A two threshold vacation policy in multiserver queueing systems
نویسندگان
چکیده
We consider a queueing system with c servers and a threshold type vacation policy. In this system, when a certain number d<c of servers become idle at a service completion instant, these d servers will take a synchronous vacation of random length together. After each vacation, the number of customers in the system is checked. If that number is N or more, these d servers will resume serving the queue; otherwise, they will take another vacation together. Using the matrix analytical method, we obtain the stationary distribution of queue length and prove the conditional stochastic decomposition properties. Through numerical examples, we discuss the performance evaluation and optimization issues in such a vacation system with this (d,N) threshold policy. 2004 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- European Journal of Operational Research
دوره 168 شماره
صفحات -
تاریخ انتشار 2006