修改状态依赖服务率的mmpp / g /1/ k队列分析

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2014-12-25 DOI:10.12941/JKSIAM.2014.18.295

D. Choi, Bo-keun Kim, Dae-Eun Lim

{"title":"修改状态依赖服务率的mmpp / g /1/ k队列分析","authors":"D. Choi, Bo-keun Kim, Dae-Eun Lim","doi":"10.12941/JKSIAM.2014.18.295","DOIUrl":null,"url":null,"abstract":"We analyze theMMPP/G/1/K queue with a modified state-dependent service rate. The service time of customers upon service initiation is changed if the number of customers in the system reaches a threshold. Then, the changed service time is continued until the system becomes empty completely, and this process is repeated. We analyze this system using an embedded Markov chain and a supplementary variable method, and present the queue length distributions at a customer’s departure epochs and then at an arbitrary time.","PeriodicalId":41717,"journal":{"name":"Journal of the Korean Society for Industrial and Applied Mathematics","volume":"47 1","pages":"295-304"},"PeriodicalIF":0.3000,"publicationDate":"2014-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ANALYSIS OF THE MMPP/G/1/K QUEUE WITH A MODIFIED STATE-DEPENDENT SERVICE RATE\",\"authors\":\"D. Choi, Bo-keun Kim, Dae-Eun Lim\",\"doi\":\"10.12941/JKSIAM.2014.18.295\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We analyze theMMPP/G/1/K queue with a modified state-dependent service rate. The service time of customers upon service initiation is changed if the number of customers in the system reaches a threshold. Then, the changed service time is continued until the system becomes empty completely, and this process is repeated. We analyze this system using an embedded Markov chain and a supplementary variable method, and present the queue length distributions at a customer’s departure epochs and then at an arbitrary time.\",\"PeriodicalId\":41717,\"journal\":{\"name\":\"Journal of the Korean Society for Industrial and Applied Mathematics\",\"volume\":\"47 1\",\"pages\":\"295-304\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2014-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Korean Society for Industrial and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12941/JKSIAM.2014.18.295\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Society for Industrial and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12941/JKSIAM.2014.18.295","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

我们用修改后的状态依赖服务率来分析theMMPP/G/1/K队列。当系统中客户数量达到阈值时，修改客户在初始化服务时的服务时间。然后，继续更改服务时间，直到系统完全清空，并重复此过程。利用嵌入马尔可夫链和补充变量法对该系统进行了分析，给出了在顾客离开时刻和任意时刻的排队长度分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ANALYSIS OF THE MMPP/G/1/K QUEUE WITH A MODIFIED STATE-DEPENDENT SERVICE RATE

We analyze theMMPP/G/1/K queue with a modified state-dependent service rate. The service time of customers upon service initiation is changed if the number of customers in the system reaches a threshold. Then, the changed service time is continued until the system becomes empty completely, and this process is repeated. We analyze this system using an embedded Markov chain and a supplementary variable method, and present the queue length distributions at a customer’s departure epochs and then at an arbitrary time.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量