2. 1 Congestion Control

3. 2 Principles of Congestion Control Congestion: r informally: “too many sources sending too much data too fast for network to handle” r manifestations: m lost packets (buffer overflow at routers) m long delays (queuing in router buffers) r a highly important problem!

4. 3 Causes/costs of congestion: scenario 1 r two senders, two receivers r one router, r infinite buffers r no retransmission

5. 4 Causes/costs of congestion: scenario 1 r Throughput increases with load r Maximum total load C (Each session C/2) r Large delays when congested m The load is stochastic

6. 5 Causes/costs of congestion: scenario 2 r one router, finite buffers r sender retransmission of lost packet

7. 6 Causes/costs of congestion: scenario 2 r always: (goodput) m Like to maximize goodput! r “perfect” retransmission: m retransmit only when loss: r Actual retransmission of delayed (not lost) packet r makes larger (than perfect case) for same in out = out in out > in

8. 7 Causes/costs of congestion: scenario 2 “costs” of congestion: r more work (retrans) for given “goodput” r unneeded retransmissions: link carries (and delivers) multiple copies of pkt out ’ in out ’ in

9. 8 Causes/costs of congestion: scenario 3 r four senders r multihop paths r timeout/retransmit in Q: what happens as and increase ? in

10. 9 Causes/costs of congestion: scenario 3 Another “cost” of congestion: r when packet dropped, any “upstream” transmission capacity used for that packet was wasted!

11. 10 Approaches towards congestion control End-end congestion control: r no explicit feedback from network r congestion inferred from end-system observed loss, delay r approach taken by TCP Network-assisted congestion control: r routers provide feedback to end systems m single bit indicating congestion (SNA, DECbit, TCP/IP ECN, ATM) m explicit rate sender should send at Two broad approaches towards congestion control:

12. 11 Goals of congestion control r Throughput: m Maximize goodput m the total number of bits end-end r Fairness: m Give different sessions “equal” share. m Max-min fairness Maximize the minimum rate session. m Single link: Capacity R sessions m Each sessions: R/m

13. 12 Max-min fairness r Model: Graph G(V,e) and sessions s 1 … s m r For each session s i a rate r i is selected. r The rates are a Max-Min fair allocation: m The allocation is maximal No r i can be simply increased m Increasing allocation r i requires reducing Some session j r j ≤ r i r Maximize minimum rate session.

14. 13 Max-min fairness: Algorithm r Model: Graph G(V,e) and sessions s 1 … s m r Algorithmic view: m For each link compute its fair share f(e). Capacity / # session m select minimal fair share link. m Each session passing on it, allocate f(e). m Subtract the capacities and delete sessions m continue recessively. r Fluid view.

15. 14 Max-min fairness r Example r Throughput versus fairness.

16. 15 Case study: ATM ABR congestion control ABR: available bit rate: r “elastic service” r if sender’s path “underloaded”: m sender can use available bandwidth r if sender’s path congested: m sender lowers rate m a minimum guaranteed rate r Aim: m coordinate increase/decrease rate m avoid loss!

17. 16 Case study: ATM ABR congestion control RM (resource management) cells: r sent by sender, in between data cells m one out of every 32 cells. r RM cells returned to sender by receiver r Each router modifies the RM cell r Info in RM cell set by switches m “network-assisted” r 2 bit info. m NI bit: no increase in rate (mild congestion) m CI bit: congestion indication (lower rate)

18. 17 Case study: ATM ABR congestion control r two-byte ER (explicit rate) field in RM cell m congested switch may lower ER value in cell m sender’ send rate thus minimum supportable rate on path r EFCI bit in data cells: set to 1 in congested switch m if data cell preceding RM cell has EFCI set, sender sets CI bit in returned RM cell

19. 18 Case study: ATM ABR congestion control r How does the router selects its action: m selects a rate m Set congestion bits m Vendor dependent functionality r Advantages: m fast response m accurate response r Disadvantages: m network level design m Increase router tasks (load). m Interoperability issues.

20. 19 End to end control

21. 20 End to end feedback r Abstraction: m Alarm flag. m observable at the end stations

22. 21 Simple Abstraction

23. 22 Simple Abstraction

24. 23 Simple feedback model r Every RTT receive feedback m High Congestion Decrease rate m Low congestion Increase rate r Variable rate controls the sending rate.

25. 24 Multiplicative Update r Congestion: m Rate = Rate/2 r No Congestion: m Rate= Rate *2 r Performance m Fast response m Un-fair: Ratios unchanged

26. 25 Additive Update r Congestion: m Rate = Rate -1 r No Congestion: m Rate= Rate +1 r Performance m Slow response r Fairness: m Divides spare BW equally m Difference remains unchanged

27. 26 AIMD Scheme r Additive Increase m Fairness: ratios improves r Multiplicative Decrease m Fairness: ratio unchanged m Fast response r Performance: m Congestion - Fast response m Fairness overflow

28. 27 AIMD: Two users, One link BW limit Fairness Rate of User 1 Rate of User 2

29. 28 TCP & AIMD: congestion r Dynamic window size [Van Jacobson] m Initialization: Slow start m Steady state: AIMD r Congestion = timeout m TCP Taheo r Congestion = timeout || 3 duplicate ACK m TCP Reno & TCP new Reno r Congestion = higher latency m TCP Vegas

30. 29 TCP Congestion Control r end-end control (no network assistance)  transmission rate limited by congestion window size, Congwin, over segments: r w segments, each with MSS bytes sent in one RTT: throughput = w * MSS RTT Bytes/sec Congwin

