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Reliability allocation problem in a series–parallel system

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  • Yalaoui, Alice
  • Chu, Chengbin
  • Châtelet, Eric

Abstract

In order to improve system reliability, designers may introduce in a system different technologies in parallel. When each technology is composed of components in series, the configuration belongs to the series–parallel systems. This type of system has not been studied as much as the parallel–series architecture. There exist no methods dedicated to the reliability allocation in series–parallel systems with different technologies. We propose in this paper theoretical and practical results for the allocation problem in a series–parallel system. Two resolution approaches are developed. Firstly, a one stage problem is studied and the results are exploited for the multi-stages problem. A theoretical condition for obtaining the optimal allocation is developed. Since this condition is too restrictive, we secondly propose an alternative approach based on an approximated function and the results of the one-stage study. This second approach is applied to numerical examples.

Suggested Citation

  • Yalaoui, Alice & Chu, Chengbin & Châtelet, Eric, 2005. "Reliability allocation problem in a series–parallel system," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 55-61.
    • Handle: RePEc:eee:reensy:v:90:y:2005:i:1:p:55-61
    DOI: 10.1016/j.ress.2004.10.007
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    1. Paul A. Jensen, 1970. "Optimization of Series-Parallel-Series Networks," Operations Research, INFORMS, vol. 18(3), pages 471-482, June.
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    Cited by:

    1. Azaiez, M.N. & Bier, Vicki M., 2007. "Optimal resource allocation for security in reliability systems," European Journal of Operational Research, Elsevier, vol. 181(2), pages 773-786, September.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimizing partial component activation policy in multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    3. Tavakkoli-Moghaddam, R. & Safari, J. & Sassani, F., 2008. "Reliability optimization of series-parallel systems with a choice of redundancy strategies using a genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 550-556.
    4. Belzunce, Félix & Martínez-Puertas, Helena & Ruiz, José M., 2013. "On allocation of redundant components for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 230(3), pages 573-580.
    5. Feizabadi, Mohammad & Jahromi, Abdolhamid Eshraghniaye, 2017. "A new model for reliability optimization of series-parallel systems with non-homogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 101-112.
    6. Luo, Chunling & Shen, Lijuan & Xu, Ancha, 2022. "Modelling and estimation of system reliability under dynamic operating environments and lifetime ordering constraints," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    7. 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).
    8. Meisam Sadeghi & Emad Roghanian & Hamid Shahriari & Hassan Sadeghi, 2021. "Reliability optimization for non-repairable series-parallel systems with a choice of redundancy strategies and heterogeneous components: Erlang time-to-failure distribution," Journal of Risk and Reliability, , vol. 235(3), pages 509-528, June.
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimal tasks assignment policy in multi-task multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    10. Sabri-Laghaie, Kamyar & Karimi-Nasab, Mehdi, 2019. "Random search algorithms for redundancy allocation problem of a queuing system with maintenance considerations," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 144-162.
    11. Sadjadi, Seyed Jafar & Soltani, R., 2009. "An efficient heuristic versus a robust hybrid meta-heuristic for general framework of serial–parallel redundancy problem," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1703-1710.
    12. Chambari, Amirhossain & Najafi, Amir Abbas & Rahmati, Seyed Habib A. & Karimi, Aida, 2013. "An efficient simulated annealing algorithm for the redundancy allocation problem with a choice of redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 158-164.
    13. Kayedpour, Farjam & Amiri, Maghsoud & Rafizadeh, Mahmoud & Shahryari Nia, Arash, 2017. "Multi-objective redundancy allocation problem for a system with repairable components considering instantaneous availability and strategy selection," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 11-20.
    14. Hadipour, Hassan & Amiri, Maghsoud & Sharifi, Mani, 2019. "Redundancy allocation in series-parallel systems under warm standby and active components in repairable subsystems," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    15. Kim, Kyungmee O. & Yang, Yoonjung & Zuo, Ming J., 2013. "A new reliability allocation weight for reducing the occurrence of severe failure effects," Reliability Engineering and System Safety, Elsevier, vol. 117(C), pages 81-88.
    16. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Universal redundancy strategy for system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    17. Gholinezhad, Hadi & Zeinal Hamadani, Ali, 2017. "A new model for the redundancy allocation problem with component mixing and mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 66-73.
    18. Yun, Won Young & Song, Young Man & Kim, Ho-Gyun, 2007. "Multiple multi-level redundancy allocation in series systems," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 308-313.
    19. Zaretalab, Arash & Hajipour, Vahid & Tavana, Madjid, 2020. "Redundancy allocation problem with multi-state component systems and reliable supplier selection," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    20. Zhao, Peng & Zhang, Yiying & Li, Long, 2015. "Redundancy allocation at component level versus system level," European Journal of Operational Research, Elsevier, vol. 241(2), pages 402-411.
    21. Qiu, Qingan & Cui, Lirong & Gao, Hongda & Yi, He, 2018. "Optimal allocation of units in sequential probability series systems," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 351-363.
    22. U. Dinesh Kumar & J. E. Ramírez-Márquez & D Nowicki & D Verma, 2007. "Reliability and maintainability allocation to minimize total cost of ownership in a series-parallel system," Journal of Risk and Reliability, , vol. 221(2), pages 133-140, June.

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