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Internet Engineering Task Force (IETF)                           I. RheeRequest for Comments: 8312                                          NCSUCategory: Informational                                            L. XuISSN: 2070-1721                                                      UNL                                                                   S. Ha                                                                Colorado                                                           A. Zimmermann                                                               L. Eggert                                                        R. Scheffenegger                                                                  NetApp                                                           February 2018CUBIC for Fast Long-Distance NetworksAbstract   CUBIC is an extension to the current TCP standards.  It differs from   the current TCP standards only in the congestion control algorithm on   the sender side.  In particular, it uses a cubic function instead of   a linear window increase function of the current TCP standards to   improve scalability and stability under fast and long-distance   networks.  CUBIC and its predecessor algorithm have been adopted as   defaults by Linux and have been used for many years.  This document   provides a specification of CUBIC to enable third-party   implementations and to solicit community feedback through   experimentation on the performance of CUBIC.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 athttps://www.rfc-editor.org/info/rfc8312.Rhee, et al.                  Informational                     [Page 1]

RFC 8312                          CUBIC                    February 2018Copyright Notice   Copyright (c) 2018 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   (https://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. Conventions .....................................................33. Design Principles of CUBIC ......................................44. CUBIC Congestion Control ........................................64.1. Window Increase Function ...................................64.2. TCP-Friendly Region ........................................74.3. Concave Region .............................................84.4. Convex Region ..............................................84.5. Multiplicative Decrease ....................................84.6. Fast Convergence ...........................................94.7. Timeout ...................................................104.8. Slow Start ................................................105. Discussion .....................................................105.1. Fairness to Standard TCP ..................................115.2. Using Spare Capacity ......................................135.3. Difficult Environments ....................................135.4. Investigating a Range of Environments .....................135.5. Protection against Congestion Collapse ....................14      5.6. Fairness within the Alternative Congestion Control           Algorithm .................................................145.7. Performance with Misbehaving Nodes and Outside Attackers ..145.8. Behavior for Application-Limited Flows ....................145.9. Responses to Sudden or Transient Events ...................145.10. Incremental Deployment ...................................146. Security Considerations ........................................157. IANA Considerations ............................................158. References .....................................................158.1. Normative References ......................................158.2. Informative References ....................................16   Acknowledgements ..................................................17   Authors' Addresses ................................................18Rhee, et al.                  Informational                     [Page 2]

RFC 8312                          CUBIC                    February 20181.  Introduction   The low utilization problem of TCP in fast long-distance networks is   well documented in [K03] and [RFC3649].  This problem arises from a   slow increase of the congestion window following a congestion event   in a network with a large bandwidth-delay product (BDP).  [HKLRX06]   indicates that this problem is frequently observed even in the range   of congestion window sizes over several hundreds of packets.  This   problem is equally applicable to all Reno-style TCP standards and   their variants, including TCP-RENO [RFC5681], TCP-NewReno [RFC6582]   [RFC6675], SCTP [RFC4960], and TFRC [RFC5348], which use the same   linear increase function for window growth, which we refer to   collectively as "Standard TCP" below.   CUBIC, originally proposed in [HRX08], is a modification to the   congestion control algorithm of Standard TCP to remedy this problem.   This document describes the most recent specification of CUBIC.   Specifically, CUBIC uses a cubic function instead of a linear window   increase function of Standard TCP to improve scalability and   stability under fast and long-distance networks.   Binary Increase Congestion Control (BIC-TCP) [XHR04], a predecessor   of CUBIC, was selected as the default TCP congestion control   algorithm by Linux in the year 2005 and has been used for several   years by the Internet community at large.  CUBIC uses a similar   window increase function as BIC-TCP and is designed to be less   aggressive and fairer to Standard TCP in bandwidth usage than BIC-TCP   while maintaining the strengths of BIC-TCP such as stability, window   scalability, and RTT fairness.  CUBIC has already replaced BIC-TCP as   the default TCP congestion control algorithm in Linux and has been   deployed globally by Linux.  Through extensive testing in various   Internet scenarios, we believe that CUBIC is safe for testing and   deployment in the global Internet.   In the following sections, we first briefly explain the design   principles of CUBIC, then provide the exact specification of CUBIC,   and finally discuss the safety features of CUBIC following the   guidelines specified in [RFC5033].2.  Conventions   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and   "OPTIONAL" in this document are to be interpreted as described inBCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all   capitals, as shown here.Rhee, et al.                  Informational                     [Page 3]

