Performance of Chaos Driven Differential Evolution on Shifted Benchmark Functions Set

This research deals with the extended investigations on the concept of a chaos-driven evolutionary algorithm Differential Evolution (DE). This paper is aimed at the embedding of set of six discrete dissipative chaotic systems in the form of chaos pseudo random number generator for DE. Repeated simulations were performed on the set of two shifted benchmark test functions in higher dimensions. Finally, the obtained results are compared with canonical DE.

[1]  J. Sprott.  Chaos and time-series analysis , 2001 .

[2]  Yew-Soon Ong,et al.  Advances in Natural Computation, First International Conference, ICNC 2005, Changsha, China, August 27-29, 2005, Proceedings, Part I , 2005, ICNC.

[3]  Luigi Fortuna,et al.  Chaotic sequences to improve the performance of evolutionary algorithms , 2003, IEEE Trans. Evol. Comput..

[4]  P. N. Suganthan,et al.  Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization , 2009, IEEE Transactions on Evolutionary Computation.

[5]  Michal Pluhacek,et al.  On the behavior and performance of chaos driven PSO algorithm with inertia weight , 2013, Comput. Math. Appl..

[6]  Arthur C. Sanderson,et al.  JADE: Self-adaptive differential evolution with fast and reliable convergence performance , 2007, 2007 IEEE Congress on Evolutionary Computation.

[7]  Wei Liang,et al.  The chaos differential evolution optimization algorithm and its application to support vector regression machine , 2011, J. Softw..

[8]  Binggang Cao,et al.  Self-Adaptive Chaos Differential Evolution , 2006, ICNC.

[9]  Mehmet Fatih Tasgetiren,et al.  An ensemble of discrete differential evolution algorithms for solving the generalized traveling salesman problem , 2010, Appl. Math. Comput..

[10]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[11]  Amit Konar,et al.  Differential Evolution Using a Neighborhood-Based Mutation Operator , 2009, IEEE Transactions on Evolutionary Computation.

[12]  Elmetwally M. Elabbasy,et al.  Bifurcation Analysis, Chaos and Control in the Burgers Mapping , 2007 .

[13]  Godfrey C. Onwubolu,et al.  Differential Evolution: A Handbook for Global Permutation-Based Combinatorial Optimization , 2009 .

[14]  Roman Senkerik,et al.  Chaos driven evolutionary algorithms for the task of PID control , 2010, Comput. Math. Appl..

[15]  Kenneth V. Price,et al.  An introduction to differential evolution , 1999 .

[16]  Arthur C. Sanderson,et al.  Self-adaptive multi-objective differential evolution with direction information provided by archived inferior solutions , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[17]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..