Proofs for some conjectures of Rajaratnam and Takawira

Erik A. van Doorn, A.T.K. Ta

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    The purpose of this note is to supplement a recent paper by Rajaratnam and Takawira (IEEE Trans. Vehicular Technol.(2000) 817-834), which deals with a model for the performance analysis of cellular mobile networks. We show that the key performance quantity may be obtained by evaluating an explicit formula rather than by solving a set of equations. This result enables us to verify some conjectures formulated by Rajaratnam and Takawira on the basis of numerical experiments. We also show uniqueness of the solution to a system of nonlinear equations, required in the performance analysis, as conjectured by Rajaratnam and Takawira.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages11
    Publication statusPublished - 2002

    Publication series

    NameMemorandum Faculty of Mathematical Sciences
    PublisherUniversity of Twente, Department of Applied Mathematics
    ISSN (Print)0169-2690


    • MSC-68M20
    • MSC-90B22
    • IR-65829
    • EWI-3463
    • METIS-206711
    • MSC-60K25

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