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Qualitative properties of the Erlang blocking model with heterogeneous user requirements

Abstract : We study the effect of increasing the model parameters (e.g. arrival rates and traffic intensities) in the Erlang blocking model with heterogenous 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 case. Stochastic and likelihood-ratio orderings together with coupling techniques are used to indicate the effect of modifying the model parameters.
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https://hal.inria.fr/inria-00075540
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Submitted on : Wednesday, May 24, 2006 - 6:26:01 PM
Last modification on : Friday, February 4, 2022 - 3:16:26 AM
Long-term archiving on: : Friday, May 13, 2011 - 12:54:55 PM

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  • HAL Id : inria-00075540, version 1

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Philippe Nain. Qualitative properties of the Erlang blocking model with heterogeneous user requirements. [Research Report] RR-1018, INRIA. 1989. ⟨inria-00075540⟩

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