{"title":"具有个体确定性重审率的M/M/1型队列","authors":"Y. Shaki, M. Haviv, Uri Yechieli","doi":"10.1109/SMRLO.2016.111","DOIUrl":null,"url":null,"abstract":"Consider a system where customers arrive to a single-server queue according to a Poisson process with rate λ. The service times are independent and exponential distributed with rate μ. A customer who arrives when the server is busy is blocked and goes to orbit. Each orbit customer then every T units of time to re-enter the system. If he is blocked again, he will keep trying every T units of time. Balking is not allowed. In this paper, we consider retrial policy with deterministic T and we calculate the expected number of customers in orbit (without using balance equations).","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An M/M/1-Type Queue with an Individual Deterministic Retrial Rate\",\"authors\":\"Y. Shaki, M. Haviv, Uri Yechieli\",\"doi\":\"10.1109/SMRLO.2016.111\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consider a system where customers arrive to a single-server queue according to a Poisson process with rate λ. The service times are independent and exponential distributed with rate μ. A customer who arrives when the server is busy is blocked and goes to orbit. Each orbit customer then every T units of time to re-enter the system. If he is blocked again, he will keep trying every T units of time. Balking is not allowed. In this paper, we consider retrial policy with deterministic T and we calculate the expected number of customers in orbit (without using balance equations).\",\"PeriodicalId\":254910,\"journal\":{\"name\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"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.2016.111\",\"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.2016.111","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An M/M/1-Type Queue with an Individual Deterministic Retrial Rate
Consider a system where customers arrive to a single-server queue according to a Poisson process with rate λ. The service times are independent and exponential distributed with rate μ. A customer who arrives when the server is busy is blocked and goes to orbit. Each orbit customer then every T units of time to re-enter the system. If he is blocked again, he will keep trying every T units of time. Balking is not allowed. In this paper, we consider retrial policy with deterministic T and we calculate the expected number of customers in orbit (without using balance equations).
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