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## ex4_1_1.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.
• Wingo, D, Globally Minimizing Polynomials Without Evaluating Derivatives. Intl. J. Comput. Math 17, 287 (1985).
• Original source: Global Model of Chapter 4 ex4.1.1.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value -7.4873

* NLP written by GAMS Convert at 07/19/01 13:39:33 * * Equation counts * Total E G L N X * 1 1 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 2 2 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 2 1 1 0 * * Solve m using NLP minimizing objvar; Variables x1,objvar; Equations e1; e1.. - (POWER(x1,6) - 2.08*POWER(x1,5) + 0.4875*POWER(x1,4) + 7.1*POWER(x1,3) - 3.95*sqr(x1) - x1) + objvar =E= 0.1; * set non default bounds x1.lo = -2; x1.up = 11; * set non default levels x1.l = 10; * 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;