Analysis of Single Server Repairable Queueing System With Many Kinds of Service, Single Working Vacation and Standby Server

K Baby Saroja Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603 203, India http://orcid.org/0009-0000-1115-7167
V Suvitha Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603 203, India http://orcid.org/0000-0002-3969-886X

DOI: https://doi.org/10.2298/YJOR230915029B

Abstract

We consider a single server queueing model in which the customers arrive according to a Markovian Arrival Process (MAP). We modeled this queueing system with many kinds of service where the customers can choose any kind from the server. Each kind of service follows Phase-type (P H) distribution. We analyzed the model with breakdown, repair, single working vacation and standby server. A standby server works only when the main server is breakdown while serving the customer during a busy or vacation period. Using the matrix-geometric approach, we examined the model. A few real-world examples have been given, and several graphical and numerical examples have also been provided.

Published

2023-12-02

How to Cite

BABY SAROJA, K; SUVITHA, V. Analysis of Single Server Repairable Queueing System With Many Kinds of Service, Single Working Vacation and Standby Server. Yugoslav Journal of Operations Research, [S.l.], v. 34, n. 2, p. 285–306, dec. 2023. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1242>. Date accessed: 04 dec. 2024. doi: https://doi.org/10.2298/YJOR230915029B.

Citation Formats

Issue

Vol 34 No 2 (2024)

Section

Research Articles

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Analysis of Single Server Repairable Queueing System With Many Kinds of Service, Single Working Vacation and Standby Server

Abstract

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