Optimal control of an M/Hk/1 queueing system with a removable server

被引：0
|
作者：
Kuo-Hsiung Wang
Kuo-Liang Yen
机构：
[1] Department of Applied Mathematics,
[2] National Chung-Hsing University,undefined
[3] 250 Kuo-Kuang Rd.,undefined
[4] Taichung 402,undefined
[5] TAIWAN,undefined
来源：
Mathematical Methods of Operations Research | 2003年 / 57卷
关键词：
Key words: control; cost; k-type hyper-exponential; queue;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper studies a single removable server queueing system with Poisson arrivals and k-type hyper-exponential service time distribution operating under the N-policy. The server may be turned on at arrival epochs or off at departure epochs. We show that the probability that the server is busy in the steady-state is equal to ∑i=1kqi ρi. Various system performance measures, such as the expected number of customers in the system, the expected waiting time in the queue, and the expected waiting time in the system are obtained. A total expected cost function per unit time is developed to determine the optimal operating N-policy at minimum cost.
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页码：255 / 262
页数：7
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