Synchronized abandonments in a single server unreliable queue

被引：28

作者：

Economou, Antonis ^{[1
]}

Kapodistria, Stella ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2010年 / 203卷 / 01期

关键词：

Queueing system; Unreliable server; Catastrophes; Synchronized abandonments; Basic q-hypergeometric series; Markov chain; Stationary distribution; Sojourn time; Busy period; IMMIGRATION PROCESS SUBJECT; MARKOV-CHAINS; CUSTOMERS; MODELS; SYSTEM;

D O I：

10.1016/j.ejor.2009.07.014

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider a single server unreliable queue represented by a 2-dimensional continuous-time Markov chain. At failure times, the present customers leave the system. Moreover, customers become impatient and perform synchronized abandonments, as long as the server is down. We analyze this model and derive the main performance measures using results from the basic q-hypergeometric series. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：143 / 155

页数：13

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