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hmittelman.gms:

References:

• Leyffer, S, MacMINLP: AMPL Collection of Mixed Integer Nonlinear Programs.
• Mittelmann, H, Model Collection.
• Original source: AMPL model mittelman.mod from MacMINLP

Point: p1
Best known point (p1): Solution value 13.00 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 04/18/01 12:08:00 * * Equation counts * Total E G L N X * 8 1 0 7 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 17 1 16 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 123 1 122 0 * * Solve m using MINLP minimizing objvar; Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,objvar; Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. - (10*b5*b7*b9*b10*b14*b15*b16 + 7*b1*b2*b3*b4*b8*b11 + b3*b4*b6*b7*b8 + 12*b3*b4*b8*b11 + 8*b6*b7*b8*b12 + 3*b6*b7*b9*b14*b16 + b9*b10*b14*b16 + 5 *b5*b10*b14*b15*b16 + 3*b1*b2*b11*b12) + objvar =E= 0; e2.. 3*b5*b7*b9*b10*b14*b15*b16 - 12*b1*b2*b3*b4*b8*b11 - 8*b3*b4*b6*b7*b8 + b3 *b4*b8*b11 - 7*b1*b2*b11*b12 + 2*b13*b14*b15*b16 =L= -2; e3.. b1*b2*b3*b4*b8*b11 - 10*b3*b4*b6*b7*b8 - 5*b6*b7*b8*b12 + b6*b7*b9*b14*b16 + 7*b9*b10*b14*b16 + b5*b10*b14*b15*b16 =L= -1; e4.. 5*b5*b7*b9*b10*b14*b15*b16 - 3*b1*b2*b3*b4*b8*b11 - b3*b4*b6*b7*b8 - 2*b5* b10*b14*b15*b16 + b13*b14*b15*b16 =L= -1; e5.. 3*b1*b2*b3*b4*b8*b11 - 5*b5*b7*b9*b10*b14*b15*b16 + b3*b4*b6*b7*b8 + 2*b5* b10*b14*b15*b16 - b13*b14*b15*b16 =L= 1; e6.. (-4*b3*b4*b6*b7*b8) - 2*b3*b4*b8*b11 - 5*b6*b7*b9*b14*b16 + b9*b10*b14*b16 - 9*b5*b10*b14*b15*b16 - 2*b1*b2*b11*b12 =L= -3; e7.. 9*b1*b2*b3*b4*b8*b11 - 12*b3*b4*b8*b11 - 7*b6*b7*b8*b12 + 6*b6*b7*b9*b14* b16 + 2*b5*b10*b14*b15*b16 - 15*b1*b2*b11*b12 + 3*b13*b14*b15*b16 =L= -7; e8.. 5*b1*b2*b3*b4*b8*b11 - 8*b5*b7*b9*b10*b14*b15*b16 + 2*b3*b4*b6*b7*b8 - 7* b3*b4*b8*b11 - b6*b7*b8*b12 - 5*b9*b10*b14*b16 - 10*b1*b2*b11*b12 =L= -1; * set non default bounds \$if set nostart \$goto modeldef * set non default levels b1.l = 0.171747132; b2.l = 0.843266708; b3.l = 0.550375356; b4.l = 0.301137904; b5.l = 0.292212117; b6.l = 0.224052867; b7.l = 0.349830504; b8.l = 0.998117627; b9.l = 0.578733378; b10.l = 0.991133039; b11.l = 0.130692483; b12.l = 0.639718759; b13.l = 0.159517864; b14.l = 0.250080533; b15.l = 0.668928609; b16.l = 0.435356381; * 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;