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Novel Function Placement of Congestion Control Building Blocks in the Internet. Kartikeya Chandrayana. Outline. Review Randomized TCP Uncooperative Congestion Control virtual AQM Conclusions. Congestion Control. Internet Meltdown Need for congestion control.
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Novel Function Placement of Congestion Control Building Blocks in the Internet Kartikeya Chandrayana
Outline • Review • Randomized TCP • Uncooperative Congestion Control • virtual AQM • Conclusions
Congestion Control • Internet Meltdown • Need for congestion control. • Congestion Avoidance and Control • End system based techniques. • TCP • Network based solutions • Active Queue Management (AQM) e.g. RED
TCP • Transmission Control Protocol • Protocol used to transport data • Source: Send a packet, Receiver: Acknowledge the packet • Almost all applications (90%) use TCP • What rate to send ? • No way of knowing what is the available bandwidth • Probe for bandwidth • In some time “T” send w packets • If Acks for all w packets are rcvd then • Send w+1 packets next time • Else • Send w/2 packets
End-System Based Solution • TCP + Drop-Tail Queuing. • TCP’s performance suffers on Drop-Tail queues. • Synchronization • Congestion window of different flows increase and decrease simultaneously • Burst losses • Bias against flows with large RTT • Full Queues • Phase Effects • Only a section of flows get dropped all the time • Lockout Effect • Few flows monopolize the buffer space
Active Queue Management • Proactively Manage Queues • Drop packet before queue overflows • Small queues • Probabilistic Dropping • Introduces randomization in network • Early Congestion Indication • ProtectTCP Flows • CBR flows, selfish flows • e.g. RED (and variants), REM, AVQ, CHOKe
Drop/Mark Accept Probabilistically Accept Random Early Drop (RED) Head Maxth Minth avg: average queue length (EWMA) • if avg < Minth then queue packet • if avg > Maxth then drop packet • else, probabilistically drop/accept packet.
AQM Continued • Have parameters which require configuration • e.g. Threshold to probabilistically drop packets • Configuration Parameters are generally a function of link capacity, number of flows etc. • Small operating region • RED can perform worse than Drop-Tail queues • AQMs are not deployed on the Internet Problems with Drop-Tail Queues Persist Internet Works with Drop-Tail Queues
Review: Possible Solutions Network Based Solution: Use AQM/Scheduler in the network End System Based Solution: Use same congestion control algorithm Limitation Limitations AQM Placement Required at every router. How do we verify the trust ? Constrains the choice of congestion control algorithms • May require exchange of control information between all AQMs/Schedulers in the network. • Generally only provides Max-Min Fairness. Most Solutions do not work with a Drop Tail queue Network Routers Users Network Some Buffer Mgmt. Scheme What are the alternate architectural responses ?
Big, Fast Routers, Millions of Flows, Giga Bytes of Data Minimal Changes/upgrades in the network Any queue mgmt algorithm Drop Tail/RED etc. First place where network can verify trust Medium Sized Routers, Manageable number of flow/data Uncooperative Congestion Control Virtual AQM Protect TCP Flows, Manage Queues Emulate Many Beneficial Properties of RED Proposed Solution Edge Routers Core Routers Network Users Randomized TCP De-couple congestion control tasks from their placement
Outline • Review • Randomized TCP • Uncooperative Congestion Control • virtual AQM • Conclusions
