Article ID: | iaor1998965 |
Country: | United Kingdom |
Volume: | 29 |
Issue: | 2 |
Start Page Number: | 498 |
End Page Number: | 522 |
Publication Date: | Jun 1997 |
Journal: | Advances in Applied Probability |
Authors: | Zhang Hanqin |
Keywords: | queueing networks, Brownian motion |
A sequence of irreducible closed queueing networks is considered in this paper. We obtain that the queue length processes can be approximated by reflected Brownian motions. Using these approximations, we get rates of convergence of the distributions of queue lengths.