Optimum diffusion for load balancing in mesh networks

Authors:
George S. Markomanolis;Nikolaos M. Missirlis
Affiliations:
Department of Informatics and Telecommunications, University of Athens, Athens, Greece and University of Lyon, LIP Laboratory, ENS Lyon, INRIA, Lyon cedex 07, France;Department of Informatics and Telecommunications, University of Athens, Athens, Greece
Venue:
EuroPar'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part I
Year:
2010

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Abstract

This paper studies the Diffusion method for the load balancing problem in case of weighted mesh graphs. Closed form formulae for the optimum values of the edge weights are determined using local Fourier analysis. It is shown that an extrapolated version of Diffusion (EDF) can become twice as fast for orthogonal mesh graphs. Also, as a byproduct of our analysis it is shown that EDF on tori is four times faster than on meshes.