Abstract
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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Work performed while the author was visiting the Department of Systems Engineering of the University of Pennsylvania, Philadelphia, USA.
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Nain, P. Qualitative properties of the Erlang blocking model with heterogeneous user requirements. Queueing Syst 6, 189–206 (1990). https://doi.org/10.1007/BF02411473
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DOI: https://doi.org/10.1007/BF02411473