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Packing Oblique 3D Objects

Alexander Pankratov, Tatiana Romanova, Igor Litvinchev

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Source: Crossref

Published: Jul 10, 2020

DOI: 10.3390/math8071130

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Source abstract

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.

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Packing Oblique 3D Objects — Mathematical Frontier Network