On rectangle packing: maximizing benefits

  title={On rectangle packing: maximizing benefits},
  author={Klaus Jansen and Guochuan Zhang},
We consider the following rectangle packing problem: Given a set of rectangles, each of which is associated with a profit, we are requested to pack a subset of the rectangles into a bigger rectangle to maximize the total profit of rectangles packed. The rectangles may not overlap and may or may not be rotated. This problem is strongly NP-hard even for packing squares with identical profits. A simple (3 + ε)-approximation algorithm is presented. We further improve the algorithm by showing a… CONTINUE READING

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