Packing of convex polytopes into a parallelepiped

نویسندگان

  • Y. G. Stoyan
  • N. I. Gil
  • G. Scheithauer
  • A. Pankratov
چکیده

This paper deals with the problem of packing convex polytopes into a parallelepiped of minimal height. It is assumed that the polytopes are oriented, i. e. rotations are not permitted. A mathematical model of the problem is developed and peculiarities of them are addressed. Based on these peculiarities a method to compute local optimal solutions is constructed. Both an approximate and an exact method to search for local minima of the problem are discussed. The exact method is a special modification of the duel simplex method. Some examples are also given.

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تاریخ انتشار 2003