Packing Different Cuboids with Rotations and Spheres into a Cuboid
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-10
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Economics & Business Administration
Business Administration
Abstract EN
The paper considers a packing optimization problem of different spheres and cuboids into a cuboid of the minimal height.
Translations and continuous rotations of cuboids are allowed.
In the paper, we offer a way of construction of special functions (Φ-functions) describing how rotations can be dealt with.
These functions permit us to construct the mathematical model of the problem as a classical mathematical programming problem.
Basic characteristics of the mathematical model are investigated.
When solving the problem, the characteristics allow us to apply a number of original and state-of-the-art efficient methods of local and global optimization.
Numerical examples of packing from 20 to 300 geometric objects are given.
American Psychological Association (APA)
Stoyan, Y. G.& Chugay, A. M.. 2014. Packing Different Cuboids with Rotations and Spheres into a Cuboid. Advances in Decision Sciences،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-481699
Modern Language Association (MLA)
Stoyan, Y. G.& Chugay, A. M.. Packing Different Cuboids with Rotations and Spheres into a Cuboid. Advances in Decision Sciences No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-481699
American Medical Association (AMA)
Stoyan, Y. G.& Chugay, A. M.. Packing Different Cuboids with Rotations and Spheres into a Cuboid. Advances in Decision Sciences. 2014. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-481699
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481699
