Level‐Crossing Ordering of $M/M/c$ Retrial Queues

Using recent results of the authors for the level‐crossing ordering of Markov jump processes defined on a common partially ordered Polish space, we establish sufficient conditions for the level‐crossing ordering of two $M/M/c$ retrial queues, written in terms of their usual parameterizations. As expected, these conditions are weaker than those required for the processes to be ordered in the usual stochastic ordering sense.