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Packing convex homothetic polytopes into a cuboid

Packing convex homothetic polytopes into a cuboid

This paper deals with the optimization problem of packing a given set of homothetical arbitrarily oriented convex polytopes without their overlapping in a linear parallelepiped of minimal volume. Phi-functions are proposed to be used as a constructive means of the mathematical modeling of a given pr...

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Bibliographic Details
Main Authors: Stoyan, Yu. G., Chugay, A. M.
Format: Article
Language:English
Ukrainian
Published: Journal of Mechanical Engineering 2018
Subjects:
packing
homothetic polytopes
rotations
optimization
phi-functions
UDC 519.85
упаковка
гомотетичные многогранники
вращение
оптимизация
Ф-функции
УДК 519.85
пакування
гомотетичні багатогранники
обертання
оптимізація
Ф-функції
Online Access:https://journals.uran.ua/jme/article/view/135431
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https://journals.uran.ua/jme/article/view/135431

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