Abstract
We propose a multi-chromosome genetic coding and set-based genetic operators for solving bin packing problem using genetic algorithm. A heuristic called better-fit is proposed, in which a left-out object replaces an existing object from a bin if it can fill the bin better. Performance of the genetic algorithm augmented with the better-fit heuristic has been compared with that of hybrid grouping genetic algorithm (HGGA). Our method has provided optimal solutions at highly reduced computational time for the benchmark uniform problem instances used. The better-fit heuristic is more effective compared to the best-fit heuristic when combined with the coding.
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References
Beasley, J.E.: OR-Library: Distributing test problems by electronic mail. Journal of Operational Research Society 41(11), 1069–1072 (1990)
Coffman Jr, E.G., Galambos, G., Martello, S., Vigo, D.: Bin packing approximation algorithms: combinatorial analysis. In: Du, D.-Z., Pardalos, P. (eds.) Handbook of Combinatorial Optimization. Kluwer Academic Publishers, Dordrecht (1998)
Eiben, A.E., Hinterding, R., Michalewicz, Z.: Parameter control in evolutionary algorithms. IEEE Transactions on Evolutionary Computation 3(2), 124–141 (1999)
Falkenauer, E.: A hybrid genetic algorithm for bin packing. Journal of Heuristics 2(1), 5–30 (1996)
Falkenauer, E.: Genetic Algorithms and Grouping Problems. John Wiley & Sons, Chichester (1998)
Falkenauer, E., Delchambre, A.: A genetic algorithm for bin packing and line balancing. In: Proc. IEEE Int. Conf. on Robotics and Automation, France, pp. 1186–1192 (1992)
Fekete, S.P., Schepers, J.: New classes of fast lower bounds for bin packing problem. Mathematical Programming Series A 91(1), 11–31 (2001)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley, Reading (1989)
Martello, S., Toth, P.: Lower bounds and reduction procedures for the bin packing problem. Discrete Applied Mathematics 28, 59–70 (1990)
Reeves, C.: Hybrid genetic algorithms for bin-packing and related problems. Annals of Operations Research 63, 371–396 (1996)
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© 2004 Springer-Verlag Berlin Heidelberg
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Bhatia, A.K., Basu, S.K. (2004). Packing Bins Using Multi-chromosomal Genetic Representation and Better-Fit Heuristic. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds) Neural Information Processing. ICONIP 2004. Lecture Notes in Computer Science, vol 3316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30499-9_26
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DOI: https://doi.org/10.1007/978-3-540-30499-9_26
Publisher Name: Springer, Berlin, Heidelberg
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