RFC 8312                          CUBIC                    February 20183.  Design Principles of CUBIC   CUBIC is designed according to the following design principles:      Principle 1: For better network utilization and stability, CUBIC      uses both the concave and convex profiles of a cubic function to      increase the congestion window size, instead of using just a      convex function.      Principle 2: To be TCP-friendly, CUBIC is designed to behave like      Standard TCP in networks with short RTTs and small bandwidth where      Standard TCP performs well.      Principle 3: For RTT-fairness, CUBIC is designed to achieve linear      bandwidth sharing among flows with different RTTs.      Principle 4: CUBIC appropriately sets its multiplicative window      decrease factor in order to balance between the scalability and      convergence speed.   Principle 1: For better network utilization and stability, CUBIC   [HRX08] uses a cubic window increase function in terms of the elapsed   time from the last congestion event.  While most alternative   congestion control algorithms to Standard TCP increase the congestion   window using convex functions, CUBIC uses both the concave and convex   profiles of a cubic function for window growth.  After a window   reduction in response to a congestion event is detected by duplicate   ACKs or Explicit Congestion Notification-Echo (ECN-Echo) ACKs   [RFC3168], CUBIC registers the congestion window size where it got   the congestion event as W_max and performs a multiplicative decrease   of congestion window.  After it enters into congestion avoidance, it   starts to increase the congestion window using the concave profile of   the cubic function.  The cubic function is set to have its plateau at   W_max so that the concave window increase continues until the window   size becomes W_max.  After that, the cubic function turns into a   convex profile and the convex window increase begins.  This style of   window adjustment (concave and then convex) improves the algorithm   stability while maintaining high network utilization [CEHRX07].  This   is because the window size remains almost constant, forming a plateau   around W_max where network utilization is deemed highest.  Under   steady state, most window size samples of CUBIC are close to W_max,   thus promoting high network utilization and stability.  Note that   those congestion control algorithms using only convex functions to   increase the congestion window size have the maximum increments   around W_max, and thus introduce a large number of packet bursts   around the saturation point of the network, likely causing frequent   global loss synchronizations.Rhee, et al.                  Informational                     [Page 4]

RFC 8312                          CUBIC                    February 2018   Principle 2: CUBIC promotes per-flow fairness to Standard TCP.  Note   that Standard TCP performs well under short RTT and small bandwidth   (or small BDP) networks.  There is only a scalability problem in   networks with long RTTs and large bandwidth (or large BDP).  An   alternative congestion control algorithm to Standard TCP designed to   be friendly to Standard TCP on a per-flow basis must operate to   increase its congestion window less aggressively in small BDP   networks than in large BDP networks.  The aggressiveness of CUBIC   mainly depends on the maximum window size before a window reduction,   which is smaller in small BDP networks than in large BDP networks.   Thus, CUBIC increases its congestion window less aggressively in   small BDP networks than in large BDP networks.  Furthermore, in cases   when the cubic function of CUBIC increases its congestion window less   aggressively than Standard TCP, CUBIC simply follows the window size   of Standard TCP to ensure that CUBIC achieves at least the same   throughput as Standard TCP in small BDP networks.  We call this   region where CUBIC behaves like Standard TCP, the "TCP-friendly   region".   Principle 3: Two CUBIC flows with different RTTs have their   throughput ratio linearly proportional to the inverse of their RTT   ratio, where the throughput of a flow is approximately the size of   its congestion window divided by its RTT.  Specifically, CUBIC   maintains a window increase rate independent of RTTs outside of the   TCP-friendly region, and thus flows with different RTTs have similar   congestion window sizes under steady state when they operate outside   the TCP-friendly region.  This notion of a linear throughput ratio is   similar to that of Standard TCP under high statistical multiplexing   environments where packet losses are independent of individual flow   rates.  However, under low statistical multiplexing environments, the   throughput ratio of Standard TCP flows with different RTTs is   quadratically proportional to the inverse of their RTT ratio [XHR04].   CUBIC always ensures the linear throughput ratio independent of the   levels of statistical multiplexing.  This is an improvement over   Standard TCP.  While there is no consensus on particular throughput   ratios of different RTT flows, we believe that under wired Internet,   use of a linear throughput ratio seems more reasonable than equal   throughputs (i.e., the same throughput for flows with different RTTs)   or a higher-order throughput ratio (e.g., a quadratical throughput   ratio of Standard TCP under low statistical multiplexing   environments).   Principle 4: To balance between the scalability and convergence   speed, CUBIC sets the multiplicative window decrease factor to 0.7   while Standard TCP uses 0.5.  While this improves the scalability of   CUBIC, a side effect of this decision is slower convergence,   especially under low statistical multiplexing environments.  This   design choice is following the observation that the author ofRhee, et al.                  Informational                     [Page 5]

