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## ex7_3_2.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.
• Sideris, A, and Sanchez, Fast Computation of the Multivariable Stability Margin for Real Interrelated Uncertain Parameters. In ACC, Ed, Proc. ACC, Atlanta, GA. 1988.
• Original source: Global Model of Chapter 7 ex7.3.2.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value 1.0899

* NLP written by GAMS Convert at 07/19/01 13:39:50 * * Equation counts * Total E G L N X * 8 1 0 7 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 5 5 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 17 14 3 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,objvar; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. - x4 + objvar =E= 0; e2.. POWER(x1,4)*POWER(x2,4) - POWER(x1,4) - POWER(x2,4)*x3 =L= 0; e3.. - x1 - 0.25*x4 =L= -1.4; e4.. x1 - 0.25*x4 =L= 1.4; e5.. - x2 - 0.2*x4 =L= -1.5; e6.. x2 - 0.2*x4 =L= 1.5; e7.. - x3 - 0.2*x4 =L= -0.8; e8.. x3 - 0.2*x4 =L= 0.8; * 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;