Abstract
We consider a 2D packing problem in which a collection of rectangular objects have to be arranged within a larger rectangular area of fixed width, such that its height is minimized. This problem is tackled using evolutionary algorithms that combine permutational decoders and GRASP-based principles. It is shown that this approach can be improved by allowing the user interact with the algorithm, tuning the greediness of the genotype-to-phenotype decoding. Experiments are presented on three different problem instances with sizes ranging from 19 up to 49 objects.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Dyckhoff, H.: A typology of cutting and packing problems. European Journal of Operational Research 44, 145–159 (1990)
Hopper, E., Turton, B.: An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem. European Journal of Operational Research 128, 34–57 (2001)
Cieliebak, M., Hall, A., Jacob, R., Nunkesser, M.: Sequential vector packing. Theoretical Computer Science 409(3), 351–363 (2008)
Hopper, E., Turton, B.: A review of the application of meta-heuristic algorithms to 2d regular and irregular strip packing problems. Artificial Intelligence Review 16, 257–300 (2001)
Hart, W.E., Belew, R.K.: Optimizing an arbitrary function is hard for the genetic algorithm. In: Belew, R.K., Booker, L.B. (eds.) Proceedings of the 4th International Conference on Genetic Algorithms, pp. 190–195. Morgan Kaufmann, San Mateo (1991)
Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)
Davis, L.D.: Handbook of Genetic Algorithms. Van Nostrand Reinhold Computer Library, New York (1991)
Cotta, C., Fernández, A.J.: A hybrid GRASP – evolutionary algorithm approach to golomb ruler search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 481–490. Springer, Heidelberg (2004)
Banzhaf, W.: Interactive evolution. In: Back, T., Fogel, D., Michalewicz, Z. (eds.) Evolutionary Computation. Basic Algorithms and Operators, pp. 228–234. IoP, Bristol (2000)
Takagi, H.: Interactive evolutionary computation: Fusion of the capabilities of EC optimization and human evaluation. Proceedings of the IEEE (9), 1275–1296 (2001)
Parmee, I.C., Abraham, J.A.R., Machwe, A.: User-centric evolutionary computing: Melding human and machine capability to satisfy multiple criteria. In: Knowles, J., Corne, D., Deb, K., Chair, D.R. (eds.) Multiobjective Problem Solving from Nature. Natural Computing Series, pp. 263–283. Springer, Heidelberg (2008)
Hwang, I.: An efficient processor allocation algorithm using two-dimensional packing. Journal of Parallel and Distributed Computing 42(1), 75–81 (1997)
Burke, E., Kendall, G.: Comparison of meta-heuristic algorithms for clustering rectangles. Computers & Industrial Engineering 37(1-2), 383–386 (1999)
Falkenauer, E.: Genetic Algorithms and Grouping Problems. J. Wiley & Sons, Chichester (1998)
Chazelle, B.: The bottom left bin packing heuristic: an efficient implementation. IEEE Transactions on Computers 32, 697–707 (1983)
Burke, E., Kendall, G., Whitwell, G.: A new placement heuristic for the orthogonal stock-cutting problem. Operations Research 52, 697–707 (2004)
Alvarez-Valdes, R., Parreno, F., Tamarit, J.: Reactive grasp for the strip-packing problem. Computers & Operations Research 35(4), 1065–1083 (2008)
Feo, T., Resende, M.: Greedy randomized adaptive search procedures. Journal of Global Optimization 6, 109–133 (1995)
Prais, M., Ribeiro, C.: Reactive GRASP: an application to a matrix decomposition problem in TDMA traffic assignment. INFORMS Journal on Computing 12, 164–176 (2000)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer, Berlin (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Espinar, J., Cotta, C., Fernández Leiva, A.J. (2011). On the Use of Human-Guided Evolutionary Algorithms for Tackling 2D Packing Problems. In: Ferrández, J.M., Álvarez Sánchez, J.R., de la Paz, F., Toledo, F.J. (eds) Foundations on Natural and Artificial Computation. IWINAC 2011. Lecture Notes in Computer Science, vol 6686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21344-1_37
Download citation
DOI: https://doi.org/10.1007/978-3-642-21344-1_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21343-4
Online ISBN: 978-3-642-21344-1
eBook Packages: Computer ScienceComputer Science (R0)