Optimization of M/M/2 Queueing Model with Working Vacations

Authors

DOI:

https://doi.org/10.3329/jsr.v15i1.59348

Abstract

The paper deals with an M/M/2 Queueing Model with working vacations and reneging of customers due to impatience. The matrix geometric method is used to find the distribution of the number of customers in the system. A cost function is constructed to obtain the optimal value of the service rate to optimize (minimize) the cost function using the Quadratic Fit Search Method (QFSM). Further, the effects on the system's performance measures using numerical analysis and graphical representation are studied.

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Published

2023-01-01

How to Cite

Gupta, S., Joshi, P. K., & Rajeshwari, K. N. . (2023). Optimization of M/M/2 Queueing Model with Working Vacations. Journal of Scientific Research, 15(1), 31–41. https://doi.org/10.3329/jsr.v15i1.59348

Issue

Vol. 15 No. 1 (2023)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

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

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.