Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Research output

5 Citations (Scopus)

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.
Original languageEnglish
Title of host publicationRecent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011
PublisherWSEAS - World Scientific and Engineering Academy and Society
Pages195 стр., 157-162
ISBN (Print)978-1-61804-002-2
Publication statusPublished - 2011

Fingerprint Dive into the research topics of 'Algebraic solutions to multidimensional minimax location problems with Chebyshev distance'. Together they form a unique fingerprint.

Cite this