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

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  • Frostig, Esther
  • Kenzin, Moshe
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    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.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4R3357R-4/2/8beb5432bfac6067052f8eb0dead061d
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 1 (February)
    Pages: 168-183

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:1:p:168-183

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Reliability Compound poisson Markov additive process Martingale Phase-type distributions;

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    Cited by:
    1. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2011. "Two shock and wear systems under repair standing a finite number of shocks," European Journal of Operational Research, Elsevier, vol. 214(2), pages 298-307, October.

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