Optimal packing of convex polytopes using quasi-phi-functions

• Date: 2015
• Main Authors: Pankratov, A. V., Romanova, T. E., Chugay, A. M.
• Format: Article
• Language: English
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2015
• Subjects: packing; polytopes; continuous rotations; non-overlapping; allowable distances; quasi-phi-functions; mathematical model; non-linear optimization; УДК 519.859
• Online Access: https://journals.uran.ua/jme/article/view/46687
• Journal Title: Journal of Mechanical Engineering

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 radical free quasi...