A hybrid algorithm for the two-dimensional layout problem: the cases of regular and irregular shapes

A hybrid algorithm for the two-dimensional layout problem: the cases of regular and irregular shapes

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Article ID: iaor20042666
Country: United Kingdom
Volume: 10
Issue: 3
Start Page Number: 195
End Page Number: 216
Publication Date: May 2003
Journal: International Transactions in Operational Research
Authors: ,
Keywords: facilities
Abstract:

The two-dimensional layout (TDL) optimization problem consists of finding the minimal length layout of a set of both regular and irregular two-dimensional shapes on a stock sheet of finite width but infinite length. The layout should not contain any overlap. In this paper, we solve the TDL problem by proposing two approximate algorithms. The first one is a new heuristic based on a constructive approach specifically designed for irregular shapes, but that works well with regular ones. The second is a hybrid method in which the constructive approach displays the layouts corresponding to the chromosomes yielded by the genetic algorithm. The resulting algorithm yields satisfactory results in relatively short computational times as shown by the extensive computational testing on problems from the literature.

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