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ex14_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.
• Reklaitis, G, and Ragsdell, K, Engineering Optimization. John Wiley and Sons, New York, NY, 1983.
• Original source: Global Model of Chapter 14 ex14.1.1.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value 0.0000

* NLP written by GAMS Convert at 07/19/01 13:40:23 * * Equation counts * Total E G L N X * 5 1 0 4 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 * 14 6 8 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,objvar; Equations e1,e2,e3,e4,e5; e1.. - x3 + objvar =E= 0; e2.. 2*sqr(x2) + 4*x1*x2 - 42*x1 + 4*POWER(x1,3) - x3 =L= 14; e3.. (-2*sqr(x2)) - 4*x1*x2 + 42*x1 - 4*POWER(x1,3) - x3 =L= -14; e4.. 2*sqr(x1) + 4*x1*x2 - 26*x2 + 4*POWER(x2,3) - x3 =L= 22; e5.. (-2*sqr(x1)) - 4*x1*x2 + 26*x2 - 4*POWER(x2,3) - x3 =L= -22; * set non default bounds x1.lo = -5; x1.up = 5; x2.lo = -5; x2.up = 5; * 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;