Hock Test Model

    {  Hock.mpl  }

    {  GAMS Model Library, http://www.gams.com/modlib/libhtml/hs62.htm  }

    {  Hock test model,  NLP,  Size: 1x3  }



TITLE
    Hock;

Option
    ModelType=Nonlinear
    ParserType=Extended

VARIABLE
    X1;X2;X3;

MODEL

    MIN OBJ = -32.174*(255*log((X1+X2+X3+0.03)/(0.09*X1+X2+X3+0.03))
                    + 280*log((X2+X3+0.03)/(0.07*X2+X3+0.03))
                    + 290*log((X3+0.03)/(0.13*X3+0.03)));

SUBJECT TO

    Eq1:  20*SQR(X1+X2+X3-1) = 0;


BOUNDS
    0 <= X1 <= 1;
    0 <= X2 <= 1;
    0 <= X3 <= 1;