Availability of inspected systems subject to shocks - A matrix algorithmic approach

Esther Frostig and Moshe Kenzin

European Journal of Operational Research, 2009, vol. 193, issue 1, 168-183

Abstract: We examine the limiting average availability of a maintained system that deteriorates due to random shock process and as a response to its usage (wear out). System's failures are not self-announcing, hence, failures must be detected via inspection. We consider randomly occurring shocks that arrive according to a Poisson process and cumulatively damage the system. Two models are considered: in Model 1 the shock and wear out processes are independent of the external environment and in Model 2, the shocks arrival rate, the shock magnitudes and the wear out rate are governed by a random environment which evolves as a Markov process. We obtain the system's availability for both models.

Keywords: Reliability; Compound; poisson; Markov; additive; process; Martingale; Phase-type; distributions (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:193:y:2009:i:1:p:168-183

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