28- https://doi.org/10.2307/3214428
Notes on the stability of closed queueing networks
- Sep 1, 1989
- Journal of Applied Probability
- Karl Sigman
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.
- # General Service-time Distributions
- # Queueing Networks
- # General Distributions
- # Sufficient Conditions For Stability
- # Sufficient Conditions
- # Weak Variation
- # Weak Convergence
- # Conditions For Stability
- # Total Variation Convergence
- # Joint Queue Length