RFC 8312                          CUBIC                    February 2018   HighSpeed TCP (HSTCP) [RFC3649] has made along with other researchers   (e.g., [GV02]): the current Internet becomes more asynchronous with   less frequent loss synchronizations with high statistical   multiplexing.  Under this environment, even strict Multiplicative-   Increase Multiplicative-Decrease (MIMD) can converge.  CUBIC flows   with the same RTT always converge to the same throughput independent   of statistical multiplexing, thus achieving intra-algorithm fairness.   We also find that under the environments with sufficient statistical   multiplexing, the convergence speed of CUBIC flows is reasonable.4.  CUBIC Congestion Control   The unit of all window sizes in this document is segments of the   maximum segment size (MSS), and the unit of all times is seconds.   Let cwnd denote the congestion window size of a flow, and ssthresh   denote the slow-start threshold.4.1.  Window Increase Function   CUBIC maintains the acknowledgment (ACK) clocking of Standard TCP by   increasing the congestion window only at the reception of an ACK.  It   does not make any change to the fast recovery and retransmit of TCP,   such as TCP-NewReno [RFC6582] [RFC6675].  During congestion avoidance   after a congestion event where a packet loss is detected by duplicate   ACKs or a network congestion is detected by ACKs with ECN-Echo flags   [RFC3168], CUBIC changes the window increase function of Standard   TCP.  Suppose that W_max is the window size just before the window is   reduced in the last congestion event.   CUBIC uses the following window increase function:       W_cubic(t) = C*(t-K)^3 + W_max (Eq. 1)   where C is a constant fixed to determine the aggressiveness of window   increase in high BDP networks, t is the elapsed time from the   beginning of the current congestion avoidance, and K is the time   period that the above function takes to increase the current window   size to W_max if there are no further congestion events and is   calculated using the following equation:       K = cubic_root(W_max*(1-beta_cubic)/C) (Eq. 2)   where beta_cubic is the CUBIC multiplication decrease factor, that   is, when a congestion event is detected, CUBIC reduces its cwnd to   W_cubic(0)=W_max*beta_cubic.  We discuss how we set beta_cubic inSection 4.5 and how we set C inSection 5.Rhee, et al.                  Informational                     [Page 6]

RFC 8312                          CUBIC                    February 2018   Upon receiving an ACK during congestion avoidance, CUBIC computes the   window increase rate during the next RTT period using Eq. 1.  It sets   W_cubic(t+RTT) as the candidate target value of the congestion   window, where RTT is the weighted average RTT calculated by Standard   TCP.   Depending on the value of the current congestion window size cwnd,   CUBIC runs in three different modes.   1.  The TCP-friendly region, which ensures that CUBIC achieves at       least the same throughput as Standard TCP.   2.  The concave region, if CUBIC is not in the TCP-friendly region       and cwnd is less than W_max.   3.  The convex region, if CUBIC is not in the TCP-friendly region and       cwnd is greater than W_max.   Below, we describe the exact actions taken by CUBIC in each region.4.2.  TCP-Friendly Region   Standard TCP performs well in certain types of networks, for example,   under short RTT and small bandwidth (or small BDP) networks.  In   these networks, we use the TCP-friendly region to ensure that CUBIC   achieves at least the same throughput as Standard TCP.   The TCP-friendly region is designed according to the analysis   described in [FHP00].  The analysis studies the performance of an   Additive Increase and Multiplicative Decrease (AIMD) algorithm with   an additive factor of alpha_aimd (segments per RTT) and a   multiplicative factor of beta_aimd, denoted by AIMD(alpha_aimd,   beta_aimd).  Specifically, the average congestion window size of   AIMD(alpha_aimd, beta_aimd) can be calculated using Eq. 3.  The   analysis shows that AIMD(alpha_aimd, beta_aimd) with   alpha_aimd=3*(1-beta_aimd)/(1+beta_aimd) achieves the same average   window size as Standard TCP that uses AIMD(1, 0.5).       AVG_W_aimd = [ alpha_aimd * (1+beta_aimd) /                      (2*(1-beta_aimd)*p) ]^0.5 (Eq. 3)   Based on the above analysis, CUBIC uses Eq. 4 to estimate the window   size W_est of AIMD(alpha_aimd, beta_aimd) with   alpha_aimd=3*(1-beta_cubic)/(1+beta_cubic) and beta_aimd=beta_cubic,   which achieves the same average window size as Standard TCP.  When   receiving an ACK in congestion avoidance (cwnd could be greater thanRhee, et al.                  Informational                     [Page 7]