31. 30 TCP congestion control: r two “phases” m slow start m congestion avoidance r important variables:  Congwin  threshold: defines threshold between two slow start phase, congestion control phase r “probing” for usable bandwidth:  ideally: transmit as fast as possible ( Congwin as large as possible) without loss  increase Congwin until loss (congestion)  loss: decrease Congwin, then begin probing (increasing) again

32. 31 TCP Slowstart r exponential increase (per RTT) in window size (not so slow!) r In case of timeout: m Threshold=CongWin/2 initialize: Congwin = 1 for (each segment ACKed) Congwin++ until (congestion event OR CongWin > threshold) Slowstart algorithm Host A one segment RTT Host B time two segments four segments

33. 32 TCP Taheo Congestion Avoidance /* slowstart is over */ /* Congwin > threshold */ Until (timeout) { /* loss event */ every ACK: Congwin += 1/Congwin } threshold = Congwin/2 Congwin = 1 perform slowstart Congestion avoidance TCP Taheo

34. 33 TCP Reno r Fast retransmit: m After receiving 3 duplicate ACK m Resend first packet in window. Try to avoid waiting for timeout r Fast recovery: m After retransmission do not enter slowstart. m Threshold = Congwin/2 m Congwin = 3 + Congwin/2 m Each duplicate ACK received Congwin++ m After new ACK Congwin = Threshold return to congestion avoidance r Single packet drop: great!

35. 34 TCP Vegas: r Idea: track the RTT m Try to avoid packet loss m latency increases: lower rate m latency very low: increase rate r Implementation: m sample_RTT: current RTT m Base_RTT: min. over sample_RTT m Expected = Congwin / Base_RTT m Actual = number of packets sent / sample_RTT m  =Expected - Actual

36. 35 TCP Vegas r  = Expected - Actual r Congestion Avoidance: m two parameters:  and ,  <  m If (  <  ) Congwin = Congwin +1 m If (  >  ) Congwin = Congwin -1 m Otherwise no change m Note: Once per RTT r Slowstart m parameter  m If (  >  ) then move to congestion avoidance r Timeout: same as TCP Taheo

37. 36 TCP Dynamics: Rate r TCP Reno with NO Fast Retransmit or Recovery r Sending rate: Congwin*MSS / RTT r Assume fixed RTT W W/2 r Actual Sending rate: m between W*MSS / RTT and (1/2) W*MSS / RTT m Average (3/4) W*MSS / RTT

38. 37 TCP Dynamics: Loss r Loss rate (TCP Reno) m No Fast Retransmit or Recovery r Consider a cycle r Total packet sent: m about (3/8) W 2 MSS/RTT = O(W 2 ) m One packet loss r Loss Probability: p=O(1/W 2 ) or W=O(1/  p) W W/2

39. 38 TCP latency modeling Q: How long does it take to receive an object from a Web server after sending a request? r TCP connection establishment r data transfer delay Notation, assumptions: r Assume one link between client and server of rate R r Assume: fixed congestion window, W segments r S: MSS (bits) r O: object size (bits) r no retransmissions m no loss, no corruption

40. 39 TCP latency modeling Optimal Setting: Time = O/R Two cases to consider: r WS/R > RTT + S/R: m ACK for first segment in window returns before window’s worth of data sent r WS/R < RTT + S/R: m wait for ACK after sending window’s worth of data sent

41. 40 TCP latency Modeling Case 1: latency = 2RTT + O/R Case 2: latency = 2RTT + O/R + (K-1)[S/R + RTT - WS/R] K:= O/WS

42. 41 TCP Latency Modeling: Slow Start r Now suppose window grows according to slow start. r Will show that the latency of one object of size O is: where P is the number of times TCP stalls at server: - where Q is the number of times the server would stall if the object were of infinite size. - and K is the number of windows that cover the object.

43. 42 TCP Latency Modeling: Slow Start (cont.) Example: O/S = 15 segments K = 4 windows Q = 2 P = min{K-1,Q} = 2 Server stalls P=2 times.

44. 43 TCP Latency Modeling: Slow Start (cont.)

45. 44 Flow Control

46. 45 TCP Flow Control receiver: explicitly informs sender of (dynamically changing) amount of free buffer space  RcvWindow field in TCP segment sender: keeps the amount of transmitted, unACKed data less than most recently received RcvWindow sender won’t overrun receiver’s buffers by transmitting too much, too fast flow control receiver buffering RcvBuffer = size or TCP Receive Buffer RcvWindow = amount of spare room in Buffer

47. 46 TCP: setting timeouts

48. 47 TCP Round Trip Time and Timeout Q: how to set TCP timeout value? r longer than RTT m note: RTT will vary r too short: premature timeout m unnecessary retransmissions r too long: slow reaction to segment loss Q: how to estimate RTT?  SampleRTT : measured time from segment transmission until ACK receipt m ignore retransmissions, cumulatively ACKed segments  SampleRTT will vary, want estimated RTT “smoother”  use several recent measurements, not just current SampleRTT

49. 48 TCP Round Trip Time and Timeout EstimatedRTT = (1-x)*EstimatedRTT + x*SampleRTT r Exponential weighted moving average r influence of given sample decreases exponentially fast r typical value of x: 0.1 Setting the timeout  EstimtedRTT plus “safety margin”  large variation in EstimatedRTT -> larger safety margin Timeout = EstimatedRTT + 4*Deviation Deviation = (1-x)*Deviation + x*|SampleRTT-EstimatedRTT|