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A new Markov-based model for reliability optimization problems with mixed redundancy strategy

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  • Peiravi, Abdossaber
  • Ardakan, Mostafa Abouei
  • Zio, Enrico

Abstract

This paper revisits the redundancy allocation problem (RAP) from the viewpoint of the mixed redundancy strategy. This powerful strategy has some major weaknesses originated from its complicated formulation. Previously, for estimating the reliability of this strategy a lower bound formulation was introduced. In an attempt to improve the complicated, time-consuming, and imprecise lower bound formulation previously proposed, in this paper, an exact Markov based approach is developed. Being a powerful and robust tool, it is especially advantageous for its short computation time. This is demonstrated by its implementation to solve a well-known benchmark test problem. Based on the results, the new approach finds better solutions with higher reliability values than before, with a significant reduction in the computation time.

Suggested Citation

  • Peiravi, Abdossaber & Ardakan, Mostafa Abouei & Zio, Enrico, 2020. "A new Markov-based model for reliability optimization problems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:reensy:v:201:y:2020:i:c:s0951832020304889
    DOI: 10.1016/j.ress.2020.106987
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    References listed on IDEAS

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    Cited by:

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    2. Li, Shuai & Chi, Xuefen & Yu, Baozhu, 2022. "An improved particle swarm optimization algorithm for the reliability–redundancy allocation problem with global reliability," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    3. Liang, Qingzhu & Yang, Yinghao & Zhang, Hang & Peng, Changhong & Lu, Jianchao, 2022. "Analysis of simplification in Markov state-based models for reliability assessment of complex safety systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    4. 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).
    5. Enrico Zio & Hadi Gholinezhad, 2023. "Redundancy Allocation of Components with Time-Dependent Failure Rates," Mathematics, MDPI, vol. 11(16), pages 1-27, August.
    6. Myung-Ki Baek & Heungseob Kim, 2024. "Lifetime Distribution for a Mixed Redundant System with Imperfect Switch and Components Having Phase–Type Time-to-Failure Distribution," Mathematics, MDPI, vol. 12(8), pages 1-17, April.
    7. Li, Yan-Fu & Zhang, Hanxiao, 2022. "The methods for exactly solving redundancy allocation optimization for multi-state series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    8. Ling, Chunyan & Yang, Lechang & Feng, Kaixuan & Kuo, Way, 2023. "Survival signature based robust redundancy allocation under imprecise probability," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    10. Lin, Zhixian & Tao, Longlong & Wang, Shaoxuan & Yong, Nuo & Xia, Dongqin & Wang, Jianye & Ge, Daochuan, 2024. "A subset simulation analysis framework for rapid reliability evaluation of series-parallel cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    11. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Universal redundancy strategy for system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    12. Zhang, Hanxiao & Sun, Muxia & Li, Yan-Fu, 2022. "Reliability–redundancy allocation problem in multi-state flow network: Minimal cut-based approximation scheme," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    13. 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).
    14. 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).
    15. Nabaranjan Bhattacharyee & Nirmal Kumar & Sanat Kumar Mahato & Puja Supakar, 2022. "Reliability of the illumination of the darkroom with different scenario of the switching methods in uncertain environment," 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. 13(5), pages 2482-2499, October.
    16. 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).
    17. Golmohammadi, Elnaz & Ardakan, Mostafa Abouei, 2022. "Reliability optimization problem with the mixed strategy, degrading components, and a periodic inspection and maintenance policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    18. Sedaghat, Niloofar & Ardakan, Mostafa Abouei, 2021. "G-mixed: A new strategy for redundant components in reliability optimization problems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    19. Jagtap, Hanumant P. & Bewoor, Anand K. & Kumar, Ravinder & Ahmadi, Mohammad Hossein & Chen, Lingen, 2020. "Performance analysis and availability optimization to improve maintenance schedule for the turbo-generator subsystem of a thermal power plant using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 204(C).

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