M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy

被引：6
|
作者：
Tao, Li [1 ]
Zhang, Liyuan [2 ]
Gao, Shan [3 ,4 ]
机构：
[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China
[2] Shandong Univ Technol, Sch Business, Zibo 255049, Peoples R China
[3] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[4] Fuyang Normal Coll, Dept Math, Fuyang 236037, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
PERFORMANCE ANALYSIS; GI/M/1; QUEUE; M/G/1;
D O I：
10.1155/2014/414739
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an M/M/1 retrial queue with working vacations, vacation interruption, Bernoulli feedback, and N-policy simultaneously. During the working vacation period, customers can be served at a lower rate. Using the matrix-analytic method, we get the necessary and sufficient condition for the system to be stable. Furthermore, the stationary probability distribution and some performance measures are also derived. Moreover, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, we present some numerical examples and use the parabolic method to search the optimum value of service rate in working vacation period.
引用
收藏
页数：9
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