2-2.tex

较好的一种新的关于遗传算法的源程序

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\noindent Liu B., {\em Uncertain Programming}, John Wiley \& Sons, New York, 1999

\vskip 1.5cm
\noindent {\bf Example 2.2} This is a complex nonlinear goal programming model,
$$\left\{\begin{array}{l}
\mbox{lexmin}\,\,\{d_1^-,d_2^-,d_3^+,d_4^-+d_4^+\}\\[0.15 cm]
\mbox{subject to:} \\ [0.1 cm]
\qquad \sum\limits_{i=1}^5x_i\sin(i\pi\cdot x_i)+d_1^--d_1^+=18\\[0.3cm]
\qquad \sum\limits_{i=1}^4x_i\sin(i\pi\cdot x_i)+d_2^--d_2^+=15\\[0.3cm]
\qquad \sum\limits_{i=1}^3x_i\sin(i\pi\cdot x_i)+d_3^--d_3^+=10\\[0.3cm]
\qquad \sum\limits_{i=1}^2x_i\sin(i\pi\cdot x_i)+d_4^--d_4^+=0\\[0.3cm]
\qquad x_1^2+x_2^2+x_3^2+x_4^2+x_5^2\le 100.
\end{array}\right.$$

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