Algorithmic approach to Markovian multi-server retrial queues with vacations

被引：7
|
作者：
Shin, Yang Woo [1 ]
机构：
[1] Changwon Natl Univ, Dept Stat, Chang Won 641773, Gyeongnam, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 250卷
基金：
新加坡国家研究基金会;
关键词：
Retrial queue with vacations; Single vacation; Multiple vacation; Level dependent quasi-birth-and-death process; M/G/1; QUEUE; SERVER; POLICY;
D O I：
10.1016/j.amc.2014.10.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are many practical situations that have both features of customer retrials and server vacations. The vacation policy is characterized by the vacation startup rules and vacation termination rules. The queueing system with retrials and vacations has been described in variety of ways according to the vacation rules and retrial policies such as constant retrial policy and linear retrial policy and analyzed for each specific model. In this paper, we model the Markovian multi-server queues with customers' retrials and vacations with level dependent quasi-birth-and-death (LDQBD) process in a unified manner and present an algorithmic approach to compute the performance measures of the system. (C) 2014 Elsevier Inc. All rights reserved.
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页码：287 / 297
页数：11
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