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A Comparative Analysis of Various Chaotic Genetic Algorithms for Multimodal Function Optimization.

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Trends Applied Sci. Res., 7 (9): 785-791, 2012

788 Fig. 2: A two-dimensional plot of Rastrigin’s function

Fig. 3: A two-dimensional plot of De Jong’s first function

De Jong’s second function (also known as Rosenbrock’s Function): De Jong’s second function is mathematically defined as:

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The global minimum is located at (1, …, 1) and its function value is zero. De Jong’s second function of dimension 2 is shown in Fig. 4.

Griewangk’s function: Griewangk’s function is mathematically defined as:

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Trends Applied Sci. Res., 7 (9): 785-791, 2012

789

Fig. 4: A two-dimensional plot of De Jong’s second function

Fig. 5: A two-dimensional plot of Griewangk’s function

The global minimum is located at the origin and its function value is zero. Griewangk’s function of dimension 2 is shown in Fig. 5.

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Fig. 2: A two-dimensional plot of Rastrigin’s function
Fig. 4: A two-dimensional plot of De Jong’s second function

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