Cuckoo Search Algorithm with Chaotic Maps

Mathematical Problems in Engineering

Volumn 2015, Issue , 2015, Pages

  Wang, Lijin ^a   Zhong, Yiwen ^a  

^a FUJIAN AGRICULTURE AND FORESTRY UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; ITERATIVE METHODS; LEARNING ALGORITHMS; LYAPUNOV METHODS; OPTIMIZATION; RANDOM PROCESSES;

CONSTANT VALUES; CONVERGENCE SPEED; CUCKOO SEARCH ALGORITHMS; OPTIMIZATION TECHNIQUES; RANDOM WALK; SCALING FACTORS; SOLUTION QUALITY; TWO PARAMETER;

ALGORITHMS;

EID: 84938099036     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2015/715635     Document Type: Article

References (40)

1. X. S. Yang and S. Deb, "Cuckoo search via Lévy flights, " in Proceedings of theWorld Congress on Nature & Biologically Inspired Computing (NaBIC '09), pp. 210-214, IEEE, Coimbatore, India, 2009.
2. X.-S. Yang and S. Deb, "Engineering optimisation by cuckoo search, " International Journal of Mathematical Modelling and Numerical Optimisation, vol. 1, no. 4, pp. 330-343, 2010.
3. P. Civicioglu and E. Besdok, "A conceptual comparison of the Cuckoo-search, particle swarmoptimization, differential evolution and artificial bee colony algorithms, " Artificial Intelligence Review, vol. 39, no. 4, pp. 315-346, 2013.
4. S. Walton, O. Hassan, K. Morgan, and M. R. Brown, "Modified cuckoo search: a new gradient free optimisation algorithm, " Chaos, Solitons & Fractals, vol. 44, no. 9, pp. 710-718, 2011.
5. P. Nasa-Ngium, K. Sunat, and S. Chiewchanwattana, "Enhancing modified cuckoo search by using Mantegna Lévy flights and chaotic sequences, " in Proceedings of the 10th International Joint Conference on Computer Science and Software Engineering (JCSSE '13), pp. 53-57, IEEE, Maha Sarakham, Thailand, May 2013.
6. S. Das, P. Dasgupta, and B. K. Panigrahi, "Inter-species Cuckoo search via different Lévy flights, " in Proceedings of the 4th International Conference on Swarm, Evolutionary, and Memetic Computing (SEMCCO '13), B. K. Panigrahi, P. N. Suganthan, S. Das, and S. S. Dash, Eds., vol. 8297 of Lecture Notes in Computer Science, part I, pp. 515-526, Springer International Publishing, Cham, Switzerland, 2013.
7. X. M. Ding, Z. K. Xu, N. J. Cheung, and X. H. Liu, "Parameter estimation of Takagi-Sugeno fuzzy system using heterogeneous cuckoo search algorithm, " Neurocomputing, vol. 151, no. 3, pp. 1332-1342, 2015.
8. Z. X. Zhang and Y. J. Chen, "An improved cuckoo search algorithm with adaptive method, " in Proceedings of the 7th International Joint Conference on Computational Sciences and Optimization (CSO '14), pp. 204-207, Beijing, China, July 2014.
9. E. Valian, S. Mohanna, and S. Tavakoli, "Improved cuckoo search algorithmfor global optimization, " International Journal of Communications and Information Technology, vol. 1, no. 1, pp. 31-44, 2011.
10. L. J. Wang, Y. L. Yin, and Y. W. Zhong, "Cuckoo search with varied scaling factor, " Froniters of Computer Science, 2015.
11. M. Tuba, M. Subotic, and N. Stanarevic, "Performance of amodified cuckoo search algorithm for unconstrained optimization problems, " WSEAS Transactions on Systems, vol. 2, no. 1, pp. 263-268, 2012.
12. L. J. Wang, Y. L. Yin, and Y. W. Zhong, "Cuckoo search algorithmwith dimension by dimension improvement, " Journal of Software, vol. 24, no. 11, pp. 2687-2698, 2013.
13. S. K. Fateen and A. Bonilla-Petriciolet, "Gradient-based cuckoo search for global optimization, " Mathematical Problems in Engineering, vol. 2014, Article ID 493740, 12 pages, 2014.
14. S.-E. K. Fateen and A. Bonilla-Petriciolet, "A note on effective phase stability calculations using gradient-based cuckoo search algorithm, " Fluid Phase Equilibria, vol. 375, pp. 360-366, 2014.
15. Y. Q. Zhou and H. Q. Zheng, "A novel complex valued cuckoo search algorithm, "TheScientificWorld Journal, vol. 2013, Article ID597803, 6 pages, 2013.
16. F. Wang, X. S. He, L. G. Luo, and Y. Wang, "Hybrid optimization algorithm of PSO and cuckoo search, " in Proceedings of the 2nd International Conference on Artificial Intelligence, Management Science and Electric Commerce (AIMSEC '11), pp. 1172-1175, Zhengzhou, China, 2011.
17. A. Ghodrati and S. Lotfi, "Ahybrid CS/PSO algorithmfor global optimization, " in Intelligent Information and Database Systems: 4th Asian Conference, ACIIDS 2012, Kaohsiung, Taiwan, March 19-21, 2012, Proceedings, Part III, vol. 7198 of Lecture Notes in Computer Science, pp. 89-98, Springer, Berlin, Germany, 2012.
