{"title":"Reliability modeling for linear and circular of Weighted-Consecutive-k Systems with shared components","authors":"Qinglai Dong , Le Hou , Hongda Gao","doi":"10.1016/j.ress.2025.111187","DOIUrl":null,"url":null,"abstract":"<div><div>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-<span><math><mi>k</mi></math></span> system, each component has its own positive integer weight. The system will fail only when the total weight of successive failed components reaches <span><math><mi>k</mi></math></span>. We extend the weighted-consecutive-<span><math><mi>k</mi></math></span> system model by proposing weighted-consecutive-<span><math><mi>k</mi></math></span> systems having shared components between neighboring subsystems. We have demonstrated the formulas for determining the reliability of weighted-consecutive-<span><math><mi>k</mi></math></span> 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 <span><math><mi>k</mi></math></span> on system reliability is studied.</div></div>","PeriodicalId":54500,"journal":{"name":"Reliability Engineering & System Safety","volume":"262 ","pages":"Article 111187"},"PeriodicalIF":9.4000,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reliability Engineering & System Safety","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0951832025003886","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, INDUSTRIAL","Score":null,"Total":0}
引用次数: 0
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- system, each component has its own positive integer weight. The system will fail only when the total weight of successive failed components reaches . We extend the weighted-consecutive- system model by proposing weighted-consecutive- systems having shared components between neighboring subsystems. We have demonstrated the formulas for determining the reliability of weighted-consecutive- 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 on system reliability is studied.
期刊介绍:
Elsevier publishes Reliability Engineering & System Safety in association with the European Safety and Reliability Association and the Safety Engineering and Risk Analysis Division. The international journal is devoted to developing and applying methods to enhance the safety and reliability of complex technological systems, like nuclear power plants, chemical plants, hazardous waste facilities, space systems, offshore and maritime systems, transportation systems, constructed infrastructure, and manufacturing plants. The journal normally publishes only articles that involve the analysis of substantive problems related to the reliability of complex systems or present techniques and/or theoretical results that have a discernable relationship to the solution of such problems. An important aim is to balance academic material and practical applications.