多连通域上不等球面的优化填充:混合整数非线性规划方法

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS
Y. Stoyan, G. Yaskov
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引用次数: 3

摘要

研究了不等球在多连通域(容器)内的填充问题。给定一组球体,目标是最大化填充系数。将该问题视为背包问题,并将其建模为混合整数非线性规划。指出了该模型的特点。将分支定界法与已知的局部优化方法相结合,提出了一种新的求解方法。搜索过程由树表示,允许处理所有可能的球子集。我们开发了一套截断规则来减少待测变量的数量。局部优化算法基于球体半径可变的假设。给出了一些数值例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimized packing unequal spheres into a multiconnected domain: mixed-integer non-linear programming approach
The problem of packing unequal spheres into a multiconnected domain (container) is considered. Given a set of spheres, the objective is to maximize the packing factor. The problem is considered as a knapsack problem and modelled as a mixed-integer non-linear programming. Characteristics of the model are indicated. We propose a new solution method based on a combination of a branch-and-bound approach and the known local optimization method. The search procedure is represented by a tree which allows handling all possible subsets of spheres. We develop a set of truncation rules to reduce the number of variants under test. The local optimization algorithm proceeds from the assumption of spheres radii being variable. A number of numerical examples are given.
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来源期刊
International Journal of Computer Mathematics: Computer Systems Theory
International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics
CiteScore
1.80
自引率
0.00%
发文量
11
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