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

被引：0
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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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页码：188 / 194
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