Konstantin Avrachenkov, N. O. Vilchevsky, G. Shevlyakov
{"title":"Priority queueing with finite buffer size and randomized push-out mechanism","authors":"Konstantin Avrachenkov, N. O. Vilchevsky, G. Shevlyakov","doi":"10.1145/781027.781079","DOIUrl":null,"url":null,"abstract":"The non-preemptive priority queueing with a flnite bufier is considered. We introduce a randomized push-out bufier management mechanism which allows to control very e‐ciently the loss probability of priority packets. The packet loss probabilities for priority and non-priority tra‐c are calculated using the generating function approach. In the particular case of the standard non-randomized push-out scheme we obtain explicit analytic expressions. The theoretical results are illustrated by numerical examples. The randomized push-out scheme is compared with the threshold based push-out scheme. It turns out that the former is much easier to tune than the latter. The proposed scheme can be applied to the Difierentiated Services of the Internet.","PeriodicalId":19766,"journal":{"name":"Perform. Evaluation","volume":"147 1","pages":"1-16"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"54","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Perform. Evaluation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/781027.781079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 54
Abstract
The non-preemptive priority queueing with a flnite bufier is considered. We introduce a randomized push-out bufier management mechanism which allows to control very e‐ciently the loss probability of priority packets. The packet loss probabilities for priority and non-priority tra‐c are calculated using the generating function approach. In the particular case of the standard non-randomized push-out scheme we obtain explicit analytic expressions. The theoretical results are illustrated by numerical examples. The randomized push-out scheme is compared with the threshold based push-out scheme. It turns out that the former is much easier to tune than the latter. The proposed scheme can be applied to the Difierentiated Services of the Internet.