EMichalewicz.gms
* DNLP written by GAMS Convert at 11/11/08 09:11:47
*
* 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
* 6 6 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 6 1 5 0
*
* Solve m using DNLP minimizing objvar;
*
Variables x1,x2,x3,x4,x5,objvar;
Positive Variables x1,x2,x3,x4,x5;
Equations e1;
e1.. sin(IfThen(0,0.866025403784439*x1,IfThen(1,0.866025403784439*x1 - 0.5*x2,
x1)))*POWER(sin(0.318309886183791*IfThen(0,0.866025403784439*x1,IfThen(1,
0.866025403784439*x1 - 0.5*x2,x1))*IfThen(0,0.866025403784439*x1,IfThen(1,
0.866025403784439*x1 - 0.5*x2,x1))),20) + sin(IfThen(1,0.5*x1 +
0.866025403784439*x2,IfThen(1,0.866025403784439*x2 - 0.5*x3,x2)))*POWER(
sin(0.636619772367581*IfThen(1,0.5*x1 + 0.866025403784439*x2,IfThen(1,
0.866025403784439*x2 - 0.5*x3,x2))*IfThen(1,0.5*x1 + 0.866025403784439*x2,
IfThen(1,0.866025403784439*x2 - 0.5*x3,x2))),20) + sin(IfThen(0,0.5*x2 +
0.866025403784439*x3,IfThen(1,0.866025403784439*x3 - 0.5*x4,x3)))*POWER(
sin(0.954929658551372*IfThen(0,0.5*x2 + 0.866025403784439*x3,IfThen(1,
0.866025403784439*x3 - 0.5*x4,x3))*IfThen(0,0.5*x2 + 0.866025403784439*x3,
IfThen(1,0.866025403784439*x3 - 0.5*x4,x3))),20) + sin(IfThen(1,0.5*x3 +
0.866025403784439*x4,IfThen(1,0.866025403784439*x4 - 0.5*x5,x4)))*POWER(
sin(1.27323954473516*IfThen(1,0.5*x3 + 0.866025403784439*x4,IfThen(1,
0.866025403784439*x4 - 0.5*x5,x4))*IfThen(1,0.5*x3 + 0.866025403784439*x4,
IfThen(1,0.866025403784439*x4 - 0.5*x5,x4))),20) + sin(IfThen(0,0.5*x4 +
0.866025403784439*x5,IfThen(0,0.866025403784439*x5,x5)))*POWER(sin(
1.59154943091895*IfThen(0,0.5*x4 + 0.866025403784439*x5,IfThen(0,
0.866025403784439*x5,x5))*IfThen(0,0.5*x4 + 0.866025403784439*x5,IfThen(0,
0.866025403784439*x5,x5))),20) + objvar =E= 0;
* set non default bounds
x1.up = 3.14159265358979;
x2.up = 3.14159265358979;
x3.up = 3.14159265358979;
x4.up = 3.14159265358979;
x5.up = 3.14159265358979;
* set non default levels
* set non default marginals
$if not set startsol $goto cont
$goto %startsol%
$label sol1
x1.l = 2.683 ;
x2.l = 0.259 ;
x3.l = 2.074 ;
x4.l = 1.023 ;
x5.l = 1.720 ;
objvar.l = -4.687658;
$goto cont
$label cont
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using DNLP minimizing objvar;