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Packing Identical Spheres into a Rectangular Parallelepiped

In: Intelligent Decision Support

Author

Listed:
  • Yuriy Stoyan

    (A.M. Pidgorny Institute for Mechanical Engineering Problems)

  • Georgiy Yaskov

    (A.M. Pidgorny Institute for Mechanical Engineering Problems)

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.

Suggested Citation

  • Yuriy Stoyan & Georgiy Yaskov, 2008. "Packing Identical Spheres into a Rectangular Parallelepiped," Springer Books, in: Andreas Bortfeldt & Jörg Homberger & Herbert Kopfer & Giselher Pankratz & Reinhard Strangmeier (ed.), Intelligent Decision Support, pages 47-67, Springer.
    • Handle: RePEc:spr:sprchp:978-3-8349-9777-7_4
    DOI: 10.1007/978-3-8349-9777-7_4
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    Cited by:

    1. Yuriy Stoyan & Georgiy Yaskov, 2012. "Packing congruent hyperspheres into a hypersphere," Journal of Global Optimization, Springer, vol. 52(4), pages 855-868, April.

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