A closed-form solution for a two-server heterogeneous retrial queue with threshold policy

被引：0
|
作者：
Tien Van Do
Dénes Papp
Ram Chakka
Jinting Wang
János Sztrik
机构：
[1] Ton Duc Thang University,Division of Knowledge and System Engineering for ICT, Faculty of Information Technology
[2] Budapest University of Technology and Economics,Department of Networked Systems and Services
[3] RGM College of Engineering and Technology (RGMCET),Department of Mathematics
[4] Beijing Jiaotong University,Department of Informatics Systems and Networks, Faculty of Informatics
[5] University of Debrecen,undefined
来源：
Sādhanā | 2016年 / 41卷
关键词：
Retrial queue; two servers; threshold; spectral expansion; closed-form;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we reconsider a two-server heterogeneous retrial queue with threshold policy. However, the computation time with the existing method is prohibitively large for certain values of the threshold parameter. Applying the spectral expansion method, we derive a closed-form expression for the eigenvalues and eigenvectors matrix that are needed to determine the steady-state distribution of a quasi-birth-death process describing the queue. As a result, the computation time for the performance measures does not depend on the threshold parameter.
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页码：817 / 823
页数：6
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