Modeling Close Packing of 3D Objects

被引：4

作者：

Stoyan Y.G. ^{[1
]}

Semkin V.V. ^{[1
]}

Chugay A.M. ^{[1
]}

机构：

[1] A. N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, Kharkiv

来源：

Cybernetics and Systems Analysis | 2016年 / 52卷 / 2期

关键词：

convex three-dimensional objects; mathematical modeling; optimization; packing; quasi; Φ-function; rotation; translation;

D O I：

10.1007/s10559-016-9826-1

中图分类号：

学科分类号：

摘要：

The paper represents the concept of Φ-functions and quasi Φ-functions as an efficient tool for mathematical modeling of three-dimensional packing problems for convex geometrical objects with continuous translations and rotations. A mathematical model of close packing of convex geometrical objects is formulated and its basic properties are considered. A solution method is proposed, which includes the following stages: constructing initial points, computing local extrema, and passing from one local minimum to another. The solution approach is efficient to solve optimization packing problems. Numerical examples are given. © 2016, Springer Science+Business Media New York.

引用

页码：296 / 304

页数：8

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