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Co-optimization of state dependent loading and mission abort policy in heterogeneous warm standby systems

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  • Levitin, Gregory
  • Xing, Liudong
  • Dai, Yuanshun

Abstract

This paper models and optimizes a 1-out-of-N: G heterogeneous warm standby system subject to state-dependent component loading and mission abort policies. For circumstances where a system's survival may have a higher priority than continuing a specified mission due to cost or safety reasons, when a certain incident or malfunction condition is met based on a predefined decision rule, the mission objective is aborted and a rescue procedure is performed for system survival. The mission abort policy implemented can affect the system performance significantly. In addition, load levels of system components affect their performances (e.g., productivity) and time-to-failure distributions, and further affect the overall system performance. This paper makes new contributions by formulating and solving a co-optimization problem that finds the optimal combination of mission abort and component loading policies, maximizing the mission success probability while providing a desired level of system survivability. As demonstrated through examples, the co-optimization results can facilitate optimal decisions on effective and safe operations management of warm standby systems.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Co-optimization of state dependent loading and mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 151-158.
  • Handle: RePEc:eee:reensy:v:172:y:2018:i:c:p:151-158
    DOI: 10.1016/j.ress.2017.12.010
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    References listed on IDEAS

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    1. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Optimal component loading in 1-out-of-N cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 58-64.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2015. "Optimal loading of system with random repair time," European Journal of Operational Research, Elsevier, vol. 247(1), pages 137-143.
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    4. Zhang, Tieling & Xie, Min & Horigome, Michio, 2006. "Availability and reliability of k-out-of-(M+N):G warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 381-387.
    5. Papageorgiou, Effie & Kokolakis, George, 2010. "Reliability analysis of a two-unit general parallel system with (n-2) warm standbys," European Journal of Operational Research, Elsevier, vol. 201(3), pages 821-827, March.
    6. Zhao, Ruiqing & Liu, Baoding, 2004. "Redundancy optimization problems with uncertainty of combining randomness and fuzziness," European Journal of Operational Research, Elsevier, vol. 157(3), pages 716-735, September.
    7. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2016. "Optimal task partition and state-dependent loading in heterogeneous two-element work sharing system," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 97-108.
    8. Ola Tannous & Liudong Xing & Rui Peng & Min Xie, 2014. "Reliability of warm-standby systems subject to imperfect fault coverage," Journal of Risk and Reliability, , vol. 228(6), pages 606-620, December.
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2015. "Optimal backup frequency in system with random repair time," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 12-22.
    10. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Cold vs. hot standby mission operation cost minimization for 1-out-of-N systems," European Journal of Operational Research, Elsevier, vol. 234(1), pages 155-162.
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