1593. Optimal Packing of Irregular Objects Composed by Generalized Spheres
Invited abstract in session MD-21: 3D Packing, stream Cutting and packing (ESICUP).
Monday, 14:30-16:00Room: Esther Simpson 2.12
Authors (first author is the speaker)
| 1. | Andreas Fischer
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| Department of Mathematics, Technische Universität Dresden | |
| 2. | Igor Litvinchev
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| Universidad Autónoma de Nuevo León | |
| 3. | Tetyana Romanova
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| Leeds University Business School, University of Leeds | |
| 4. | Petro Stetsyuk
|
| V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine |
Abstract
For modeling the optimal packing of objects composed by generalized spheres, we present non-overlapping and containment conditions. A new composition condition enables translations, rotations and reflections of the irregular objects. The modeling is applicable to special problems, like balance, homothetic, or sparse packing. Different geometrical shapes can be created and treated in the same way through selecting a suitable norm, possibly obtained by the composition of norms. Illustrations for small probems demonstrate the potential of the approach.
Keywords
- Cutting and Packing
Status: accepted
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