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## ex3_1_4.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.
• Ben-Sadd, S, An Algorithm for a Class of Nonlinear Nonconvex Optimization Problems. PhD thesis, University of California, Los Angeles, 1989.
• Original source: Global Model of Chapter 3 ex3.1.4.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value -4.0000

* NLP written by GAMS Convert at 07/19/01 13:39:32 * * Equation counts * Total E G L N X * 4 1 1 2 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 4 4 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 12 9 3 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,objvar; Positive Variables x1,x2,x3; Equations e1,e2,e3,e4; e1.. 2*x1 - x2 + x3 + objvar =E= 0; e2.. x1*(4*x1 - 2*x2 + 2*x3) + x2*(2*x2 - 2*x1 - x3) + x3*(2*x1 - x2 + 2*x3) - 20*x1 + 9*x2 - 13*x3 =G= -24; e3.. x1 + x2 + x3 =L= 4; e4.. 3*x2 + x3 =L= 6; * set non default bounds x1.up = 2; x3.up = 3; * set non default levels x1.l = 0.5; x3.l = 3; * 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;