RFC 8312                          CUBIC                    February 2018   or less than W_max), CUBIC checks whether W_cubic(t) is less than   W_est(t).  If so, CUBIC is in the TCP-friendly region and cwnd SHOULD   be set to W_est(t) at each reception of an ACK.       W_est(t) = W_max*beta_cubic +                   [3*(1-beta_cubic)/(1+beta_cubic)] * (t/RTT) (Eq. 4)4.3.  Concave Region   When receiving an ACK in congestion avoidance, if CUBIC is not in the   TCP-friendly region and cwnd is less than W_max, then CUBIC is in the   concave region.  In this region, cwnd MUST be incremented by   (W_cubic(t+RTT) - cwnd)/cwnd for each received ACK, where   W_cubic(t+RTT) is calculated using Eq. 1.4.4.  Convex Region   When receiving an ACK in congestion avoidance, if CUBIC is not in the   TCP-friendly region and cwnd is larger than or equal to W_max, then   CUBIC is in the convex region.  The convex region indicates that the   network conditions might have been perturbed since the last   congestion event, possibly implying more available bandwidth after   some flow departures.  Since the Internet is highly asynchronous,   some amount of perturbation is always possible without causing a   major change in available bandwidth.  In this region, CUBIC is being   very careful by very slowly increasing its window size.  The convex   profile ensures that the window increases very slowly at the   beginning and gradually increases its increase rate.  We also call   this region the "maximum probing phase" since CUBIC is searching for   a new W_max.  In this region, cwnd MUST be incremented by   (W_cubic(t+RTT) - cwnd)/cwnd for each received ACK, where   W_cubic(t+RTT) is calculated using Eq. 1.4.5.  Multiplicative Decrease   When a packet loss is detected by duplicate ACKs or a network   congestion is detected by ECN-Echo ACKs, CUBIC updates its W_max,   cwnd, and ssthresh as follows.  Parameter beta_cubic SHOULD be set to   0.7.      W_max = cwnd;                 // save window size before reduction      ssthresh = cwnd * beta_cubic; // new slow-start threshold      ssthresh = max(ssthresh, 2);  // threshold is at least 2 MSS      cwnd = cwnd * beta_cubic;     // window reductionRhee, et al.                  Informational                     [Page 8]

RFC 8312                          CUBIC                    February 2018   A side effect of setting beta_cubic to a value bigger than 0.5 is   slower convergence.  We believe that while a more adaptive setting of   beta_cubic could result in faster convergence, it will make the   analysis of CUBIC much harder.  This adaptive adjustment of   beta_cubic is an item for the next version of CUBIC.4.6.  Fast Convergence   To improve the convergence speed of CUBIC, we add a heuristic in   CUBIC.  When a new flow joins the network, existing flows in the   network need to give up some of their bandwidth to allow the new flow   some room for growth if the existing flows have been using all the   bandwidth of the network.  To speed up this bandwidth release by   existing flows, the following mechanism called "fast convergence"   SHOULD be implemented.   With fast convergence, when a congestion event occurs, before the   window reduction of the congestion window, a flow remembers the last   value of W_max before it updates W_max for the current congestion   event.  Let us call the last value of W_max to be W_last_max.      if (W_max < W_last_max){ // should we make room for others          W_last_max = W_max;             // remember the last W_max          W_max = W_max*(1.0+beta_cubic)/2.0; // further reduce W_max      } else {          W_last_max = W_max              // remember the last W_max      }   At a congestion event, if the current value of W_max is less than   W_last_max, this indicates that the saturation point experienced by   this flow is getting reduced because of the change in available   bandwidth.  Then we allow this flow to release more bandwidth by   reducing W_max further.  This action effectively lengthens the time   for this flow to increase its congestion window because the reduced   W_max forces the flow to have the plateau earlier.  This allows more   time for the new flow to catch up to its congestion window size.   The fast convergence is designed for network environments with   multiple CUBIC flows.  In network environments with only a single   CUBIC flow and without any other traffic, the fast convergence SHOULD   be disabled.Rhee, et al.                  Informational                     [Page 9]

