Availability of inspected systems subject to shocks – A matrix algorithmic approach
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 a...
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| Veröffentlicht in: | European journal of operational research 2009-02, Vol.193 (1), p.168-183 |
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| container_title | European journal of operational research |
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| creator | Frostig, Esther Kenzin, Moshe |
| description | 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. |
| doi_str_mv | 10.1016/j.ejor.2007.10.052 |
| format | Article |
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Management science</subject><subject>Phase-type distributions</subject><subject>Poisson distribution</subject><subject>Reliability</subject><subject>Reliability Compound poisson Markov additive process Martingale Phase-type distributions</subject><subject>Reliability theory. 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| identifier | ISSN: 0377-2217 |
| ispartof | European journal of operational research, 2009-02, Vol.193 (1), p.168-183 |
| issn | 0377-2217 1872-6860 |
| language | eng |
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| source | RePEc; Elsevier ScienceDirect Journals |
| subjects | Algorithms Applied sciences Compound poisson Exact sciences and technology Markov additive process Markov analysis Martingale Matrix Operational research and scientific management Operational research. Management science Phase-type distributions Poisson distribution Reliability Reliability Compound poisson Markov additive process Martingale Phase-type distributions Reliability theory. Replacement problems Studies |
| title | Availability of inspected systems subject to shocks – A matrix algorithmic approach |
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