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## oaer.gms:

#### References:

• Floudas, C A, and Schweiger, C A, MINOPT Model Library.
• Floudas, C A, Nonlinear and Mixed Integer Optimization: Fundamentals and Applications. Oxford University Press, 1995.
• Original source: MINOPT model oaer_test.dat from MINOPT Model Library

Point: p1
Best known point (p1): Solution value -1.92 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 04/17/01 16:40:26 * * Equation counts * Total E G L N X * 8 4 0 4 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 10 7 3 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 26 24 2 0 * * Solve m using MINLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,b7,b8,b9,objvar; Positive Variables x1,x2,x3,x4,x5,x6; Binary Variables b7,b8,b9; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. - 1.8*x1 - 1.8*x2 - 7*x3 - x4 - 1.2*x5 + 11*x6 - 3.5*b7 - b8 - 1.5*b9 + objvar =E= 0; e2.. - log(1 + x1) + x4 =E= 0; e3.. - 1.2*log(1 + x2) + x5 =E= 0; e4.. - 0.9*x3 - 0.9*x4 - 0.9*x5 + x6 =E= 0; e5.. x6 - b7 =L= 0; e6.. x4 - 1.111111*b8 =L= 0; e7.. x5 - 1.111111*b9 =L= 0; e8.. b8 + b9 =L= 1; * set non default bounds \$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;