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Summary: On Two Dimensional Packing \Lambda
Yossi Azar y Leah Epstein z
April 29, 1996
Abstract
The paper considers packing of rectangles into an infinite bin. Similar to the Tetris
game, the rectangles arrive from the top and, once placed, cannot be moved again. The
rectangles are moved inside the bin to reach their place. For the case in which rotations
are allowed, we design an algorithm whose performance ratio is constant. In contrast,
if rotations are not allowed, we show that no algorithm of constant ratio exists. For
this case we design an algorithm with performance ratio of O(log 1
ffl
), where ffl is the
minimum width of any rectangle. We also show that no algorithm can achieve a better
ratio
than\Omega\Gamma
q
log 1
ffl
) for this case.
1 Introduction
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