Solving the problem of optimal packing of homothetic ellipsoids into a container of minimal volume

• Date: 2016
• Main Author: Хлуд, О. М.
• Format: Article
• Language: Russian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2016
• Subjects: optimal packing; homothetic ellipsoids; phi-functions; starting point; non-overlapping; containment; nonlinear optimization; iterative procedure; LOFRT procedure; УДК 519.85
• Online Access: https://journals.uran.ua/jme/article/view/71880
• Journal Title: Journal of Mechanical Engineering

The paper studies the packing problem of homothetic the same oriented ellipsoids into a container of minimal volume. The container can be a rectangular parallelepiped or an ellipsoid. We formulate the model in the form of a nonlinear programming problem. To constract the non-overlapping and containm...