服务器休假时M/M/c重审队列的近似分析

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2015-12-25 DOI:10.12941/JKSIAM.2015.19.443

Y. Shin, D. Moon

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引用次数: 0

摘要

我们考虑在M/M/c/c队列中，阻塞进入服务设施的客户在随机时间后重试，并且一些空闲服务器可以离开假期。休假时间和重审时间均假定为相型分布。给出了服务设施客户数分布和轨道平均客户数的近似公式。用相位型分布近似一般分布，给出了具有一般重审时间和一般休假时间的M/M/c/c队列的近似。给出了一些数值结果。

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APPROXIMATE ANALYSIS OF M/M/c RETRIAL QUEUE WITH SERVER VACATIONS

We consider the M/M/c/c queues in which the customers blocked to enter the service facility retry after a random amount of time and some of idle servers can leave the vacation. The vacation time and retrial time are assumed to be of phase type distribution. Approximation formulae for the distribution of the number of customers in service facility and the mean number of customers in orbit are presented. We provide an approximation for M/M/c/c queue with general retrial time and general vacation time by approximating the general distribution with phase type distribution. Some numerical results are presented.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量