| Article ID: | iaor20033328 |
| Country: | China |
| Volume: | 19 |
| Issue: | 1 |
| Start Page Number: | 55 |
| End Page Number: | 59 |
| Publication Date: | Mar 2002 |
| Journal: | Mathematics in Economics |
| Authors: | Lu Wen, Yuan Chenggui, Zhang Hanjun |
| Keywords: | queueing networks |
In this paper, we consider the heavy traffic limits of Lu–Kumar reentrant queueing networks. First, we show some results of its stability, and then, we prove that under the priority discipline p=(4,1), (2,3), the heavy traffic limits theorem holds for the network. The main tools we used here are the property of completeness for a matrix R and piecewise linear Lyapunov function.