{"title":"的对数渐近性","authors":"Y. Tai, Qiming He","doi":"10.3138/infor.51.3.92","DOIUrl":null,"url":null,"abstract":"We study tail asymptotics of the stationary distribution for the GI=G=1-type Markov chain with finitely many background states. Decay rate in the logarithmic sense is identified under a number of conditions on the transition probabilities. The results are applied to the BMAP=G=1queuewithvacations.Therelationshipbetweenvacationtimeandthedecayrate of the queue length distribution is investigated.","PeriodicalId":421162,"journal":{"name":"INFOR Inf. Syst. Oper. Res.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Logarithmic Asymptotics for the\",\"authors\":\"Y. Tai, Qiming He\",\"doi\":\"10.3138/infor.51.3.92\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study tail asymptotics of the stationary distribution for the GI=G=1-type Markov chain with finitely many background states. Decay rate in the logarithmic sense is identified under a number of conditions on the transition probabilities. The results are applied to the BMAP=G=1queuewithvacations.Therelationshipbetweenvacationtimeandthedecayrate of the queue length distribution is investigated.\",\"PeriodicalId\":421162,\"journal\":{\"name\":\"INFOR Inf. Syst. Oper. Res.\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"INFOR Inf. Syst. Oper. Res.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3138/infor.51.3.92\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"INFOR Inf. Syst. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3138/infor.51.3.92","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study tail asymptotics of the stationary distribution for the GI=G=1-type Markov chain with finitely many background states. Decay rate in the logarithmic sense is identified under a number of conditions on the transition probabilities. The results are applied to the BMAP=G=1queuewithvacations.Therelationshipbetweenvacationtimeandthedecayrate of the queue length distribution is investigated.
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