relation: http://eprints.imtlucca.it/2962/ title: Differential Analysis of Interacting Automata with Immediate Actions creator: Bortolussi, Luca creator: Tribastone, Mirco subject: QA75 Electronic computers. Computer science description: 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. publisher: ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering) date: 2013 type: Conference or Workshop Item type: PeerReviewed identifier: 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) relation: http://dx.doi.org/10.4108/icst.valuetools.2013.254364 relation: 10.4108/icst.valuetools.2013.254364