The load transfer model

M. Beguin, L. Gray, B. Ycart

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

An interacting particle model for load transferring in parallel architectures is defined. In the case of an infinite lattice the model is proved to be ergodic and to converge exponentially fast to its equilibrium. When the architecture is that of a complete graph, the total number of loads behaves as a birth and death process, and explicit upper bounds on the benefits that can be expected from a transferring policy are derived. Experimental results for different types of architectures are presented and compared to the solution of the mean field equations. There is fairly good agreement between the two for quantities of practical interest.

Original languageEnglish (US)
Pages (from-to)337-353
Number of pages17
JournalAnnals of Applied Probability
Volume8
Issue number2
DOIs
StatePublished - May 1998

Keywords

  • Ergodicity
  • Interacting particle system
  • Load transferring

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    Beguin, M., Gray, L., & Ycart, B. (1998). The load transfer model. Annals of Applied Probability, 8(2), 337-353. https://doi.org/10.1214/aoap/1028903530