Presentation 2005-04-18
Exact Algorithms for Two-Dimensional Strip Packing Problems
Mitsutoshi KENMOCHI, Takashi IMAMICHI, Koji NONOBE, Mutsunori YAGIURA, Hiroshi NAGAMOCHI,
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Abstract(in English) 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 seqence-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. Computationed 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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Keyword(in English) strip packing / branch-and-bound / exact approach / perfect paking / sequence-pair
Paper # COMP2005-2
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Committee COMP
Conference Date 2005/4/11(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Exact Algorithms for Two-Dimensional Strip Packing Problems
Sub Title (in English)
Keyword(1) strip packing
Keyword(2) branch-and-bound
Keyword(3) exact approach
Keyword(4) perfect paking
Keyword(5) sequence-pair
1st Author's Name Mitsutoshi KENMOCHI
1st Author's Affiliation Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University()
2nd Author's Name Takashi IMAMICHI
2nd Author's Affiliation Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University
3rd Author's Name Koji NONOBE
3rd Author's Affiliation Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University
4th Author's Name Mutsunori YAGIURA
4th Author's Affiliation Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University
5th Author's Name Hiroshi NAGAMOCHI
5th Author's Affiliation Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University
Date 2005-04-18
Paper # COMP2005-2
Volume (vol) vol.105
Number (no) 7
Page pp.pp.-
#Pages 10
Date of Issue