| Article ID: | iaor1990736 |
| Country: | Israel |
| Volume: | 26 |
| Issue: | 3 |
| Start Page Number: | 1 |
| End Page Number: | 7 |
| Publication Date: | Sep 1989 |
| Journal: | Journal of Applied Probability |
| Authors: | Sigman Karl . |
A new proof of the stability of closed Jackson-type queueing networks (with general service-time distributions) is given and sufficient conditions are given for obtaining Cesaro, weak and total variation convergence of the continuous-time joint queue length and residual service-time process to a limiting distribution. The result weakens the sufficient conditions (for stability) of Borovkov by allowing more general service-time distributions.