Osyczka-Kundu

Problem definition

Objective function
f = @(x) [-25*(x(:,1)-2).^2 - (x(:,2)-2).^2 - (x(:,3)-1).^2 - (x(:,4)-4).^2 - (x(:,5)-1).^2, sum(x.^2,2)]
Optimization settings
o = struct	

% initializing struct

g1 = @(x) x(:,1) + x(:,2) - 2 g2 = @(x) 6 - x(:,1) - x(:,2) g3 = @(x) 2 + x(:,1) - x(:,2) g4 = @(x) 2 - x(:,1) + 3*x(:,2) g5 = @(x) 4 - (x(:,3) - 3).^2 - x(:,4) g6 = @(x) (x(:,5) - 3).^2 + x(:,6) - 4 o.g = @(x) g1(x).*(g1(x)<0) + g2(x).*(g2(x)<0) + g3(x).*(g3(x)<0) + g4(x).*(g4(x)<0) + g5(x).*(g5(x)<0) + g6(x).*(g6(x)<0)

% constraints

o.d = 6

% dimension of decision variable

o.lb = [0 0 1 0 1 0]

% lower bounds

o.ub = [10 10 5 6 5 10]

% upper bounds

Problem properties

dimension objectives smoothness
6 2 -

Optimization example with nsga2

Algorithm options
o.maxit = 250	

% number of iterations

o.pop = 100

% 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 = 14

% frame frequency

optimview('nsga2',info)

Related functions

nsga2 | plot | scatter