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Reliability optimization in series-parallel and parallel-series systems subject to random shocks

Author

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  • Xiaoliang Ling
  • Yazhou Zhang
  • Yu Gao

Abstract

Consider a series-parallel (parallel-series) system composed of k subsystems subject to m independent stochastically identical nonhomogeneous Poisson processes, its reliability optimization problems are analysed in this paper. The reliability function of the series-parallel (parallel-series) system is presented. We study the optimal subsystems grouping policy to maximize the system reliability. It is shown that the series-parallel (parallel-series) system is more reliable (unreliable) when more subsystems share a common combined shock process. Different allocation policies of components are compared in terms of majorization order. Some examples are given to illustrate the results.

Suggested Citation

  • Xiaoliang Ling & Yazhou Zhang & Yu Gao, 2021. "Reliability optimization in series-parallel and parallel-series systems subject to random shocks," Journal of Risk and Reliability, , vol. 235(6), pages 998-1008, December.
    • Handle: RePEc:sae:risrel:v:235:y:2021:i:6:p:998-1008
    DOI: 10.1177/1748006X211012679
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