN_PKTSIZE = 1024 bytes   o  MIN_PKTSIZE = 64 bytes   o  PROB_LOW = 0.85   o  PROB_HIGH = 8.5White & Pan                   Informational                    [Page 11]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017   o  LATENCY_LOW = 5 ms   o  LATENCY_HIGH = 200 msA.1.3.  Variables   o  drop_prob_. The current packet drop probability   o  accu_prob_. Accumulated drop probability since last drop   o  qdelay_old_. The previous queue delay estimate   o  burst_allowance_. Countdown for burst protection, initialize to 0   o  burst_reset_. Counter to reset burst   o  aqm_state_. AQM activity state encoding 3 states:         INACTIVE - Queue staying below 1/3 full, suppress AQM drops         QUIESCENT - Transition state         ACTIVE - Normal AQM drops (after burst protection period)   o  queue_. Holds the pending packetsA.1.4.  Public/System Functions   o  drop(packet).  Drops/discards a packet   o  random().  Returns a uniform random value in the range 0 ~ 1   o  queue_.is_full().  Returns true if queue_ is full   o  queue_.byte_length().  Returns current queue_ length in bytes,      including all MAC PDU bytes without DOCSIS MAC overhead   o  queue_.enque(packet).  Adds packet to tail of queue_   o  msrtokens().  Returns current token credits (in bytes) from the      Maximum Sustained Traffic Rate token bucket   o  packet.size().  Returns size of packetWhite & Pan                   Informational                    [Page 12]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017A.2.  DOCSIS-PIE AQM Control Path   The DOCSIS-PIE control path performs the following:   o  Calls control_path_init() at Service Flow creation   o  Calls calculate_drop_prob() at a regular INTERVAL (16 ms)   ================   //  Initialization function   control_path_init() {       drop_prob_ = 0;       qdelay_old_ = 0;       burst_reset_ = 0;       aqm_state_ = INACTIVE;   }   //  Background update, occurs every INTERVAL   calculate_drop_prob() {       if (queue_.byte_length() <= msrtokens()) {           qdelay = queue_.byte_length() / PEAK_RATE;       } else {           qdelay = ((queue_.byte_length() - msrtokens()) / MSR \                     +  msrtokens() / PEAK_RATE);       }       if (burst_allowance_ > 0) {           drop_prob_ = 0;           burst_allowance_ = max(0, burst_allowance_ - INTERVAL);       } else {           p = A * (qdelay - LATENCY_TARGET) + \               B * (qdelay - qdelay_old_);           // Since A=0.25 & B=2.5, can be implemented           // with shift and add           if (drop_prob_ < 0.000001) {               p /= 2048;           } else if (drop_prob_ < 0.00001) {               p /= 512;           } else if (drop_prob_ < 0.0001) {               p /= 128;           } else if (drop_prob_ < 0.001) {               p /= 32;           } else if (drop_prob_ < 0.01) {               p /= 8;White & Pan                   Informational                    [Page 13]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017           } else if (drop_prob_ < 0.1) {               p /= 2;           } else if (drop_prob_ < 1) {               p /= 0.5;           } else if (drop_prob_ < 10) {               p /= 0.125;           } else {               p /= 0.03125;           }           if ((drop_prob_ >= 0.1) && (p > 0.02)) {               p = 0.02;           }           drop_prob_ += p;           /* some special cases */           if (qdelay < LATENCY_LOW && qdelay_old_ < LATENCY_LOW) {               drop_prob_ *= 0.98;    // exponential decay           } else if (qdelay > LATENCY_HIGH) {               drop_prob_ += 0.02;   // ramp up quickly           }           drop_prob_ = max(0, drop_prob_);           drop_prob_ = min(drop_prob_, \                        PROB_LOW * MEAN_PKTSIZE/MIN_PKTSIZE);       }       // Check if all is quiet       quiet = (qdelay < 0.5 * LATENCY_TARGET)               && (qdelay_old_ < 0.5 * LATENCY_TARGET)               && (drop_prob_ == 0)               && (burst_allowance_ == 0);       // Update AQM state based on quiet or !quiet       if ((aqm_state_ == ACTIVE) && quiet) {           aqm_state_ = QUIESCENT;           burst_reset_ = 0;       } else if (aqm_state_ == QUIESCENT) {           if (quiet) {               burst_reset_ += INTERVAL ;               if (burst_reset_ > BURST_RESET_TIMEOUT) {                   burst_reset_ = 0;                   aqm_state_ = INACTIVE;               }           } else {               burst_reset_ = 0;           }       }White & Pan                   Informational                    [Page 14]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017       qdelay_old_ = qdelay;   }A.3.  DOCSIS-PIE AQM Data Path   The DOCSIS-PIE data path performs the following:   o  Calls enque() in response to an incoming packet from the CMCI   ================   enque(packet) {       if (queue_.is_full()) {           drop(packet);           accu_prob_ = 0;       } else if (drop_early(packet, queue_.byte_length())) {           drop(packet);       } else {           queue_.enque(packet);       }   }   ////////////////   drop_early(packet, queue_length) {       // if still in burst protection, suppress AQM drops       if (burst_allowance_ > 0) {           return FALSE;       }       // if drop_prob_ goes to zero, clear accu_prob_       if (drop_prob_ == 0) {           accu_prob_ = 0;       }       if (aqm_state_ == INACTIVE) {           if (queue_.byte_length() < BUFFER_SIZE/3) {               // if queue is still small, stay in               // INACTIVE state and suppress AQM drops               return FALSE;           } else {               // otherwise transition to QUIESCENT state               aqm_state_ = QUIESCENT;           }       }White & Pan                   Informational                    [Page 15]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017       //The CM can quantize packet.size to 64, 128, 256, 512, 768,       // 1024, 1280, 1536, 2048 in the calculation below       p1 = drop_prob_ * packet.size() / MEAN_PKTSIZE;       p1 = min(p1, PROB_LOW);       accu_prob_ += p1;       // Suppress AQM drops in certain situations       if ( (qdelay_old_ < 0.5 * LATENCY_TARGET && drop_prob_ < 0.2)             || (queue_.byte_length() <= 2 * MEAN_PKTSIZE) ) {           return FALSE;       }       if (accu_prob_ < PROB_LOW) {  // avoid dropping too fast due            return FALSE;            // to bad luck of coin tosses...       } else if (accu_prob_ >= PROB_HIGH) { // ...and avoid dropping           drop = TRUE;                      // too slowly       } else {                        //Random drop           double u = random();        // 0 ~ 1           if (u > p1)              return FALSE;           else               drop = TRUE;       }       // At this point, drop == TRUE, so packet will be dropped.       // Reset accu_prob_       accu_prob_ = 0;       // If in QUIESCENT state, packet drop triggers       // ACTIVE state and start of burst protection       if (aqm_state_ == QUIESCENT) {           aqm_state_ = ACTIVE;           burst_allowance_ = MAX_BURST;       }       return TRUE;   }White & Pan                   Informational                    [Page 16]

RFC 8034          PIE-Based AQM for DOCSIS Cable Modems    February 2017Authors' Addresses   Greg White   CableLabs   858 Coal Creek Circle   Louisville, CO  80027-9750   United States of America   Email: g.white@cablelabs.com   Rong Pan   Cisco Systems   510 McCarthy Blvd   Milpitas, CA  95134   United States of America   Email: ropan@cisco.comWhite & Pan                   Informational                    [Page 17]

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