eprintid: 2575 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/25/75 datestamp: 2015-02-09 09:41:12 lastmod: 2015-02-09 09:41:12 status_changed: 2015-02-09 09:41:12 type: book_section metadata_visibility: show creators_name: Bortolussi, Luca creators_name: Galpin, Vashti creators_name: Hillston, Jane creators_name: Tribastone, Mirco creators_id: creators_id: creators_id: creators_id: mirco.tribastone@imtlucca.it title: Hybrid semantics for PEPA ispublished: pub subjects: QA75 divisions: CSA full_text_status: none 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. date: 2010-09 date_type: published publisher: IEEE pagerange: 181-190 event_title: Quantitative Evaluation of Systems (QEST), 2010 Seventh International Conference on the id_number: 10.1109/QEST.2010.31 refereed: TRUE isbn: 978-1-4244-8082-1 book_title: Proceedings of the 7th International Conference on the Quantitative Evaluation of Systems (QEST) official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5600389&isnumber=5600366 citation: 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)