Analysis of Heterogeneous Two Server Queueing System With Multiple Working Vacations and Server Breakdown

  • Karthick V Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, INDIA
  • Suvitha V Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, INDIA

Abstract

The steady state analysis and the time-dependent behaviour of a heterogeneous two-server multiple vacation queueing model is examined in this research work. The model also takes into account the possibility of a breakdown happening when server 1 is busy while server 2 is on working vacation and both servers are busy, with the restoration procedure starting right away. The stability condition is established through the use of matrix geometric technique, and the steady-state probability vector of the system’s number of customers has been evaluated as a quasi-birth and death (QBD) process. Some system performance measures are obtained. Numerical analysis for both steady-state and transient analysis are given to our proposed model.

Published
Mar 19, 2024
How to Cite
V, Karthick; V, Suvitha. Analysis of Heterogeneous Two Server Queueing System With Multiple Working Vacations and Server Breakdown. Yugoslav Journal of Operations Research, [S.l.], mar. 2024. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1263>. Date accessed: 15 june 2024. doi: http://dx.doi.org/10.2298/YJOR230915008K.
Section
Research Articles