{"title":"用幂级数算法分析多服务器轮询系统","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":"{\"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}","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}
Analysis of multiple-server polling systems by means of the power-series algorithm
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