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% OBJFUN1B.M (OBJective function for rotated hyper-ellipsoid) % % This function implements the rotated hyper-ellipsoid. % % Syntax: ObjVal = objfun1b(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: 07.04.94 file created % 13.01.03 updated for MATLAB v6 by Alex Shenfield function ObjVal = objfun1b(Chrom,rtn_type); % Dimension of objective function Dim = 10; % 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 = ['Rotated Hyper-Ellipsoid 1b-' int2str(Dim)]; % return value of global minimum elseif rtn_type == 3 ObjVal = 0; % define size of boundary-matrix and values else % lower and upper bound, identical for all n variables ObjVal = [-65; 65]; ObjVal = ObjVal(1:2,ones(Dim,1)); end % if Dim variables, compute values of function elseif Nvar == Dim % function 1b, sum over i of ( sum of xj )^2 for i = 1:Dim, j = 1:i (Dim=30) % n = Dim, -65 <= xj <= 65 % global minimum at (xi)=(0) ; fmin=0 ObjVal = sum(cumsum(Chrom').^2)'; % otherwise error, wrong format of Chrom else error('size of matrix Chrom is not correct for function evaluation'); end % End of function