windfac.gms:
Reference:
- Leyffer, S, MacMINLP: AMPL Collection of Mixed Integer Nonlinear Programs.
- Original source: AMPL model wind-fac.mod from MacMINLP
Point:
p1
Best known point (p1): Solution value 0.25 (global optimum, LINDOGLOBAL certificate)
<![CDATA[
$offlisting
* MINLP written by GAMS Convert at 05/14/01 17:28:58
*
* Equation counts
* Total E G L N X
* 14 14 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 15 12 0 3 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 38 14 24 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,x3,x4,i5,x6,x7,x8,x9,x10,x11,objvar,x13,x14,x15;
Integer Variables i1,i2,i5;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14;
e1.. - 12*i1 + i2 =E= 0;
e2.. - 12.566370616/i2 + x3 =E= 0;
e3.. - 0.25*i2 + x4 =E= 0;
e4.. - x4 + i5 =E= -1;
e5.. i1*sin(0.5*x3)*x6 - sin(0.5*i1*x3) =E= 0;
e6.. - sin(1.570796327*i5/x4) + x9 =E= 0;
e7.. - x9*x6 + x15 =E= 0;
e8.. i1*sin(1.5*x3)*x7 - sin(1.5*i1*x3) =E= 0;
e9.. - sin(4.712388981*i5/x4) + x10 =E= 0;
e10.. - x10*x7 + x13 =E= 0;
e11.. i1*sin(2.5*x3)*x8 - sin(2.5*i1*x3) =E= 0;
e12.. - sin(7.853981635*i5/x4) + x11 =E= 0;
e13.. - x11*x8 + x14 =E= 0;
e14.. - (x13*x13 + x14*x14) + objvar =E= 0;
* set non default bounds
i1.lo = 1; i1.up = 10;
i2.lo = 1; i2.up = 100;
i5.lo = 1; i5.up = 100;
x15.lo = 0.8;
$if set nostart $goto modeldef
* set non default levels
x3.l = 1.5;
x4.l = 1;
i1.l = 1.3;
i2.l = 15.4;
i5.l = 2.8;
* set non default marginals
$label modeldef
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
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