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Optimal reliability design of a system with k-out-of-n subsystems considering redundancy strategies

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  • Kim, Heungseob

Abstract

This study presents new reliability models for k-out-of-n systems using a structured continuous-time Markov chain. The approach makes it comfortable to identify the characteristics of the lifetime of the system, such as reliability and expected lifetime. To demonstrate the advantage, the analysis results of them for the multi-spectral camera system, which is the only payload of Korea multi-purpose satellite-2 as an example of a real system. Furthermore, existing studies on a k-out-of-n system with standby redundancy has provided the approximated reliability for it. In this paper, it is confirmed that the approximation error could have an effect on the reliability design for a system. Moreover, new versions of reliability optimization problems, redundancy allocation problem (RAP) and reliability-redundancy allocation problem(RRAP), are proposed. In order to maximize system reliability, they further determine the redundancy strategy, either active or standby redundancy for each k-out-of-n subsystem from the traditional problems. A parallel genetic algorithm is proposed for an RRAP modeled by nonlinear mixed integer programming.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:167:y:2017:i:c:p:572-582
    DOI: 10.1016/j.ress.2017.07.004
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    References listed on IDEAS

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    1. 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.
    2. Sleptchenko, Andrei & van der Heijden, Matthieu, 2016. "Joint optimization of redundancy level and spare part inventories," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 64-74.
    3. 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.
    4. Zhang, Enze & Chen, Qingwei, 2016. "Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 83-92.
    5. Nahas, Nabil & Nourelfath, Mustapha & Ait-Kadi, Daoud, 2007. "Coupling ant colony and the degraded ceiling algorithm for the redundancy allocation problem of series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 211-222.
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    Cited by:

    1. Ramezani, Reza & Sedaghat, Yasser & Naghibzadeh, Mahmoud & Clemente, Juan Antonio, 2018. "A decomposition-based reliability and makespan optimization technique for hardware task graphs," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 13-24.
    2. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Redundancy strategies assessment and optimization of k-out-of-n systems based on Markov chains and genetic algorithms," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    3. Farhadi, Mohammad & Shahrokhi, Mahmoud & Rahmati, Seyed Habib A, 2022. "Developing a supplier selection model based on Markov chain and probability tree for a k-out-of-N system with different quality of spare parts," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    4. Enrico Zio & Hadi Gholinezhad, 2023. "Redundancy Allocation of Components with Time-Dependent Failure Rates," Mathematics, MDPI, vol. 11(16), pages 1-27, August.
    5. Nizar Mannai & Soufiane Gasmi, 2020. "Optimal design of k-out-of-n system under first and last replacement in reliability theory," Operational Research, Springer, vol. 20(3), pages 1353-1368, September.
    6. Soheil Azizi & Milad Mohammadi, 2023. "Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 1021-1044, June.
    7. Abouei Ardakan, Mostafa & Rezvan, Mohammad Taghi, 2018. "Multi-objective optimization of reliability–redundancy allocation problem with cold-standby strategy using NSGA-II," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 225-238.
    8. Eryilmaz, Serkan, 2018. "The number of failed components in a k-out-of-n system consisting of multiple types of components," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 246-250.
    9. Zhang, Jianchun & Li, Lei & Chen, Zhiwei, 2021. "Strength–redundancy allocation problem using artificial bee colony algorithm for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    10. Bai, Senyang & Jia, Xiang & Cheng, Zhijun & Guo, Bo, 2021. "Operation strategy optimization for on-orbit satellite subsystems considering multiple active switching," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    11. Jung, Seunghwa & Choi, Jihwan P., 2019. "Predicting system failure rates of SRAM-based FPGA on-board processors in space radiation environments," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 374-386.
    12. Vu, Hai Canh & Do, Phuc & Fouladirad, Mitra & Grall, Antoine, 2020. "Dynamic opportunistic maintenance planning for multi-component redundant systems with various types of opportunities," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    13. Chen, Zhiwei & Zhang, Hao & Wang, Xinyue & Yang, Jinling & Dui, Hongyan, 2024. "Reliability analysis and redundancy design of satellite communication system based on a novel Bayesian environmental importance," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    14. Zhang, Jinchun & Lv, Hang & Hou, Jinxiu, 2023. "A novel general model for RAP and RRAP optimization of k-out-of-n:G systems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    15. Eslami Baladeh, Aliakbar & Taghipour, Sharareh, 2022. "Reliability optimization of dynamic k-out-of-n systems with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    16. 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).
    17. Endharta, Alfonsus Julanto & Yun, Won Young & Ko, Young Myoung, 2018. "Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 226-236.
    18. Wang, Wei & Lin, Mingqiang & Fu, Yongnian & Luo, Xiaoping & Chen, Hanghang, 2020. "Multi-objective optimization of reliability-redundancy allocation problem for multi-type production systems considering redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    19. Torrado, Nuria & Arriaza, Antonio & Navarro, Jorge, 2021. "A study on multi-level redundancy allocation in coherent systems formed by modules," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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