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Reliability modeling for linear and circular of Weighted-Consecutive-k Systems with shared components

Author

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  • Dong, Qinglai
  • Hou, Le
  • Gao, Hongda

Abstract

In most modern systems, the importance of all system components is different from each other, and we refer to this importance as weights. In weighted-consecutive-k system, each component has its own positive integer weight. The system will fail only when the total weight of successive failed components reaches k. We extend the weighted-consecutive-k system model by proposing weighted-consecutive-k systems having shared components between neighboring subsystems. We have demonstrated the formulas for determining the reliability of weighted-consecutive-k systems with various cases based on the state of the first and/or last component(s) using recursion. On this basis, the steps of reliability calculation for linear and circular structures sharing one component and linear structures sharing multiple components are given. Finally, give some examples and the influence of different choices of shared components and independent components and k on system reliability is studied.

Suggested Citation

  • Dong, Qinglai & Hou, Le & Gao, Hongda, 2025. "Reliability modeling for linear and circular of Weighted-Consecutive-k Systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    • Handle: RePEc:eee:reensy:v:262:y:2025:i:c:s0951832025003886
    DOI: 10.1016/j.ress.2025.111187
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