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nvs17.gms:

References:

Point: p1 
Best known point (p1): Solution value -1100.40 (global optimum, BARON certificate)


$offlisting * MINLP written by GAMS Convert at 07/24/02 13:01:18 * * Equation counts * Total E G L N X C * 8 1 7 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 8 1 0 7 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 57 1 56 0 * * Solve m using MINLP minimizing objvar; Variables i1,i2,i3,i4,i5,i6,i7,objvar; Integer Variables i1,i2,i3,i4,i5,i6,i7; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. (-9*sqr(i1)) - 10*i1*i2 - 8*sqr(i2) - 5*sqr(i3) - 6*i3*i1 - 10*i3*i2 - 7* sqr(i4) - 10*i4*i1 - 6*i4*i2 - 2*i4*i3 - 2*i5*i2 - 7*sqr(i5) - 6*i6*i1 - 2 *i6*i2 - 2*i6*i4 - 5*sqr(i6) + 6*i7*i1 + 2*i7*i2 + 4*i7*i3 + 2*i7*i4 - 4* i7*i5 + 4*i7*i6 - 8*sqr(i7) =G= -1930; e2.. (-6*sqr(i1)) - 6*i1*i2 - 6*sqr(i2) - 4*sqr(i3) - 2*i3*i1 - 2*i3*i2 - 8* sqr(i4) + 2*i4*i1 + 10*i4*i2 - 2*i5*i1 - 6*i5*i2 + 6*i5*i4 + 7*sqr(i5) - 2 *i6*i2 + 8*i6*i3 + 2*i6*i4 - 4*i6*i5 - 8*sqr(i6) - 6*i7*i1 - 10*i7*i2 - 2* i7*i3 + 10*i7*i4 - 10*i7*i5 - 8*sqr(i7) =G= -2940; e3.. (-9*sqr(i1)) - 6*sqr(i2) - 8*sqr(i3) + 2*i2*i1 + 2*i3*i2 - 6*sqr(i4) + 4* i4*i1 + 4*i4*i2 - 2*i4*i3 - 6*i5*i1 - 2*i5*i2 + 4*i5*i4 + 6*sqr(i5) + 2*i6 *i1 + 4*i6*i2 - 6*i6*i4 - 2*i6*i5 - 5*sqr(i6) + 2*i7*i2 - 4*i7*i3 - 6*i7* i5 - 4*i7*i6 - 7*sqr(i7) =G= -1840; e4.. (-8*sqr(i1)) - 4*sqr(i2) - 9*sqr(i3) - 7*sqr(i4) - 2*i2*i1 - 2*i3*i1 - 4* i3*i2 + 6*i4*i1 + 2*i4*i2 - 2*i4*i3 - 6*i5*i1 - 4*i5*i2 - 2*i5*i3 + 6*i5* i4 + 6*sqr(i5) - 10*i6*i1 - 10*i6*i3 + 4*i6*i4 - 2*i6*i5 - 7*sqr(i6) + 6* i7*i1 - 2*i7*i2 - 2*i7*i3 + 6*i7*i5 + 2*i7*i6 - 6*sqr(i7) =G= -1650; e5.. 2*i2*i1 - 4*sqr(i1) - 5*sqr(i2) - 6*i3*i1 - 8*sqr(i3) - 2*i4*i1 + 6*i4*i2 - 2*i4*i3 - 6*sqr(i4) - 4*i5*i1 + 2*i5*i2 - 6*i5*i3 - 8*i5*i4 - 7*sqr(i5) + 4*i6*i1 - 4*i6*i2 + 6*i6*i3 + 4*i6*i5 - 7*sqr(i6) + 4*i7*i1 - 4*i7*i2 - 4*i7*i3 + 4*i7*i4 + 4*i7*i5 + 4*i7*i6 - 8*sqr(i7) =G= -1220; e6.. 2*i2*i1 - 7*sqr(i1) - 7*sqr(i2) - 6*i3*i1 - 2*i3*i2 - 6*sqr(i3) - 2*i4*i1 + 2*i4*i2 - 2*i4*i3 - 5*sqr(i4) - 2*i5*i1 - 4*i5*i3 + 2*i5*i4 - 5*sqr(i5) + 2*i6*i1 - 4*i6*i2 + 4*i6*i3 + 2*i6*i4 + 6*i6*i5 - 9*sqr(i6) + 4*i7*i2 - 4*i7*i3 + 4*i7*i4 - 4*i7*i5 + 8*i7*i6 - 6*sqr(i7) =G= -1020; e7.. (-9*sqr(i1)) - 4*i2*i1 - 8*sqr(i2) + 4*i3*i1 + 2*i3*i2 - 7*sqr(i3) + 4*i4* i1 + 4*i4*i3 - 7*sqr(i4) - 2*i5*i1 - 12*i5*i2 - 4*i5*i3 - 8*sqr(i5) - 8*i6 *i1 + 2*i6*i2 - 2*i6*i5 - 6*sqr(i6) - 4*i7*i1 - 6*i7*i2 - 2*i7*i3 + 10*i7* i4 - 2*i7*i5 + 2*i7*i6 - 7*sqr(i2) =G= -2740; e8.. - (7*sqr(i1) + 6*sqr(i2) + 14.2*i1 - 11.6*i2 + 8*sqr(i3) - 6*i3*i1 + 4*i3 *i2 + 18.4*i3 + 6*sqr(i4) + 2*i4*i1 + 2*i4*i3 - 24.8*i4 + 7*sqr(i5) - 4*i5 *i1 - 2*i5*i2 - 6*i5*i3 - 132.8*i5 + 4*sqr(i6) + 2*i6*i1 - 4*i6*i2 - 4*i6* i3 - 2*i6*i4 + 6*i6*i5 - 84.4*i6 + 6*sqr(i7) - 2*i7*i1 - 6*i7*i2 - 2*i7*i3 + 4*i7*i5 + 4*i7*i6 - 88*i7) + objvar =E= 0; * set non default bounds i1.up = 200; i2.up = 200; i3.up = 200; i4.up = 200; i5.up = 200; i6.up = 200; i7.up = 200; $if set nostart $goto modeldef * set non default levels i1.l = 1; i2.l = 1; i3.l = 1; i4.l = 1; i5.l = 1; i6.l = 1; i7.l = 1; * 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;