Original scientific paper

https://doi.org/10.17535/crorr.2026.0002

Customer impatience in the GI/M(k)/1/N queue with working vacation: Economic and performance analysis

Abdelhak Guendouzi orcid.org/0000-0002-2627-8495 ; Institute of Science, University Center of Aflou, Aflou, Algeria *
Allal Saadaoui orcid.org/0000-0002-4092-5804 ; Institute of Science, University Center of Aflou, Aflou, Algeria

* Corresponding author.

Abstract

This study investigates a GI/M(k)/1/N queueing system with Bernoulli feedback and multiple working vacation policy. The model incorporates customer impatience and accounts for the retention of reneged customers. By employing the supplementary variable technique and recursive methods, we derive the steady-state distributions of the customer count at both pre-arrival and arbitrary epochs. Various system performance measures are analyzed. In addition, an economic evaluation is carried out. Numerical illustrations are provided using the R software to confirm the analytical findings and highlight the influence of queueing parameters on performance indicators and system costs.

Keywords

The GI/M(k)/1/N queue; impatient customers; working vacation; Bernoulli feedback; cost model

Hrčak ID:

331618

URI

https://hrcak.srce.hr/331618

Publication date:

3.6.2025.

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