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## ex9_2_5.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.
• Clark, P A, and Westerberg, A W, Bilevel Programming for Steady-State Chemical Process Design-i. Fundamentals and Algorithms. Comput. Chem. Eng. 14 (1990), 87.
• Original source: Global Model of Chapter 9 ex9.2.5.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value 5.0000

* NLP written by GAMS Convert at 07/19/01 13:40:21 * * Equation counts * Total E G L N X * 8 8 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 9 9 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 22 14 8 0 * * Solve m using NLP minimizing objvar; Variables x1,objvar,x3,x4,x5,x6,x7,x8,x9; Positive Variables x3,x4,x5,x6,x7,x8,x9; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. (x3 - 3)*(x3 - 3) + (x1 - 2)*(x1 - 2) - objvar =E= 0; e2.. x1 - 2*x3 + x4 =E= 1; e3.. - 2*x1 + x3 + x5 =E= 2; e4.. 2*x1 + x3 + x6 =E= 14; e5.. x4*x7 =E= 0; e6.. x5*x8 =E= 0; e7.. x6*x9 =E= 0; e8.. 2*x1 + x7 - 2*x8 + 2*x9 =E= 10; * set non default bounds x3.up = 8; * 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;