Methodology to Solve Optimal Placement Problems for 3D Objects

• Date: 2025
• Main Authors: Chuhai, Andrii M., Stoian, Yurii H.
• Format: Article
• Language: English; Ukrainian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2025
• Subjects: packing; 3D objects; geometric design; phi-functions; mathematical modeling; continuous rotations; nonlinear optimization; UDC 519.85
• Online Access: https://journals.uran.ua/jme/article/view/206729
• Journal Title: Journal of Mechanical Engineering

This paper is devoted to solving optimization problems of packing 3D objects both by constructing exact mathematical models and by developing approaches based on the application of non-linear optimization methods and modern solvers. Developed are constructive tools for both mathematical and computer...