Stochastic Comparisons of cell losses with the PushOut access mechanism associated with arbitrary service policies

We compare thc number of lost cells in switches managed by the PushOut mechanism and scheduled under an arbitrary service policy, by applying the comparison of stochastic processes in the strong stochastic ordering sense. New telecommunication networks will provide Quality of Service differentiation. This implies buffer management mechanisms such as the PushOut mechanism to warrant quality for loss-sensitive sessions. Using sample-path arguments, we present the relationships between the speed of scheduling policies and the number of lost cells under PushOut mechanism.