{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T15:56:49Z","timestamp":1772467009635,"version":"3.50.1"},"reference-count":45,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2023RC29"],"award-info":[{"award-number":["2023RC29"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2023RC36"],"award-info":[{"award-number":["2023RC36"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72201039"],"award-info":[{"award-number":["72201039"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72371030"],"award-info":[{"award-number":["72371030"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72001026"],"award-info":[{"award-number":["72001026"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Reliability Engineering &amp; System Safety"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1016\/j.ress.2024.110056","type":"journal-article","created":{"date-parts":[[2024,3,5]],"date-time":"2024-03-05T08:12:37Z","timestamp":1709626357000},"page":"110056","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":17,"special_numbering":"C","title":["Reliability analysis for a generalized sparse connection multi-state consecutive-k-out-of-n linear system"],"prefix":"10.1016","volume":"246","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9707-9330","authenticated-orcid":false,"given":"Hongda","family":"Gao","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5683-5347","authenticated-orcid":false,"given":"Tengfei","family":"Tu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8741-0536","authenticated-orcid":false,"given":"Qingan","family":"Qiu","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.ress.2024.110056_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108629","article-title":"Optimizing the maximum filling level of perfect storage in system with imperfect production unit","volume":"225","author":"Levitin","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0002","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108557","article-title":"New binary-addition tree algorithm for the all-multiterminal binary-state network reliability problem","volume":"224","author":"Yeh","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0003","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109680","article-title":"Consecutively connected systems with unreliable resource generators and storages","volume":"241","author":"Levitin","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.109064","article-title":"An inspection-based replacement planning in consideration of state-driven imperfect inspections","volume":"232","author":"Wang","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108643","article-title":"Condition-based maintenance strategy for redundant systems with arbitrary structures using improved reinforcement learning","volume":"225","author":"Yang","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0006","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109187","article-title":"Designing warranty and maintenance policies for products subject to random working cycles","volume":"234","author":"Shang","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0007","series-title":"Multi-State System Reliability: Assessment, Optimization and Applications","author":"Lisnianski","year":"2003"},{"key":"10.1016\/j.ress.2024.110056_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109403","article-title":"Performance efficiency and cost analysis of multi-state systems with successive damage and maintenance in multiple shock events","volume":"238","author":"Dui","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108724","article-title":"Minimizing mission cost for production system with unreliable storage","volume":"227","author":"Levitin","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"issue":"6","key":"10.1016\/j.ress.2024.110056_bib0010","doi-asserted-by":"crossref","first-page":"1020","DOI":"10.1080\/00207721.2013.807383","article-title":"Assessment of spare reliability for multi-state computer networks within tolerable packet unreliability","volume":"46","author":"Lin","year":"2015","journal-title":"Int J Syst Sci"},{"key":"10.1016\/j.ress.2024.110056_bib0011","article-title":"Similarity based remaining useful life prediction based on Gaussian Process with active learning","volume":"19","author":"Lin","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0012","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1016\/j.proeng.2011.12.756","article-title":"Multi-state system reliability: a new and systematic review","volume":"29","author":"Gu","year":"2012","journal-title":"Procedia Eng"},{"key":"10.1016\/j.ress.2024.110056_bib0013","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.109005","article-title":"System design optimization with mixed subsystems failure dependencies","volume":"231","author":"Mellal","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0014","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108977","article-title":"Scheduling heterogeneous repair