{"title":"Discrete time open queueing networks with feedback, bulk arrivals and services","authors":"C. Vu Duy","doi":"10.1109/MASCOT.1994.284384","DOIUrl":null,"url":null,"abstract":"An open queueing network system of N nodes with Geo(A/sub i/) input and Geo(S/sub i/) service at every node is studied. Geo(A/sub i/) and Geo(S/sub i/) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(A/sub i/)/Geo(S/sub i/)/1. Then the author looks for a configuration of the network which is product form solution compatible. Lastly, the necessary and sufficient condition for an open Markovian queueing network of N nodes to have a solution of product form is proved. A certain number of open Markovian queueing networks which have a solution of product form are found.<<ETX>>","PeriodicalId":288344,"journal":{"name":"Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MASCOT.1994.284384","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
An open queueing network system of N nodes with Geo(A/sub i/) input and Geo(S/sub i/) service at every node is studied. Geo(A/sub i/) and Geo(S/sub i/) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(A/sub i/)/Geo(S/sub i/)/1. Then the author looks for a configuration of the network which is product form solution compatible. Lastly, the necessary and sufficient condition for an open Markovian queueing network of N nodes to have a solution of product form is proved. A certain number of open Markovian queueing networks which have a solution of product form are found.<>
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