Viennet

Problem definition

Objective function
f = @(x) [ 0.5*sum(x.^2,2) + sin(sum(x.^2,2)), ...
          (3*x(:,1)-2*x(:,2)+4).^2/8 + (x(:,1)-x(:,2)+1).^2/27 + 15, ...
          1./(sum(x.^2,2)+1) - 1.1*exp(-sum(x.^2,2)) ]
Optimization settings
o = struct	

% initializing struct

o.d = 2

% dimension of decision variable

o.lb = -5

% lower bounds

o.ub = 5

% upper bounds

Problem properties

dimension objectives smoothness
2 3 -

Optimization example with nsga2

Algorithm options
o.maxit = 100	

% number of iterations

o.pop = 40

% number of population

Optimization
rng(0)	

% for tractability

[popPos,popFront,popCost,popInfo,traceIt] = nsga2(f,o)

% running minimization

Animation
rng(0)
[~,~,~,~,~,info] = nsga2(f,o)
info.plot = 'pareto'
info.animate = true	

% plot animation

info.animfreq = 5

% frame frequency

optimview('nsga2',info)

Related functions

nsga2 | plot3 | scatter3