18. P. R. Srivastava, R. Khandelwal, S. Khandelwal, S. Kumar, and S. S. Ranganatha, "Automated test data generation using cuckoo search and tabu search (CSTS) algorithm, " Journal of Intelligent Systems, vol. 21, no. 2, pp. 195-224, 2012.
19. G. G. Wang, L. H. Guo, H. Duan, and L. Liu, "A hybrid metaheuristic DE/CS Algorithm for UCAV path planning, " Journal of Information & Computational Science, vol. 9, no. 16, pp. 4811-4818, 2012.
20. R. G. Babukartik and P. Dhavachelvan, "Hybrid algorithmusing the advantage of ACO and Cuckoo Search for Job Scheduling, " International Journal of Information Technology Convergence and Services, vol. 2, no. 4, pp. 25-34, 2012.
21. X.-X. Hu and Y.-L. Yin, "Cooperative co-evolutionary cuckoo search algorithm for continuous function optimization problems, " Pattern Recognition and Artificial Intelligence, vol. 26, no. 11, pp. 1041-1049, 2013.
22. H. Zheng and Y. Zhou, "A cooperative coevolutionary cuckoo search algorithm for optimization problem, " Journal of Applied Mathematics, vol. 2013, Article ID 912056, 9 pages, 2013.
23. S. Saremi, S. Mirjalili, and A. Lewis, "Biogeography-based optimisation with chaos, "NeuralComputing&Applications, vol. 25, no. 5, pp. 1077-1097, 2014.
24. R. Ebrahimzadeh and M. Jampour, "Chaotic genetic algorithm based on lorenz chaotic system for optimization problems, " International Journal of Intelligent Systems and Applications, vol. 5, no. 5, pp. 19-24, 2013.
25. Z. Y. Guo, B. Chen, M. Ye, and B. Cao, "Self-adaptive chaos differential evolution, " in Advances in Natural Computation: Second International Conference, ICNC 2006, Xi'an, China, September 24-28, 2006. Proceedings, Part I, L. Jiao, L. Wang, X.-B. Gao, J. Liu, and F. Wu, Eds., vol. 4221 of Lecture Notes in Computer Science, pp. 972-975, Springer, Berlin, Germany, 2006.
26. A. H. Gandomi, X.-S. Yang, S. Talatahari, and A. H. Alavi, "Firefly algorithm with chaos, " Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 1, pp. 89-98, 2013.
27. S. Saremi, S. M. Mirjalili, and S. Mirjalili, "Chaotic krill herd optimization algorithm, " Procedia Technology, vol. 12, pp. 180-185, 2014.
28. G.-G. Wang, L. H. Guo, A. H. Gandomi, G.-S. Hao, and H. Wang, "Chaotic krill herd algorithm, " Information Sciences, vol. 274, pp. 17-34, 2014.
29. S. Saremi and S. Mirjalili, "Integrating chaos to biogeographybased optimization algorithm, " International Journal of Computer and Communication Engineering, vol. 2, no. 6, pp. 655-658, 2013.
30. R. C. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, OxfordUniversity Press, NewYork, NY, USA, 2nd edition, 2004.
31. Y. Li, S. Deng, and D. Xiao, "A novel hash algorithmconstruction based on chaotic neural network, " Neural Computing and Applications, vol. 20, no. 1, pp. 133-141, 2011.
32. A. G. Tomida, "Matlab toolbox and GUI for analyzing onedimensional chaotic maps, " in Proceedings of the International Conference on Computational Sciences and Its Applications (ICCSA '08), pp. 321-330, IEEE Press, Perugia, Italy, July 2008.
33. R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Addison-Wesley, Redwood City, Calif, USA, 1986.
34. H.-O. Peitgen, H. Jurgens, and D. Saupe, Chaos and Fractals, Springer, Berlin, Germany, 1992.
35. E. Ott, Chaos in Dynamical Systems, Cambridge University Press, Cambridge, UK, 2002.
36. N. Noman and H. Iba, "Accelerating differential evolution using an adaptive local search, " IEEE Transactions on Evolutionary Computation, vol. 12, no. 1, pp. 107-125, 2008.
37. P. N. Suganthan, N. Hansen, J. J. Liang et al., "Problem definitions and evaluation criteria for the CEC2005 special session on real-parameter optimization, " Tech. Rep., Nanyang Technological University, Singapore, 2005.
38. W. Y. Gong and Z. H. Cai, "Differential evolution with rankingbased mutation operators, " IEEE Transactions on Cybernetics, vol. 43, no. 6, pp. 2066-2081, 2013.
39. S. García, D. Molina, M. Lozano, and F. Herrera, "A study on the use of non-parametric tests for analyzing the evolutionary algorithms' behaviour: a case study on the CEC'2005 Special Session on Real Parameter Optimization, " Journal of Heuristics, vol. 15, no. 6, pp. 617-644, 2009.
40. X. T. Li, J.N. Wang, and M.H. Yin, "Enhancing the performance of cuckoo search algorithmusing orthogonal learningmethod, " Neural Computing & Applications, vol. 24, no. 6, pp. 1233-1247, 2014.