On a Multiserver Queueing System with Customers’ Impatience Until the End of Service Under Single and Multiple Vacation Policies

Authors

Mokhtar Kadi, Tahar Moulay University of Saida
Amina A. Bouchentouf, Djillali Liabes University of Sidi Bel Abbes
Lahcene Yahiaoui, Tahar Moulay University of Saida

Abstract

This paper deals with a multiserver queueing system with Bernoulli feedback and impatient customers (balking and reneging) under synchronous multiple and single vacation policies. Reneged customers may be retained in the system. Using probability generating functions (PGFs) technique, we formally obtain the steady-state solution of the proposed queueing system. Further, important performance measures and cost model are derived. Finally, numerical examples are presented.

Recommended Citation

Kadi, Mokhtar; Bouchentouf, Amina A.; and Yahiaoui, Lahcene (2020). On a Multiserver Queueing System with Customers’ Impatience Until the End of Service Under Single and Multiple Vacation Policies, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/4