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## ex2_1_4.gms:

#### Reference:

• 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.
• Original source: Global Model of Chapter 2 ex2.1.4.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value -11.0000

* NLP written by GAMS Convert at 07/19/01 13:39:29 * * Equation counts * Total E G L N X * 6 1 0 5 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 7 7 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 37 36 1 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,objvar; Positive Variables x1,x2,x3,x4,x5,x6; Equations e1,e2,e3,e4,e5,e6; e1.. - (6.5*x1 - 0.5*x1*x1) + x2 + 2*x3 + 3*x4 + 2*x5 + x6 + objvar =E= 0; e2.. x1 + 2*x2 + 8*x3 + x4 + 3*x5 + 5*x6 =L= 16; e3.. - 8*x1 - 4*x2 - 2*x3 + 2*x4 + 4*x5 - x6 =L= -1; e4.. 2*x1 + 0.5*x2 + 0.2*x3 - 3*x4 - x5 - 4*x6 =L= 24; e5.. 0.2*x1 + 2*x2 + 0.1*x3 - 4*x4 + 2*x5 + 2*x6 =L= 12; e6.. - 0.1*x1 - 0.5*x2 + 2*x3 + 5*x4 - 5*x5 + 3*x6 =L= 3; * set non default bounds x1.up = 1; x4.up = 1; x5.up = 1; x6.up = 2; * set non default levels x2.l = 6; x4.l = 1; x5.l = 1; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; \$if NOT '%gams.u1%' == '' \$include '%gams.u1%' Solve m using NLP minimizing objvar;