1.11 Michalewicz's function 12	Contents	1.13 Easom's function

1 Parametric Optimization

1.12 Branins's rcos function

The Branin rcos function [Bra72] is a global optimization test function. The function has 3 global optima.

function definition

fBran(x1,x2)=a·(x2-b·x1^2+c·x1-d)^2+e·(1-f)·cos(x1)+e;
a=1, b=5.1/(4·pi^2), c=5/pi, d=6, e=10, f=1/(8·pi);
-5<=x1<=10, 0<=x2<=15.

global minimum

f(x1,x2)=0.397887; (x1,x2)=(-pi,12.275), (pi,2.275), (9.42478,2.475).

This function is implemented in objbran.