文献类型：期刊文献

英文题名：Equilibrium strategy for M/M/1 queueing system with delayed working vacation

作者：Zhao, Guoxi[1]; Tian, Ruiling[2]

第一作者：赵国喜

机构：[1] School of Mathematics and Information Science, Xinxiang University, No. 191, Jinsui Road, Xinxiang, China; [2] College of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, China

第一机构：新乡学院数学与信息科学学院

年份：2015

卷号：9

期号：10

起止页码：2843-2849

外文期刊名：ICIC Express Letters

收录：EI(收录号：20153701273868);Scopus(收录号：2-s2.0-84941268678)

语种：英文

外文关键词：Queueing networks - Sales

摘要：We consider customers’ strategies behavior in an M/M/1 queuing system with delayed working vacation under two scenarios. In scenario 1, the queue length and the server’s status are fully observable. By analyzing the expected sojourn time of a customer under variable system states, we develop the equilibrium threshold strategies. In scenario 2, the system states are fully unobservable. Using matrix-geometric solution theory, we obtain the expected queue length and the expected sojourn time of a customer, and give the mixed strategies of a customer upon the instant of his (her) arrival. The effects of different parameters on the equilibrium behavior are illustrated further through numerical experiments. ? 2015, ICIC International.