Abstract
Many evolutionary algorithms have been proposed to deal with Constrained Optimization Problems (COPs). Penalty functions are widely used in the community of evolutionary optimization when coming to constraint handling. To avoid setting up penalty term, we introduce a new constraint handling method, in which a reference point selection mechanism and a population ranking process based on the distances to the selected reference point are proposed. The performance of our method is evaluated on 24 benchmark instances. Experimental results show that our method is competitive when compared with the state-of-the-art approaches and has improved the solution and the optima value of instance g22.
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
Ben Hamida, S., Schoenauer, M.: Aschea: new results using adaptive segregational constraint handling. In: Proceedings of the 2002 Congress on Evolutionary Computation, CEC 2002, vol. 1, pp. 884–889. IEEE (2002)
Cai, Z., Wang, Y.: A multiobjective optimization-based evolutionary algorithm for constrained optimization. IEEE Transactions on Evolutionary Computation 10(6), 658–675 (2006)
Coello, C.A.C.: Use of a self-adaptive penalty approach for engineering optimization problems. Computers in Industry 41(2), 113–127 (2000)
Deb, K.: An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering 186(2), 311–338 (2000)
Homaifar, A., Qi, C.X., Lai, S.H.: Constrained optimization via genetic algorithms. Simulation 62(4), 242–253 (1994)
Koziel, S., Michalewicz, Z.: A decoder-based evolutionary algorithm for constrained parameter optimization problems. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, pp. 231–240. Springer, Heidelberg (1998)
Liang, J., Runarsson, T., Mezura-Montes, E., Clerc, M., Suganthan, P., Coello, C.C., Deb, K.: Problem definitions and evaluation criteria for the cec 2006. Special Session on Constrained Real-parameter Optimization, Technical Report (2006)
Mallipeddi, R., Suganthan, P.N.: Ensemble of constraint handling techniques. IEEE Transactions on Evolutionary Computation 14(4), 561–579 (2010)
Mezura Montes, E., Coello, C.A.C.: A simple multimembered evolution strategy to solve constrained optimization problems. IEEE Transactions on Evolutionary Computation 9(1), 1–17 (2005)
Mezura-Montes, E., Coello, C.A.C.: Constraint-handling in nature-inspired numerical optimization: past, present and future. Swarm and Evolutionary Computation 1(4), 173–194 (2011)
Michalewicz, Z., Attia, N.: Evolutionary optimization of constrained problems. In: Proceedings of the 3rd Annual Conference on Evolutionary Programming, pp. 98–108. Citeseer (1994)
Runarsson, T.P., Yao, X.: Stochastic ranking for constrained evolutionary optimization. IEEE Transactions on Evolutionary Computation 4(3), 284–294 (2000)
Runarsson, T.P., Yao, X.: Search biases in constrained evolutionary optimization. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews 35(2), 233–243 (2005)
Takahama, T., Sakai, S.: Constrained optimization by the \(\varepsilon \) constrained differential evolution with gradient-based mutation and feasible elites. In: IEEE Congress on Evolutionary Computation, CEC 2006, pp. 1–8. IEEE (2006)
Wang, Y., Cai, Z.: IEEE Transactions on Combining multiobjective optimization with differential evolution to solve constrained optimization problems. Evolutionary Computation 16(1), 117–134 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Li, J., Shen, A., Lu, G. (2015). Reference Point Based Constraint Handling Method for Evolutionary Algorithm. In: Tan, Y., Shi, Y., Buarque, F., Gelbukh, A., Das, S., Engelbrecht, A. (eds) Advances in Swarm and Computational Intelligence. ICSI 2015. Lecture Notes in Computer Science(), vol 9140. Springer, Cham. https://doi.org/10.1007/978-3-319-20466-6_32
Download citation
DOI: https://doi.org/10.1007/978-3-319-20466-6_32
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20465-9
Online ISBN: 978-3-319-20466-6
eBook Packages: Computer ScienceComputer Science (R0)