A Multi-sphere Scheme for 2D and 3D Packing Problems
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In this paper, we deal with a packing problem that asks to place a given set of objects such as non-convex polytopes compactly in ℝ2 and ℝ3, where we treat translation, rotation and deformation as possible motions of each object. We propose a multi-sphere scheme that approximates each object with a set of spheres to find a compact layout of the original objects. We focus on the case that all objects are rigid, and develop an efficient local search algorithm based on a nonlinear program formulation.
Keywordspacking problem multi-sphere scheme iterated local search unconstrained nonlinear program
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