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## st_e36.gms:

#### Reference:

• Li, H, and Chou, C, A global approach for nonlinear mixed discrete programming in design optimization. Engineering Optimization 22 (1994), 109-122.

Point: p1
Best known point (p1): Solution value -246.00 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 08/29/02 11:38:03 * * Equation counts * Total E G L N X C * 3 2 0 1 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 3 2 0 1 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 7 1 6 0 * * Solve m using MINLP minimizing objvar; Variables i1,x2,objvar; Integer Variables i1; Equations e1,e2,e3; e1.. (sqr(x2) - 6*x2 + 0.8*i1 - 11)*(sqr(3.25*x2 - 0.62*i1) + sqr(0.2*i1 + x2 - 6.35))*(sqr(3.55*x2 - 0.66*i1) + sqr(0.2*i1 + x2 - 6.85))*(sqr(3.6*x2 - 0.7*i1) + sqr(0.2*i1 + x2 - 7.1))*(sqr(3.8*x2 - 0.82*i1) + sqr(0.2*i1 + x2 - 7.9)) =E= 0; e2.. 0.6*i1 - 0.2*x2*i1 + exp(x2 - 3) =L= 1; e3.. - (2*sqr(x2) + 0.008*POWER(i1,3) - 3.2*x2*i1 - 2*i1) + objvar =E= 0; * set non default bounds i1.lo = 15; i1.up = 25; x2.lo = 3; x2.up = 5.5; \$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;