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Limit Behavior of the Hybrid Approximation of Stochastic Process Algebras

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Analytical and Stochastic Modeling Techniques and Applications (ASMTA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6148))

Abstract

We investigate the limit behavior of a class of stochastic hybrid systems obtained by hybrid approximation of Stochastic Concurrent Constraint Programming (sCCP). We prove that a sequence of Continuous Time Markov Chain (CTMC), constructed from sCCP programs parametrically with respect to a notion of system size, converges a.s., in the limit of divergent size, to the hybrid approximation.

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Bortolussi, L. (2010). Limit Behavior of the Hybrid Approximation of Stochastic Process Algebras. In: Al-Begain, K., Fiems, D., Knottenbelt, W.J. (eds) Analytical and Stochastic Modeling Techniques and Applications. ASMTA 2010. Lecture Notes in Computer Science, vol 6148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13568-2_26

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  • DOI: https://doi.org/10.1007/978-3-642-13568-2_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13567-5

  • Online ISBN: 978-3-642-13568-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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