Qualitative properties of the Erlang blocking model with heterogeneous user requirements

We study the effect of increasing the model parameters (e.g., arrival rates and traffic intensities) in the Erlang blocking model with heterogeneous user requirements. First-order (monotonicity) and second-order (concavity) qualitative results are obtained for the performance measures of interest (loss probabilities, throughput, channel occupancy, etc.) both in the transient and in the steady-state cases. Stochastic and likelihood-ratio orderings together with coupling techniques are used to indicate the effect of modifying the model parameters.

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