Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706187 | Applied Mathematical Modelling | 2008 | 13 Pages |
Abstract
In this paper, we study a discrete time Geom/Geom/1 queue with multiple working vacations. Using the quasi birth and death chain and matrix-geometric solution method, we give distributions for the number of customers in system and the waiting time of a customer and their stochastic decomposition structures, and obtain distributions of the additional number of customers and additional delay. Furthermore, we derive the formulae of expected regular busy period and expected busy cycle. Finally, by numerical examples, we analyze the effect of the parameters on the expected queue length and sojourn time.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Naishuo Tian, Zhanyou Ma, Mingxin Liu,