TCP Randomized TCP Randomized TCP • Randomize the packet sending times • = (1+x) RTT/W • X : Uniform(-1, 1) • Always observe packet conservation
Benefits of Randomized TCP • End-System solution for introducing randomization in the network • Emulates many beneficial properties of RED • Breaks synchronization • Spreads losses over time • Independent losses • Removes Phase Effects • Removes Bias against large RTT flows • Reduces burst losses • Competes fairly with TCP Reno
60 ms 8 Mbps 2 Mbps 80 ms Randomized TCP: Bias against large RTT flows Single Bottleneck, Ideal Share: Long (43%), Short(57%)
Randomized TCP: Phase Effects 8 Mbps 5 ms 8 Mbps 5 ms 0.8 Mbps 100 ms Randomized TCP removes phase effects
Randomized TCP: More Results • Randomized TCP competes fairly with TCP Reno • Removal of Phase Effects, Bias against large RTT flows, synchronization • Other Single bottleneck setups • Multi-bottleneck setups • Even one Randomized TCP flow improves performance • Randomized TCP reduces burst losses • Randomized TCP improves performance of other window based rate control schemes • Binomial Congestion Control We can decouple management of synchronization, phase effect, bias against large RTT flows, burst losses from AQM design Randomized TCP can emulate many beneficial properties of RED
Outline • Review • Randomized TCP • Uncooperative Congestion Control • virtual AQM • Conclusions
New Congestion Control Schemes • Application needs have changed • TCP not suitable • Different congestion control protocols • Real-Player, Windows Media, Quake, Half-Life etc. • Linux, FreeBSD Boxes came along • Make your own TCP. • If receive w acks then put w+5 packets in next RTT • TCP send w+1 packets in next RTT • If congestion put 3w/4 packets in next RTT • TCP send w/2 packets in next RTT
Classification • Responsive • React to congestion indication by cutting down its rate • e.g. TCP (and its variants) • Selfish/Mis-Behaving • Maybe • Un-responsive • Do not react to congestion indications • e.g. UDP, CBR • Selfish/Mis-Behaving • Always
1 Mbps Bandwidth left For TCP UDP Source Sending at 600Kbps Consistently looks at increasing it’s share Responsive Selfish Source 1 Mbps Responsive vs Un-responsive
TCP Flows shut out Selfish Responsive Flows: Impact 8 Mbps 5 ms 20 ms 20 ms Drop Tail Queue 0.8 Mbps 0.8 Mbps Traffic Volume Based Denial-of-Service Attack
Possible Solutions • Everyone uses TCP • TCP Friendliness • Any rate control scheme gets the same throughput as TCP under same operating conditions. • x 1/sqrt(p) (x: rate, p : packet loss probability) • Network Based Solutions • Use Active Queue Management (AQM) • e.g. Random Early Drop (RED) • Minth, Maxth, p, Qavg • FRED, CHOKe etc. • Require Deployment at ALL routers
RED AQM: Effect of Misbehavior 8 Mbps 5 ms 20 ms 20 ms RED Queue 0.8 Mbps 0.8 Mbps RED Helps: Though unfair sharing persists
Other TCP Like Schemes • TCP - Every RTT • W(t+1) = W(t) + ( = 1) if no loss • W(t+1) = (1-)W(t) ( = 0.5) otherwise • Time-Invariant Schemes • Control parameters do not change with time • Utility function does not change with time • Increase : /f(W) f(W) > 0 • Decrease: (1-)*g(W) 0 < g(W) < 1 • TCP Friendly Schemes • f(W)g(W) = W • Binomial Congestion Control Schemes • Increase: /Wk(t) , Decrease: (1-)Wl(t) • TCP Friendly Schemes given by k+l = 1
Other TCP Like Schemes • Time Invariant Schemes • Aggressive Selfish schemes: • > 1 • > 0.5 • f(W)g(W) < W • e.g Increase: , Decrease: W0.5(t) • Time Variant Schemes • Control Parameters change with time • (t) > 0 • (t) > 0 • Increase: 1/Wk(t) , Decrease: Wl(t) • k(t) + l(t) = 0
