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## mathopt3.gms:

#### References:

• Mathematica, MathOptimizer - An Advanced Modeling and Optimization System for Mathematica Users. http://www.wolfram.com/products/applications/mathoptimizer/
• Pinter, J D, Global Optimization in Action. Kluwer Acadameic Publishers, Dordrecht/Boston/London, 1996.
• Pinter, J D, Computational Global Optimization in Nonlinear Systems. Lionheart Publishing, Atlanta, GA, 2001.
• Original source: GAMS Model of mathopt3.gms from GAMS Model Library

Point:

* NLP written by GAMS Convert at 04/20/04 14:50:36 * * Equation counts * Total E G L N X C * 8 5 0 3 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 7 7 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 43 19 24 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,objvar; Equations e1,e2,e3,e4,e5,e6,e7,e8; e1.. - (sqr(x1 + x2) + sqr(x3 - x5) + sqr(x6 - x4) + 2*sqr(x1 + x3 - x4) + sqr(x2 - x1 + x3 - x4) + 10*sqr(sin(x1 + x5 - x6))) + objvar =E= 0; e2.. sqr(x1) - sin(x2) - x4 + x5 + x6 =E= 0; e3.. x1*x3 - x2*x4*x1 - sin((-x1) - x3 + x6) - x5 =E= 0; e4.. x2*x6*cos(x5) - sin(x3*x4) + x2 - x5 =E= 0; e5.. x1*x2 - sqr(x3) - x4*x5 - sqr(x6) =E= 0; e6.. 2*x1 + 5*x2 + x3 + x4 =L= 1; e7.. 3*x1 - 2*x2 + x3 - 4*x4 =L= 0; e8.. x1 + x2 + x3 + x4 + x5 + x6 =L= 2; * set non default bounds * set non default levels x1.l = 10; x2.l = -10; x3.l = 10; x4.l = 10; x5.l = 10; x6.l = -10; * 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;