Задача целочисленного сбалансирования трехмерной матрицы и алгоритмы ее решения

The article is devoted to the problem of integer-valued balancing of a three-dimensional matrix. The reduction of this problem to the problem of finding a maximum flow in the multiple network of integer-valued balancing and the algorithm for this problem are suggested. Also, the comparative characte...

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Bibliographic Details
Main Authors: V. S. Roublev, A. V. Smirnov
Format: Article
Language:English
Published: Yaroslavl State University 2010-06-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1030
Description
Summary:The article is devoted to the problem of integer-valued balancing of a three-dimensional matrix. The reduction of this problem to the problem of finding a maximum flow in the multiple network of integer-valued balancing and the algorithm for this problem are suggested. Also, the comparative characteristic of two algorithms of integer-valued bal¬ancing is made according to the results of the computing experiments. NP-completeness of the problem of integer-valued balancing of a three-dimensional matrix is proved in the article. The problem of minimization of the errors of rounding off in the problem of integer-valued balancing is explored.
ISSN:1818-1015
2313-5417