eprintid: 2962 rev_number: 5 eprint_status: archive userid: 69 dir: disk0/00/00/29/62 datestamp: 2015-12-03 13:38:45 lastmod: 2015-12-03 13:38:45 status_changed: 2015-12-03 13:38:45 type: conference_item metadata_visibility: show creators_name: Bortolussi, Luca creators_name: Tribastone, Mirco creators_id: creators_id: mirco.tribastone@imtlucca.it title: Differential Analysis of Interacting Automata with Immediate Actions ispublished: pub subjects: QA75 divisions: CSA full_text_status: none pres_type: paper keywords: differential equations, immediate actions, time-scale separation abstract: The stochastic modelling of software systems with activities of durations that are separated by many orders of magnitude typically leads to numerical complications, due to stiffness. To avoid explicit state-space generation-a prerequisite to tackle this problem via suitable manipulations or aggregations-in this paper we present an accurate and scalable fluid approximation. It is expressed as a compact piecewise linear system of ordinary differential equations, which have discontinuous right-hand sides as a result of the incorporation of immediateness. We study the nature of this approximation in a general high-level framework of interacting automata. On a case study of client/server interaction, our approach is ca two times faster than the analysis conducted on the stiff equations where immediate actions are explicitly modelled. date: 2013 date_type: published series: ValueTools '13 publisher: ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering) place_of_pub: ICST, Brussels, Belgium, Belgium pagerange: 49-58 event_title: Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools event_location: Torino event_dates: 10-12 Decembre, 2013 event_type: conference id_number: 10.4108/icst.valuetools.2013.254364 refereed: TRUE isbn: 978-1-936968-48-0 book_title: ValueTools '13. Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools official_url: http://dx.doi.org/10.4108/icst.valuetools.2013.254364 citation: Bortolussi, Luca and Tribastone, Mirco Differential Analysis of Interacting Automata with Immediate Actions. In: Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools, 10-12 Decembre, 2013, Torino pp. 49-58. ISBN 978-1-936968-48-0. (2013)