On the ergodicity of networks of ·/GI/1/N queues
- 1 March 1990
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 22 (1) , 263-267
- https://doi.org/10.2307/1427613
Abstract
In this paper we consider a network of ·/GI/1/N queues with finite-length buffers. A suitable Markov process for the time-evolution of this system is defined. This process is subsequently shown to be ergodic under the conditions of Borovkov (1987).Keywords
This publication has 3 references indexed in Scilit:
- Notes on the stability of closed queueing networksJournal of Applied Probability, 1989
- Limit Theorems for Queueing Networks. ITheory of Probability and Its Applications, 1987
- Continuity of Generalized Semi-Markov ProcessesMathematics of Operations Research, 1980