Optimal management of a finite M/M/R queueing system with multiple customer classes

被引：0

作者：

Wang, Kuo-Hsiung ^{[1
]}

Chen, Ching-Hao ^{[1
]}

Ke, Jau-Chuan ^{[2
]}

机构：

[1] Department of Applied Mathematics, National Chung-Hsing University, Taichung 402, Taiwan

[2] Department of Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan

来源：

International Journal of Advanced Manufacturing Technology | 2008年 / 36卷 / 1-2期

关键词：

We analyzed an M/M/R queueing system with finite capacity N where customers have multiple classes with no priorities under steady-state conditions. It is assumed that any one class of arriving customer is serviced by one or more servers; and that each customer class has equal probability of service. Analytic explicit solutions are obtained with the assumption of exponential distributions for arrival times and service times. A cost model is developed to determine the optimal system capacity and the optimal number of servers. The minimum expected cost; the optimal system capacity; the optimal number of servers; and various system performance measures are obtained for three customer classes and four customer classes; based on assumed numerical values given to the designated system parameters. © 2006 Springer-Verlag London Limited;

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学科分类号：

摘要：

Journal article (JA)

引用

页码：188 / 194

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