Geo/Geo/c/N反馈队列在同步工作休假和不耐烦客户条件下的最优成本分析

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2019-12-13 DOI:10.17535/crorr.2019.0019

Lahcene Yahiaoui, A. Bouchentouf, M. Kadi

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引用次数: 5

摘要

本文研究了一个离散时间有限容量多服务器排队系统的成本优化分析，该系统具有伯努利反馈、多工作假期和单工作假期同步、在繁忙和工作假期期间的停顿和反悔。通过采用一定的说服机制来完成服务，可以将背叛的客户保留在系统中。利用递推方法，得到了稳态概率的显式表达式。提出了各种系统性能指标。此外，还建立了成本模型。然后，利用二次拟合搜索方法对模型进行了优化。最后，数值模拟了各种系统参数对排队系统性能指标的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.