GI/M/1 QUEUE WITH SERVER VACATIONS

被引：14

作者：

CHATTERJEE, U ^{[1
]}

MUKHERJEE, SP ^{[1
]}

机构：

[1] UNIV CALCUTTA,CALCUTTA 700073,W BENGAL,INDIA

来源：

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY | 1990年 / 41卷 / 01期

关键词：

Mathematical Models;

D O I：

10.1038/sj/jors/0410109

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

A queueing model with server vacations is studied in which it is assumed that the interarrival time has a general distribution, the service-time distribution is exponential and vacations are independently and indentically distributed with a general distribution. Using the embedded Markov chain technique, the equilibrium probability distributions of system size have been obtained at pre-arrival and at random epochs separately. Finally, the distribution of waiting time of a customer in the queue (excluding service) has been derived.

引用

页码：83 / 87

页数：5

共 9 条

[1] QUEUES SERVED IN CYCLIC ORDER - WAITING TIMES [J].