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Optimal choice of standby modes in 1-out-of-N system with respect to mission reliability and cost

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

Abstract

This paper considers a new type of optimization problems, the optimal standby mode selection problem in 1-out-of-N: G warm standby systems where multiple standby mode choices are available to provide different levels of operation readiness of standby elements and further to achieve a balance between fast restoration and low operation cost. Given the desired redundancy level and a fixed set of standby mode choices, the objective of the optimal system design is to choose a standby mode for each of redundant elements so as to minimize expected mission cost of the system subject to a certain reliability constraint. An iterative procedure is first suggested to evaluate system reliability and expected mission cost simultaneously. Based on the suggested evaluation algorithm, a genetic algorithm is then used as an optimization tool for solving the formulated optimal standby mode selection problem in 1-out-of-N: G warm standby systems. Examples are given to illustrate the considered evaluation and optimization problems as well as the proposed solution methodology.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Peng, Sun & Dai, Yuanshun, 2015. "Optimal choice of standby modes in 1-out-of-N system with respect to mission reliability and cost," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 587-596.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:587-596
    DOI: 10.1016/j.amc.2015.02.046
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    References listed on IDEAS

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    1. Leung, Kit Nam Francis & Zhang, Yuan Lin & Lai, Kin Keung, 2011. "Analysis for a two-dissimilar-component cold standby repairable system with repair priority," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1542-1551.
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    7. 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.
    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2013. "Cold-standby sequencing optimization considering mission cost," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 28-34.
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    Cited by:

    1. Sedaghat, Niloofar & Ardakan, Mostafa Abouei, 2021. "G-mixed: A new strategy for redundant components in reliability optimization problems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
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