Affiliation:
1. Faculty of Applied Informatics Tomas Bata University in Zlin T.G. Masaryka 5555, 760 01 Zlin, Czech Republic
Abstract
This research deals with the initial investigations on the concept of a chaos-driven evolutionary algorithm Differential evolution. This paper is aimed at the embedding of simple two-dimensional chaotic system, which is Lozi map, in the form of chaos pseudo random number generator for Differential Evolution. The chaotic system of interest is the discrete dissipative system. Repeated simulations were performed on standard benchmark Schwefel’s test function in higher dimensions. Finally, the obtained results are compared with canonical Differential Evolution.
Publisher
North Atlantic University Union (NAUN)
Subject
Management, Monitoring, Policy and Law,Geography, Planning and Development
Reference19 articles.
1. K. Price,” An Introduction to Differential Evolution”, In: New Ideas in Optimization, (D. Corne, M. Dorigo and F. Glover, Eds.), McGraw-Hill, London, UK, pp. 79–108, 1999, ISBN 007-709506-5, 1999.
2. M. F. Tasgetiren, P. N. Suganthan and Q. K. Pan, “An Ensemble of Discrete Differential Evolution Algorithms for Solving the Generalized Traveling Salesman Problem”, Applied Mathematics and Computation, Vol. 215, Issue 9, p. 3356 - 3368, 2010.
3. G. Onwubolu and D. Davendra (Eds), “Differential Evolution: A handbook for Permutation-based Combinatorial Optimization”, Springer, Germany, 2009
4. S. Das, A. Konar, U. K. Chakraborty and A. Abraham, “Differential evolution with a neighborhood based mutation operator: a comparative study”, IEEE Transactions on Evolutionary Computations, vol. 13, no. 3, 2009, pp. 526-553.
5. A. K. Qin, V. L. Huang and P. N. Suganthan, “Differential evolution algorithm with strategy adaptation for global numerical optimization”, IEEE Transactions on Evolutionary Computations, vol. 13, no. 2, 2009, pp. 398-417.