A GI/Geo/1 queue with negative and positive customers

被引：12
|
作者：
Chae, Kyung C. [1 ]
Park, Hyun M. [1 ]
Yang, Won S. [2 ]
机构：
[1] Korea Adv Inst Sci & Technol, Dept Ind & Syst Engn, Taejon 305701, South Korea
[2] ETRI, Technol Strategy Div, Taejon 305700, South Korea
来源：
APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 06期
关键词：
Discrete-time queue; RCH and RCE; GI/M/1; queue; Queue length; Waiting time; DISCRETE-TIME; NETWORKS;
D O I：
10.1016/j.apm.2009.09.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The arrival of a negative customer to a queueing system causes one positive customer to be removed if any is present. Continuous-time queues with negative and positive customers have been thoroughly investigated over the last two decades. On the other hand, a discrete-time Geo/Geo/1 queue with negative and positive customers appeared only recently in the literature. We extend this Geo/Geo/1 queue to a corresponding GI/Geo/1 queue. We present both the stationary queue length distribution and the sojourn time distribution. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1662 / 1671
页数：10
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