polygon.gms
* NLP written by GAMS Convert at 11/29/04 16:21:12
*
* Equation counts
* Total E G L N X C
* 21 1 20 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 22 22 0 0 0 0 0 0
* FX 2 2 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 62 41 21 0
*
* Solve m using NLP maximizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21;
e1.. - x1 + x2 =G= 0;
e2.. - x2 + x3 =G= 0;
e3.. - x3 + x4 =G= 0;
e4.. - x4 + x5 =G= 0;
e5.. - x5 + x6 =G= 0;
e6.. - x6 + x7 =G= 0;
e7.. - x7 + x8 =G= 0;
e8.. - x8 + x9 =G= 0;
e9.. - x9 + x10 =G= 0;
e10.. - x10 + x11 =G= 0;
e11.. - x11 + x12 =G= 0;
e12.. - x12 + x13 =G= 0;
e13.. - x13 + x14 =G= 0;
e14.. - x14 + x15 =G= 0;
e15.. - x15 + x16 =G= 0;
e16.. - x16 + x17 =G= 0;
e17.. - x17 + x18 =G= 0;
e18.. - x18 + x19 =G= 0;
e19.. - x19 + x20 =G= 0;
e20.. - x20 + x21 =G= 0;
e21.. - 0.5*(sin(x2 - x1) + sin(x3 - x2) + sin(x4 - x3) + sin(x5 - x4) + sin(
x6 - x5) + sin(x7 - x6) + sin(x8 - x7) + sin(x9 - x8) + sin(x10 - x9) +
sin(x11 - x10) + sin(x12 - x11) + sin(x13 - x12) + sin(x14 - x13) + sin(
x15 - x14) + sin(x16 - x15) + sin(x17 - x16) + sin(x18 - x17) + sin(x19
- x18) + sin(x20 - x19) + sin(x21 - x20)) + objvar =E= 0;
* set non default bounds
x1.fx = 0;
x2.up = 6.28318530717959;
x3.up = 6.28318530717959;
x4.up = 6.28318530717959;
x5.up = 6.28318530717959;
x6.up = 6.28318530717959;
x7.up = 6.28318530717959;
x8.up = 6.28318530717959;
x9.up = 6.28318530717959;
x10.up = 6.28318530717959;
x11.up = 6.28318530717959;
x12.up = 6.28318530717959;
x13.up = 6.28318530717959;
x14.up = 6.28318530717959;
x15.up = 6.28318530717959;
x16.up = 6.28318530717959;
x17.up = 6.28318530717959;
x18.up = 6.28318530717959;
x19.up = 6.28318530717959;
x20.up = 6.28318530717959;
x21.fx = 6.28318530717959;
* set non default levels
x2.l = 0.5;
x3.l = 0.5;
x4.l = 0.5;
x5.l = 0.5;
x6.l = 0.5;
x7.l = 0.5;
x8.l = 0.5;
x9.l = 0.5;
x10.l = 0.5;
x11.l = 0.5;
x12.l = 0.5;
x13.l = 0.5;
x14.l = 0.5;
x15.l = 0.5;
x16.l = 0.5;
x17.l = 0.5;
x18.l = 0.5;
x19.l = 0.5;
x20.l = 0.5;
* 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;