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.
@article{1028903530,
author = {Beguin, M. and Gray, L. and Ycart, B.},
title = {The load transfer model},
journal = {Ann. Appl. Probab.},
volume = {8},
number = {1},
year = {1998},
pages = { 337-353},
language = {en},
url = {http://dml.mathdoc.fr/item/1028903530}
}
Beguin, M.; Gray, L.; Ycart, B. The load transfer model. Ann. Appl. Probab., Tome 8 (1998) no. 1, pp. 337-353. http://gdmltest.u-ga.fr/item/1028903530/