📄 objpush.m
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% OBJPUSH.M (OBJective function for PUSH-cart problem)
%
% This function implements the PUSH-CART PROBLEM.
%
% Syntax: ObjVal = objpush(Chrom,rtn_type)
%
% Input parameters:
% Chrom - Matrix containing the chromosomes of the current
% population. Each row corresponds to one individual's
% string representation.
% if Chrom == [], then special values will be returned
% rtn_type - if Chrom == [] and
% rtn_type == 1 (or []) return boundaries
% rtn_type == 2 return title
% rtn_type == 3 return value of global minimum
%
% Output parameters:
% ObjVal - Column vector containing the objective values of the
% individuals in the current population.
% if called with Chrom == [], then ObjVal contains
% rtn_type == 1, matrix with the boundaries of the function
% rtn_type == 2, text for the title of the graphic output
% rtn_type == 3, value of global minimum
%
%
% Author: Hartmut Pohlheim
% History: 19.02.94 file created (copy of valharv.m)
% 01.03.94 name changed in obj*
% 15.01.03 updated for MATLAB v6 by Alex Shenfield
function ObjVal = objpush(Chrom,rtn_type);
% Dimension of objective function
Dim = 20;
% values from MICHALEWICZ
x0 = [0 0];
% Compute population parameters
[Nind,Nvar] = size(Chrom);
% Check size of Chrom and do the appropriate thing
% if Chrom is [], then define size of boundary-matrix and values
if Nind == 0
% return text of title for graphic output
if rtn_type == 2
ObjVal = ['PUSH-CART PROBLEM-' int2str(Dim)];
% return value of global minimum
elseif rtn_type == 3
ObjVal = -(1/3 - ((3*Dim-1)/(6*Dim^2)) - (1/(2*Dim^3))*sum((1:Dim-1).^2));
% define size of boundary-matrix and values
else
% lower and upper bound, identical for all n variables
ObjVal = [0; 5];
ObjVal = rep(ObjVal,[1 Dim]);
end
% if Dim variables, compute values of function
elseif Nvar == Dim
ObjVal = zeros(Nind,1);
X = rep(x0,[Nind 1]);
for irun = 1:Nvar,
Xsave = X;
X(:,1) = Xsave(:,2);
X(:,2) = 2 * X(:,2) - Xsave(:,1) + (1/Dim^2) * Chrom(:,irun);
end
X;
ObjVal = -(X(:,1) - (1/(2*Dim)) * sum((Chrom.^2)')');
% otherwise error, wrong format of Chrom
else
error('size of matrix Chrom is not correct for function evaluation');
end
% End of function
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