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A closed-form solution for a two-server heterogeneous retrial queue with threshold policy
TIEN VAN DO DENES PAPP RAM CHAKKA JINTING WANG JANOS SZTRIK
Volume 41 Issue 8 August 2016 pp 817-823
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https://www.ias.ac.in/article/fulltext/sadh/041/08/0817-0823 -
Keywords
Retrial queue ;two servers ;threshold ;spectral expansion ;closed-form -
Abstract
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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Author Affiliations
TIEN VAN DO1 2 DENES PAPP2 RAM CHAKKA3 JINTING WANG4 JANOS SZTRIK5
- Division of Knowledge and System Engineering for ICT, Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam
- Department of Networked Systems and Services, Budapest University of Technology and Economics, H-117, Magyar tudo ´sok ko ¨ru ´tja 2, Budapest, Hungary
- RGM College of Engineering and Technology (RGMCET), Nandyal, Kurnool District, Andhra Pradesh, India
- Department of Mathematics, Beijing Jiaotong University, Beijing, China
- Department of Informatics Systems and Networks, Faculty of Informatics, University of Debrecen, Debrecen, Hungary
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Dates
- Published
- August 2016
- Manuscript received
- 1 June 2015
- Manuscript revised
- 14 March 2016
- Accepted
- 17 March 2016
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