LRI, Bât. 490, Université Paris XI
91405 ORSAY, France.
- Eric Rémila
Grima, IUT Roanne (Université J. Monnet)
20 avenue de Paris, 42334 Roanne, France.
LIP, ENS-Lyon, CNRS URA 1398,
46, allée d'Italie, 69364 Lyon Cedex 07, France.
We present an asymptotic fully polynomial approximation scheme for strip-packing, or packing rectangles into a rectangle of fixed width and minimum height, a classical NP-hard cutting-stock problem. Given any e, The algorithm, based on a reduction to fractional bin-packing, finds a packing of n rectangles whose total height is within a factor of 1+e of optimal (up to an additive term), and has running time polynomial both in n and in 1/e.
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