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## ex7_2_3.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.
• Avriel, M, and Williams, A C, An Extension of Geometric Programming with Applications in Engineering Optimization. Journal of Engineering Mathematics 5 (1971), 187-194.
• Original source: Global Model of Chapter 7 ex7.2.3.gms from Floudas e.a. Test Problems

Point:

* NLP written by GAMS Convert at 07/19/01 13:39:48 * * Equation counts * Total E G L N X * 7 1 0 6 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 * 21 11 10 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,objvar; Equations e1,e2,e3,e4,e5,e6,e7; e1.. - x1 - x2 - x3 + objvar =E= 0; e2.. 833.33252*x4/x1/x6 + 100/x6 - 83333.333/(x1*x6) =L= 1; e3.. 1250*x5/x2/x7 + x4/x7 - 1250*x4/x2/x7 =L= 1; e4.. 1250000/(x3*x8) + x5/x8 - 2500*x5/x3/x8 =L= 1; e5.. 0.0025*x4 + 0.0025*x6 =L= 1; e6.. - 0.0025*x4 + 0.0025*x5 + 0.0025*x7 =L= 1; e7.. - 0.01*x5 + 0.01*x8 =L= 1; * set non default bounds x1.lo = 100; x1.up = 10000; x2.lo = 1000; x2.up = 10000; x3.lo = 1000; x3.up = 10000; x4.lo = 10; x4.up = 1000; x5.lo = 10; x5.up = 1000; x6.lo = 10; x6.up = 1000; x7.lo = 10; x7.up = 1000; x8.lo = 10; x8.up = 1000; * 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;