最佳化常用测试函数 Optimization Test functions

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　　http://www.sfu.ca/~ssurjano/optimization.html
　　The functions listed below are some of the common functions and datasets used for testing optimization algorithms. They are grouped according to similarities in their significant physical properties and shapes. Each page contains information about the corresponding function or dataset, as well as MATLAB and R implementations.

Many Local Minima

• Ackley Function
  
• Bukin Function N. 6
  
• Cross-in-Tray Function
  
• Drop-Wave Function
  
• Eggholder Function
  
• Gramacy & Lee (2012) Function
  
• Griewank Function
  
• Holder Table Function
  
• Langermann Function
  
• Levy Function
  
• Levy Function N. 13
  
• Rastrigin Function
  
• Schaffer Function N. 2
  
• Schaffer Function N. 4
  
• Schwefel Function
  
• Shubert Function
  

Bowl-Shaped

• Bohachevsky Functions
  
• Perm Function 0, d, β
  
• Rotated Hyper-Ellipsoid Function
  
• Sphere Function
  
• Sum of Different Powers Function
  
• Sum Squares Function
  
• Trid Function
  

Plate-Shaped

• Booth Function
  
• Matyas Function
  
• McCormick Function
  
• Power Sum Function
  
• Zakharov Function
  

Valley-Shaped

• Three-Hump Camel Function
  
• Six-Hump Camel Function
  
• Dixon-Price Function
  
• Rosenbrock Function
  

Steep Ridges/Drops

• De Jong Function N. 5
  
• Easom Function
  
• Michalewicz Function
  

Other

• Beale Function
  
• Branin Function
  
• Colville Function
  
• Forrester et al. (2008) Function
  
• Goldstein-Price Function
  
• Hartmann 3-D Function
  
• Hartmann 4-D Function
  
• Hartmann 6-D Function
  
• Perm Function d, β
  
• Powell Function
  
• Shekel Function
  
• Styblinski-Tang Function