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ex14_2_9.gms:

Reference:

Point: p1 
Best known point: p1 with value 0.0000


* NLP written by GAMS Convert at 07/19/01 13:40:31 * * Equation counts * Total E G L N X * 6 2 0 4 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 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 20 8 12 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,objvar,x5; Positive Variables x5; Equations e1,e2,e3,e4,e5,e6; e1.. objvar - x5 =E= 0; e2.. 8.86*log(2.1055*x1 + 4.0456*x2) - 7.888*log(1.972*x1 + 3.236*x2) - ( 2.1105532*x2 - 0.922208999999999*x1)/(2.1055*x1 + 4.0456*x2) - (0.848*log( 1.52337552625369*x1 + 3.236*x2) + 1.124*log(1.17581829697036*x1 + 0.197740576646344*x2)) - ((1.29182244626313*x1 + 1.29182244626313*x2)/( 1.52337552625369*x1 + 3.236*x2) + 3.29049113670798*x2/(1.52337552625369*x1 + 3.236*x2) + 0.347329619985842*x2/(1.52337552625369*x1 + 3.236*x2) + 1.32161976579469*x1/(1.17581829697036*x1 + 0.197740576646344*x2)) - 3803.98/(231.47 + x3) - x5 =L= -13.1111702786953; e3.. 15.18*log(2.1055*x1 + 4.0456*x2) - 12.944*log(1.972*x1 + 3.236*x2) - ( 4.05530944*x2 - 1.7719728*x1)/(2.1055*x1 + 4.0456*x2) - (0.848*log( 1.52337552625369*x1 + 3.236*x2) + 2.16*log(1.52337552625369*x1 + 3.236*x2) + 0.228*log(1.52337552625369*x1 + 3.236*x2)) - ((2.744128*x1 + 2.744128* x2)/(1.52337552625369*x1 + 3.236*x2) + 6.98976*x2/(1.52337552625369*x1 + 3.236*x2) + 0.737808*x2/(1.52337552625369*x1 + 3.236*x2) + 0.222260408150491*x1/(1.17581829697036*x1 + 0.197740576646344*x2)) - 2735.58621973158/(226.276 + x3) - x5 =L= -11.2003192377536; e4.. 7.888*log(1.972*x1 + 3.236*x2) - 8.86*log(2.1055*x1 + 4.0456*x2) + ( 2.1105532*x2 - 0.922208999999999*x1)/(2.1055*x1 + 4.0456*x2) + 0.848*log( 1.52337552625369*x1 + 3.236*x2) + 1.124*log(1.17581829697036*x1 + 0.197740576646344*x2) + (1.29182244626313*x1 + 1.29182244626313*x2)/( 1.52337552625369*x1 + 3.236*x2) + 3.29049113670798*x2/(1.52337552625369*x1 + 3.236*x2) + 0.347329619985842*x2/(1.52337552625369*x1 + 3.236*x2) + 1.32161976579469*x1/(1.17581829697036*x1 + 0.197740576646344*x2) + 3803.98 /(231.47 + x3) - x5 =L= 13.1111702786953; e5.. 12.944*log(1.972*x1 + 3.236*x2) - 15.18*log(2.1055*x1 + 4.0456*x2) + ( 4.05530944*x2 - 1.7719728*x1)/(2.1055*x1 + 4.0456*x2) + 0.848*log( 1.52337552625369*x1 + 3.236*x2) + 2.16*log(1.52337552625369*x1 + 3.236*x2) + 0.228*log(1.52337552625369*x1 + 3.236*x2) + (2.744128*x1 + 2.744128*x2) /(1.52337552625369*x1 + 3.236*x2) + 6.98976*x2/(1.52337552625369*x1 + 3.236*x2) + 0.737808*x2/(1.52337552625369*x1 + 3.236*x2) + 0.222260408150491*x1/(1.17581829697036*x1 + 0.197740576646344*x2) + 2735.58621973158/(226.276 + x3) - x5 =L= 11.2003192377536; e6.. x1 + x2 =E= 1; * set non default bounds x1.lo = 1E-6; x1.up = 1; x2.lo = 1E-6; x2.up = 1; x3.lo = 40; x3.up = 90; * set non default levels x1.l = 0.371; x2.l = 0.629; x3.l = 60.632; * 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;