Consequences.. Users can choose their rate control scheme • Rate Control Scheme rate allocation. • Aggressive Rate Control More Rate • Incentive for users to misbehave. • But majority of users are responsible. • Traffic-Volume based denial-of-service attack • Assume (for now) the network’s standard CC • scheme is TCP • Any scheme which gets more rate than TCP is • uncooperative
1M + 10 10 20 1M Detour: Congestion Control-Optimization Frameworks • Utility Functions • Economics • One function can capture a group of rate control schemes. • TCP-Friendly schemes imply • U(x) -1/x U(x) x (Rate)
Detour: Congestion Control-Optimization Frameworks • Users choose congestion control algorithm • Choose a Utility Function • TCP : U(x) -1/x • CC Scheme Utility function • Every user maximizes his own utility function • Distributed optimization. • Network imposes capacity constraints • Total input rate cannot exceed capacity • Communicates to users the price of using link • Price : loss rate, mark (ECN), delay • Users use this price to update their rate
Optimization Framework: TCP Max -1/xs s.t. (xs – Cl) 0, for all l • TCP tries to minimize delay • Equilibrium allocation (fairness) • Minimum Potential Delay Fairness • Max-Min Fairness • U(x) = –1/xN (N ) • Proportional Fairness (TCP Vegas) • U(x) = log(x)
Non Conformant Non Conformant U Selfish Us U Map Us U1 U1 = U2 = -1/x U2 Conformant TCP Friendliness U1,U2 define the conformance space x (Rate) x (Rate) Map user’s Utility Function to Conformant Space Work in the Utility Function Space • Key Design Objectives: • DeploymentEase • Retain existing link price update rules. • No changes in the core. • Retain existing user’s rate updation rules. • Allows users to chose rate control protocol. • Should work with either drop or marking based network. • Should work on a network of Drop Tail queues. Map user’s Utility Function to Conformant Space
How? By Penalty Function Transformation • Map user’s utility function to some (or range of) objective utility function • Us Uobj , Uobj [U1 , U2 ] • User s is described by: • xs: Rate, Us: Utility function, q: end-to-end price • xs = Us'-1(q) • If source was using Uobjthenrate would be: xs = Uobj'-1(q) • Communicate to user the price qnew : qnew = Us' (Uobj'-1(q)) • Now user’s update algorithm looks like xs = Us'-1(qnew) xs = Uobj'-1(q) Appears as if user is maximizing Uobj !
Any queue mgmt algorithm Drop Tail/RED etc. Free to choose their congestion control algorithm Edge Based Re-Marking Agent Maps utility function Either marking or dropping Manages Selfish Flows. (Decouple it from AQM design) Provides Service differentiation(Map users to different utility functions). Idea: Remap @Edge, Not in every Router Edge Routers Core Routers Core Network (No Changes) Users Decouple Management of Selfish Flows from AQM Design
What do we need to make it work ? • Estimate utility function • Currently using Least Squares, Recursive LS • Needs only estimates of sending and loss rates • Estimate loss/mark rate • Currently using EWMA, WALI methods of TFRC • Need to identify misbehaving flows. • Smart Sampling in Netflow, Sample & Hold etc
Utility Function Estimation • Increase: /xk(t) , Decrease xl(t) • Utility function (n = k+l) • U = - /(Rn (xR)n) • U -1/xn • U’(x) = p • log(p) = log(nK) – (n+1)log(x) • Use linear least squares to estimate n
Results: Single Bottleneck TCP Reno, U=-1/x 4x Mbps 5 ms x Mbps 20 ms Mis-Behaving (U=-1/x0.5) RED/ ECN Enabled Drop Tail
Results: Multi-Bottleneck (Drop Tail) 8 Mbps TCP Reno, U=-1/x 5 ms 20 ms 20 ms Drop-Tail Queue 0.8 Mbps 0.8 Mbps Selfish (U=-1/x0.5) Selfish (U=-1/x0.5) Without Re-Mapping With Re-Mapping TCP Flows shut out Framework prevents volume based denial of service attack.
