{"title":"具有不可靠服务器、多个休假、过载和备用服务器的批量服务队列分析","authors":"G. Ayyappan, S. Karpagam","doi":"10.1504/ijmor.2020.10028387","DOIUrl":null,"url":null,"abstract":"We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server\",\"authors\":\"G. Ayyappan, S. Karpagam\",\"doi\":\"10.1504/ijmor.2020.10028387\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.\",\"PeriodicalId\":306451,\"journal\":{\"name\":\"Int. J. Math. Oper. Res.\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Math. Oper. Res.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijmor.2020.10028387\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijmor.2020.10028387","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server
We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.
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