hs116.gms
* NLP written by GAMS Convert at 06/26/06 16:29:35
*
* Equation counts
* Total E G L N X C
* 16 1 14 1 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 14 14 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 50 19 31 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16;
e1.. - x2 + x3 =G= 0;
e2.. - x1 + x2 =G= 0;
e3.. - 0.002*x7 + 0.002*x8 =G= -1;
e4.. x11 + x12 + x13 =G= 50;
e5.. 1.231059*x3*x10 - 1.262626*x10 + x13 =G= 0;
e6.. (-0.975*x2*x5) - 0.03475*x2 + x5 + 0.00975*sqr(x2) =G= 0;
e7.. (-0.975*x3*x6) - 0.03475*x3 + x6 + 0.00975*sqr(x3) =G= 0;
e8.. (-0.975*x1*x4) - 0.03475*x1 + x4 + 0.00975*sqr(x1) =G= 0;
e9.. 1.231059*x2*x9 - 1.262626*x9 + x12 =G= 0;
e10.. 1.231059*x1*x8 - 1.262626*x8 + x11 =G= 0;
e11.. x5*x7 - x1*x8 - x4*x7 + x4*x8 =G= 0;
e12.. (-0.002*(x2*x9 + x5*x8 - x1*x8 - x6*x9)) - x5 - x6 =G= -1;
e13.. x2*x9 - x3*x10 - x6*x9 - 500*x2 + 500*x6 + x2*x10 =G= 0;
e14.. x2 - 0.002*(x2*x10 - x3*x10) =G= 0.9;
e15.. x11 + x12 + x13 =L= 250;
e16.. - x11 - x12 - x13 + 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 = 0.0001; x4.up = 0.1;
x5.lo = 0.1; x5.up = 0.9;
x6.lo = 0.1; x6.up = 0.9;
x7.lo = 0.1; x7.up = 1000;
x8.lo = 0.1; x8.up = 1000;
x9.lo = 500; x9.up = 1000;
x10.lo = 0.1; x10.up = 500;
x11.lo = 1; x11.up = 150;
x12.lo = 0.0001; x12.up = 150;
x13.lo = 0.0001; x13.up = 150;
* set non default levels
x1.l = 0.5;
x2.l = 0.8;
x3.l = 0.9;
x4.l = 0.1;
x5.l = 0.14;
x6.l = 0.5;
x7.l = 489;
x8.l = 80;
x9.l = 650;
x10.l = 450;
x11.l = 150;
x12.l = 150;
x13.l = 150;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;