{"title":"离散时间自回归排队系统的性能分析","authors":"D. Fiems, D. Claeys, H. Bruneel","doi":"10.1109/ICCW.2008.49","DOIUrl":null,"url":null,"abstract":"We consider a discrete-time single server queueing system with an autoregressive arrival process. Arrivals stem from two discrete autoregressive arrival processes of order 1. This aggregated arrival process combines analytical tractability with the ability to capture both short- and long-term correlation. Closed-form expressions for the mean and variance of the queue content and packet delay are obtained. We illustrate our approach by means of some numerical examples.","PeriodicalId":360127,"journal":{"name":"ICC Workshops - 2008 IEEE International Conference on Communications Workshops","volume":"s3-32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Performance Analysis of Discrete-Time Autoregressive Queueing Systems\",\"authors\":\"D. Fiems, D. Claeys, H. Bruneel\",\"doi\":\"10.1109/ICCW.2008.49\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a discrete-time single server queueing system with an autoregressive arrival process. Arrivals stem from two discrete autoregressive arrival processes of order 1. This aggregated arrival process combines analytical tractability with the ability to capture both short- and long-term correlation. Closed-form expressions for the mean and variance of the queue content and packet delay are obtained. We illustrate our approach by means of some numerical examples.\",\"PeriodicalId\":360127,\"journal\":{\"name\":\"ICC Workshops - 2008 IEEE International Conference on Communications Workshops\",\"volume\":\"s3-32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ICC Workshops - 2008 IEEE International Conference on Communications Workshops\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCW.2008.49\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICC Workshops - 2008 IEEE International Conference on Communications Workshops","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCW.2008.49","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Performance Analysis of Discrete-Time Autoregressive Queueing Systems
We consider a discrete-time single server queueing system with an autoregressive arrival process. Arrivals stem from two discrete autoregressive arrival processes of order 1. This aggregated arrival process combines analytical tractability with the ability to capture both short- and long-term correlation. Closed-form expressions for the mean and variance of the queue content and packet delay are obtained. We illustrate our approach by means of some numerical examples.
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