RFC 8312                          CUBIC                    February 20184.7.  Timeout   In case of timeout, CUBIC follows Standard TCP to reduce cwnd   [RFC5681], but sets ssthresh using beta_cubic (same as inSection 4.5) that is different from Standard TCP [RFC5681].   During the first congestion avoidance after a timeout, CUBIC   increases its congestion window size using Eq. 1, where t is the   elapsed time since the beginning of the current congestion avoidance,   K is set to 0, and W_max is set to the congestion window size at the   beginning of the current congestion avoidance.4.8.  Slow Start   CUBIC MUST employ a slow-start algorithm, when the cwnd is no more   than ssthresh.  Among the slow-start algorithms, CUBIC MAY choose the   standard TCP slow start [RFC5681] in general networks, or the limited   slow start [RFC3742] or hybrid slow start [HR08] for fast and long-   distance networks.   In the case when CUBIC runs the hybrid slow start [HR08], it may exit   the first slow start without incurring any packet loss and thus W_max   is undefined.  In this special case, CUBIC switches to congestion   avoidance and increases its congestion window size using Eq. 1, where   t is the elapsed time since the beginning of the current congestion   avoidance, K is set to 0, and W_max is set to the congestion window   size at the beginning of the current congestion avoidance.5.  Discussion   In this section, we further discuss the safety features of CUBIC   following the guidelines specified in [RFC5033].   With a deterministic loss model where the number of packets between   two successive packet losses is always 1/p, CUBIC always operates   with the concave window profile, which greatly simplifies the   performance analysis of CUBIC.  The average window size of CUBIC can   be obtained by the following function:       AVG_W_cubic = [C*(3+beta_cubic)/(4*(1-beta_cubic))]^0.25 *                       (RTT^0.75) / (p^0.75) (Eq. 5)   With beta_cubic set to 0.7, the above formula is reduced to:       AVG_W_cubic = (C*3.7/1.2)^0.25 * (RTT^0.75) / (p^0.75) (Eq. 6)   We will determine the value of C in the following subsection using   Eq. 6.Rhee, et al.                  Informational                    [Page 10]

RFC 8312                          CUBIC                    February 20185.1.  Fairness to Standard TCP   In environments where Standard TCP is able to make reasonable use of   the available bandwidth, CUBIC does not significantly change this   state.   Standard TCP performs well in the following two types of networks:   1.  networks with a small bandwidth-delay product (BDP)   2.  networks with a short RTTs, but not necessarily a small BDP   CUBIC is designed to behave very similarly to Standard TCP in the   above two types of networks.  The following two tables show the   average window sizes of Standard TCP, HSTCP, and CUBIC.  The average   window sizes of Standard TCP and HSTCP are from [RFC3649].  The   average window size of CUBIC is calculated using Eq. 6 and the CUBIC   TCP-friendly region for three different values of C.   +--------+----------+-----------+------------+-----------+----------+   |   Loss |  Average |   Average |      CUBIC |     CUBIC |    CUBIC |   | Rate P |    TCP W |   HSTCP W |   (C=0.04) |   (C=0.4) |    (C=4) |   +--------+----------+-----------+------------+-----------+----------+   |  10^-2 |       12 |        12 |         12 |        12 |       12 |   |  10^-3 |       38 |        38 |         38 |        38 |       59 |   |  10^-4 |      120 |       263 |        120 |       187 |      333 |   |  10^-5 |      379 |      1795 |        593 |      1054 |     1874 |   |  10^-6 |     1200 |     12279 |       3332 |      5926 |    10538 |   |  10^-7 |     3795 |     83981 |      18740 |     33325 |    59261 |   |  10^-8 |    12000 |    574356 |     105383 |    187400 |   333250 |   +--------+----------+-----------+------------+-----------+----------+                                  Table 1   Table 1 describes the response function of Standard TCP, HSTCP, and   CUBIC in networks with RTT = 0.1 seconds.  The average window size is   in MSS-sized segments.Rhee, et al.                  Informational                    [Page 11]

