Notes on the stability of closed queueing networks
- 1 March 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 26 (03) , 678-682
- https://doi.org/10.1017/s0021900200038304
Abstract
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 (1986) by allowing more general service-time distributions.Keywords
This publication has 2 references indexed in Scilit:
- Limit Theorems for Queueing Networks. IITheory of Probability and Its Applications, 1988
- Jobshop-Like Queueing SystemsManagement Science, 1963