Chichinadze
Problem definition
Objective function
f = @(x) x(:,1).^2 - 12*x(:,1) + 11 + 10*cos(pi*x(:,1)./2) + 8*sin(5*pi*x(:,1)./2) - ((1/5).^0.5)*exp(-0.5*(x(:,2) - 0.5).^2)
Optimization settings
o = struct% initializing struct
o.d = 2% dimension of decision variable
o.lb = -30% lower bounds
o.ub = 30% upper bounds
Graphic representation
[x,y] = meshgrid(o.lb:2:o.ub) surf(x,y,f([x(:),y(:)]))
Problem properties
| convexity | smoothness | minimum |
| 0 | ∞ | f(6.1898,0.5) = -42.944 |
Optimization example with ga
Algorithm options
o.maxit = 21% number of iterations
Optimization
rng(0)% for tractability
[xmin,fmin,popPos,popCost] = ga(f,o)% running minimization
Animation
rng(0) [~,~,~,~,info] = ga(f,o) info.sol = [6.1898 0.5 -42.944]% solution
info.animate = true% plot animation
info.animfreq = 2% frame frequency
info.np = 21% number of points for meshgrid
optimview('ga',info)