Stability analysis of the Cambridge ring (Q1598890)

This paper deals with a Cambridge ring nodelled as a Markov chain, and the exact ergodicity conditions are given. The ergodicity is proven by the help of the stability analysis of the associated fluid limits. The ergodicity conditions are shown to depend on the precise travel lengths distributions, not only on their means, whereas the arrival distributions which effect the system via their means, are more subtly involved in the fluid limit behaviour, in that thay determine the probabilities of random bifurcation that accur infinitely often in a simple system of double queues.