HYPE with stochastic events

Luca Bortolussi, Vashti Galpin, Jane Hillston

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

The process algebra HYPE was recently proposed as a fine-grained modelling approach for capturing the behaviour of hybrid systems. In the original proposal, each flow or influence affecting a variable is modelled separately and the overall behaviour of the system then emerges as the composition of these flows. The discrete behaviour of the system is captured by instantaneous actions which might be urgent, taking effect as soon as some activation condition is satisfied, or non-urgent meaning that they can tolerate some (unknown) delay before happening. In this paper we refine the notion of non-urgent actions, to make such actions governed by a probability distribution. As a consequence of this we now give HYPE a semantics in terms of Transition-Driven Stochastic Hybrid Automata, which are a subset of a general class of stochastic processes termed Piecewise Deterministic Markov Processes.
Original languageEnglish
Title of host publicationProceedings Ninth Workshop on Quantitative Aspects of Programming Languages
EditorsMieke Massink, Gethin Norman
Number of pages14
Publication statusPublished - 2011

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