* AMPL Model by Hande Y. Benson
*
* Copyright (C) 2001 Princeton University
* All Rights Reserved
*
* Permission to use, copy, modify, and distribute this software and
* its documentation for any purpose and without fee is hereby
* granted, provided that the above copyright notice appear in all
* copies and that the copyright notice and this
* permission notice appear in all supporting documentation.

*   classification  NOR2-AN-3-3

Parameter cf ; cf = -56-(8/9);
Parameter cg ; cg = -126-(2/9);
Parameter ch ; ch = -143-(407/999);

Variable a , r , h , f ;

Equation Def_obj ;

Def_obj..

       f =e= sqr(-0.5*( a*(a+1)*r*h*h)+a*r*h-r*(1-exp{log(1+h)*(-a    )})-cf) +
             sqr(      -a*(a+1)*r*h*h +a*r*h  *(1-exp{log(1+h)*(-(a+1))})-cg) +
             sqr(      -a*(a+1)*r*h*h         *(1-exp{log(1+h)*(-(a+2))})-ch);


a.l = 1.0 ;
r.l = 0.0 ;
h.l = 1.0 ;

Model pfit3  /all/;

Solve pfit3   using nlp minimazing f ;

display f.l ;
display a.l , r.l , h.l;