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

被引：4

作者：

Yahiaoui, Lahcene ^{[1
]}

Bouchentouf, Amina Angelika ^{[2
]}

Kadi, Mokhtar ^{[1
]}

机构：

[1] Dr Moulay Tahar Univ Saida, Lab Stochast Models Stat & Applicat, BP 138, En Nasr 20000, Saida, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Dept Math, BP 89, Sidi Bel Abbes 22000, Algeria

来源：

CROATIAN OPERATIONAL RESEARCH REVIEW | 2019年 / 10卷 / 02期

关键词：

multiserver queueing systems; synchronous vacation; impatient customers; Bernoulli feedback; cost model; optimization; SINGLE-SERVER QUEUE; M/M/1; QUEUE; SYSTEM; BALKING;

D O I：

10.17535/crorr.2019.0019

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

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.

引用

页码：211 / 226

页数：16

共 28 条

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[27] Cost optimisation analysis of retrial queue with K optional phases of service under multiple working vacations and random breakdowns
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[28] The MX/M/c\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M^{X}/M/c$$\end{document} Bernoulli feedback queue with variant multiple working vacations and impatient customers: performance and economic analysis
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