{"title":"Regeneration estimation in partially stable two class retrial queue","authors":"R. Nekrasova","doi":"10.33039/ami.2022.12.008","DOIUrl":null,"url":null,"abstract":". We consider two-class retrial queueing system with constant retrial rate fed by Poisson input and apply regenerative confidence estimation for mean number of customers in the stable orbit, while the other orbit in-timately grows. The simulation results illustrate that partially stable case providing accurate confidence estimation, even the stability conditions, related for the whole system, are violated","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":"34 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/ami.2022.12.008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. We consider two-class retrial queueing system with constant retrial rate fed by Poisson input and apply regenerative confidence estimation for mean number of customers in the stable orbit, while the other orbit in-timately grows. The simulation results illustrate that partially stable case providing accurate confidence estimation, even the stability conditions, related for the whole system, are violated