کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641946 | 1632054 | 2008 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Discrete-time GeoX/G/1GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations Discrete-time GeoX/G/1GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations](/preview/png/4641946.png)
In this paper we consider a discrete-time GeoX/G/1GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations policy in which the vacation time, service time, repair time and the delayed time all follow arbitrary discrete distribution. By using a concise decomposition method, the transient and steady-state distributions of the queue length are studied, and the stochastic decomposition property of steady-state queue length has been proved. Several common vacation policies are special cases of the vacation policy presented in this study. The relationship between the generating functions of steady-state queue length at departure epoch and arbitrary epoch is obtained. Finally, we give some numerical examples to illustrate the effect of the parameters on several performance characteristics.
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1–2, 15 October 2008, Pages 439–455