Abstract
Cuckoo Search has been recently added to the pool of nature inspired metaheuristics. Its promising results in solving single objective optimization motivate its use in multiobjetive context. In this paper we describe a Pareto based multiobjective Cuckoo search algorithm. Like swarm based metaheuristics, the basic algorithm needs to specify the best solutions in order to update the population. As the best solution is not unique in multiobjective optimization, this requires the use of a selection strategy. For this purpose, we propose in this paper investigation of five leader selection strategies namely random selection, sigma method, crowding distance method, hybrid selection method and MaxiMin method. Performance of the proposed algorithm has been assessed using benchmark problems from the field of numerical optimization. Impact of selection strategies on both convergence and diversity of obtained fronts has been studied empirically. Experimental results show in one hand the great ability of the proposed algorithm to deal with multiobjective optimization and in other hand no strategy has been shown to be the best in all test problems from both convergence and diversity points of view. However they may impact significantly the performance of the algorithm in some cases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
AlBaity, H., Meshoul, S., Kaban, A.: On extending quantum behaved particle swarm optimization to multiobjective context. In: proceedings of the 2012 IEEE Congress on Evolutionary Computation (CEC), pp. 1–8 (2012)
Balling, R.J.: The maximin fitness function for multiobjective evolutionary optimization. In: Parmee, I.C., Hajela, P. (eds.) Optimization in Industry, pp. 135–147. Springer, London (2002)
Bonabeau, E., Dorigo, M., Theraulaz, G.: Swarm Intelligence: From Natural to Artificial Systems. Oxford University Press, New York (1999)
Cheng, S., Chen, M.-Y., Hu, G.: An approach for diversity and convergence improvement of multi-objective particle swarm optimization. In: Yin, Z., Pan, L., Fang, X. (eds.) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. AISC, vol. 212, pp. 495–503. Springer, Heidelberg (2013)
Floudas, C.A., Pardalos, P.M.: Encyclopedia of Optimization: With 247 Tables. Springer, New York (2009)
Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester (2001)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.A.M.T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002)
Fonseca, C.M., Fleming, P.J.: Multiobjective optimization and multiple constraint handling with evolutionary algorithms. i. a unified formulation. IEEE Trans. Syst. Man Cybern. Part A Syst. Humans 28, 26–37 (1998)
Goldberg, D.E.: Genetic Algorithms in Search Optimization and Machine Learning. Addison-Wesley, Reading (1988)
Hu, W., Yen, G.G.: Density estimation for selecting leaders and maintaining archive in MOPSO. In: Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC), pp. 181–188 (2013)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of the 1995 IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)
Knowles, J., Corne, D.: The Pareto archived evolution strategy: a new baseline algorithm for Pareto multiobjective optimisation. In: Proceedings of the 1999 Congress on Evolutionary Computation, CEC 99 (1999)
Li, X.: Better spread and convergence: particle swarm multiobjective optimization using the maximin fitness function. In: Deb, K., Tari, Z. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 117–128. Springer, Heidelberg (2004)
Mohankrishna, S., Maheshwari, D., Satyanarayana, P., Satapathy, S.C.: A comprehensive study of particle swarm based multi-objective optimization. In: Satapathy, S.C., Avadhani, P.S., Abraham, A. (eds.) Proceedings of the InConINDIA 2012. AISC, vol. 132, pp. 689–701. Springer, Heidelberg (2012)
Mostaghim, S., Teich, J.: Strategies for finding good local guides in multi-objective particle swarm optimization (MOPSO). In: Proceedings of the 2003 IEEE Swarm Intelligence Symposium, SIS’03, pp. 26–33 (2003)
Raquel, C.R., Naval, P.C. Jr.: An effective use of crowding distance in multiobjective particle swarm optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO), pp. 257–264 (2005)
Schaffer, J.D.: Multiple objective optimization with vector evaluated genetic algorithms. In: Proceedings of the 1st International Conference on Genetic Algorithms, pp. 93–100. L. Erlbaum Associates Inc, (1985)
Syberfeldt, A.: Multi-objective optimization of a real-world manufacturing process using cuckoo search. In: Yang, X.-S. (ed.) Cuckoo Search and Firefly Algorithm. SCI, vol. 516, pp. 179–193. Springer, Heidelberg (2014)
Talbi, E.-G.: Metaheuristics: From Design to Implementation. Wiley, Chichester (2009)
Yang, X.-S., Deb, S.: Multiobjective cuckoo search for design optimization. Comput. Oper. Res. 40, 1616–1624 (2006–2013)
Yang, X.-S., Deb, S. Cuckoo search via lévy flights. In: Proceedings of the World Congress on Nature and Biologically Inspired Computing, NaBIC 2009, December 2009, India, pp. 210–214. IEEE Publications, USA (2009)
Yang, X.-S., Deb, S.: Engineering optimisation by cuckoo search. Int. J. Math. Model. Numer. Optim. 1, 330–343 (2010)
Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: empirical results. In: Proceeding of the Evolutionary Computation, vol. 8, pp. 173–195, (summer 2000)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength Pareto evolutionary algorithm. Eidgenssische Technische Hochschule Zrich (ETH), Institut für Technische Informatik und Kommunikationsnetze (TIK) (2001)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Zeltni, K., Meshoul, S. (2014). Multi-Objective Cuckoo Search with Leader Selection Strategies. In: Fouilhoux, P., Gouveia, L., Mahjoub, A., Paschos, V. (eds) Combinatorial Optimization. ISCO 2014. Lecture Notes in Computer Science(), vol 8596. Springer, Cham. https://doi.org/10.1007/978-3-319-09174-7_36
Download citation
DOI: https://doi.org/10.1007/978-3-319-09174-7_36
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09173-0
Online ISBN: 978-3-319-09174-7
eBook Packages: Computer ScienceComputer Science (R0)