Compositional Model Checking of product-form CTMCs
Paolo Ballarini and András Horváth
Abstract:
Product form Markov chains are a class of compositional Markovian models
that can be proved to benefit from a decomposed solution of the
steady-state distribution (i.e. the steady-state distribution is given by
the product of the components steady-state distributions). In this paper
we focus on the Boucherie product processes, a specific class of product
form Continuous Time Markov Chains. We show that the compositional
constraints that lead to the product form result in that class, can be
exploited in the model checking problem as well, leading to a decomposed
semantics for a fragment of the Continuous Stochastic Logic.
Keywords: Compositional Stochastic Model Checking, Product-form Markov
Chains
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András Horváth, 2008-06-25