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## ex3_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.
• Hock, W, and Schittkowski, K, Text Examples for Nonlinear Programming Codes. In Test Examples for Nonlinear Programming Codes, Lecture Notes in Economics and Mathematical Systems. Springer Verlag, 1981.
• Original source: Global Model of Chapter 3 ex3.1.1.gms from Floudas e.a. Test Problems

Point: p1
Best known point: p1 with value 7049.2480

* NLP written by GAMS Convert at 07/19/01 13:39:31 * * 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 13 8 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.. 0.0025*x4 + 0.0025*x6 =L= 1; e3.. - 0.0025*x4 + 0.0025*x5 + 0.0025*x7 =L= 1; e4.. - 0.01*x5 + 0.01*x8 =L= 1; e5.. 100*x1 - x1*x6 + 833.33252*x4 =L= 83333.333; e6.. x2*x4 - x2*x7 - 1250*x4 + 1250*x5 =L= 0; e7.. x3*x5 - x3*x8 - 2500*x5 =L= -1250000; * 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 x1.l = 579.19; x2.l = 1360.13; x3.l = 5109.92; x4.l = 182.01; x5.l = 295.6; x6.l = 217.99; x7.l = 286.4; x8.l = 395.6; * 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;