Abstract

This paper focuses on the stability of open queueing systems under stationary ergodic assumptions. It defines a set of conditions, the monotone separable framework, ensuring that the stability region is given by the following saturation rule: `saturate' the queues which are fed by the external arrival stream; look at the `intensity' of the departure stream in this saturated system; then stability holds whenever the intensity of the arrival process, say satisfies the condition ! , whereas the network is unstable if ? .

Citations