Packing Oblique 3D Objects

Packing irregular 3D objects in a cuboid of minimum volume is considered. Each object is composed of a number of convex shapes, such as oblique and right circular cylinders, cones and truncated cones. New analytical tools are introduced to state placement constraints for oblique shapes. Using the ph...

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Bibliographic Details
Main Authors: Pankratov, Alexander, Romanova, Tatiana, Litvinchev, Igor
Format: Article
Language:English
Published: Molecular Diversity Preservation International 2020
Subjects:
Online Access:http://eprints.uanl.mx/23338/1/23338.pdf
Description
Summary:Packing irregular 3D objects in a cuboid of minimum volume is considered. Each object is composed of a number of convex shapes, such as oblique and right circular cylinders, cones and truncated cones. New analytical tools are introduced to state placement constraints for oblique shapes. Using the phi-function technique, optimized packing is reduced to a nonlinear programming problem. Novel solution approach is provided and illustrated by numerical examples.