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st_e32.gms:

Reference:

Point: p1 
Best known point (p1): Solution value -1.43 (global optimum, BARON certificate)

$offlisting * MINLP written by GAMS Convert at 08/30/02 09:12:19 * * Equation counts * Total E G L N X C * 19 18 1 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 36 17 0 19 0 0 0 0 * FX 1 0 0 1 0 0 0 0 * * Nonzero counts * Total const NL DLL * 169 106 63 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 ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35 ,objvar; Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17 ,i18,i19; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19; e1.. 23.58*i1 + 22.88*i2 + 21.74*i3 + 18.25*i4 - 0.03*i5 + 38.13*i6 + 66.86*i7 + 93.84*i8 + 92.88*i9 + 76.34*i10 + 22.42*i11 + 31.22*i12 + 73.23*i13 + 50.17*i14 + 52.82*i15 + 11.74*i16 + 63.56*i17 + 68.78*i18 + 52.1*i19 - x20 =E= -198.2; e2.. - x20/(0.584 + 0.0136065*i1 - sqr(0.0141*i1 + 0.0189*i2 + 0.0164*i3 + 0.0067*i4 + 0.0111*i5 + 0.0105*i6 + 0.0133*i7 + 0.0068*i8 + 0.0741*i9 + 0.0204*i10 + 0.0168*i11 + 0.0098*i12 + 0.0243*i13 + 0.0295*i14 + 0.013*i15 + 0.0169*i16 + 0.0031*i17 + 0.0119*i18 + 0.0019*i19) + 0.0182385*i2 + 0.015826*i3 + 0.0064655*i4 + 0.0107115*i5 + 0.0101325*i6 + 0.0128345*i7 + 0.006562*i8 + 0.0715065*i9 + 0.02316*i10 + 0.016212*i11 + 0.009457*i12 + 0.0234495*i13 + 0.0284675*i14 + 0.012545*i15 + 0.0163085*i16 + 0.0029915* i17 + 0.0114835*i18 + 0.0018335*i19) + x21 =E= 0; e3.. - 1/(0.113 + 0.014*i1 + 0.0096*i2 + 0.0044*i3 - 0.0011*i4 + 0.0089*i5 + 0.0081*i6 - 0.0025*i7 + 0.0066*i8 - 0.0048*i9 - 0.012*i10 + 0.0017*i11 - 0.0016*i12 - 0.0013*i13 - 0.0013*i14 - 0.005*i15 - 0.0042*i16 - 0.002*i17 - 0.0017*i18 - 0.0019*i19)**2 + x22 =E= 0; e4.. 8.8*i1 + 7.26*i2 + 5*i3 + 1.76*i4 + 4*i5 + 8.6*i6 + 9*i7 + 8.6*i8 + 10.7*i9 + 10.7*i10 + 8.4*i11 + 8.4*i12 + 14*i13 + 10.5*i14 + 10.5*i15 + 7.5*i16 + 10.7*i17 + 8*i18 + 8*i19 - x23 =E= 0; e5.. 2.373*i1 + 2.226*i2 + 1.691*i3 + 0.636*i4 - 0.67*i5 + 4.532*i6 + 6.582*i7 + 9.52*i8 + 16.826*i9 + 12.499*i10 + 2.41*i11 + 4.682*i12 + 10.788*i13 + 6.436*i14 + 6.93*i15 + 1.896*i16 + 6.884*i17 + 6.817*i18 + 5.984*i19 - x24 =E= -15.3; e6.. - x20/x21 + x32 =E= 0; e7.. - 272.04/x21 + x30 =E= 0; e8.. - 316.48/x21 + x31 =E= 0; e9.. - x32*log(x22)/(1 - x32) + x33 =E= 0; e10.. - 0.4605*x33 + x34 =E= 0.4835; e11.. - (x33 - (1 + x32)*x34)/(3 + x32)/sqr(1 - x32)/x34 + x35 =E= 0; e12.. - exp(-x34*(1 + x35*(3 + x30)*POWER(1 - x30,3) - sqr(x30))/x30) + x28 =E= 0; e13.. - exp(-x34*(1 + x35*(3 + x31)*POWER(1 - x31,3) - sqr(x31))/x31) + x29 =E= 0; e14.. - x28*x22 + x26 =E= 0; e15.. - x29*x22 + x27 =E= 0; e16.. - x24*((1 - x30)/(1 - x32))**0.38 + x25 =E= 0; e17.. i1 - i3 - 2*i4 + i5 + i6 + i7 + i8 + i9 + i10 + i13 - i16 + i17 =E= 2; e18.. i1 + i2 + i3 + i4 + i5 + i6 + i7 + i8 + i9 + i10 + i11 + i12 + i13 + i14 + i15 + i16 + i17 + i18 + i19 =G= 2; e19.. x25/x23 + objvar =E= 0; * set non default bounds i1.up = 14; i2.up = 14; i3.up = 14; i4.up = 14; i5.up = 14; i6.up = 14; i7.up = 14; i8.up = 14; i9.up = 14; i10.up = 14; i11.up = 14; i12.up = 14; i13.up = 14; i14.fx = 0; i15.up = 14; i16.up = 14; i17.up = 14; i18.up = 14; i19.up = 14; x20.lo = 1; x20.up = 1000; x21.lo = 1; x21.up = 1000; x22.lo = 1; x22.up = 100; x23.lo = 1; x23.up = 32.2; x24.lo = 1; x24.up = 100; x25.lo = 18.4; x25.up = 100; x26.lo = 1.4; x26.up = 14; x27.lo = 1.4; x27.up = 14; x28.lo = 0.001; x28.up = 1; x29.lo = 0.001; x29.up = 1; x30.lo = 0.001; x30.up = 1; x31.lo = 0.001; x31.up = 1; x32.lo = 0.001; x32.up = 1; x33.lo = 0.001; x33.up = 10; x34.lo = 0.001; x34.up = 10; x35.lo = -10; x35.up = 10; $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;