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.
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