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

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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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    References listed on IDEAS

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    1. Ling, Xiaoliang & Wei, Yinzhao & Si, Shubin, 2019. "Reliability optimization of k-out-of-n system with random selection of allocative components," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 186-193.
    2. Ouzineb, Mohamed & Nourelfath, Mustapha & Gendreau, Michel, 2008. "Tabu search for the redundancy allocation problem of homogenous series–parallel multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1257-1272.
    3. Cha, Ji Hwan, 2011. "Comparison of combined stochastic risk processes and its applications," European Journal of Operational Research, Elsevier, vol. 215(2), pages 404-410, December.
    4. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2017. "Redundancy optimization for series-parallel phased mission systems exposed to random shocks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 554-560.
    5. Harshinder Singh & Radhey S. Singh, 1997. "Note: Optimal allocation of resources to nodes of series systems with respect to failure‐rate ordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 147-152, February.
    6. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability–redundancy allocation problem considering optimal redundancy strategy using parallel genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 153-160.
    7. Rui Peng & Qingqinq Zhai & Liudong Xing & Jun Yang, 2016. "Reliability analysis and optimal structure of series-parallel phased-mission systems subject to fault-level coverage," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 736-746, August.
    8. Levitin, Gregory & Hausken, Kjell, 2010. "Separation in homogeneous systems with independent identical elements," European Journal of Operational Research, Elsevier, vol. 203(3), pages 625-634, June.
    9. Levitin, Gregory & Finkelstein, Maxim, 2017. "Effect of element separation in series-parallel systems exposed to random shocks," European Journal of Operational Research, Elsevier, vol. 260(1), pages 305-315.
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    Cited by:

    1. Shivani Choudhary & Mangey Ram & Nupur Goyal & Seema Saini, 2024. "Reliability and cost optimization of series–parallel system with metaheuristic algorithm," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(4), pages 1456-1466, April.

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