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## ex4_1_8.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.
• Soland, R M, An Algorithm for Separable Nonconvex Programming Problems ii : Nonconvex Constraints. Mgnt. Sci. 17 (1971), 759.
• Original source: Global Model of Chapter 4 ex4.1.8.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value -16.7389

* NLP written by GAMS Convert at 07/19/01 13:39:36 * * Equation counts * Total E G L N X * 2 2 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 * 5 3 2 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar; Positive Variables x1,x2; Equations e1,e2; e1.. - (sqr(x2) - 7*x2) + 12*x1 + objvar =E= 0; e2.. - 2*POWER(x1,4) - x2 =E= -2; * set non default bounds x1.up = 2; x2.up = 3; * set non default levels x1.l = 0.7175; x2.l = 1.47; * 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;