Article ID: | iaor20062330 |
Country: | China |
Volume: | 14 |
Issue: | 1 |
Start Page Number: | 1 |
End Page Number: | 7 |
Publication Date: | Feb 2005 |
Journal: | Operations Research and Management Science |
Authors: | Tian Naishuo, Xu Xiuli, Ma Zhanyou, Liu Mingxin |
Keywords: | M/M/ queues |
In this paper, we give the method of partial differential equation, by which we study the joint queue length distribution for set of M/M/∞ queues driven by the common arrival process. We get the multivariate generating function for instantaneous joint queue length distribution under any initial condition, and discuss the joint distribution for steady-state queue length and the related property among queuing systems.