[ MINLP World Home | MINLPLib | Contact ]

## ex1222.gms:

#### References:

• Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
• Floudas, C A, Nonlinear and Mixed Integer Optimization: Fundamentals and Applications. Oxford University Press, 1995.
• Original source: MINLP Model of Chapter 12 ex12.2.2.gms from Floudas e.a. Test Problems

Point: p1
Best known point (p1): Solution value 1.08 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 04/17/01 16:37:44 * * Equation counts * Total E G L N X * 4 1 0 3 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 4 3 1 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 9 7 2 0 * * Solve m using MINLP minimizing objvar; Variables x1,x2,b3,objvar; Binary Variables b3; Equations e1,e2,e3,e4; e1.. - exp(x1 - 0.2) - x2 =L= 0; e2.. x2 + 1.1*b3 =L= -1; e3.. x1 - 1.2*b3 =L= 0; e4.. - 5*sqr(x1 - 0.5) + 0.7*b3 + objvar =E= 0.8; * set non default bounds x1.lo = 0.2; x1.up = 1; x2.lo = -2.22554; x2.up = -1; \$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;