<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system with Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging and retention of reneged customers. The steady-state solution of the queueing system is obtained by using probability generating function (PGF). In addition, important performance measures of the queueing system are derived. Then, a cost model is formulated in order to carry out the parameter optimization using genetic algorithm (GA). Finally, numerical study is presented in which various system performance measures are evaluated based on supposed numerical values given to the system parameters.</p>
</abstract>

This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system with Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging and retention of reneged customers. The steady-state solution of the queueing system is obtained by using probability generating function (PGF). In addition, important performance measures of the queueing system are derived. Then, a cost model is formulated in order to carry out the parameter optimization using genetic algorithm (GA). Finally, numerical study is presented in which various system performance measures are evaluated based on supposed numerical values given to the system parameters.

Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

Djillali Liabes University of Sidi Bel Abbes

University of Sidi Bel Abbes, Ecole Supérieure En Sciences Appliquées

Laboratory of Stochastic Models, Statistic and Applications

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system with Bernoulli feedback, synchronous multiple and...

Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

Published Online: Nov 18, 2022

Page range: 37 - 60

DOI: https://doi.org/10.2478/ausm-2022-0003

Keywords
multi-server queueing systems, synchronous working vacation, batch arrival, reneging, cost model

© 2022 Amina Angelika Bouchentouf et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

Published Online: Nov 18, 2022

Page range: 37 - 60

DOI: https://doi.org/10.2478/ausm-2022-0003

Keywordsmulti-server queueing systems, synchronous working vacation, batch arrival, reneging, cost model

© 2022 Amina Angelika Bouchentouf et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
multi-server queueing systems, synchronous working vacation, batch arrival, reneging, cost model