Results: Multi-Bottleneck (RED) 8 Mbps TCP Reno, U=-1/x 5 ms 20 ms 20 ms RED Queue 0.8 Mbps 0.8 Mbps Selfish (U=-1/x0.5) Selfish (U=-1/x0.5) Without Re-Mapping With Re-Mapping Framework improves fair sharing of network
Results: Multi-Bottleneck in an ECN Enabled Network 8 Mbps TCP Reno, U=-1/x 5 ms 20 ms 20 ms RED Queue 0.8 Mbps 0.8 Mbps Selfish (U=-1/x0.5) Selfish (U=-1/x0.5) With Re-Mapping Ideal Case No Re-Mapping Congestion Response Conformance
Utility Function Estimation Results TCP Reno, U=-1/x 4x Mbps 5 ms x Mbps 20 ms Mis-Behaving (U=-1/x0.5) N = 0.6, (Ideal: N=0.5) N = 0.8, (Ideal: N=1.0) Can estimate the exponent with a very small sample set
More Results • Background Traffic • Web (http) Traffic • Single/Multi Bottleneck scenarios • Cross Traffic • Reverse path congestion • Especially important with RED • Multi-Bottleneck scenarios • Comparison with other AQM schemes • Differentiated Services
Outline • Review • Randomized TCP • Uncooperative Congestion Control • virtual AQM • Conclusions
Stream H Stream F Stream G virtual AQM: Definitions R2 R3 R1 E1 I1 R4 I1- R1 -R2 -R3 -E1 : Path
S Bytes C = 8*S/ a + c a Ceff = 8*S/c D = C - Ceff Cross-Traffic virtual AQM: Definitions • Path Capacity : Minimum Link Capacity on a Path • Send a pair of back-to-back packets through Priority Queues • Path Demand : Demand on a Path • Send a packet train through data queue
virtual AQM: Algorithm • : network utilization ( < 1) • Calculate virtual path capacity as • Cv = * path Capacity • Idea : Match Demand to Virtualpath capacityat the network edge • For every path • For every packet • Drain virtual buffer as (tn-tn-1)* Cv • Increase count of virtual buffer • If virtual buffer overflows Drop(Mark) packets < 1 => At Steady State total input rate is less than the network capacity => smaller steady state queue
virtual AQM: Results Demand Estimation vAVQ We can decouple management of bottleneck queue from AQM design
Demand Estimation vAVQ vAVQ virtual AQM: Results 8 Mbps 5 ms 20 ms 20 ms Drop Tail Queue 0.8 Mbps 0.8 Mbps
Conclusions • Network based congestion avoidance and control solutions are not deployed • De-couple congestion control task from it’s placement • Deployable architectures • Can get many beneficial properties of network based solutions • Randomized TCP • End-System based solution • Can reduce synchronization, phase effects, bias against large RTT flows, burst losses • Emulate many beneficial properties of RED (AQM).
Conclusions • Un-Cooperative Congestion Control • Edge Based Solution • De-couple management of selfish flows from AQM design • Edge-based transformation of price can handle misbehaving flows • No changes in the core • Works with packet drop or packet marking (ECN) • Independent of buffer management algorithm • virtual AQM • Edge-based proposal for managing bottleneck queues • For any path using packet probes find capacity and demand • Mark (drop) packets to match demand to path capacity • Results depend on estimation, length of virtual buffer • Initial Conceptual Prototype Presented
References • Kartikeya Chandrayana, Sthanunathan Ramakrishnan, Biplab Sikdar and Shivkumar Kalyanaraman, “On Randomizing the Sending Times in TCP and other Window Based Algorithms”, Conditional Accept for Journal of Computer Networks • Kartikeya Chandrayana and Shivkumar Kalyanaraman, “Uncooperative Congestion Control”, ACM SIGMETRICS 2004, Also under submission to IEEE Transactions on Networking. • Kartikeya Chandrayana and Shivkumar Kalyanaraman, “On Impact of Non-Conformant Flows on a Network of DropTail Gateways”, IEEE GLOBECOM 2003 • K. Chandrayana, Y. Xia, B. Sikdar and S. Kalyanaraman, “A Unified Approach to Network Design and Control with Non-Cooperative Users”, RPI Networks Lab Tech Reoprt, ECSE-NET-2002-1, March 2002
Randomized TCP: Synchronization 4x Mbps 5 ms x Mbps 20 ms Randomized TCP reduces/removes synchronization