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Availability modeling and optimization of dynamic multi-state series–parallel systems with random reconfiguration

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  • Li, Y.F.
  • Peng, R.

Abstract

Most studies on multi-state series–parallel systems focus on the static type of system architecture. However, it is insufficient to model many complex industrial systems having several operation phases and each requires a subset of the subsystems combined together to perform certain tasks. To bridge this gap, this study takes into account this type of dynamic behavior in the multi-state series–parallel system and proposes an analytical approach to calculate the system availability and the operation cost. In this approach, Markov process is used to model the dynamics of system phase changing and component state changing, Markov reward model is used to calculate the operation cost associated with the dynamics, and universal generating function (UGF) is used to build system availability function from the system phase model and the component models. Based upon these models, an optimization problem is formulated to minimize the total system cost with the constraint that system availability is greater than a desired level. The genetic algorithm is then applied to solve the optimization problem. The proposed modeling and solution procedures are illustrated on a system design problem modified from a real-world maritime oil transportation system.

Suggested Citation

  • Li, Y.F. & Peng, R., 2014. "Availability modeling and optimization of dynamic multi-state series–parallel systems with random reconfiguration," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 47-57.
    • Handle: RePEc:eee:reensy:v:127:y:2014:i:c:p:47-57
    DOI: 10.1016/j.ress.2014.03.005
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    3. Zhang, Yue & Feng, Qiang & Fan, Dongming & Ren, Yi & Sun, Bo & Yang, Dezhen & Wang, Zili, 2023. "Optimization of maritime support network with relays under uncertainty: A novel matheuristics method," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
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    5. Yu, Huan & Yang, Jun & Peng, Rui & Zhao, Yu, 2016. "Reliability evaluation of linear multi-state consecutively-connected systems constrained by m consecutive and n total gaps," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 35-43.
    6. Ruiz-Castro, Juan Eloy, 2016. "Markov counting and reward processes for analysing the performance of a complex system subject to random inspections," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 155-168.
    7. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    8. Ling, Xiaoliang & Wei, Yinzhao & Si, Shubin, 2019. "Reliability optimization of k-out-of-n system with random selection of allocative components," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 186-193.
    9. Yu, Huan & Yang, Jun & Mo, Huadong, 2014. "Reliability analysis of repairable multi-state system with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 90-96.
    10. Shi, Yue & Zhu, Weihang & Xiang, Yisha & Feng, Qianmei, 2020. "Condition-based maintenance optimization for multi-component systems subject to a system reliability requirement," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
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    14. Fort, A. & Mugnaini, M. & Vignoli, V., 2015. "Hidden Markov Models approach used for life parameters estimations," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 85-91.

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