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ex8_1_7.gms:

References:

Point: p1 
Best known point: p1 with value 0.0293


* NLP written by GAMS Convert at 07/19/01 13:39:55 * * 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 * 6 6 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 20 7 13 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,objvar; Equations e1,e2,e3,e4,e5,e6; e1.. sqr(x2) + POWER(x3,3) + x1 =L= 6.24264068711929; e2.. (-POWER(x3,3)) - sqr(x2) - x1 =L= -6.24264068711929; e3.. - sqr(x3) + x2 + x4 =L= 0.82842712474619; e4.. sqr(x3) - x2 - x4 =L= -0.82842712474619; e5.. 0.5*x1*x5 + 0.5*x1*x5 =E= 2; e6.. - (sqr(x1 - 1) + sqr(x1 - x2) + POWER(x2 - x3,3) + POWER(x3 - x4,4) + POWER(x4 - x5,4)) + objvar =E= 0; * set non default bounds x1.lo = -5; x1.up = 5; x2.lo = -5; x2.up = 5; x3.lo = -5; x3.up = 5; x4.lo = -5; x4.up = 5; x5.lo = -5; x5.up = 5; * 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;