Abstract
A genetic algorithm (GA) experiences premature convergence when the diversity is lost in the population. Adaptive GAs aim to maintain diversity in the population by trading off a balance between exploring the problem space and exploiting known solutions. Existing metrics for population diversity measures only examine the similarity between individuals on a genetic level. However, similarities in the order of genes in individuals in ordered problems, such as the travelling salesman problem (TSP) can play an important role in effective diversity measures. By examining the similarities of individuals by the order of their genes, this paper proposes longest common subsequence (LCS) based metrics for measuring population diversity and its application in adaptive GAs for solving TSP. Extensive experimental results demonstrate the superiority of our proposal to existing approaches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Eiben, Á.E., Hinterding, R., Michalewicz, Z.: Parameter control in evolutionary algorithms. IEEE Trans. Evol. Comput. 3(2), 124–141 (1999)
Chaiyaratana, N., Piroonratana, T., Sangkawelert, N.: Effects of diversity control in single-objective and multi-objective genetic algorithms. J. Heuristics 13(1), 1–34 (2007)
Pan, Q.K., Suganthan, P.N., Wang, L., Gao, L., Mallipeddi, R.: A differential evolution algorithm with self-adapting strategy and control parameters. Comput. Oper. Res. 38(1), 394–408 (2011)
Zhu, K.Q.: A diversity-controlling adaptive genetic algorithm for the vehicle routing problem with time windows. In: Proceedings of the 15th IEEE International Conference on Tools with Artificial Intelligence, pp. 176–183. IEEE (2003)
Shimodaira, H.: A diversity-control-oriented genetic algorithm (DCGA): performance in function optimization. In: Proceedings of the 2001 Congress on Evolutionary Computation, vol. 1, pp. 44–51. IEEE (2001)
Ursem, R.K.: Diversity-guided evolutionary algorithms. In: Guervós, J.J.M., Adamidis, P., Beyer, H.-G., Schwefel, H.-P., Fernández-Villacañas, J.-L. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 462–471. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45712-7_45
Mc Ginley, B., Maher, J., O’Riordan, C., Morgan, F.: Maintaining healthy population diversity using adaptive crossover, mutation, and selection. IEEE Trans. Evol. Comput. 15(5), 692–714 (2011)
Vidal, T., Crainic, T.G., Gendreau, M., Prins, C.: A hybrid genetic algorithm with adaptive diversity management for a large class of vehicle routing problems with time-windows. Comput. Oper. Res. 40, 475–489 (2013)
Segura, C., Hernandez, A., Luna, F., Alba, E.: Improving diversity in evolutionary algorithms: new best solutions for frequency assignment. IEEE Trans. Evol. Comput. 21(4), 539–553 (2017)
Cruz-Salinas, A.F., Perdomo, J.G.: Self-adaptation of genetic operators through genetic programming techniques. In: GECCO, pp. 913–920. ACM (2017)
Adra, S.F., Fleming, P.J.: Diversity management in evolutionary many-objective optimization. IEEE Trans. Evol. Comput. 15, 183–195 (2011)
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT Press, Cambridge (2009)
Goldberg, D.E., Deb, K.: A comparative analysis of selection schemes used in genetic algorithms. Found. Genet. Algorithms 1, 69–93 (1991)
Abdoun, O., Abouchabaka, J.: A comparative study of adaptive crossover operators for genetic algorithms to resolve the traveling salesman problem. Int. J. Comput. Appl. 31(11), 49–57 (2011)
Abdoun, O., Abouchabaka, J., Tajani, C.: Analyzing the performance of mutation operators to solve the travelling salesman problem. Int. J. Emerg. Sci. 2, 61–77 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Ohira, R., Islam, M.S., Jo, J., Stantic, B. (2019). LCS Based Diversity Maintenance in Adaptive Genetic Algorithms. In: Islam, R., et al. Data Mining. AusDM 2018. Communications in Computer and Information Science, vol 996. Springer, Singapore. https://doi.org/10.1007/978-981-13-6661-1_5
Download citation
DOI: https://doi.org/10.1007/978-981-13-6661-1_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-6660-4
Online ISBN: 978-981-13-6661-1
eBook Packages: Computer ScienceComputer Science (R0)