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

被引：1

作者：

Bouchentouf, Amina Angelika ^{[1
]}

Houalef, Meriem ^{[2
]}

Guendouzi, Abdelhak ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Ecole Super Sci Appl, Lab Math, BP 119, Tilimsen 13000, Algeria

[3] Dr Tahar Moulay Univ, Lab Stochast Models, Stat & Applicat, Saida, Algeria

来源：

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2022年 / 14卷 / 01期

关键词：

multi-server queueing systems; synchronous working vacation; batch arrival; reneging; cost model; TRANSIENT SOLUTION; M/M/1; QUEUE; FEEDBACK; MODEL;

D O I：

10.2478/ausm-2022-0003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：37 / 60

页数：24

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