Original scientific paper

https://doi.org/10.17535/crorr.2019.0019

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Lahcene Yahiaoui orcid.org/0000-0001-6573-672X ; Laboratory of Stochastic Models, Statistic and Applications, Dr Moulay Tahar University of Saida
Amina Angelika Bouchentouf orcid.org/0000-0001-8972-4221 ; Laboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes
Mokhtar Kadi ; Laboratory of Stochastic Models, Statistic and Applications, Dr Moulay Tahar University of Saida

Abstract

This paper concerns the cost optimisation analysis of a discrete-time finite-capacity multiserver queueing system with Bernoulli feedback, synchronous multiple and single working vacations, balking, and reneging during both busy and working vacation periods. A reneged customer can be retained in the system by employing certain persuasive mechanism for completion of service. Using recursive method, the explicit expressions for the stationary state probabilities are obtained. Various system performance measures are presented. Further, a cost model is formulated. Then, the optimization of the model is carried out using quadratic fit search method (QFSM). Finally, the impact of various system parameters on the performance measures of the queueing system is shown numerically.

Keywords

multiserver queueing systems; synchronous vacation; impatient customers; Bernoulli feedback; cost model; optimization

Hrčak ID:

229886

URI

https://hrcak.srce.hr/229886

Publication date:

13.12.2019.

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