mhw4d.gms : Nonlinear Test Problem

Description

Another popular test problem for NLP codes.


Reference

  • Wright, M H, Numerical Methods for Nonlinearly Constraint Optimization. PhD thesis, Stanford University, 1976.

Small Model of Type : NLP


Category : GAMS Model library


Main file : mhw4d.gms

$Title Nonlinear Test Problem (MHW4D,SEQ=84)

$Ontext

  Another popular test problem for NLP codes.


Wright, M H, Numerical Methods for Nonlinearly Constraint Optimization.
PhD thesis, Stanford University, 1976.

$Offtext


Variables m, x1, x2, x3, x4, x5;
Equations funct, eq1, eq2, eq3;

funct.. m =e= sqr(x1-1)      + sqr(x1-x2)     + power(x2-x3,3)
            + power(x3-x4,4) + power(x4-x5,4) ;

eq1.. x1 + sqr(x2) + power(x3,3) =e= 3*sqrt(2) + 2 ;

eq2.. x2 - sqr(x3) + x4          =e= 2*sqrt(2) - 2 ;

eq3.. x1*x5 =e= 2 ;

Model wright / all / ;

x1.l = -1; x2.l = 2; x3.l = 1; x4.l = -2; x5.l = -2;

Solve wright using nlp minimizing m;