{"title":"Analysis of multiple-server polling systems by means of the power-series algorithm","authors":"R. Mei, S. Borst","doi":"10.1080/15326349708807430","DOIUrl":null,"url":null,"abstract":"We consider a polling model with multiple servers, each of which visits the queues according to its own service order table. In general, such a model is not tractable by means of analytical techniques. In this paper, we show how the model can be analyzed by the power-series algorithm (PSA), a tool for the numerical evaluation and optimization of the performance of a broad class of multi-queue models. Various numerical experiments with the PSA are performed, providing new insights into the behavior of multiple-server polling systems","PeriodicalId":118819,"journal":{"name":"Report Department of Operations Research Statistics and System Theory","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Report Department of Operations Research Statistics and System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/15326349708807430","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
Abstract
We consider a polling model with multiple servers, each of which visits the queues according to its own service order table. In general, such a model is not tractable by means of analytical techniques. In this paper, we show how the model can be analyzed by the power-series algorithm (PSA), a tool for the numerical evaluation and optimization of the performance of a broad class of multi-queue models. Various numerical experiments with the PSA are performed, providing new insights into the behavior of multiple-server polling systems