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Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization

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  • Zhang, Enze
  • Chen, Qingwei

Abstract

Most of the existing works addressing reliability redundancy allocation problems are based on the assumption of fixed reliabilities of components. In real-life situations, however, the reliabilities of individual components may be imprecise, most often given as intervals, under different operating or environmental conditions. This paper deals with reliability redundancy allocation problems modeled in an interval environment. An interval multi-objective optimization problem is formulated from the original crisp one, where system reliability and cost are simultaneously considered. To render the multi-objective particle swarm optimization (MOPSO) algorithm capable of dealing with interval multi-objective optimization problems, a dominance relation for interval-valued functions is defined with the help of our newly proposed order relations of interval-valued numbers. Then, the crowding distance is extended to the multi-objective interval-valued case. Finally, the effectiveness of the proposed approach has been demonstrated through two numerical examples and a case study of supervisory control and data acquisition (SCADA) system in water resource management.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:145:y:2016:i:c:p:83-92
    DOI: 10.1016/j.ress.2015.09.008
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    6. Enrico Zio & Hadi Gholinezhad, 2023. "Redundancy Allocation of Components with Time-Dependent Failure Rates," Mathematics, MDPI, vol. 11(16), pages 1-27, August.
    7. Vahid Mahmoodian & Iman Dayarian & Payman Ghasemi Saghand & Yu Zhang & Hadi Charkhgard, 2022. "A Criterion Space Branch-and-Cut Algorithm for Mixed Integer Bilinear Maximum Multiplicative Programs," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1453-1470, May.
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    10. Wu, Xin-yang & Wu, Xiao-yue & Balakrishnan, Narayanaswamy, 2018. "Reliability allocation model and algorithm for phased mission systems with uncertain component parameters based on importance measure," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 266-276.
    11. Cao, Ran & Coit, David W. & Hou, Wei & Yang, Yushu, 2020. "Game theory based solution selection for multi-objective redundancy allocation in interval-valued problem parameters," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    12. Guilani, Pedram Pourkarim & Azimi, Parham & Niaki, S.T.A. & Niaki, Seyed Armin Akhavan, 2016. "Redundancy allocation problem of a system with increasing failure rates of components based on Weibull distribution: A simulation-based optimization approach," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 187-196.
    13. Pradip Kundu, 2021. "A multi-objective reliability-redundancy allocation problem with active redundancy and interval type-2 fuzzy parameters," Operational Research, Springer, vol. 21(4), pages 2433-2458, December.
    14. 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).
    15. 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.
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    18. Alikar, Najmeh & Mousavi, Seyed Mohsen & Raja Ghazilla, Raja Ariffin & Tavana, Madjid & Olugu, Ezutah Udoncy, 2017. "Application of the NSGA-II algorithm to a multi-period inventory-redundancy allocation problem in a series-parallel system," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 1-10.
    19. Du, Mengyu & Li, Yan-Fu, 2020. "An investigation of new local search strategies in memetic algorithm for redundancy allocation in multi-state series-parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    20. Jiangbin Zhao & Shubin Si & Zhiqiang Cai & Ming Su & Wei Wang, 2019. "Multiobjective optimization of reliability–redundancy allocation problems for serial parallel-series systems based on importance measure," Journal of Risk and Reliability, , vol. 233(5), pages 881-897, October.

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