{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:27:45Z","timestamp":1759336065309,"version":"build-2065373602"},"reference-count":18,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T00:00:00Z","timestamp":1750204800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality &amp; Reliability Eng"],"published-print":{"date-parts":[[2025,11]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>In the early stages of system design, due to the lack of detailed information, unconstrained methods are often adopted. Among these, the weighted factor allocation method is a common approach. However, this method is mainly suitable for series systems. Although some extended methods allow its application to more complex series\u2010parallel systems, these methods are often influenced by subjective scoring. To address this issue, we propose a system reliability allocation method based on fault tree models and optimization methods. This approach constructs a fault tree model considering the impact of common cause failures and establishes an objective function between system reliability and the reliability to be allocated. Through optimization algorithms, the minimum value of the objective function is found, and the optimal solution of this objective function is the allocation result of the reliability target. This method can be implemented in the early stages of system development and does not rely on expert experience. We demonstrate the effectiveness of this allocation method through a case study.<\/jats:p>","DOI":"10.1002\/qre.70009","type":"journal-article","created":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T15:04:04Z","timestamp":1750259044000},"page":"3048-3053","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Reliability Allocation Method Based on Fault Tree and Optimization Method"],"prefix":"10.1002","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-8991-7115","authenticated-orcid":false,"given":"Zhifeng","family":"Li","sequence":"first","affiliation":[{"name":"State Key Laboratory of Nuclear Power Safety Technology and Equipment China Nuclear Power Engineering Co., Ltd.  Shenzhen Guangdong China"},{"name":"School of Reliability and Systems Engineering Beihang University  Beijing China"}]},{"given":"Bing","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Nuclear Power Safety Technology and Equipment China Nuclear Power Engineering Co., Ltd.  Shenzhen Guangdong China"}]},{"given":"Ming","family":"Wang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Nuclear Power Safety Technology and Equipment China Nuclear Power Engineering Co., Ltd.  Shenzhen Guangdong China"}]},{"given":"Bo","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering Beihang University  Beijing China"}]}],"member":"311","published-online":{"date-parts":[[2025,6,18]]},"reference":[{"volume-title":"Reliability of Military Electronic Equipment: Report","year":"1957","key":"e_1_2_8_2_1"},{"volume-title":"Reliability Engineering. Prentice\u2010Hall","year":"1964","author":"Alven W.","key":"e_1_2_8_3_1"},{"volume-title":"MIL\u2010HDBK\u2010338 Electronic reliability design handbook","year":"1988","author":"U.S. Department of Defense","key":"e_1_2_8_4_1"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2009.06.007"},{"issue":"3","key":"e_1_2_8_6_1","first-page":"681","article-title":"System Reliability Allocation Based on Bayesian Network","volume":"6","author":"Qian W.","year":"2012","journal-title":"Applied Mathematics & Information Sciences"},{"key":"e_1_2_8_7_1","doi-asserted-by":"crossref","unstructured":"Z.Ma Y.Ren L.Liu andZ.Wang \u201cA Reliability Allocation Method Based on Bayesian Networks \u201d2015 Prognostics and System Health Management Conference (PHM).Beijing(2015) 1\u20138 https:\/\/doi.org\/10.1109\/PHM.2015.7380063.","DOI":"10.1109\/PHM.2015.7380063"},{"key":"e_1_2_8_8_1","doi-asserted-by":"crossref","unstructured":"Z.Ma Y.Ren L.Liu andZ.Wang \u201cA Reliability Allocation Method Based on Bayesian Networks and Analytic Hierarchy Process \u201d2015 IEEM(2015) 83\u201387.","DOI":"10.1109\/IEEM.2015.7385613"},{"issue":"2","key":"e_1_2_8_9_1","first-page":"169","article-title":"Reliability Analysis of Multi\u2010State System With Common Cause Failure Based on bayesian Networks","volume":"15","author":"Mi J.","year":"2013","journal-title":"Eksploatacja i Niezawodnosc\u2014Maintenance and Reliability"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2019.2935633"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2591"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2713"},{"issue":"3","key":"e_1_2_8_13_1","first-page":"255","article-title":"Common Cause Failure Model of System Reliability Based on Bayesian Networks","volume":"6","author":"Yin X.","year":"2010","journal-title":"International Journal of Performability Engineering"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1177\/1687814017728853"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0951-8320(00)00077-6"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/0951\u20108320(93)90060\u2010C"},{"key":"e_1_2_8_17_1","doi-asserted-by":"crossref","unstructured":"J. R.Belland \u201cModeling Common Cause Failures in Diverse Components With Fault Tree Applications \u201d2017 Annual Reliability and Maintainability Symposium (RAMS).Orlando FL USA(2017) 1\u20136 https:\/\/doi.org\/10.1109\/RAM.2017.7889659.","DOI":"10.1109\/RAM.2017.7889659"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2021.108028"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41592\u2010019\u20100686\u20102"}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.70009","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T08:53:46Z","timestamp":1759308826000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.70009"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,18]]},"references-count":18,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2025,11]]}},"alternative-id":["10.1002\/qre.70009"],"URL":"https:\/\/doi.org\/10.1002\/qre.70009","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"type":"print","value":"0748-8017"},{"type":"electronic","value":"1099-1638"}],"subject":[],"published":{"date-parts":[[2025,6,18]]},"assertion":[{"value":"2025-03-24","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-13","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-18","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}