Irregular packing: MILP model based on a polygonal enclosure

被引:0
|
作者
Miguel Cezar Santoro
Felipe Kesrouani Lemos
机构
[1] Escola Politécnica/Universidade de São Paulo,
来源
关键词
Strip packing; Polygonal packing; Two-dimensional packing; Mixed integer-linear programming; Disjunctive formulation; Nesting; Cutting and packing;
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学科分类号
摘要
This paper addresses the two-dimensional irregular packing problem, also known as the nesting problem. This is a subset of cutting and packing problems of renowned practical and theoretical relevance. A mixed integer-linear programming formulation is proposed to optimize the packing of particular polygonal shapes, convex forms with 3–8 sides, since their opposite sides are parallel. The model can be used to pack enclosures of general irregular shapes, generating upper bounds to the optimal solutions. The model was tested with 270 mass generated instances of small dimensions.
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页码:693 / 707
页数:14
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