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The Rectangular Packing Problem: Local Optimum Search Methods Based on Block Structures

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Abstract

Orthogonal packing of rectangles in a semi-infinite strip and its representation by block structures, which reduces the problem to a special linear cutting problem, are studied. Schemes for constructing local optimum search methods and deterministic and probabilistic algorithms are designed. The results of a numerical experiment corroborating the effectiveness of new methods are given.

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Mukhacheva, E.A., Mukhacheva, A.S. The Rectangular Packing Problem: Local Optimum Search Methods Based on Block Structures. Automation and Remote Control 65, 248–257 (2004). https://doi.org/10.1023/B:AURC.0000014721.38981.bb

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