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AIMD fallacies and shortcomings Prasad. 1 AIMD claims: Guess What !? “Proposition 3. For both feasibility and optimal convergence to fairness, the increase.

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Presentation on theme: "AIMD fallacies and shortcomings Prasad. 1 AIMD claims: Guess What !? “Proposition 3. For both feasibility and optimal convergence to fairness, the increase."— Presentation transcript:

1 AIMD fallacies and shortcomings Prasad

2 1

3 AIMD claims: Guess What !? “Proposition 3. For both feasibility and optimal convergence to fairness, the increase policy should be additive and the decrease policy should be multiplicative.”

4 AIMD claim is untrue ! Consider the following simple example: No. of users = 2 Init loads of users X 1 = 17 and X 2 = 0 Load goal, X goal = 20 Fairness goal, F goal = 99%

5 AIMD equations Let a I = 1,a D = 0, b D = 0.01 and as per AIMD claim, b I should be 1 Fairness index is given by:

6 After plugging in all the values… Result is (after 3 iterations): Now, change bI to 1.1. In other words, introduce a multiplicative-component during increase. Result then is (after 3 iterations):

7 2

8 With AIMD, there is a possibility of unlimited overload after convergence

9 AIMD equations After summing the values for n users we get,

10 Defining overload to be: We get Overload = The problem is, as n becomes large, overload becomes large as well !

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12 3

13 AIMD is rather slow w.r.t convergence of efficiency

14 4

15 All issues mentioned till now have one thing in common – they are all related to the synchronous communication system

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17 This model is too simple and unrealistic and hence, inferences made based on it may not hold at all in a real system And Guess what !?

18 5 This is the best part !

19 AIMD does not guarantee fairness ! (in a more realistic asynchronous communication system like the Internet)

20 A better model

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