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Algebraic solutions to multidimensional minimax location problems with Chebyshev distance (1212.6085v1)
Published 25 Dec 2012 in math.OC and cs.DM
Abstract: Multidimensional minimax single facility location problems with Chebyshev distance are examined within the framework of idempotent algebra. A new algebraic solution based on an extremal property of the eigenvalues of irreducible matrices is given. The solution reduces both unconstrained and constrained location problems to evaluation of the eigenvalue and eigenvectors of an appropriate matrix.