Poloni
Problem definition
Objective function
A1 = 0.5*sin(1) - 2*cos(1) + sin(2) - 1.5*cos(2) A2 = 1.5*sin(1) - cos(1) + 2*sin(2) - 0.5*cos(2) f = @(x) [ 1 + (A1 - (0.5*sin(x(:,1)) - 2*cos(x(:,1)) + sin(x(:,2)) - 1.5*cos(x(:,2)))).^2 + (A2 - (1.5*sin(x(:,1)) - cos(x(:,1)) + 2*sin(x(:,2)) - 0.5*cos(x(:,2)))).^2, (x(:,1) + 3).^2 + (x(:,2) + 1).^2]
Optimization settings
o = struct% initializing struct
o.d = 2% dimension of decision variable
o.lb = -pi% lower bounds
o.ub = pi% upper bounds
Problem properties
| dimension | objectives | smoothness |
| 2 | 2 | 0 |
Optimization example with nsga2
Algorithm options
o.maxit = 40% 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 = 4% frame frequency
optimview('nsga2',info)
References
[1] C. Poloni, G. Mosetti, and S. Contessi,"Multi objective optimisation by GAs : Application to system and component design", Paris, 1996