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. 2013 Nov 6;4(4):646–662. doi: 10.3390/insects4040646

Table 2.

The selected benchmark functions [38,39].

No Function Name Interval Function Global Optimum
1 Goldstein &Price (2D) [−2, 2] graphic file with name insects-04-00646-i004.jpg X = [0,−1] F (X) = 3
2 Schwefel (2D) [−500, 500] graphic file with name insects-04-00646-i005.jpg X = [0,0] F(X) = −837.658
3 Schaffer (2D) [−100, 100] graphic file with name insects-04-00646-i006.jpg X = (0, 0) F(X) = 0
4 Rosenbrock (10D) [−1.2, 1.2] graphic file with name insects-04-00646-i007.jpg X = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] F(X) = 0
5 Sphere (10D) [−5.12, 5.12] graphic file with name insects-04-00646-i008.jpg X = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] F(X) = 0
6 Ackley (10D) [−32, 32] graphic file with name insects-04-00646-i009.jpg X = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] F(X) = 0
7 Rastrigin (10D) [−5.12, 5.12] graphic file with name insects-04-00646-i010.jpg X = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] F(X) = 0
8 Martin & Gaddy (2D) [0, 10] graphic file with name insects-04-00646-i011.jpg X = [5, 5] F(X) = 0
9 Easom (2D) [−100, 100] graphic file with name insects-04-00646-i012.jpg X = [π, π] F(X) = -1
10 Griewank (10D) [−600, 600] graphic file with name insects-04-00646-i013.jpg X = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100] F(X) = 0