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Evolution and Optimum Seeking

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( + ) <strong>Evolution</strong> Strategy KORR 413<br />

Example 1<br />

Minimize<br />

with xi<br />

0, integer for all i = 1(1)n<br />

F (x) =<br />

nX<br />

i=1<br />

(xi ; i)<br />

---------------------------------------------------------<br />

FUNCTION F(N,X)<br />

DIMENSION X(N)<br />

F=0.<br />

DO 1 I=1,N<br />

IX=IFIX(ABS(X(I)))<br />

XI=FLOAT(IX-I)<br />

F=F+XI*XI<br />

1 CONTINUE<br />

RETURN<br />

END<br />

---------------------------------------------------------<br />

Example 2<br />

Minimize<br />

with x 1 from f1.3, 1.5, 2.2, 2.8g only<br />

F (x) =(x 1 ; 2) 2 +(x 1 ; 2x 2) 2<br />

---------------------------------------------------------<br />

FUNCTION F(N,X)<br />

DIMENSION X(N), Y(4)<br />

DATA Y /1.3,1.5,2.2,2.8/<br />

DO 1 I=1,4<br />

X1=Y(I)<br />

IF (X(1)-X1) 2,2,1<br />

1 CONTINUE<br />

2 F1=X1-2.<br />

F2=X1-X(2)-X(2)<br />

F =F1*F1+F2*F2<br />

RETURN<br />

END<br />

---------------------------------------------------------

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