{"title":"Blocking probabilities of multi-layer multicast streams","authors":"J. Karvo, S. Aalto, J. Virtamo","doi":"10.1109/HPSR.2002.1024248","DOIUrl":null,"url":null,"abstract":"We present two new algorithms for calculating call blocking probabilities for multi-layer multicast streams with the assumption that blocked calls are lost. Users may join and leave the multicast connections freely, thus creating dynamic multicast trees. We define the state space, and give two recursive algorithms; for the general case and for the special case where all multicast channels are statistically indistinguishable. Our recursive algorithms are linear with respect to the number of links. The special case is also polynomial with respect to the number of channels.","PeriodicalId":180090,"journal":{"name":"Workshop on High Performance Switching and Routing, Merging Optical and IP Technologie","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2002-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Workshop on High Performance Switching and Routing, Merging Optical and IP Technologie","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HPSR.2002.1024248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
We present two new algorithms for calculating call blocking probabilities for multi-layer multicast streams with the assumption that blocked calls are lost. Users may join and leave the multicast connections freely, thus creating dynamic multicast trees. We define the state space, and give two recursive algorithms; for the general case and for the special case where all multicast channels are statistically indistinguishable. Our recursive algorithms are linear with respect to the number of links. The special case is also polynomial with respect to the number of channels.