Multi-Server Markovian Heterogeneous Arrivals Queue With Two Kinds of Working Vacations and Impatient Customers

  • R. S. Yohapriyadharsini Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, India
  • V. Suvitha Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, India
DOI: https://doi.org/10.2298/YJOR221117011Y

Abstract

This paper deals with multi-server queueing system with two kinds of Working Vacations (WVs) and impatient customers. A random timer is started whenever a customer comes into the system. The customer may abandon the system if the service is not completed before the impatience timer expires. Each time after serving all the customers, the system becomes empty and then the server begins 1st kind of vacation. On returning from 1st kind of WV, the server begins 2nd kind of WV whenever a system has no customers. When the server comes back from either 1st kind or 2nd kind of WV, if there is at least one customer in the system, the server switches to busy period. The steady state probabilities have been derived using the Probability Generating Functions (PGFs) method. Various measures of performance are presented and numerical illustrations are also provided.

Published
2023-04-19
How to Cite
YOHAPRIYADHARSINI, R. S.; SUVITHA, V.. Multi-Server Markovian Heterogeneous Arrivals Queue With Two Kinds of Working Vacations and Impatient Customers. Yugoslav Journal of Operations Research, [S.l.], v. 33, n. 4, p. 643-666, apr. 2023. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1215>. Date accessed: 04 dec. 2024. doi: https://doi.org/10.2298/YJOR221117011Y.
Citation Formats
Issue
Vol 33 No 4 (2023)
Section
Research Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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