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## ex8_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.
• Adjiman, C S, Dallwig, S, Floudas, C A, and Neumaier, A, A Global Optimization Method, aBB, For General Twice-Differentiable NLPs - I. Theoretical Advances. Comput. Chem. Eng. 22 (1998), 1137-1158.
• Original source: Global Model of Chapter 8 ex8.1.1.gms from Floudas e.a. Test Problems

Point:

* NLP written by GAMS Convert at 07/19/01 13:39:52 * * 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 * 3 3 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 3 1 2 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar; Equations e1; e1.. - (cos(x1)*sin(x2) - x1/(1 + sqr(x2))) + objvar =E= 0; * set non default bounds x1.lo = -1; x1.up = 2; x2.lo = -1; x2.up = 1; * set non default levels * 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;