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Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. / Krivulin, Nikolai.

Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011. WSEAS - World Scientific and Engineering Academy and Society, 2011. p. 195 стр., 157-162.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research

Harvard

Krivulin, N 2011, Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. in Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011. WSEAS - World Scientific and Engineering Academy and Society, pp. 195 стр., 157-162. <http://www.wseas.us/e-library/conferences/2011/Lanzarote/MATH/MATH-22.pdf>

APA

Krivulin, N. (2011). Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. In Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011 (pp. 195 стр., 157-162). WSEAS - World Scientific and Engineering Academy and Society. http://www.wseas.us/e-library/conferences/2011/Lanzarote/MATH/MATH-22.pdf

Vancouver

Krivulin N. Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. In Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011. WSEAS - World Scientific and Engineering Academy and Society. 2011. p. 195 стр., 157-162

Author

Krivulin, Nikolai. / Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011. WSEAS - World Scientific and Engineering Academy and Society, 2011. pp. 195 стр., 157-162

BibTeX

@inbook{79f43940dc86425081e3d753da5cfd48,
title = "Algebraic solutions to multidimensional minimax location problems with Chebyshev distance",
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.",
keywords = "single facility location problem, Chebyshev distance, idempotent semifield, eigenvalue, eigenvector",
author = "Nikolai Krivulin",
year = "2011",
language = "English",
isbn = "978-1-61804-002-2",
pages = "195 стр., 157--162",
booktitle = "Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM{\textquoteright}11), Lanzarote, Canary Islands, Spain, May 27-29, 2011",
publisher = "WSEAS - World Scientific and Engineering Academy and Society",

}

RIS

TY - CHAP

T1 - Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

AU - Krivulin, Nikolai

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - single facility location problem

KW - Chebyshev distance

KW - idempotent semifield

KW - eigenvalue

KW - eigenvector

M3 - Chapter

SN - 978-1-61804-002-2

SP - 195 стр., 157-162

BT - Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011

PB - WSEAS - World Scientific and Engineering Academy and Society

ER -

ID: 4409183