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st_testgr3.gms:

References:

Point: p1 
Best known point (p1): Solution value -20.59 (global optimum, BARON certificate)


$offlisting * MINLP written by GAMS Convert at 09/01/02 11:06:08 * * Equation counts * Total E G L N X C * 21 1 0 20 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 21 1 0 20 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 182 162 20 0 * * Solve m using MINLP minimizing objvar; Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19 ,i20,objvar; Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17 ,i18,i19,i20; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19 ,e20,e21; e1.. 8*i1 + 5*i6 + 4*i7 + 6*i12 + 6*i13 + 9*i14 + 5*i19 + i20 =L= 220; e2.. 3*i1 + 4*i2 + 3*i7 + 7*i8 + 4*i13 + 9*i14 + 3*i15 + 2*i20 =L= 175; e3.. 2*i2 + i3 + 6*i8 + 8*i9 + 9*i14 + 9*i15 + 8*i16 =L= 215; e4.. 7*i3 + i4 + 7*i9 + 9*i10 + 2*i15 + 4*i16 + 9*i17 =L= 195; e5.. 4*i4 + 4*i5 + i10 + 3*i11 + 7*i16 + 2*i17 + 8*i18 =L= 145; e6.. 9*i5 + 5*i6 + 5*i11 + 7*i12 + i17 + 4*i18 + 6*i19 =L= 185; e7.. 5*i1 + 5*i6 + 3*i7 + 8*i12 + 5*i13 + 9*i18 + 9*i19 + i20 =L= 225; e8.. i1 + 9*i2 + 9*i7 + 3*i8 + 9*i13 + 7*i14 + 4*i19 + i20 =L= 215; e9.. 3*i1 + 6*i2 + 3*i3 + 4*i8 + 2*i9 + 6*i14 + 3*i15 + 8*i19 + i20 =L= 175; e10.. i2 + 2*i3 + 8*i4 + 4*i9 + i10 + 9*i15 + 6*i16 =L= 155; e11.. 9*i3 + 3*i4 + 6*i5 + i10 + 6*i11 + 9*i16 + 8*i17 =L= 210; e12.. 6*i4 + 3*i5 + 3*i6 + 6*i11 + 3*i12 + 8*i17 + 9*i18 =L= 190; e13.. 9*i5 + 8*i6 + 2*i7 + 7*i12 + 8*i13 + 4*i18 + 3*i19 =L= 205; e14.. 4*i1 + 6*i6 + 9*i7 + i8 + 6*i13 + 9*i14 + 8*i19 + 6*i20 =L= 245; e15.. 7*i1 + 3*i2 + 7*i7 + 4*i8 + 2*i9 + i14 + 3*i15 + 5*i20 =L= 160; e16.. 7*i2 + 9*i3 + 7*i8 + 9*i9 + 5*i10 + 2*i15 + 6*i16 =L= 225; e17.. 6*i3 + 9*i4 + 8*i9 + 4*i10 + 2*i11 + 6*i16 + 4*i17 =L= 195; e18.. 5*i4 + 5*i5 + 7*i10 + 8*i11 + 9*i12 + 8*i17 + 6*i18 =L= 240; e19.. 7*i5 + 5*i6 + 6*i11 + 2*i12 + 8*i13 + 6*i18 + 9*i19 =L= 215; e20.. i1 + i2 + i3 + i4 + i5 + i6 + i7 + i8 + i9 + i10 + i11 + i12 + i13 + i14 + i15 + i16 + i17 + i18 + i19 + i20 =L= 200; e21.. - (0.00055*i1*i1 - 0.0583*i1 + 0.0019*i2*i2 - 0.2318*i2 + 0.0002*i3*i3 + 0.0108*i3 + 0.00095*i4*i4 - 0.1634*i4 + 0.0046*i5*i5 - 0.138*i5 + 0.0035*i6*i6 + 0.357*i6 + 0.00315*i7*i7 - 0.1953*i7 + 0.00475*i8*i8 + 0.361*i8 + 0.0048*i9*i9 - 0.1824*i9 + 0.003*i10*i10 + 0.162*i10 + 0.00265 *i11*i11 - 0.4346*i11 + 0.0017*i12*i12 - 0.1054*i12 + 0.0012*i13*i13 + 0.2376*i13 + 0.00295*i14*i14 - 0.0059*i14 + 0.00315*i15*i15 + 0.189*i15 + 0.0021*i16*i16 - 0.0252*i16 + 0.00225*i17*i17 - 0.099*i17 + 0.0034*i18 *i18 - 0.3604*i18 + 0.001*i19*i19 + 0.022*i19 + 0.00305*i20*i20 - 0.3294* i20) + objvar =E= 0; * set non default bounds i1.up = 100; i2.up = 100; i3.up = 100; i4.up = 100; i5.up = 100; i6.up = 100; i7.up = 100; i8.up = 100; i9.up = 100; i10.up = 100; i11.up = 100; i12.up = 100; i13.up = 100; i14.up = 100; i15.up = 100; i16.up = 100; i17.up = 100; i18.up = 100; i19.up = 100; i20.up = 100; $if set nostart $goto modeldef * set non default levels * 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;