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Stochastic hybrid automata model for dynamic reliability assessment

Abstract : A dynamic hybrid system is described by a set of continuous variables and a set of discrete events interacting together. The reality also requires taking into account component failures and the stochastic behaviour of the system. Some events or variables then take a stochastic character. In this paper, the concept of Stochastic Hybrid Automaton (SHA) and its abilities to handle interactions between components failures, physical variables of the process and operating modes of the system are presented. It is now a tool for the Monte Carlo simulation that allows the evaluation of dependability parameters in dynamic context. As a validation, our approach has been applied to a benchmark already used by some other ones (continuous cell-to-cell mapping technique, stochastic Petri nets, piecewise deterministic Markov processes...). Its main interest is to show how the dependency between the probability distribution of a component failure and a physical continuous variable (temperature) may be handled. As an illustration of its other abilities, the SHA approach has been applied to a second application including particularly components with multiple ageing modes. This example has the main interest of highlighting the problems of the modelling and the dependability assessment of a hybrid dynamic system.
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https://hal.archives-ouvertes.fr/hal-00530357
Contributor : Nicolae Brinzei Connect in order to contact the contributor
Submitted on : Thursday, October 28, 2010 - 4:26:01 PM
Last modification on : Friday, October 23, 2020 - 8:38:03 AM

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Gabriel Antonio Perez Castaneda, Jean-François Aubry, Nicolae Brinzei. Stochastic hybrid automata model for dynamic reliability assessment. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, SAGE Publications, 2011, 225 (1), pp.28-41. ⟨10.1177/1748006XJRR312⟩. ⟨hal-00530357⟩

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