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恒定服务时间多服务器批量到达队列MX/D/c的计算结果

Computational Results of Multiserver Bulk-Arrival Queues with Constant Service Time MX/D/c

Operations Research · 1992
被引 12
人大 AFT50UTD24ABS 4*

中文导读

提出了一种数值算法,用于求解批量到达、多服务器排队系统MX/D/c中系统内顾客数的极限分布,并给出了样本数值结果和图表,算法在参数高低值时均高效准确。

Abstract

We present an algorithm for numerically finding the limiting distribution of the number in the system for the bulk-arrival, multiserver queueing system M X /D/c. Sample numerical results and graphs of various quantities of interest are also presented. In all cases, the proposed method is computationally efficient, accurate and reliable for both high and low values of the model parameters. The procedure is adaptable to other queueing models in discrete and continuous time, to problems in inventory control, the theory of dams, etc. Exact results found here will also be found useful by people dealing with inequalities, bounds, and approximations.

排队论批量到达队列多服务器系统数值算法