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

Authors

  • Abdelhak Guendouzi Institute of Science, University Center El Cherif Bouchoucha of Aflou, Algeria
  • Allal Saadaoui Institute of Science, University Center El Cherif Bouchoucha of Aflou, Algeria

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 using R software are provided to confirm the analytical findings and highlight the influence of queueing parameters on performance indicators and system costs.

Downloads

Published

2026-01-23

Issue

Vol. 17 No. 1 (2026): CRORR

Section

CRORR Journal Regular Issue

License

- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal

- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).