Stochastic hybrid automata model for dynamic reliability assessment

G A Pérez Castañeda, Aubry J-F and N Brinzei

Journal of Risk and Reliability, 2011, vol. 225, issue 1, 28-41

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. The current paper presents the concept of a stochastic hybrid automaton (SHA) and its abilities to handle interactions between component failures, physical variables of the process, and operating modes of the system. Its use as a tool for Monte Carlo simulation that allows the evaluation of dependability parameters in a dynamic context is proposed. As a validation, the SHA approach has been applied to a benchmark problem studied by some other authors using different techniques (continuous cell-to-cell mapping technique, stochastic Petri nets, and piecewise deterministic Markov processes). The 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 particular components with multiple ageing modes. In this example the main interest is to highlight the problems of the modelling and the dependability assessment of a hybrid dynamic system.

Keywords: dynamic reliability; stochastic hybrid automaton; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:225:y:2011:i:1:p:28-41

DOI: 10.1177/1748006XJRR312

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