On The N-Policy of M/G/1 Feedback Queue with Varying Arrival Rates

被引：0
作者：
B. Krishna Kumar
D. Arivudainambi
A. Vijayakumar
机构：
[1] Anna University,School of Mathematics, College of Engineering
来源：
OPSEARCH | 2002年 / 39卷 / 5-6期
关键词：
N-Policy; Setup time; System size; Waiting time; Feedback queue;
D O I：
10.1007/BF03399191
中图分类号：
学科分类号：
摘要：
An M/G/1 queue with Bernoulli feedback and general setup time under a control policy is analyzed. The customers arrival rate at service station varies according to the system status: buildup, setup and busy states. The probability generating function for system size and mean number of customers in the system are obtained under steady-state conditions. During the idle period of the server, the probability generating function for the queue length is expressed as a convex combination of the probability generating function of queue size during buildup period and probability generating function of the queue size during setup period. The Laplace-Stieltjes transform of waiting time and its mean are studied. The optimal N-value from which the server starts his setup is determined by minimizing the total operation cost of the system.
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页码：296 / 314
页数：18
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