Imperialist competitive algorithm combined with chaos for global optimization

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 3, 2012, Pages 1312-1319

  Talatahari, S ^a   Farahmand Azar, B ^a   Sheikholeslami, R ^a   Gandomi, A H ^b  

^a UNIVERSITY OF TABRIZ   (Iran)

^b The University of Akron   (United States)

Author keywords

Chaos; Global optimization; Imperialist competitive algorithm; Meta heuristic algorithms

Indexed keywords

CHAOTIC SYSTEMS; HEURISTIC ALGORITHMS; LYAPUNOV METHODS;

BENCHMARK FUNCTIONS; BEST CHOICE; CHAOTIC MAP; CHAOTICS; GLOBAL OPTIMISATION; IMPERIALIST COMPETITIVE ALGORITHMS; META-HEURISTICS ALGORITHMS; METAHEURISTIC OPTIMIZATION;

GLOBAL OPTIMIZATION;

EID: 80053385769     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.08.021     Document Type: Article

References (26)

1. Kaveh A., Talatahari S. Optimum design of skeletal structures using imperialist competitive algorithm. Comput Struct 2010, 88:1220-1229.
2. Atashpaz-Gargari E., Lucas C. Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition. IEE Cong Evol Comput 2007, 4661-4667.
3. Atashpaz-Gargari E., Hashemzadeh F., Rajabioun R., Lucas C. Colonial competitive algorithm: a novel approach for PID controller design in MIMO distillation column process. Int J Intell Comput Cybernet 2008, 3(1):337-355.
4. Kaveh A., Talatahari S. Imperialist competitive algorithm for engineering design problems. Asian J Civil Eng 2010, 11(6):675-697.
5. Ott E., Grebogi C., Yorke J. Controlling chaos. Phys Rev Lett 1990, 64(11):1196-1199.
6. Pecora L., Carroll T. Synchronization in chaotic system. Phys Rev Lett 1990, 64(8):821-824.
7. Yang D., Li G., Cheng G. On the efficiency of chaos optimization algorithms for global optimization. Chaos Soliton Fract 2007, 34:1366-1375.
8. Alatas B., Akin E., Ozer A. Chaos embedded particle swarm optimization algorithms. Chaos Soliton Fract 2009, 40:1715-1734.
9. Alatas B. Chaotic harmony search algorithm. Appl Math Comput 2010, 29(4):2687-2699.
10. Alatas B. Chaotic bee colony algorithms for global numerical optimization. Expert Syst Appl 2010, 37:5682-5687.
11. Alatas B. Uniform big bang-chaotic big crunch optimization. Commun Nonlinear Sci Numer Simul 2011, 16(9):3696-3703.
12. Tavazoei M.S., Haeri M. An optimization algorithm based on chaotic behavior and fractal nature. Comput Appl Math 2007, 206:1070-1081.
13. Eberhart RC, Kennedy J. A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan; 1995.
14. Dorigo M., Maniezzo V., Colorni A. The ant system: optimization by a colony of cooperating agents. IEEE Trans Systems Man Cybernet B 1996, 26(1):29-41.
15. Geem Z.W., Kim J.H., Loganathan G.V. A new heuristic optimization algorithm; harmony search. Simulation 2001, 76:60-68.
16. Kaveh A., Talatahari S. A novel heuristic optimization method: Charged system search. Acta Mech 2010, 213(3-4):267-289.
17. He Y., Zhou J., Xiang X., Chen H., Qin H. Comparison of different chaotic maps in particle swarm optimization algorithm for long-term cascaded hydroelectric system scheduling. Chaos Solitons Fract 2009, 42:3169-3176.
18. Coelho L., Mariani V. Use of chaotic sequences in a biologically inspired algorithm for engineering design optimization. Expert Syst Appl 2008, 34:1905-1913.
19. Ott E. Chaos in dynamical systems 2002, Cambridge University Press, Cambridge UK.
20. May R.M. Simple mathematical models with very complicated dynamics. Nature 1976, 261:459-474.
21. He D., He C., Jiang L., Zhu L., Hu G. Chaotic characteristic of a one-dimensional iterative map with infinite collapses. IEEE Trans Circuits Syst 2001, 48(7):900-906.
22. Zheng W.M. Kneading plane of the circle map. Chaos Soliton Fract 1994, 1221-1233.
23. Bucolo M., Caponetto R., Fortuna L., Frasca M., Rizzo A. Does chaos work better than noise?. IEEE Circuits Syst Mag 2002, 2(3):4-19.
24. Yang J. A chaos algorithm based on progressive optimality and Tabu search algorithm. In: Proceedings of the fourth conference on machine learning and cybernetics; 2005. p. 2977-81.
25. Xu H., Zhu H., Zhang T., Wang Z. Application of mutation scale chaos algorithm in power plant and units economics dispatch. J Harbin Inst Tech 2000, 32(4):55-58.
26. Xu L., Zhou S., Zhang H. A hybrid chaos optimization method and its application. System Eng Electron 2003, 25(2):226-228.