Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Nikolai Krivulin

Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Nikolai Krivulin

Кафедра статистического моделирования

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная

5 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Название основной публикации	Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011
Издатель	WSEAS - World Scientific and Engineering Academy and Society
Страницы	195 стр., 157-162
ISBN (печатное издание)	978-1-61804-002-2
Состояние	Опубликовано - 2011

Доступ к документу

http://www.wseas.us/e-library/conferences/2011/Lanzarote/MATH/MATH-22.pdf

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1 Участие в конференции, заседании рабочей группы, ...
1 выступление с устной презентацией

International Conference on Applied and Computational Mathematics
Николай Кимович Кривулин (Участник)
27 мая 2011 → 29 мая 2011
Деятельность: Участие в мероприятиях или организация мероприятий (событий) › Участие в конференции, заседании рабочей группы, ...
Algebraic solutions to multidimensional minimax location problems with Chebyshev distance
Николай Кимович Кривулин (Докладчик)
28 мая 2011
Деятельность: выступление › выступление с устной презентацией

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Krivulin, N. (2011). Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. В Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011 (стр. 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

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. стр. 195 стр., 157-162

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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",

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Krivulin, N 2011, Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. в 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, стр. 195 стр., 157-162. <http://www.wseas.us/e-library/conferences/2011/Lanzarote/MATH/MATH-22.pdf>

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. стр. 195 стр., 157-162.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная

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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

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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

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Krivulin N. Algebraic solutions to multidimensional minimax location problems with Chebyshev distance. В 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. стр. 195 стр., 157-162

Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Аннотация

Доступ к документу

Fingerprint

Виды деятельности

International Conference on Applied and Computational Mathematics

Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Цитировать