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.
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页码：296 / 304
页数：8
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