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## 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)

\$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;