channels in selective maintenance of multi-state systems with maintenance duration uncertainty","volume":"231","author":"Yin","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109330","article-title":"Integrated selective maintenance and task assignment optimization for multi-state systems executing multiple missions","volume":"237","author":"Ma","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"issue":"9","key":"10.1016\/j.ress.2024.110056_bib0016","first-page":"911","article-title":"Reliability performance for dynamic multi-state repairable systems with K regimes","volume":"49","author":"Shen","year":"2017","journal-title":"IIE Trans"},{"key":"10.1016\/j.ress.2024.110056_bib0017","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.cie.2014.03.014","article-title":"Optimal allocation and maintenance of multi-state elements in series\u2013parallel systems with common bus performance sharing","volume":"72","author":"Xiao","year":"2014","journal-title":"Comput Ind Eng"},{"issue":"4","key":"10.1016\/j.ress.2024.110056_bib0018","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1016\/j.cie.2010.07.013","article-title":"Analysis of maintenance policies for finite life-cycle multi-state systems","volume":"59","author":"Wu","year":"2010","journal-title":"Comput Ind Eng"},{"issue":"1","key":"10.1016\/j.ress.2024.110056_bib0019","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1080\/00207721.2016.1157222","article-title":"Reliability assessment of a multistate freight network for perishable merchandise with multiple suppliers and buyers","volume":"48","author":"Lin","year":"2017","journal-title":"Int J Syst Sci"},{"key":"10.1016\/j.ress.2024.110056_bib0020","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.cie.2013.11.016","article-title":"A PSO algorithm for constrained redundancy allocation in multi-state systems with bridge topology","volume":"68","author":"Wang","year":"2014","journal-title":"Comput Ind Eng"},{"issue":"6","key":"10.1016\/j.ress.2024.110056_bib0021","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1109\/TSMC.2013.2277692","article-title":"MDD-based method for efficient analysis on phased-mission systems with multimode failures","volume":"44","author":"Mo","year":"2014","journal-title":"IEEE Trans Syst, Man, Cybern: Syst"},{"issue":"5","key":"10.1016\/j.ress.2024.110056_bib0022","doi-asserted-by":"crossref","DOI":"10.1109\/TR.1980.5220921","article-title":"Reliability determination of a r-successive-out-of-n: f system","volume":"29","author":"Kontoleon","year":"1980","journal-title":"IEEE Trans Reliab"},{"issue":"1","key":"10.1016\/j.ress.2024.110056_bib0023","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1109\/TR.1981.5220981","article-title":"Reliability of consecutive-k-out-of-n: f system","volume":"30","author":"Chiang","year":"1981","journal-title":"IEEE Trans Reliab"},{"issue":"6","key":"10.1016\/j.ress.2024.110056_bib0024","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1080\/07408170304418","article-title":"Multi-state consecutive-k-out-of-n systems","volume":"35","author":"Huang","year":"2003","journal-title":"IIE Trans"},{"issue":"2","key":"10.1016\/j.ress.2024.110056_bib0025","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/0026-2714(93)90485-H","article-title":"Reliability and component importance of a consecutive-k-out-of-n system","volume":"33","author":"Zuo","year":"1993","journal-title":"Microelectr Reliab"},{"key":"10.1016\/j.ress.2024.110056_bib0026","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.cie.2017.02.011","article-title":"Efficient algorithm for reliability and importance measures of linear weighted-(n, f, k) and< n, f, k>systems","volume":"107","author":"Amrutkar","year":"2017","journal-title":"Comput Ind Eng"},{"issue":"5","key":"10.1016\/j.ress.2024.110056_bib0027","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1080\/00207720500062470","article-title":"On a generalized k-out-of-n system and its reliability","volume":"36","author":"Cui","year":"2005","journal-title":"Int J Syst Sci"},{"issue":"3","key":"10.1016\/j.ress.2024.110056_bib0028","first-page":"225","article-title":"Review of recent advances in reliability of consecutive k-out-of-n and related systems","volume":"224","author":"Eryilmaz","year":"2010","journal-title":"Proc Inst Mech Eng, Part O: J Risk Reliab"},{"key":"10.1016\/j.ress.2024.110056_bib0029","series-title":"Reliabilities of consecutive-k systems","author":"Chang","year":"2000"},{"key":"10.1016\/j.ress.2024.110056_bib0030","series-title":"Optimal reliability modeling: principles and applications","author":"Kuo","year":"2003"},{"key":"10.1016\/j.ress.2024.110056_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.108172","article-title":"Reliability modelling for linear and circular k-out-of-n: f systems with shared components","volume":"219","author":"Yin","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0032","first-page":"1748006","article-title":"Mission abort strategy for generalized k-out-of-n: