Some new results on the stability of Markovian stochastic network models

In this paper we provide some new insights on the stability of some Markovian stochastic network models. More precisely we show how a variation of a positive recurrence criterion for multidimensional Markov chains due to Rosberg (JAP, Vol. 17, No. 3, 1980) can be developed to generalize the necessary and sufficient conditions for stability for multiclass Markovian networks with class independent routing and any work conserving service discipline. We also discuss the stability of a coupled processor model of interest in wireless networks.