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Defensive strategy optimization of consecutive-k-out-of-n systems under deterministic external risks
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Xi’an University of Science and Technology, Department of Intelligence Manufacturing, School of Mechanical Engineering, No. 58 Yanta Road, Beilin District, Xi’an Shaanxi, 710054, China
Northwestern Polytechnical University, Department of Industrial Engineering, School of Mechanical Engineering, No. 127 West Youyi Road, Beilin District, Xi’an Shaanxi, 710072, P.R.China
Publication date: 2022-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2022;24(2):306–316
  • A defensive capability based on real-time reliability is developed for Con/k/n systems.
  • Defensive importance measure is constructed to optimize component redundancy locally.
  • The effectiveness of DIMGA is verified by comparing it with CGA under 36 scenarios.
  • Con/k/5 systems’ redundancy distribution rule under spacing/continuous risk is analyzed.
Consecutive-k-out-of-n (Con/k/n) system, a reconfigurable system, can improve the system performance by adjusting the redundancy and assignment of components. This paper aims to determine the optimal defensive strategy of Con/k/n systems under external risks. The defensive capability of Con/k/n systems is evaluated based on real-time system reliability, and a defensive importance measure (DIM) is constructed to optimize components’ redundancy locally. To solve the proposed optimization model effectively, a DIM-based genetic algorithm (DIGA) is developed by integrating the advantages of DIM’s local search with the global search ability of the classical genetic algorithm (CGA). The numerical experiment under 36 scenarios illustrates that DIGA is more effective than CGA verified by average defensive capability, robustness, and convergence generations. Moreover, the redundancy distribution analysis of Con/k/5 systems in the optimal defensive strategy shows that the redundancy of F(G) systems is in a spaced (continuous) way under spacing k-1 risk or continuous k risk.
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