Bortolussi, Luca and Galpin, Vashti and Hillston, Jane and Tribastone, Mirco
*Hybrid semantics for PEPA.*
In:
Proceedings of the 7th International Conference on the Quantitative Evaluation of Systems (QEST).
IEEE, pp. 181-190.
ISBN 978-1-4244-8082-1
(2010)

## Abstract

In order to circumvent the problem of state-space explosion of large-scale Markovian models, the stochastic process algebra PEPA has been given a fluid semantics based on ordinary differential equations, treating all entities as continuous. However, low numbers of instances and/or relatively slow dynamics may make such approximation too coarse for some parts of the system. To deal with such situations, we propose an hybrid semantics lying between these two extremes, treating parts of the system as discrete and stochastic and others as continuous and deterministic. The underlying mathematical object for the quantitative evaluation is a stochastic hybrid automaton. A case study of a client/server system with breakdowns and repairs is used to discuss the accuracy and the cost of this hybrid analysis.

Item Type: | Book Section |
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Identification Number: | 10.1109/QEST.2010.31 |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Research Area: | Computer Science and Applications |

Depositing User: | Ms T. Iannizzi |

Date Deposited: | 09 Feb 2015 09:41 |

Last Modified: | 09 Feb 2015 09:41 |

URI: | http://eprints.imtlucca.it/id/eprint/2575 |

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