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

被引：4

作者：

Tien Van Do ^{[1
,2
]}

Papp, Denes ^{[2
]}

Chakka, Ram ^{[3
]}

Wang, Jinting ^{[4
]}

Sztrik, Janos ^{[5
]}

机构：

[1] Ton Duc Thang Univ, Fac Informat Technol, Div Knowledge & Syst Engn ICT, Ho Chi Minh City, Vietnam

[2] Budapest Univ Technol & Econ, Dept Networked Syst & Serv, Magyar Tudosok Korutja 2, H-117 Budapest, Hungary

[3] RGMCET, Nandyal, Andhra Pradesh, India

[4] Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China

[5] Univ Debrecen, Fac Informat, Dept Informat Syst & Networks, Debrecen, Hungary

来源：

SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 2016年 / 41卷 / 08期

关键词：

Retrial queue; two servers; threshold; spectral expansion; closed-form; CUSTOMERS;

D O I：

10.1007/s12046-016-0519-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

引用

页码：817 / 823

页数：7

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