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

Xiaoliang Ling, Yazhou Zhang and Yu Gao

Journal of Risk and Reliability, 2021, vol. 235, issue 6, 998-1008

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.

Keywords: Reliability; series-parallel system; parallel-series system; majorization order; random shock process (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:235:y:2021:i:6:p:998-1008

DOI: 10.1177/1748006X211012679

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