TY  - CONF
T3  - ValueTools '13
TI  - Differential Analysis of Interacting Automata with Immediate Actions
EP  - 58
N2  - 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.
CY  - ICST, Brussels, Belgium, Belgium
A1  - Bortolussi, Luca
A1  - Tribastone, Mirco
SN  - 978-1-936968-48-0
PB  - ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering)
T2  - Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools
UR  - http://dx.doi.org/10.4108/icst.valuetools.2013.254364
M2  - Torino
KW  - differential equations
KW  -  immediate actions
KW  -  time-scale separation
SP  - 49
ID  - eprints2962
AV  - none
Y1  - 2013///
ER  -