{"title":"非相干多态系统的重要性分析","authors":"Elena Zaitseva, Peter Sedlacek, Vitaly Levashenko","doi":"10.1016/j.ress.2025.111618","DOIUrl":null,"url":null,"abstract":"<div><div>Non-coherent Multi-State System (MSS) is a special case in the point of view of reliability analysis and needs special methods for its reliability quantification. The specificity of this system behavior is a possibility of its performance degradation depending on the improvement of the functioning of its component, or its performance improving depending on the component work degradation/failure. Non-coherent system, mostly investigated for Binary-State System (BSS) where the system and its components have only two performance levels as functioning and failure. The case of MSS where the system and its components can have more than only two performance levels is studied fragmentarily. In this paper, a new method for importance analysis of non-coherent MSS is proposed. This method is based on the use of Logical Differential Calculus for the definition and calculation of Importance Measures (IM). In particular, the Structural Importance and Birnbaum’s Importance measures are defined and considered for a non-coherent MSS. These measures allow us to investigate the influence each of the system components has on its behavior, taking into consideration the specifics of a non-coherent MSS.</div></div>","PeriodicalId":54500,"journal":{"name":"Reliability Engineering & System Safety","volume":"266 ","pages":"Article 111618"},"PeriodicalIF":11.0000,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Importance analysis of non-coherent Multi-State System\",\"authors\":\"Elena Zaitseva, Peter Sedlacek, Vitaly Levashenko\",\"doi\":\"10.1016/j.ress.2025.111618\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Non-coherent Multi-State System (MSS) is a special case in the point of view of reliability analysis and needs special methods for its reliability quantification. The specificity of this system behavior is a possibility of its performance degradation depending on the improvement of the functioning of its component, or its performance improving depending on the component work degradation/failure. Non-coherent system, mostly investigated for Binary-State System (BSS) where the system and its components have only two performance levels as functioning and failure. The case of MSS where the system and its components can have more than only two performance levels is studied fragmentarily. In this paper, a new method for importance analysis of non-coherent MSS is proposed. This method is based on the use of Logical Differential Calculus for the definition and calculation of Importance Measures (IM). In particular, the Structural Importance and Birnbaum’s Importance measures are defined and considered for a non-coherent MSS. These measures allow us to investigate the influence each of the system components has on its behavior, taking into consideration the specifics of a non-coherent MSS.</div></div>\",\"PeriodicalId\":54500,\"journal\":{\"name\":\"Reliability Engineering & System Safety\",\"volume\":\"266 \",\"pages\":\"Article 111618\"},\"PeriodicalIF\":11.0000,\"publicationDate\":\"2025-09-10\",\"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/S095183202500818X\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reliability Engineering & System Safety","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S095183202500818X","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}
Importance analysis of non-coherent Multi-State System
Non-coherent Multi-State System (MSS) is a special case in the point of view of reliability analysis and needs special methods for its reliability quantification. The specificity of this system behavior is a possibility of its performance degradation depending on the improvement of the functioning of its component, or its performance improving depending on the component work degradation/failure. Non-coherent system, mostly investigated for Binary-State System (BSS) where the system and its components have only two performance levels as functioning and failure. The case of MSS where the system and its components can have more than only two performance levels is studied fragmentarily. In this paper, a new method for importance analysis of non-coherent MSS is proposed. This method is based on the use of Logical Differential Calculus for the definition and calculation of Importance Measures (IM). In particular, the Structural Importance and Birnbaum’s Importance measures are defined and considered for a non-coherent MSS. These measures allow us to investigate the influence each of the system components has on its behavior, taking into consideration the specifics of a non-coherent MSS.
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.