Packing Identical Spheres into a Rectangular Parallelepiped

Yuriy Stoyan () and Georgiy Yaskov ()
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Yuriy Stoyan: A.M. Pidgorny Institute for Mechanical Engineering Problems
Georgiy Yaskov: A.M. Pidgorny Institute for Mechanical Engineering Problems

A chapter in Intelligent Decision Support, 2008, pp 47-67 from Springer

Abstract: Abstract The paper deals with the optimization problem of packing identical spheres into a rectangular parallelepiped of minimal height. A mathematical model of the problem is constructed and its peculiarities are considered. On the ground of the peculiarities a solution strategy is offered. The strategy includes a special search tree construction, a modification of the Zoutendijk method of feasible directions to calculate local minima, and a modification of the decremental neighborhood method to search for an approximation to the global minimum. Numerical examples and performance analysis of solutions are given.

Keywords: Packing; sphere; parallelepiped; optimization; modeling (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-8349-9777-7_4

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DOI: 10.1007/978-3-8349-9777-7_4

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