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

页码：1662 / 1671

页数：10

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