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st_e37.gms:

References:

• Tawarmalani, M, and Sahinidis, N, Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications. Kluwer, 2002.
• Beck, J V, and Arnold, K J, Parameter Estimation in Engineering and Science. Wiley, New York, 1977.

Point:

* NLP written by GAMS Convert at 08/29/02 12:49:54 * * Equation counts * Total E G L N X C * 2 1 0 1 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 5 5 0 0 0 0 0 0 * FX 2 2 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 7 3 4 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar,x4,x5; Positive Variables x1,x2; Equations e1,e2; e1.. x1 - x2 =L= 0; e2.. - (sqr(x4 + x5 - 1.9837) + sqr(x4*exp(-x1) + x5*exp(-x2) - 0.8393) + sqr( x4*exp(-2*x1) + x5*exp(-2*x2) - 0.4305) + sqr(x4*exp(-3*x1) + x5*exp(-3*x2 ) - 0.2441) + sqr(x4*exp(-4*x1) + x5*exp(-4*x2) - 0.1248) + sqr(x4*exp(-5* x1) + x5*exp(-5*x2) - 0.0981) + sqr(x4*exp(-6*x1) + x5*exp(-6*x2) - 0.0549 ) + sqr(x4*exp(-7*x1) + x5*exp(-7*x2) - 0.0174) + sqr(x4*exp(-8*x1) + x5* exp(-8*x2) - 0.0249) + sqr(x4*exp(-9*x1) + x5*exp(-9*x2) - 0.0154) + sqr( x4*exp(-10*x1) + x5*exp(-10*x2) - 0.0127)) + objvar =E= 0; * set non default bounds x1.up = 100; x2.up = 100; x4.fx = 1; x5.fx = 1; * 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;