Algebraic solutions to multidimensional minimax location problems with Chebyshev distance
Optimization and Control
2012-12-27 v1 Discrete Mathematics
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.
Cite
@article{arxiv.1212.6085,
title = {Algebraic solutions to multidimensional minimax location problems with Chebyshev distance},
author = {Nikolai Krivulin},
journal= {arXiv preprint arXiv:1212.6085},
year = {2012}
}
Comments
International Conference on Applied and Computational Mathematics (ICACM'11), Lanzarote, Canary Islands, Spain, May 27-29, 2011, WSEAS Press. ISBN 978-1-61804-002-2