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Weighted ECMP for IP Network

1

Motivation


Equal-Cost Multipath (ECMP) routing equally split traffic among the multiple paths [4]. However, evenly splitting traffic among the paths does not achieve optimal load balancing
0.5
0.5

S1

0.5

D1

0.5

3

0.5

1

4

0.5
0.5

0.5

5



2

0.5
0.5

S2

1

D2

6

Link between node 3 and node 4 becomes a bottleneck link.

2

Proposal
• Weighted ECMP
– distributes traffic among available equal cost paths based on a set of predetermined ratios.
– While most existing work tries to minimize the traffic load on the most utilized link, we develop a model to optimize the end-to-end delay
– present a heuristic algorithm to obtain the nearoptimal weight configuration.

3

Problem Formulation


The network is represented by a connected graph G(V,E) with node set V and directed edge set E. Let’s denote the notations as follows:



Link delay



Path delay

4

Problem Formulation


Since optimizing the delay of path with higher traffic load would give us more performance gain. We assign path load hdαdp as a weight to each path. Total weighted end-to-end delay for demand d.



Our objective is to minimize overall end-to-end delay in the network.



Since



After transformation, our objective turns out to be minimizing average packet delay.

5

Problem Formulation


Let Fe(ye) denote ye /(ce − ye). The problem can be formulated as follows:

6

Heuristic Algorithm Description





State S: determined by split ratios for multi-path of each source and destination pair in the network.
Energy function E: used for state evaluation.
Temperature T: the remaining iterations before termination. T0 is the initial value of T.
Acceptance probability P: probability of transition from current state S with energy E = E(S) to neighbor state Sn with energy En = E(Sn).

7

Heuristic Algorithm Description

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