Level-crossing ordering of M/M/c retrial queues

Proceedings of International Conference on Numerical Analysis and Applied Mathematics, Rethymno, Greece, 18/09-22/09, 1-2 (2009), 381-384
http://dx.doi.org/10.1063/1.3241475

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.