Optimal packing of convex polytopes using quasi-phi-functions

• Datum: 2015
• Hauptverfasser: Pankratov, A. V., Romanova, T. E., Chugay, A. M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2015
• Schlagworte: packing; polytopes; continuous rotations; non-overlapping; allowable distances; quasi-phi-functions; mathematical model; non-linear optimization; УДК 519.859
• Online Zugang: https://journals.uran.ua/jme/article/view/46687
• Назва журналу: 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...