RFC 8312                          CUBIC                    February 2018   +--------+-----------+-----------+------------+-----------+---------+   |   Loss |   Average |   Average |      CUBIC |     CUBIC |   CUBIC |   | Rate P |     TCP W |   HSTCP W |   (C=0.04) |   (C=0.4) |   (C=4) |   +--------+-----------+-----------+------------+-----------+---------+   |  10^-2 |        12 |        12 |         12 |        12 |      12 |   |  10^-3 |        38 |        38 |         38 |        38 |      38 |   |  10^-4 |       120 |       263 |        120 |       120 |     120 |   |  10^-5 |       379 |      1795 |        379 |       379 |     379 |   |  10^-6 |      1200 |     12279 |       1200 |      1200 |    1874 |   |  10^-7 |      3795 |     83981 |       3795 |      5926 |   10538 |   |  10^-8 |     12000 |    574356 |      18740 |     33325 |   59261 |   +--------+-----------+-----------+------------+-----------+---------+                                  Table 2   Table 2 describes the response function of Standard TCP, HSTCP, and   CUBIC in networks with RTT = 0.01 seconds.  The average window size   is in MSS-sized segments.   Both tables show that CUBIC with any of these three C values is more   friendly to TCP than HSTCP, especially in networks with a short RTT   where TCP performs reasonably well.  For example, in a network with   RTT = 0.01 seconds and p=10^-6, TCP has an average window of 1200   packets.  If the packet size is 1500 bytes, then TCP can achieve an   average rate of 1.44 Gbps.  In this case, CUBIC with C=0.04 or C=0.4   achieves exactly the same rate as Standard TCP, whereas HSTCP is   about ten times more aggressive than Standard TCP.   We can see that C determines the aggressiveness of CUBIC in competing   with other congestion control algorithms for bandwidth.  CUBIC is   more friendly to Standard TCP, if the value of C is lower.  However,   we do not recommend setting C to a very low value like 0.04, since   CUBIC with a low C cannot efficiently use the bandwidth in long RTT   and high-bandwidth networks.  Based on these observations and our   experiments, we find C=0.4 gives a good balance between TCP-   friendliness and aggressiveness of window increase.  Therefore, C   SHOULD be set to 0.4.  With C set to 0.4, Eq. 6 is reduced to:      AVG_W_cubic = 1.054 * (RTT^0.75) / (p^0.75) (Eq. 7)   Eq. 7 is then used in the next subsection to show the scalability of   CUBIC.Rhee, et al.                  Informational                    [Page 12]

RFC 8312                          CUBIC                    February 20185.2.  Using Spare Capacity   CUBIC uses a more aggressive window increase function than Standard   TCP under long RTT and high-bandwidth networks.   The following table shows that to achieve the 10 Gbps rate, Standard   TCP requires a packet loss rate of 2.0e-10, while CUBIC requires a   packet loss rate of 2.9e-8.      +------------------+-----------+---------+---------+---------+      | Throughput(Mbps) | Average W | TCP P   | HSTCP P | CUBIC P |      +------------------+-----------+---------+---------+---------+      |                1 |       8.3 | 2.0e-2  | 2.0e-2  | 2.0e-2  |      |               10 |      83.3 | 2.0e-4  | 3.9e-4  | 2.9e-4  |      |              100 |     833.3 | 2.0e-6  | 2.5e-5  | 1.4e-5  |      |             1000 |    8333.3 | 2.0e-8  | 1.5e-6  | 6.3e-7  |      |            10000 |   83333.3 | 2.0e-10 | 1.0e-7  | 2.9e-8  |      +------------------+-----------+---------+---------+---------+                                  Table 3   Table 3 describes the required packet loss rate for Standard TCP,   HSTCP, and CUBIC to achieve a certain throughput.  We use 1500-byte   packets and an RTT of 0.1 seconds.   Our test results in [HKLRX06] indicate that CUBIC uses the spare   bandwidth left unused by existing Standard TCP flows in the same   bottleneck link without taking away much bandwidth from the existing   flows.5.3.  Difficult Environments   CUBIC is designed to remedy the poor performance of TCP in fast and   long-distance networks.5.4.  Investigating a Range of Environments   CUBIC has been extensively studied by using both NS-2 simulation and   test-bed experiments covering a wide range of network environments.   More information can be found in [HKLRX06].   Same as Standard TCP, CUBIC is a loss-based congestion control   algorithm.  Because CUBIC is designed to be more aggressive (due to a   faster window increase function and bigger multiplicative decrease   factor) than Standard TCP in fast and long-distance networks, it can   fill large drop-tail buffers more quickly than Standard TCP andRhee, et al.                  Informational                    [Page 13]

