{"title":"封闭和混合型排队系统作为可靠性和生存性的数学模型","authors":"R. Kakubava, A. Prangishvili, G. Sokhadze","doi":"10.1109/SMRLO.2016.15","DOIUrl":null,"url":null,"abstract":"The given paper deals with the redundancy and maintenance problem for a wide class of any territorially distributed standby systems consisting of unreliable repairable components. Mathematical models for interaction of degradation and its compensation processes in the said systems are proposed and their possible applications are partially analysed. These models represent closed and mixed type queuing systems for two parallel maintenance operations -- replacements and repairs. The problems for optimization of said system by economic criterion and the possible ways of its solution are discussed. Finally a closed one-line Semi-Markov priority queuing model is constructed and partly investigated.","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Closed and Mixed Type Queuing Systems as Mathematical Models of Reliability and Survivability\",\"authors\":\"R. Kakubava, A. Prangishvili, G. Sokhadze\",\"doi\":\"10.1109/SMRLO.2016.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The given paper deals with the redundancy and maintenance problem for a wide class of any territorially distributed standby systems consisting of unreliable repairable components. Mathematical models for interaction of degradation and its compensation processes in the said systems are proposed and their possible applications are partially analysed. These models represent closed and mixed type queuing systems for two parallel maintenance operations -- replacements and repairs. The problems for optimization of said system by economic criterion and the possible ways of its solution are discussed. Finally a closed one-line Semi-Markov priority queuing model is constructed and partly investigated.\",\"PeriodicalId\":254910,\"journal\":{\"name\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SMRLO.2016.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMRLO.2016.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Closed and Mixed Type Queuing Systems as Mathematical Models of Reliability and Survivability
The given paper deals with the redundancy and maintenance problem for a wide class of any territorially distributed standby systems consisting of unreliable repairable components. Mathematical models for interaction of degradation and its compensation processes in the said systems are proposed and their possible applications are partially analysed. These models represent closed and mixed type queuing systems for two parallel maintenance operations -- replacements and repairs. The problems for optimization of said system by economic criterion and the possible ways of its solution are discussed. Finally a closed one-line Semi-Markov priority queuing model is constructed and partly investigated.