Optimal packing of convex polytopes using quasi-phi-functions

• Published in: Проблемы машиностроения
• Date: 2015
• Main Authors: Pankratov, A.V., Romanova, T.E., Chugay, A.M.
• Format: Article
• Language: English
• Published: Інстиут проблем машинобудування ім. А.М. Підгорного НАН України 2015
• Subjects: Прикладная математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/99180
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Optimal packing of convex polytopes using quasi-phi-functions / A.V. Pankratov, T.E. Romanova, A.M. Chugay // Проблемы машиностроения. — 2015. — Т. 18, № 2. — С. 55-65. — Бібліогр.: 27 назв. — англ.

We study a packing problem of a given collection of convex polytopes into a rectangular container of minimal
 volume. Continuous rotations and translations of polytopes are allowed. In addition a given minimal allowable
 distances between polytopes are taking into account. We employ...