{"title":"二维平衡系统多阶段工作强度选择与维护策略的联合优化","authors":"Siqi Wang , Songqi Li , Xian Zhao , Congshan Wu","doi":"10.1016/j.ress.2025.111362","DOIUrl":null,"url":null,"abstract":"<div><div>Most existing research on balanced systems based on component state only considers the one-dimensional linear structure, but many engineering systems are two-dimensional. Driven by this reality, a two-dimensional balanced system reliability model is proposed. All components are arranged in a two-dimensional matrix, and divided into grids of equal size. The system is required to complete a task containing several phases. The system has several optional work intensities such that it can complete more tasks under a higher work intensity, but the failure rate also increases. When the maximum difference of component states in each grid is less than a predetermined threshold, the system is balanced. When the system is unbalanced, or the total number of failed components in a grid exceeds a limit, it fails. To complete more tasks and reduce the loss caused by system failure, a joint policy of work intensity selecting and maintenance is proposed. A Markov decision process is used to describe the system operation process. The optimal results are calculated by the value iteration algorithm. Finally, a two-dimensional manufacturing system is taken as an example to verify the effectiveness of the proposed joint strategy.</div></div>","PeriodicalId":54500,"journal":{"name":"Reliability Engineering & System Safety","volume":"264 ","pages":"Article 111362"},"PeriodicalIF":11.0000,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Joint optimization of multi-stage work intensity selecting and maintenance policy for a two-dimensional balanced system\",\"authors\":\"Siqi Wang , Songqi Li , Xian Zhao , Congshan Wu\",\"doi\":\"10.1016/j.ress.2025.111362\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Most existing research on balanced systems based on component state only considers the one-dimensional linear structure, but many engineering systems are two-dimensional. Driven by this reality, a two-dimensional balanced system reliability model is proposed. All components are arranged in a two-dimensional matrix, and divided into grids of equal size. The system is required to complete a task containing several phases. The system has several optional work intensities such that it can complete more tasks under a higher work intensity, but the failure rate also increases. When the maximum difference of component states in each grid is less than a predetermined threshold, the system is balanced. When the system is unbalanced, or the total number of failed components in a grid exceeds a limit, it fails. To complete more tasks and reduce the loss caused by system failure, a joint policy of work intensity selecting and maintenance is proposed. A Markov decision process is used to describe the system operation process. The optimal results are calculated by the value iteration algorithm. Finally, a two-dimensional manufacturing system is taken as an example to verify the effectiveness of the proposed joint strategy.</div></div>\",\"PeriodicalId\":54500,\"journal\":{\"name\":\"Reliability Engineering & System Safety\",\"volume\":\"264 \",\"pages\":\"Article 111362\"},\"PeriodicalIF\":11.0000,\"publicationDate\":\"2025-06-13\",\"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/S0951832025005630\",\"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/S0951832025005630","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}
Joint optimization of multi-stage work intensity selecting and maintenance policy for a two-dimensional balanced system
Most existing research on balanced systems based on component state only considers the one-dimensional linear structure, but many engineering systems are two-dimensional. Driven by this reality, a two-dimensional balanced system reliability model is proposed. All components are arranged in a two-dimensional matrix, and divided into grids of equal size. The system is required to complete a task containing several phases. The system has several optional work intensities such that it can complete more tasks under a higher work intensity, but the failure rate also increases. When the maximum difference of component states in each grid is less than a predetermined threshold, the system is balanced. When the system is unbalanced, or the total number of failed components in a grid exceeds a limit, it fails. To complete more tasks and reduce the loss caused by system failure, a joint policy of work intensity selecting and maintenance is proposed. A Markov decision process is used to describe the system operation process. The optimal results are calculated by the value iteration algorithm. Finally, a two-dimensional manufacturing system is taken as an example to verify the effectiveness of the proposed joint strategy.
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.