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)