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## ex4_1_9.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 4 ex4.1.9.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value -5.5080

* NLP written by GAMS Convert at 07/19/01 13:39:36 * * Equation counts * Total E G L N X * 3 1 0 2 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 3 3 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 7 5 2 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar; Positive Variables x1,x2; Equations e1,e2,e3; e1.. x1 + x2 + objvar =E= 0; e2.. 8*POWER(x1,3) - 2*POWER(x1,4) - 8*sqr(x1) + x2 =L= 2; e3.. 32*POWER(x1,3) - 4*POWER(x1,4) - 88*sqr(x1) + 96*x1 + x2 =L= 36; * set non default bounds x1.up = 3; x2.up = 4; * set non default levels x1.l = 2.3295; x2.l = 3.17846; * 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;