Neumaier2.gms
* NLP written by GAMS Convert at 11/11/08 09:34:51
*
* Equation counts
* Total E G L N X C
* 1 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 5 5 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 5 1 4 0
*
* Solve m using NLP minimizing objvar;
*
Variables x1,x2,x3,x4,objvar;
Positive Variables x1,x2,x3,x4;
Equations e1;
e1.. - (sqr(8 - (x1 + x2 + x3 + x4)) + sqr(18 - (sqr(x1) + sqr(x2) + sqr(x3)
+ sqr(x4))) + sqr(44 - (POWER(x1,3) + POWER(x2,3) + POWER(x3,3) + POWER(
x4,3))) + sqr(114 - (POWER(x1,4) + POWER(x2,4) + POWER(x3,4) + POWER(x4,4)
))) + objvar =E= 0;
* set non default bounds
x1.up = 1;
x2.up = 2;
x3.up = 3;
x4.up = 4;
* set non default levels
* set non default marginals
$if not set startsol $goto cont
$goto %startsol%
* Only local minimum
$label sol1
x1.l = 1;
x2.l = 2;
x3.l = 2;
x4.l = 3;
objvar.l = 0;
$goto cont
$label cont
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;