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
  • V Suvitha Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603 203, India
DOI: http://dx.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
Dec 2, 2023
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.], dec. 2023. ISSN 2334-6043. Available at: <http://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1242>. Date accessed: 27 apr. 2024. doi: http://dx.doi.org/10.2298/YJOR230915029B.
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Online first
Section
Research Articles
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