{"title":"一类特殊的二维反射随机漫步的QBD近似的简单误差界","authors":"H. Masuyama, Y. Sakuma, Masahiro Kobayashi","doi":"10.1145/3016032.3016048","DOIUrl":null,"url":null,"abstract":"This paper considers the QBD approximation of a special class of two-dimensional reflecting random walks (2D-RRWs). A typical example of the 2D-RRWs is a two-node Jackson network with cooperative servers. The main contribution of this paper is to provide simple upper bounds for the relative absolute difference between the time-averaged functionals of the original 2D-RRW and its QBD approximation.","PeriodicalId":269685,"journal":{"name":"Proceedings of the 11th International Conference on Queueing Theory and Network Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks\",\"authors\":\"H. Masuyama, Y. Sakuma, Masahiro Kobayashi\",\"doi\":\"10.1145/3016032.3016048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the QBD approximation of a special class of two-dimensional reflecting random walks (2D-RRWs). A typical example of the 2D-RRWs is a two-node Jackson network with cooperative servers. The main contribution of this paper is to provide simple upper bounds for the relative absolute difference between the time-averaged functionals of the original 2D-RRW and its QBD approximation.\",\"PeriodicalId\":269685,\"journal\":{\"name\":\"Proceedings of the 11th International Conference on Queueing Theory and Network Applications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 11th International Conference on Queueing Theory and Network Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3016032.3016048\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 11th International Conference on Queueing Theory and Network Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3016032.3016048","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks
This paper considers the QBD approximation of a special class of two-dimensional reflecting random walks (2D-RRWs). A typical example of the 2D-RRWs is a two-node Jackson network with cooperative servers. The main contribution of this paper is to provide simple upper bounds for the relative absolute difference between the time-averaged functionals of the original 2D-RRW and its QBD approximation.
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