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Derivation of Passage-time Densities in PEPA Models using ipc: the Imperial PEPA Compiler

Jeremy T. Bradley, Nicholas J. Dingle, Stephen T. Gilmore, William J. Knottenbelt

Conference or Workshop Paper
MASCOTS'03, 11th IEEE/ACM International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunications Systems
October, 2003
IEEE Computer Society Press
DOI 10.1109/MASCOT.2003.1240679

We present a technique for defining and extracting passage-time densities from high-level stochastic process algebra models. Our high-level formalism is PEPA, a popular Markovian process algebra for expressing compositional performance models. We introduce ipc, a tool which can process PEPA-specified passage-time densities and models by compiling the PEPA model and passage specification into the DNAmaca formalism. DNAmaca is an established modelling language for the low-level specification of very large Markov and semi-Markov chains. We provide performance results for ipc/DNAmaca and comparisons with another tool which supports PEPA, PRISM. Finally, we generate passage-time densities and quantiles for a case study of a high-availability web server.


Gabriele Kotsis (Ed.)

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