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: Energy Technologies & Resource Saving

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...