eprintid: 2581 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/25/81 datestamp: 2015-02-09 11:05:12 lastmod: 2015-02-09 11:05:12 status_changed: 2015-02-09 11:05:12 type: book_section metadata_visibility: show creators_name: Tribastone, Mirco creators_id: mirco.tribastone@imtlucca.it title: Approximate mean value analysis of process algebra models ispublished: pub subjects: QA75 divisions: CSA full_text_status: none abstract: Studying the existence of product forms of performance models described with compositional techniques is of central importance since this may lead to particularly efficient solution methods. This paper considers a class of models in the stochastic process algebra PEPA which do not enjoy the exact product form solutions available in the literature. However, they can be interpreted as queueing networks with service vacations and multiple resource possession, which have been shown to admit accurate analytical approximations based on mean value analysis. Special attention is devoted to situations where the use of the competing approximate method based on ordinary differential equations may be questionable due to the presence of components with few replicas. date: 2011-07 publisher: IEEE pagerange: 369-378 event_title: Modeling, Analysis Simulation of Computer and Telecommunication Systems (MASCOTS), 2011 IEEE 19th International Symposium on id_number: 10.1109/MASCOTS.2011.28 refereed: TRUE isbn: 978-1-4577-0468-0 book_title: Proceedings of the 19th International Symposium on Modeling, Analysis & Simulation of Computer and Telecommunication Systems (MASCOTS) official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6005381&isnumber=6005352 citation: Tribastone, Mirco Approximate mean value analysis of process algebra models. In: Proceedings of the 19th International Symposium on Modeling, Analysis & Simulation of Computer and Telecommunication Systems (MASCOTS). IEEE, pp. 369-378. ISBN 978-1-4577-0468-0 (2011)