Proofs for some conjectures of Rajaratnam and Takawira


Doorn van, E.A. and Kieu, A.T.T. (2002) Proofs for some conjectures of Rajaratnam and Takawira. [Report]

Abstract: The purpose of this note is to supplement a recent paper by Rajaratnam and Takawira ({\it IEEE Trans. Vehicular Technol.} {\bf 49} (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.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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