RFC 8312                          CUBIC                    February 2018   increase the risk of a standing queue [KWAF17].  In this case, proper   queue sizing and management [RFC7567] could be used to reduce the   packet queuing delay.5.5.  Protection against Congestion Collapse   With regard to the potential of causing congestion collapse, CUBIC   behaves like Standard TCP since CUBIC modifies only the window   adjustment algorithm of TCP.  Thus, it does not modify the ACK   clocking and Timeout behaviors of Standard TCP.5.6.  Fairness within the Alternative Congestion Control Algorithm   CUBIC ensures convergence of competing CUBIC flows with the same RTT   in the same bottleneck links to an equal throughput.  When competing   flows have different RTTs, their throughput ratio is linearly   proportional to the inverse of their RTT ratios.  This is true   independent of the level of statistical multiplexing in the link.5.7.  Performance with Misbehaving Nodes and Outside Attackers   This is not considered in the current CUBIC.5.8.  Behavior for Application-Limited Flows   CUBIC does not raise its congestion window size if the flow is   currently limited by the application instead of the congestion   window.  In case of long periods when cwnd has not been updated due   to the application rate limit, such as idle periods, t in Eq. 1 MUST   NOT include these periods; otherwise, W_cubic(t) might be very high   after restarting from these periods.5.9.  Responses to Sudden or Transient Events   If there is a sudden congestion, a routing change, or a mobility   event, CUBIC behaves the same as Standard TCP.5.10.  Incremental Deployment   CUBIC requires only the change of TCP senders, and it does not make   any changes to TCP receivers.  That is, a CUBIC sender works   correctly with the Standard TCP receivers.  In addition, CUBIC does   not require any changes to the routers and does not require any   assistance from the routers.Rhee, et al.                  Informational                    [Page 14]

RFC 8312                          CUBIC                    February 20186.  Security Considerations   This proposal makes no changes to the underlying security of TCP.   More information about TCP security concerns can be found in   [RFC5681].7.  IANA Considerations   This document does not require any IANA actions.8.  References8.1.  Normative References   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate              Requirement Levels",BCP 14,RFC 2119,              DOI 10.17487/RFC2119, March 1997,              <https://www.rfc-editor.org/info/rfc2119>.   [RFC3168]  Ramakrishnan, K., Floyd, S., and D. Black, "The Addition              of Explicit Congestion Notification (ECN) to IP",RFC 3168, DOI 10.17487/RFC3168, September 2001,              <https://www.rfc-editor.org/info/rfc3168>.   [RFC3649]  Floyd, S., "HighSpeed TCP for Large Congestion Windows",RFC 3649, DOI 10.17487/RFC3649, December 2003,              <https://www.rfc-editor.org/info/rfc3649>.   [RFC3742]  Floyd, S., "Limited Slow-Start for TCP with Large              Congestion Windows",RFC 3742, DOI 10.17487/RFC3742, March              2004, <https://www.rfc-editor.org/info/rfc3742>.   [RFC4960]  Stewart, R., Ed., "Stream Control Transmission Protocol",RFC 4960, DOI 10.17487/RFC4960, September 2007,              <https://www.rfc-editor.org/info/rfc4960>.   [RFC5033]  Floyd, S. and M. Allman, "Specifying New Congestion              Control Algorithms",BCP 133,RFC 5033,              DOI 10.17487/RFC5033, August 2007,              <https://www.rfc-editor.org/info/rfc5033>.   [RFC5348]  Floyd, S., Handley, M., Padhye, J., and J. Widmer, "TCP              Friendly Rate Control (TFRC): Protocol Specification",RFC 5348, DOI 10.17487/RFC5348, September 2008,              <https://www.rfc-editor.org/info/rfc5348>.Rhee, et al.                  Informational                    [Page 15]

