{"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}
引用次数: 0
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).
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