Geo/G/1 queues with disasters and general repair times

被引：28

作者：

Lee, Doo Ho ^{[1
]}

Yang, Won Seok ^{[2
]}

Park, Hyun Min ^{[3
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Ind & Syst Engn, Taejon 305701, South Korea

[2] Hannam Univ, Dept Business Adm, Taejon 306791, South Korea

[3] Pai Chai Univ, Dept Business Adm, Taejon 302735, South Korea

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 04期

关键词：

Geo/G/1; queues; Disasters; Repair times; Queue length; Sojourn time; DISCRETE-TIME; NEGATIVE CUSTOMERS; GEO/GEO/1; QUEUE; RETRIAL QUEUE; G-NETWORKS; MODEL;

D O I：

10.1016/j.apm.2010.09.032

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper discusses discrete-time single server Geo/G/1 queues that are subject to failure due to a disaster arrival. Upon a disaster arrival, all present customers leave the system. At a failure epoch, the server is turned off and the repair period immediately begins. The repair times are commonly distributed random variables. We derive the probability generating functions of the queue length distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1561 / 1570

页数：10

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