Batch arrival queue with N-policy and at most J vacations

被引：29
|
作者：
Ke, Jau-Chuan [1 ]
Huang, Hsin-I [2 ]
Chu, Yunn-Kuang [1 ]
机构：
[1] Natl Taichung Inst Technol, Dept Appl Stat, Taichung 404, Taiwan
[2] Natl Taichung Inst Technol, Dept Comp Sci & Informat Engn, Taichung 404, Taiwan
来源：
APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 02期
关键词：
Busy period distribution; Idle period distribution; System size; Supplemental variable; Waiting time distribution; MULTIPLE VACATIONS; BULK QUEUE; TIME; SYSTEM;
D O I：
10.1016/j.apm.2009.06.003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper studies the operating characteristics of an M-[x]/G/1 queueing system with N-policy and at most J vacations. The server takes at most J vacations repeatedly until at least N customers returning from a vacation are waiting in the queue. If no customer arrives by the end of the Jth vacation, the server becomes idle in the system until the number of arrivals in the queue reaches N. We derive the system size distribution at a random epoch and departure epoch, as well as various system characteristics. (c) 2009 Elsevier Inc. All rights reserved.
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页码：451 / 466
页数：16
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