 Reliability modeling for linear and circular of Weighted-Consecutive-k Systems with shared componentsQinglai Dong, Le Hou and Hongda Gao Reliability Engineering and System Safety, 2025, vol. 262, issue C 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. Keywords: Linear system; Circular system; Weighted-consecutive-k system (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:262:y:2025:i:c:s0951832025003886 DOI: 10.1016/j.ress.2025.111187 Access Statistics for this article Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares More articles in Reliability Engineering and System Safety from Elsevier |
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