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Mean-field approximations for performance models with generally-timed transitions

Richard Hayden

Journal Article
SIGMETRICS Performance Evaluation Review
December, 2011
Abstract

We show how the popular mean-field approach for analysing Markovian models of massively-parallel computer systems can be extended to incorporate generally-timed transitions. Specifically, in the context of a simple peer-to-peer software update model, we show how systems of delay differential equations can be formally derived from such models. Finally, we verify empirically that the approximation is accurate and converges under the usual mean-field scaling.

Keywords
Fluid and ODE analysis
Performance Modelling and Analysis
Petri Nets
Process Algebra
Queueing theory
AESOP
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