An optimal algorithm for rectangle placement

نویسندگان

  • Patrick Healy
  • Marcus Creavin
  • Ago Kuusik
چکیده

In this paper we consider the problem of placing eeciently a rectangle in a two-dimensional layout that may not have the bottom-left placement property. This problem arises when we apply any one of a number of iterative improvement algorithms to the cutting stock problem or its variants. Chazelle has given an O(n)-time placement algorithm when the layout has the bottom-left property; we extend this result to the more general situation by presenting a (n log n)-time algorithm.

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عنوان ژورنال:
  • Oper. Res. Lett.

دوره 24  شماره 

صفحات  -

تاریخ انتشار 1999