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## st_e38.gms:

#### Reference:

• Sandgren, E, Nonlinear Integer and Discrete Programming in Mechanical Design Optimization. Journal of Mechanical Design, Trans. ASME 112 (1990), 223-229.

Point: p1
Best known point (p1): Solution value 7197.73 (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 * 4 1 1 2 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 5 3 0 2 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 11 5 6 0 * * Solve m using MINLP minimizing objvar; Variables i1,i2,x3,x4,objvar; Integer Variables i1,i2; Equations e1,e2,e3,e4; e1.. - 0.0625*i1 + 0.0193*x3 =L= 0; e2.. - 0.0625*i2 + 0.00954*x3 =L= 0; e3.. 3.1415927*(sqr(x3)*x4 + 1.33333333333333*POWER(x3,3)) =G= 1296000; e4.. - (0.0389*i1*x3*x4 + 0.1111312*i2*sqr(x3) + 0.012348046875*sqr(i1)*x4 + 0.0775*sqr(i1)*x3) + objvar =E= 0; * set non default bounds i1.lo = 18; i1.up = 100; i2.lo = 10; i2.up = 100; x3.lo = 40; x3.up = 80; x4.lo = 20; x4.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;