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- W100499361 abstract "1 IntroductionWe present new Static Symmetry-Breaking Inequalities (SSBI) [11,6] for theproblem of packing equal circles in a square [9]. The new SSBIs provide amarked computational improvement with respect to past work [1], though notyet at the level where a purely Mathematical Programming (MP) based spatialBranch-and-Bound (sBB) can be competitive with a Branch-and-Bound (BB)“boosted” by combinatorial and geometrical devices such as [9]. We considerthe following formulation of Circle Packing in a Square (CPS) problem:given N ∈ N and L ∈ N, can N non-overlapping circles of unit radius be ar-ranged in a square of side 2L? This is equivalent to the more usual formulationwhere one maximizes the number of non-overlapping circles of unit radius in asquare of side 2L with L ∈ Q" @default.
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- W100499361 date "2010-01-01" @default.
- W100499361 modified "2023-09-24" @default.
- W100499361 title "Static symmetry breaking in circle packing" @default.
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