Hydrological Cycle Algorithm for Continuous Optimization Problems

Table 3

Functions’ characteristics.

Number	Function name	Lower bound	Upper bound			Type
(1)	Ackley					Many local minima
(2)	Cross-In-Tray					Many local minima
(3)	Drop-Wave					Many local minima
(4)	Gramacy & Lee (2012)					Many local minima
(5)	Griewank					Many local minima
(6)	Holder Table					Many local minima
(7)	Levy					Many local minima
(8)	Levy N. 13					Many local minima
(9)	Rastrigin					Many local minima
(10)	Schaffer N. 2					Many local minima
(11)	Schaffer N. 4					Many local minima
(12)	Schwefel					Many local minima
(13)	Shubert					Many local minima
(14)	Bohachevsky					Bowl-shaped
(15)	Rotated Hyper-Ellipsoid					Bowl-shaped
(16)	Sphere (Hyper)					Bowl-shaped
(17)	Sum Squares					Bowl-shaped
(18)	Booth					Plate-shaped
(19)	Matyas					Plate-shaped
(20)	McCormick					Plate-shaped
(21)	Zakharov					Plate-shaped
(22)	Three-Hump Camel					Valley-shaped
(23)	Six-Hump Camel					Valley-shaped
(24)	Dixon-Price					Valley-shaped
(25)	Rosenbrock					Valley-shaped
(26)	Shekel’s Foxholes (De Jong N. 5)					Steep ridges/drops
(27)	Easom					Steep ridges/drops
(28)	Michalewicz					Steep ridges/drops
(29)	Beale					Other
(30)	Branin					Other
(31)	Goldstein-Price I					Other
(32)	Goldstein-Price II					Other
(33)	Styblinski-Tang					Other
(34)	Gramacy & Lee (2008)					Other
(35)	Martin & Gaddy					Other
(36)	Easton and Fenton					Other
(37)	Rosenbrock D1.2					Other
(38)	Sphere					Other
(39)	Hartmann 3-D					Other
(40)	Rosenbrock					Other
(41)	Powell					Other
(42)	Wood					Other
(43)	Sphere					Other
(44)	DeJong					Maximize function