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

Ferreira, Fátima; Pacheco, António

Proceedings of International Conference on Numerical Analysis and Applied Mathematics, Rethymno, Greece, 18/09-22/09, 1-2 (2009), 381-384

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.