Algebraic solution to a constrained rectilinear minimax location problem on the plane

Nikolai Krivulin

doi:10.1109/ICMT.2011.6002526

Algebraic solution to a constrained rectilinear minimax location problem on the plane

Nikolai Krivulin

Кафедра статистического моделирования

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

7 Цитирования (Scopus)

Аннотация

We consider a constrained minimax single facility location problem on the plane with rectilinear distance. The feasible set of location points is restricted to rectangles with sides oriented at a 45 degrees angle to the axes of Cartesian coordinates. To solve the problem, an algebraic approach based on an extremal property of eigenvalues of irreducible matrices in idempotent algebra is applied. A new algebraic solution is given that reduces the problem to finding eigenvalues and eigenvectors of appropriately defined matrices.

Язык оригинала	английский
Название основной публикации	2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 26-28, 2011, Hangzhou, China, IEEE Proceedings
Издатель	Institute of Electrical and Electronics Engineers Inc.
Страницы	6716 стр., 6216-6220
ISBN (печатное издание)	978-1-61284-773-3
DOI	https://doi.org/10.1109/ICMT.2011.6002526
Состояние	Опубликовано - 2011

Доступ к документу

10.1109/ICMT.2011.6002526

http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6002526

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Algebraic solution to a constrained rectilinear minimax location problem on the plane
Николай Кимович Кривулин (Докладчик)
27 июл 2011
Деятельность: выступление › выступление с устной презентацией
2nd International Conference on Multimedia Technology
Николай Кимович Кривулин (Участник)
26 июл 2011 → 28 июл 2011
Деятельность: Участие в мероприятиях или организация мероприятий (событий) › Участие в конференции, заседании рабочей группы, ...

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Krivulin, N. (2011). Algebraic solution to a constrained rectilinear minimax location problem on the plane. В 2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 26-28, 2011, Hangzhou, China, IEEE Proceedings (стр. 6716 стр., 6216-6220). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMT.2011.6002526

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Algebraic solution to a constrained rectilinear minimax location problem on the plane. / Krivulin, Nikolai.

2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 26-28, 2011, Hangzhou, China, IEEE Proceedings. Institute of Electrical and Electronics Engineers Inc., 2011. стр. 6716 стр., 6216-6220.

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

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Algebraic solution to a constrained rectilinear minimax location problem on the plane

Аннотация

Доступ к документу

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Виды деятельности

Algebraic solution to a constrained rectilinear minimax location problem on the plane

2nd International Conference on Multimedia Technology

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