A parallel multi-population genetic algorithm for a constrained two-dimensional orthogonal packing problem

José Fernando Gonçalves () and Mauricio G. C. Resende ()
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José Fernando Gonçalves: Faculdade de Economia do Porto
Mauricio G. C. Resende: AT&T Labs Research

Journal of Combinatorial Optimization, 2011, vol. 22, issue 2, No 5, 180-201

Abstract: Abstract This paper addresses a constrained two-dimensional (2D), non-guillotine restricted, packing problem, where a fixed set of small rectangles has to be placed into a larger stock rectangle so as to maximize the value of the rectangles packed. The algorithm we propose hybridizes a novel placement procedure with a genetic algorithm based on random keys. We propose also a new fitness function to drive the optimization. The approach is tested on a set of instances taken from the literature and compared with other approaches. The experimental results validate the quality of the solutions and the effectiveness of the proposed algorithm.

Keywords: Packing; Cutting; Two-dimensional packing; Two-dimensional cutting; Non-guillotine cutting; Genetic algorithm (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10878-009-9282-1

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