Analysis of the waiting time distribution in M/G/1 retrial queues with two way communication

被引：7
|
作者：
Lee, Se Won [1 ]
Kim, Bara [2 ]
Kim, Jeongsim [3 ]
机构：
[1] Pukyong Natl Univ, Div Business Adm, 45 Yongso Ro, Busan 48513, South Korea
[2] Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
[3] Chungbuk Natl Univ, Dept Math Educ, 1 Chungdae Ro, Cheongju 28644, Chungbuk, South Korea
来源：
ANNALS OF OPERATIONS RESEARCH | 2022年 / 310卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Retrial queue; Two way communication; Joint transform;
D O I：
10.1007/s10479-020-03717-2
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 an M/G/1 retrial queue in which there are two types of calls: ingoing calls made by regular customers and outgoing calls made by the server in idle time. The service times of ingoing calls and outgoing calls have different arbitrary distributions. In this paper, we are interested in the analysis of the waiting time distribution. We obtain an equation for the joint transform of the number of ingoing calls in the orbit and the waiting time of an arbitrary ingoing call. Using this result, we can obtain the moments of the waiting time distribution of an arbitrary ingoing call.
引用
收藏
页码：505 / 518
页数：14
相关论文
共 50 条
12345