(R2117) Cost Optimization of Queueing System with Differentiated Vacations and Reneging of Customers

Authors

Poonam Gupta, I.B. (PG) College, India
Rajni Gupta, Hindu College, Sonipat, India

Abstract

This manuscript deals with an infinite-capacity queueing system under multiple differentiated working vacations and customers’ impatience. The first vacation is assumed to be a working vacation where the server, instead of being idle, serves the customers at a lower rate. In contrast, the second one is considered a non-working vacation of a different duration. The customers may leave the system at any time due to long delays in service during vacations but, via some convincing mechanisms, they are retained in the system. The operating characteristics of the system are obtained in a steady state. The results obtained are illustrated numerically and graphically with the help of MATLAB software. The cost model is formulated for the proposed system, and the optimal cost is obtained relative to the service rate.

Recommended Citation

Gupta, Poonam and Gupta, Rajni (2024). (R2117) Cost Optimization of Queueing System with Differentiated Vacations and Reneging of Customers, Applications and Applied Mathematics: An International Journal (AAM), Vol. 20, Iss. 1, Article 3.
Available at: https://digitalcommons.pvamu.edu/aam/vol20/iss1/3