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Optimizing preventive replacement schedule in standby systems with time consuming task transfers

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  • Levitin, Gregory
  • Xing, Liudong
  • Xiang, Yanping

Abstract

In many industrial and technological systems, due to factors such as deterioration, corrosion, attacks, etc., preventive replacement is typically performed according to a predetermined schedule to renew the worn or aged online element using a standby element, enhancing the mission success probability. This paper models such a standby system with its mission time being divided into a certain number of mission parts (MPs). During different MPs, according to a pre-specified sequence, different system elements are activated to perform the mission operation. Upon completing each MP, following the preventive element replacement, a time-consuming transfer procedure must be conducted to start the new MP. The mission is successful when the last MP can be accomplished by an available system element. An event transition-based method is proposed to evaluate the mission success probability (MSP). The optimal preventive replacement scheduling problem is then solved, which finds the number of MPs and their durations maximizing the MSP. In the case of heterogeneous system elements, a combined optimization problem that finds the optimal element activation sequence and the optimal preventive replacement schedule to maximize the MSP is formulated and solved. Effects of several model parameters (the number of MPs, the number of system elements, task transfer time) are investigated through examples.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimizing preventive replacement schedule in standby systems with time consuming task transfers," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
  • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307274
    DOI: 10.1016/j.ress.2020.107227
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    References listed on IDEAS

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    1. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2021. "A Fast and Accurate Reliability Approximation Method for Heterogeneous Cold Standby Sparing Systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
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    3. Juan Eloy Ruiz-Castro, 2021. "Optimizing a Multi-State Cold-Standby System with Multiple Vacations in the Repair and Loss of Units," Mathematics, MDPI, vol. 9(8), pages 1-29, April.
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    5. 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).
    6. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    7. Sun, Qin & Li, Hongxu & Wang, Yuzhi & Zhang, Yingchao, 2022. "Multi-swarm-based cooperative reconfiguration model for resilient unmanned weapon system-of-systems," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Minimizing mission cost for production system with unreliable storage," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    10. Zhou, Yu & Kou, Gang & Guo, Zhen-Zhu & Xiao, Hui, 2023. "Availability analysis of shared bikes using abnormal trip data," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    11. Fan, Dongming & Sun, Bo & Dui, Hongyan & Zhong, Jilong & Wang, Ziyao & Ren, Yi & Wang, Zili, 2022. "A modified connectivity link addition strategy to improve the resilience of multiplex networks against attacks," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    12. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    13. 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).
    14. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Loading policy minimizing cumulative unsupplied demand of production system with storage," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
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    17. Chen, Liwei & Gao, Yansan & Dui, Hongyan & Xing, Liudong, 2021. "Importance measure-based maintenance optimization strategy for pod slewing system," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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