Optimal Rectangle Packing: A Meta-CSP Approach

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Optimal Rectangle Packing: A Meta-CSP Approach
We present a new approach to optimal rectangle packing, an NP-complete problem that can be used to model many simple scheduling tasks. Recent attempts at incorporating artificial intelligence search techniques to the problem of rectangle packing have focused on a CSP formulation, in which partial assignments are defined to be the fixed placement of a subset of rectangles. Our technique takes a significant departure from this search space, as we instead view partial assignments as subsets of relative pairwise relationships between rectangles. This approach recalls the meta-CSP commonly constructed in constraint-based temporal reasoning, and is thus a candidate for several pruning techniques that have been developed in that field. We apply these to the domain of rectangle packing, and develop a suite of new techniques that exploit both the symmetry and geometry present in this particular domain. We then provide experimental results demonstrating that our approach performs competitively ...
Michael D. Moffitt, Martha E. Pollack
Added 30 Oct 2010
Updated 30 Oct 2010
Type Conference
Year 2006
Where AIPS
Authors Michael D. Moffitt, Martha E. Pollack
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