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Component selection for optimal reliability of a repairable load-sharing system

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  • Seongjun Park
  • Jihye Choi
  • Kyungmee O. Kim

Abstract

This study determines the number of components in each subsystem that maximizes the reliability of a load-sharing k out of n system when repair is performed at the subsystem level. Previous studies have obtained the system availability given that repair is performed for each component failure. We explain how the statistical flowgraph model is used for computing system reliability under the assumption of an inverse Gaussian distribution for the repair of each subsystem and an exponential distribution for the lifetime of a component operating at a fixed load. A closed-form expression is derived for the transition probability between the system states and the moment generating function of the corresponding waiting time distribution conditional on the transition. By comparing the reliability of systems using different numbers of components in subsystems, we explain how the optimal solution is affected by the repair process and the component homogeneity among subsystems. We discover that, if repair is not considered, it is optimal to use a single subsystem that has the maximum reliability across different operating loads, whereas the use of multiple subsystems is beneficial if repair is performed for a subsystem with a small number of components.

Suggested Citation

  • Seongjun Park & Jihye Choi & Kyungmee O. Kim, 2024. "Component selection for optimal reliability of a repairable load-sharing system," Journal of Risk and Reliability, , vol. 238(5), pages 1009-1022, October.
    • Handle: RePEc:sae:risrel:v:238:y:2024:i:5:p:1009-1022
    DOI: 10.1177/1748006X231193485
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    References listed on IDEAS

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    1. Xinshui Yu & Tianxiang Yu & Kunling Song & Bifeng Song, 2021. "Reliability analysis of load-sharing parallel systems considering equivalent strength degradation," Journal of Risk and Reliability, , vol. 235(2), pages 193-200, April.
    2. Mostafa Abouei Ardakan & Mohammad Sima & Ali Zeinal Hamadani & David W. Coit, 2016. "A novel strategy for redundant components in reliability--redundancy allocation problems," IISE Transactions, Taylor & Francis Journals, vol. 48(11), pages 1043-1057, November.
    3. Bin Liu & Min Xie & Way Kuo, 2016. "Reliability modeling and preventive maintenance of load-sharing systemswith degrading components," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 699-709, August.
    4. Zhengcheng Zhang & Yonghong Yang & Danqing Li, 2022. "Estimation of parameters for load-sharing parallel systems under exponential Pareto distribution," Journal of Risk and Reliability, , vol. 236(2), pages 248-255, April.
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