Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, August 18, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Mutsunori Yagiura (Kyoto University)

Exact Algorithms for Two-Dimensional Strip Packing Problems

We examine various strategies for exact approaches to the 2-dimensional strip packing problem (2SP) with and without rotations. We first develop branch-and-bound algorithms based on sequence-pair representation. We then consider the perfect packing problem (PP), which is a special case of 2SP in that it calls for a packing of given rectangles without wasted space, and propose new branching rules and bounding operations in branch-and-bound algorithms for PP. Computational results on benchmark instances with up to 30 rectangles discloses that one of these rules is very effective especially for feasible instances of PP.

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