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Математика Математика
Основы математического анализа и элементы дифференциальных уравнений Основы математического анализа и элементы дифференциальных уравнений

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Contributions to the Minimum Linear Arrangement Problem. On a Binary Distance Model for the Minimum Linear Arrangement Problem

Автор:   Hanna S.
мягкая обложка
160 страниц
2010 год
Издательство:   Книга по Требованию
Цена:
3212 руб
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Описание:To the study of the theoretical aspects concerning the Minimum Linear Arrangement problem, we contribute a characterization of a relaxation of the corresponding polyeder. We present formulations for complete and for sparse graphs and explain the realization of a branch-and-cut-and-price algorithm. Furthermore, its different settings are discussed and evaluated. The Minimum Linear Arrangement problem consists in finding an ordering of the nodes of a weighted graph, such that the sum of the weighted edge lengths is minimized. The key idea is to introduce binary variables d_{ijk}, that are equal to 1 if nodes i and j have distance k in the permutation. We report on the usefulness of a new model within a branch-and-cut-and-price algorithm for solving Minimum Linear Arrangement problems to optimality.


Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка

2990 руб
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What the Dog Saw: And Other Adventures

The problem was that the picture Air Force officers had of their target didnБЂ™t tell them what they really needed to know. The Germans, it emerged, had ample stockpiles of ball bearings. They also had no difficulty increasing their imports from Sweden and Switzerland, and, through a few simple design changes, they were able to greatly reduce their need for ball bearings in aircraft production. WhatБЂ™s more, although the factory buildings were badly damaged by the bombing, the machinery inside wasnБЂ™t. Ball-bearing equipment turned out to be surprisingly hardy. БЂњAs it was, not a tank, plane, or other piece of weaponry failed to be produced because of lack of ball bearings,БЂ« Albert Speer, the Nazi production chief, wrote after the war. Seeing a problem and understanding it, then, are two different things. In recent years, with the rise of highly accurate long-distance weaponry, the Schweinfurt problem has become even more acute. If you can aim at and hit the kitchen at the back of a house, after all, you donБЂ™t have to bomb the whole building ...»

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