f systems considering competing failure criteria","author":"Cao","year":"2023","journal-title":"Proc Inst Mech Eng, Part O: J Risk Reliab"},{"key":"10.1016\/j.ress.2024.110056_bib0033","first-page":"1","article-title":"Time-dependent reliability analysis for repairable consecutive-k-out-of-n:f system","author":"G\u00f6kdere","year":"2021","journal-title":"Stat Theory Relat Fields"},{"key":"10.1016\/j.ress.2024.110056_bib0034","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.107957","article-title":"Reliability modeling for repairable circular consecutive-k-out-of-n:f systems with retrial feature","volume":"216","author":"Li","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.107994","article-title":"Reliability optimization of linear consecutive-k-out-of-n: f systems driven by reconfigurable importance","volume":"216","author":"Wang","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2024.110056_bib0036","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2022.108657","article-title":"Optimal maintenance policies for linear consecutive k-out-of-n:f systems susceptible to dependent failures","volume":"173","author":"Rezaei","year":"2022","journal-title":"Comput Ind Eng"},{"key":"10.1016\/j.ress.2024.110056_bib0037","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2019.106572","article-title":"Availability analysis of k-out-of-n: f repairable balanced systems with m sectors","volume":"191","author":"Gao","year":"2019","journal-title":"Reliab Eng Syst Saf"},{"issue":"5","key":"10.1016\/j.ress.2024.110056_bib0038","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1080\/24725854.2017.1397856","article-title":"Reliability for k-out-of-n: f balanced systems with m sectors","volume":"50","author":"Cui","year":"2018","journal-title":"IISE Trans"},{"key":"10.1016\/j.ress.2024.110056_bib0039","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2020.107252","article-title":"Balanced systems by considering multi-state competing risks under degradation processes","volume":"205","author":"Fang","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"10.1016\/j.ress.2024.110056_bib0040","doi-asserted-by":"crossref","first-page":"1844","DOI":"10.1109\/TSMC.2019.2906550","article-title":"Reliability modeling for sparsely connected homogeneous multistate consecutive-k-out-of-n: g Systems","volume":"51","author":"Gao","year":"2021","journal-title":"IEEE Trans Syst, Man, Cybern: Syst"},{"issue":"5","key":"10.1016\/j.ress.2024.110056_bib0041","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1109\/TR.1986.4335561","article-title":"Reliability of consecutive-k-out-of-n: f systems with (k-1)-step Markov dependence","volume":"35","author":"Fu","year":"1986","journal-title":"IEEE Trans Reliab"},{"issue":"427","key":"10.1016\/j.ress.2024.110056_bib0042","doi-asserted-by":"crossref","first-page":"1050","DOI":"10.1080\/01621459.1994.10476841","article-title":"Distribution theory of runs: a Markov chain approach","volume":"89","author":"Fu","year":"1994","journal-title":"J Am Stat Assoc"},{"issue":"3","key":"10.1016\/j.ress.2024.110056_bib0043","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/S0167-7152(98)00263-6","article-title":"Reliabilities for (n, f, k) systems","volume":"43","author":"Chang","year":"1999","journal-title":"Stat Probab Lett"},{"key":"10.1016\/j.ress.2024.110056_bib0044","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.107429","article-title":"Computation of survival signatures for multi-state consecutive-k systems","volume":"208","author":"Yi","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"issue":"1","key":"10.1016\/j.ress.2024.110056_bib0045","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1109\/24.855543","article-title":"Generalized multi-state k-out-of-n: g systems","volume":"49","author":"Huang","year":"2000","journal-title":"IEEE Trans Reliab"}],"container-title":["Reliability Engineering &amp; System Safety"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832024001303?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832024001303?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,9]],"date-time":"2024-12-09T07:43:17Z","timestamp":1733730197000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0951832024001303"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6]]},"references-count":45,"alternative-id":["S0951832024001303"],"URL":"https:\/\/doi.org\/10.1016\/j.ress.2024.110056","relation":{},"ISSN":["0951-8320"],"issn-type":[{"value":"0951-8320","type":"print"}],"subject":[],"published":{"date-parts":[[2024,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Reliability analysis for a generalized sparse connection multi-state consecutive-k-out-of-n linear system","name":"articletitle","label":"Article Title"},{"value":"Reliability Engineering & System Safety","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ress.2024.110056","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2024 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"110056"}}