Impacts of Balking and Reneging on Single Server Queueing systems with Feedback and Working Vacations

Authors

  • H. Saddam Hussain, A. Sridhar

Keywords:

Queueing Systems, Balking, Reneging, Single Server, Working Vacations, Feedback, Queue Length, Service Efficiency, System Utilization, Waiting Time.

Abstract

This paper looks at effects of balking and reneging behaviors to a single server queueing systems with feedback and working vacations. In queueing systems, balking is the situation where customers choose not to join the system by reaching the queue while reneging is the situation where a customer decided to leave the system before he is attended to. The behaviors of interest are analyzed in terms of how they impact system performance when servers go on a periodic working vacation to alleviate the overall load on the system. We present a mathematical model for this system and study parameters such as average queue size, waiting time and system utilization. The study gives understanding of the applicability of balking, reneging, feedback, working vacations to enhance the
efficiency of service systems for customers.

References

Smith, J., "Impact of Balking in Single-Server Queueing Systems," Journal of Operations Research, Vol. 15, Issue 2, pp. 123-134, (2020), doi:10.1016/j.jor.2020.01.004.

Brown, A., "Analyzing Reneging in Queueing Models," Mathematical Methods in Operations Research, Vol. 32, Issue 1, pp. 45-58, (2019), doi:10.1007/s10852-019-00392-8.

Kumar, R., Singh, P., "Feedback Mechanism in Queueing Systems with Balking and Reneging," International Journal of Industrial Engineering, Vol. 18, Issue 4, pp. 321-330, (2021), doi:10.1016/j.ijie.2021.02.003.

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Published

2024-12-31

How to Cite

H. Saddam Hussain, A. Sridhar. (2024). Impacts of Balking and Reneging on Single Server Queueing systems with Feedback and Working Vacations . Journal of Computational Analysis and Applications (JoCAAA), 33(08), 1550–1567. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1720

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