{"title":"An approximation for performance evaluation of stationary single server queues","authors":"R. Addie, M. Zukerman","doi":"10.1109/INFCOM.1993.253285","DOIUrl":null,"url":null,"abstract":"A method for approximating the probability distributions of stationary statistics in first-in, first-out (FIFO) single server queues is provided. The method is based on the Wiener-Hopf factorization technique and is applied to semi-Markov queues with the underlying state space of unlimited size. A particularly important case is a model for a statistical multiplexer where the net input process forms a stationary ergodic Gaussian discrete-time stochastic process.<<ETX>>","PeriodicalId":166966,"journal":{"name":"IEEE INFOCOM '93 The Conference on Computer Communications, Proceedings","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"80","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE INFOCOM '93 The Conference on Computer Communications, Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INFCOM.1993.253285","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 80
Abstract
A method for approximating the probability distributions of stationary statistics in first-in, first-out (FIFO) single server queues is provided. The method is based on the Wiener-Hopf factorization technique and is applied to semi-Markov queues with the underlying state space of unlimited size. A particularly important case is a model for a statistical multiplexer where the net input process forms a stationary ergodic Gaussian discrete-time stochastic process.<>
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