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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.
|Title of host publication||Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011|
|Publisher||WSEAS - World Scientific and Engineering Academy and Society|
|Pages||195 стр., 157-162|
|Publication status||Published - 2011|
Николай Кимович Кривулин (Participant)27 May 2011 → 29 May 2011
Николай Кимович Кривулин (Speaker)28 May 2011