polygon1.gms
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* NLP written by GAMS Convert at 04/01/08 01:25:58
*
* Equation counts
* Total E G L N X C
* 7 1 3 3 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 9 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 27 7 20 0
*
* Solve m using NLP maximizing objvar;
*
Variables x1,x2,x3,x4,x5,x6,x7,x8,objvar;
Negative Variables x8;
Equations e1,e2,e3,e4,e5,e6,e7;
e1.. x1*x1 + x3*x3 - 2*x1*x3*cos(x7 - x5) =L= 1;
e2.. x1*x1 + x4*x4 - 2*x1*x4*cos(x8 - x5) =L= 1;
e3.. x2*x2 + x4*x4 - 2*x2*x4*cos(x8 - x6) =L= 1;
e4.. - x5 + x6 =G= 0.01;
e5.. - x6 + x7 =G= 0.01;
e6.. - x7 + x8 =G= 0.01;
e7.. - 0.5*(x2*x1*sin(x6 - x5) + x3*x2*sin(x7 - x6) + x4*x3*sin(x8 - x7))
+ objvar =E= 0;
* set non default bounds
x1.lo = 0.1; x1.up = 1;
x2.lo = 0.1; x2.up = 1;
x3.lo = 0.1; x3.up = 1;
x4.lo = 0.1; x4.up = 1;
x8.up = 3.14;
* set non default levels
x1.l = 0.1;
x2.l = 0.1;
x3.l = 0.1;
x4.l = 0.1;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP maximizing objvar;
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