The nesting problems have received considerable attention and have been addressed by a variety of algorithms. Recently, evolutionary algorithms have been adopted for solutions. Most of these algorithms, however, require a search in one-dimensional space; thus a transformation of the problem to a single dimension, as in the sequencing problems, is needed. Unfortunately, this restricts the search space. In this study an object-based evolutionary algorithm for the nesting problems is proposed. The methodology is created in a true two-dimensional space, allowing object-based mechanisms and object-based evolutionary operators to perform effectively on the space without restricting search alternatives. Implementation of the algorithm is conducted using grid representation where no overlapping is allowed. Layout simulation/animation over generations shows the continual improvement by this method. Experimental results of packing density on rectangular and irregular versions of the nesting problem are up to 94.41% and 82.34%, respectively. For industrial-size data, five hundred and forty-three pieces are tested. The final packing density is 74.89%
K. Ratanapan and C. H. Dagli, "An Object-Based Evolutionary Algorithm: The Nesting Solution," Proceedings of the 1998 IEEE International Conference on Evolutionary Computation Proceedings, 1998 (IEEE World Congress on Computational Intelligence), Institute of Electrical and Electronics Engineers (IEEE), Jan 1998.
The definitive version is available at https://doi.org/10.1109/ICEC.1998.700093
1998 IEEE International Conference on Evolutionary Computation Proceedings, 1998 (IEEE World Congress on Computational Intelligence)
Engineering Management and Systems Engineering
Keywords and Phrases
Genetic Algorithms; Nesting Solution; Object-Based Evolutionary Algorithm; Object-Based Evolutionary Operators; Object-Based Mechanisms; Object-Oriented Programming; Operations Research; Search Alternatives; Sequencing Problems
Article - Conference proceedings
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