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## gear3.gms:

#### References:

• GAMS Development, GAMS Model Library.
• GAMS Development, Reformulation of Models from MacMINLP.
• Deb, K, and Goyal, M, Optimizing Engineering Designs Using a Combined Genetic Search. In Back, T, Ed, Proceedings of the Seventh International Conference on Genetic Algorithms. 1997, pp. 521-528.
• Original source: GAMS model gear.gms from Gams Model Library and AMPL model geartrain.mod from MacMINLP

Point: p1
Best known point (p1): Solution value 0.00 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 04/17/01 16:38:54 * * Equation counts * Total E G L N X * 5 5 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 9 5 0 4 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 13 9 4 0 * * Solve m using MINLP minimizing objvar; Variables objvar,x2,x3,x4,x5,i6,i7,i8,i9; Integer Variables i6,i7,i8,i9; Equations e1,e2,e3,e4,e5; e1.. - sqr(0.14427932477276 - x2*x3/(x4*x5)) + objvar =E= 0; e2.. x2 - i6 =E= 0; e3.. x3 - i7 =E= 0; e4.. x4 - i8 =E= 0; e5.. x5 - i9 =E= 0; * set non default bounds x2.lo = 12; x2.up = 60; x3.lo = 12; x3.up = 60; x4.lo = 12; x4.up = 60; x5.lo = 12; x5.up = 60; i6.lo = 12; i6.up = 60; i7.lo = 12; i7.up = 60; i8.lo = 12; i8.up = 60; i9.lo = 12; i9.up = 60; \$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;