Packing non-equal hyperspheres into a hypersphere of minimal radius

• Date: 2014
• Main Author: Yaskov, G. N.
• Format: Article
• Language: English
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2014
• Subjects: hypersphere; packing; mathematical modeling; jump algorithm; UDC 519.85
• Online Access: https://journals.uran.ua/jme/article/view/27174
• Journal Title: Journal of Mechanical Engineering

The problem of packing different hyperspheres into a hypersphere of minimal  radius is considered. All hypersphere radii are supposed to be variable. Solving the problem is reduced to solving a sequence of mathematical programming problems. A special way of construction of starting pointsis suggeste...