Hybridized Elephant Herding Optimization Algorithm for Constrained Optimization
Abstract
This paper introduces hybridized elephant herding optimization algorithm (EHO) adopted for solving constrained optimization problems. EHO is one of the latest swarm intelligence metaheuristic and the implementation of the EHO for constrained optimization was not found in literature. In order to evaluate the performance of the hybridized EHO algorithm, we conducted tests on 13 standard constrained benchmark functions. To prove efficiency and robustness of the hybridized EHO, a comparative analysis with basic EHO implementation, as well as with other state-of-the-art algorithms, such as firefly algorithm, seeker optimization algorithm and self-adaptive penalty function genetic algorithm was performed. Experiments show that the hybridized EHO on average outperforms other algorithms used in comparative analysis.
Keywords
Elephant herding optimization Swarm intelligence algorithms Metaheuristics Constrained optimization problemsNotes
Acknowledgment
This research is supported by Ministry of Education, Science and Technological Development of Republic of Serbia, Grant No. III-44006.
References
- 1.Karaboga, D., Basturk, B.: Articial bee colony (abc) optimization algorithm for solving constrained optimization problems. In: Foundations of Fuzzy Logic and Soft Computing. LNCS, vol. 4529, pp. 789–798 (2007)Google Scholar
- 2.Liang, J.J., Runarsson, T.P., Mezura-Montes, E., Clerc, M., Suganthan, P.N., Coello, C.A.C., Deb, K.: Problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization. Technical report p. 24 (2006)Google Scholar
- 3.Mezura-Montes, E., Coello-Coello, C.A.: Constraint-handling in nature-inspired numerical optimization: past, present and future. Swarm Evol. Comput. 1(4), 173–194 (2011)CrossRefGoogle Scholar
- 4.Mezura-Montes, E. (ed.): Constraint-Handling in Evolutionary Optimization. SCI, vol. 198. Springer-Verlag, Heidelberg (2009)Google Scholar
- 5.Michalewicz, Z., Schoenauer, M.: Evolutionary algorithms for constrained parameter optimization problems. Evol. Comput. 4(1), 1–32 (1996)CrossRefGoogle Scholar
- 6.Sambariya, D.K., Fagna, R.: A novel elephant herding optimization based PID controller design for load frequency control in power system. In: International Conference on Computer, Communications and Electronics (Comptelix), pp. 595–600, July 2017Google Scholar
- 7.Sarwar, M.A., Amin, B., Ayub, N., Faraz, S.H., Khan, S.U.R., Javaid, N.: Scheduling of appliances in home energy management system using elephant herding optimization and enhanced differential evolution. In: Proceedings of the 9th International Conference on International Conference on Intelligent Networking and Collaborative Systems (INCoS-2017), pp. 132–142, August 2017Google Scholar
- 8.Strumberger, I., Bacanin, N., Tuba, M.: Constrained portfolio optimization by hybridized bat algorithm. In: 7th International Conference on Intelligent Systems, Modelling and Simulation (ISMS), pp. 83–88. IEEE (2016)Google Scholar
- 9.Strumberger, I., Bacanin, N., Tuba, M.: Enhanced firefly algorithm for constrained numerical optimization. In: Congress on Evolutionary Computation (CEC), pp. 2120–2127. IEEE (2017)Google Scholar
- 10.Tessema, B.G., Yen, G.G.: A self-adaptive penalty function based algorithm for constrained optimization. In: IEEE Congress on Evolutionary Computation 2006 (CEC 2006), pp. 246–253 (2006)Google Scholar
- 11.Tuba, E., Alihodzic, A., Tuba, M.: Multilevel image thresholding using elephant herding optimization algorithm. In: Proceedings of 14th International Conference on the Engineering of Modern Electric Systems (EMES), pp. 240–243, June 2017Google Scholar
- 12.Tuba, E., Mrkela, L., Tuba, M.: Support vector machine parameter tuning using firefly algorithm. In: 26th International Conference Radioelektronika, pp. 413–418. IEEE (2016)Google Scholar
- 13.Tuba, E., Stanimirovic, Z.: Elephant herding optimization algorithm for support vector machine parameters tuning. In: Proceedings of the 2017 International Conference on Electronics, Computers and Artificial Intelligence (ECAI), pp. 1–5, June 2017Google Scholar
- 14.Tuba, E., Tuba, M., Dolicanin, E.: Adjusted fireworks algorithm applied to retinal image registration. Stud. Inf. Control 26(1), 33–42 (2017)Google Scholar
- 15.Tuba, M., Bacanin, N.: Improved seeker optimization algorithm hybridized with firefly algorithm for constrained optimization problems. Neurocomputing 143, 197–207 (2014)CrossRefGoogle Scholar
- 16.Tuba, V., Beko, M., Tuba, M.: Performance of elephant herding optimization algorithm on CEC 2013 real parameter single objective optimization. WSEAS Trans. Syst. 16, 100–105 (2017)Google Scholar
- 17.Wang, G.G., Deb, S., Gao, X.Z., Coelho, L.D.S.: A new metaheuristic optimisation algorithm motivated by elephant herding behaviour. Int. J. Bio-Inspired Comput. 8(6), 394–409 (2017)CrossRefGoogle Scholar
- 18.Wang, G.G., Deb, S., Coelho, L.D.S.: Elephant herding optimization. In: Proceedings of the 2015 3rd International Symposium on Computational and Business Intelligence (ISCBI), pp. 1–5, December 2015Google Scholar
- 19.Yang, X.S.: Firefly algorithm, stochastic test functions and design optimisation. Int. J. Bio-Inspired Comput. 2(2), 78–84 (2010)CrossRefGoogle Scholar
- 20.Yang, X.S.: A new metaheuristic bat-inspired algorithm. SCI, vol. 284, pp. 65–74, November 2010Google Scholar
- 21.Zheng, S., Janecek, A., Tan, Y.: Enhanced fireworks algorithm. In: Proceeding of the 2013 IEEE Congress on Evolutionary Computation (CEC 2013), pp. 2069–2077 (2013)Google Scholar