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## st_e03.gms:

#### References:

• Bracken, J, and McCormick, G P, Selected Applications of Nonlinear Programming. John Wiley and Sons, New York, 1968.
• Tawarmalani, M, and Sahinidis, N, Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications. Kluwer, 2002.

Point:

* NLP written by GAMS Convert at 08/29/02 12:49:52 * * Equation counts * Total E G L N X C * 8 7 1 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 11 11 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 28 17 11 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,objvar; Positive Variables x3,x5; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. x1 - 1.22*x4 + x5 =E= 0; e2.. x9 + 0.222*x10 =E= 35.82; e3.. 3*x7 - x10 =E= 133; e4.. 0.038*sqr(x8) - 1.098*x8 - 0.325*x6 + x7 =E= 57.425; e5.. x4*x9*x6 + 1000*x3*x6 - 98000*x3 =E= 0; e6.. - x1*x8 + x2 + x5 =E= 0; e7.. 0.13167*x8*x1 + 1.12*x1 - 0.00667*sqr(x8)*x1 - x4 =G= 0; e8.. 0.063*x4*x7 - 5.04*x1 - 0.035*x2 - 10*x3 - 3.36*x5 + objvar =E= 0; * set non default bounds x1.lo = 1; x1.up = 2000; x2.lo = 1; x2.up = 16000; x3.up = 120; x4.lo = 1; x4.up = 5000; x5.up = 2000; x6.lo = 85; x6.up = 93; x7.lo = 90; x7.up = 95; x8.lo = 3; x8.up = 12; x9.lo = 1.2; x9.up = 4; x10.lo = 145; x10.up = 162; * 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;