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## ex8_1_3.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.
• Goldstein, A, and Price, J, On Descent From Local Minima. Mathematics of Computation 25 (1971), 569-574.
• Original source: Global Model of Chapter 8 ex8.1.3.gms from Floudas e.a. Test Problems

Point:

* NLP written by GAMS Convert at 07/19/01 13:39:53 * * 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.. - (1 + sqr(1 + x1 + x2)*(19 + 3*sqr(x1) - 14*x1 + 6*x1*x2 - 14*x2 + 3* sqr(x2)))*(30 + sqr(2*x1 - 3*x2)*(18 + 12*sqr(x1) - 32*x1 - 36*x1*x2 + 48* x2 + 27*sqr(x2))) + objvar =E= 0; * set non default bounds * 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;