Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

被引:10
|
作者
Kim, Bara [2 ]
Kim, Jeongsim [1 ]
机构
[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, Chungbuk, South Korea
[2] Korea Univ, Dept Math, Seoul 136701, South Korea
基金
新加坡国家研究基金会;
关键词
M/M/m retrial queue; Nonpersistent customers; Tail asymptotics; Karamata's Tauberian theorem;
D O I
10.1016/j.orl.2012.09.004
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider the M/M/m retrial queue with nonpersistent customers. Liu et al. (2011) [12] provided the asymptotic lower and upper bounds for the stationary distribution of the number of customers in the orbit. In this paper we strengthen Liu, Wang and Zhao's result by finding the exact tail asymptotic formula. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:537 / 540
页数:4
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