RFC 8312                          CUBIC                    February 2018   [RFC5681]  Allman, M., Paxson, V., and E. Blanton, "TCP Congestion              Control",RFC 5681, DOI 10.17487/RFC5681, September 2009,              <https://www.rfc-editor.org/info/rfc5681>.   [RFC6582]  Henderson, T., Floyd, S., Gurtov, A., and Y. Nishida, "The              NewReno Modification to TCP's Fast Recovery Algorithm",RFC 6582, DOI 10.17487/RFC6582, April 2012,              <https://www.rfc-editor.org/info/rfc6582>.   [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, August 2012,              <https://www.rfc-editor.org/info/rfc6675>.   [RFC7567]  Baker, F., Ed. and G. Fairhurst, Ed., "IETF              Recommendations Regarding Active Queue Management",BCP 197,RFC 7567, DOI 10.17487/RFC7567, July 2015,              <https://www.rfc-editor.org/info/rfc7567>.   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase inRFC2119 Key Words",BCP 14,RFC 8174, DOI 10.17487/RFC8174,              May 2017, <https://www.rfc-editor.org/info/rfc8174>.8.2.  Informative References   [CEHRX07]  Cai, H., Eun, D., Ha, S., Rhee, I., and L. Xu, "Stochastic              Ordering for Internet Congestion Control and its              Applications", In Proceedings of IEEE INFOCOM,              DOI 10.1109/INFCOM.2007.111, May 2007.   [FHP00]    Floyd, S., Handley, M., and J. Padhye, "A Comparison of              Equation-Based and AIMD Congestion Control", May 2000.   [GV02]     Gorinsky, S. and H. Vin, "Extended Analysis of Binary              Adjustment Algorithms", Technical Report TR2002-29,              Department of Computer Sciences, The University of              Texas at Austin, August 2002.   [HKLRX06]  Ha, S., Kim, Y., Le, L., Rhee, I., and L. Xu, "A Step              toward Realistic Performance Evaluation of High-Speed TCP              Variants", International Workshop on Protocols for Fast              Long-Distance Networks.   [HR08]     Ha, S. and I. Rhee, "Hybrid Slow Start for High-Bandwidth              and Long-Distance Networks", International Workshop on              Protocols for Fast Long-Distance Networks.Rhee, et al.                  Informational                    [Page 16]

RFC 8312                          CUBIC                    February 2018   [HRX08]    Ha, S., Rhee, I., and L. Xu, "CUBIC: A New TCP-Friendly              High-Speed TCP Variant", ACM SIGOPS Operating System              Review, DOI 10.1145/1400097.1400105, July 2008.   [K03]      Kelly, T., "Scalable TCP: Improving Performance in              HighSpeed Wide Area Networks", ACM SIGCOMM              Computer Communication Review, DOI 10.1145/956981.956989,              April 2003.   [KWAF17]   Khademi, N., Welzl, M., Armitage, G., and G. Fairhurst,              "TCP Alternative Backoff with ECN (ABE)", Work in              Progress,draft-ietf-tcpm-alternativebackoff-ecn-05,              December 2017.   [XHR04]    Xu, L., Harfoush, K., and I. Rhee, "Binary Increase              Congestion Control for Fast, Long Distance Networks", In              Proceedings of IEEE INFOCOM,              DOI 10.1109/INFCOM.2004.1354672, March 2004.Acknowledgements   Alexander Zimmermann and Lars Eggert have received funding from the   European Union's Horizon 2020 research and innovation program   2014-2018 under grant agreement No. 644866 (SSICLOPS).  This document   reflects only the authors' views and the European Commission is not   responsible for any use that may be made of the information it   contains.   The work of Lisong Xu was partially supported by the National Science   Foundation (NSF) under Grant No. 1526253.  Any opinions, findings,   and conclusions or recommendations expressed in this material are   those of the authors and do not necessarily reflect the views of the   NSF.Rhee, et al.                  Informational                    [Page 17]

RFC 8312                          CUBIC                    February 2018Authors' Addresses   Injong Rhee   North Carolina State University   Department of Computer Science   Raleigh, NC  27695-7534   United States of America   Email: rhee@ncsu.edu   Lisong Xu   University of Nebraska-Lincoln   Department of Computer Science and Engineering   Lincoln, NE  68588-0115   United States of America   Email: xu@unl.edu   Sangtae Ha   University of Colorado at Boulder   Department of Computer Science   Boulder, CO  80309-0430   United States of America   Email: sangtae.ha@colorado.edu   Alexander Zimmermann   Phone: +49 175 5766838   Email: alexander.zimmermann@rwth-aachen.de   Lars Eggert   NetApp   Sonnenallee 1   Kirchheim  85551   Germany   Phone: +49 151 12055791   Email: lars@netapp.com   Richard Scheffenegger   NetApp   Am Europlatz 2   Vienna  1120   Austria   Email: rs.ietf@gmx.atRhee, et al.                  Informational                    [Page 18]

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