Before revision:  The dynamics is infinite dimensional Markov, with each queue having a non compact state space . It is neither reversible nor asymptotically product form, as in the mean-field setting . Coupling and percolation techniques are first used to show that this dynamics has well defined trajectories.
After revision:  The interactions are translation invariant in space and is neither of the Jackson Networks type, nor of the mean-field setting . Coupling and percolation techniques are first used to show that this dynamics has well defined trajectories.