Journal of Optimization / 2017 / Article / Tab 3

Research Article

Hydrological Cycle Algorithm for Continuous Optimization Problems

Table 3

Functions’ characteristics.

NumberFunction nameLower boundUpper boundType

(1)AckleyMany local minima
(2)Cross-In-TrayMany local minima
(3)Drop-WaveMany local minima
(4)Gramacy & Lee (2012)Many local minima
(5)GriewankMany local minima
(6)Holder TableMany local minima
(7)LevyMany local minima
(8)Levy N. 13Many local minima
(9)RastriginMany local minima
(10)Schaffer N. 2Many local minima
(11)Schaffer N. 4Many local minima
(12)SchwefelMany local minima
(13)ShubertMany local minima

(14)BohachevskyBowl-shaped
(15)Rotated Hyper-EllipsoidBowl-shaped
(16)Sphere (Hyper)Bowl-shaped
(17)Sum SquaresBowl-shaped

(18)BoothPlate-shaped
(19)MatyasPlate-shaped
(20)McCormickPlate-shaped
(21)ZakharovPlate-shaped

(22)Three-Hump CamelValley-shaped
(23)Six-Hump CamelValley-shaped
(24)Dixon-PriceValley-shaped
(25)RosenbrockValley-shaped

(26)Shekel’s Foxholes (De Jong N. 5)Steep ridges/drops
(27)EasomSteep ridges/drops
(28)MichalewiczSteep ridges/drops

(29)BealeOther
(30)BraninOther
(31)Goldstein-Price IOther
(32)Goldstein-Price IIOther
(33)Styblinski-TangOther
(34)Gramacy & Lee (2008)Other
(35)Martin & GaddyOther
(36)Easton and FentonOther
(37)Rosenbrock D1.2Other
(38)SphereOther
(39)Hartmann 3-DOther
(40)RosenbrockOther
(41)PowellOther
(42)WoodOther
(43)SphereOther
(44)DeJongMaximize function

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