Test Functions

for Unconstrained Global Optimization

Perm Functions

Function Pn,β

r Number of variables: n variables.

r Definition:

 

r Search domain: n xi n, i = 1, 2, . . . , n.

r The global minima: x* = (1, 2,, n), f(x*) = 0.

r MATLAB Code: download perm.m

r Function graph: for n = 2.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Function P0n,β

r Number of variables: n variables.

r Definition:

 

r Search domain: n xi n, i = 1, 2, . . . , n.

r The global minima: x* = (1, 1/2,, 1/n), f(x*) = 0.

r MATLAB Code: download perm0.m

r Function graph: for n = 2.

 

 

GO Test Problems