Stochastic Comparison for Resource Sharing Models

F. Forbes, O. Francois, B. Ycart

1996, v.2, Issue 4, 581-606


New models for resource sharing situations are defined. These models are Markovian versions of the drinking philosophers problem introduced by Chandy and Misra. They can be viewed as interacting particle systems, for which the classical stochastic comparison results for spin systems are generalised. Several applications to resource sharing models are proposed.

Keywords: resource sharing,philosophers process,interacting particle system,stochastic comparison


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