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Reliability models for a nonrepairable system with heterogeneous components having a phase-type time-to-failure distribution

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  • Kim, Heungseob
  • Kim, Pansoo

Abstract

This research paper presents practical stochastic models for designing and analyzing the time-dependent reliability of nonrepairable systems. The models are formulated for nonrepairable systems with heterogeneous components having phase-type time-to-failure distributions by a structured continuous time Markov chain (CTMC). The versatility of the phase-type distributions enhances the flexibility and practicality of the systems. By virtue of these benefits, studies in reliability engineering can be more advanced than the previous studies. This study attempts to solve a redundancy allocation problem (RAP) by using these new models. The implications of mixing components, redundancy levels, and redundancy strategies are simultaneously considered to maximize the reliability of a system. An imperfect switching case in a standby redundant system is also considered. Furthermore, the experimental results for a well-known RAP benchmark problem are presented to demonstrate the approximating error of the previous reliability function for a standby redundant system and the usefulness of the current research.

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  • Kim, Heungseob & Kim, Pansoo, 2017. "Reliability models for a nonrepairable system with heterogeneous components having a phase-type time-to-failure distribution," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 37-46.
    • Handle: RePEc:eee:reensy:v:159:y:2017:i:c:p:37-46
    DOI: 10.1016/j.ress.2016.10.019
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    10. Kim, Heungseob, 2017. "Optimal reliability design of a system with k-out-of-n subsystems considering redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 572-582.
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    15. Li, Jingkui & Lu, Yuze & Liu, Xiaona & Jiang, Xiuhong, 2023. "Reliability analysis of cold-standby phased-mission system based on GO-FLOW methodology and the universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    16. Hsieh, Tsung-Jung, 2021. "Component mixing with a cold standby strategy for the redundancy allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
    17. Guilani, Pardis Pourkarim & Juybari, Mohammad N. & Ardakan, Mostafa Abouei & Kim, Heungseob, 2020. "Sequence optimization in reliability problems with a mixed strategy and heterogeneous backup scheme," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
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    19. Min Gong & Hanlin Liu & Rui Peng, 2020. "Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems," Journal of Risk and Reliability, , vol. 234(5), pages 696-707, October.
    20. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    21. Guo, Linhan & Li, Ruiyang & Wang, Yu & Yang, Jun & Liu, Yu & Chen, Yiming & Zhang, Jianguo, 2023. "Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    22. Liu, Baoliang & Wen, Yanqing & Qiu, Qingan & Shi, Haiyan & Chen, Jianhui, 2022. "Reliability analysis for multi-state systems under K-mixed redundancy strategy considering switching failure," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
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    25. Dobani, Ehsan Ramezani & Ardakan, Mostafa Abouei & Davari-Ardakani, Hamed & Juybari, Mohammad N., 2019. "RRAP-CM: A new reliability-redundancy allocation problem with heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 191(C).

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