ex14_1_6.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.
- Kearfott, R, and Novoa, M, INTBIS, A Portable Interval Newton Bisection Package. ACM Trans. Math. Soft. 16 (1990), 152-157.
- Original source: Global Model of Chapter 14 ex14.1.6.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 0.0000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:25
*
* Equation counts
* Total E G L N X
* 16 2 0 14 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 10 10 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 62 30 32 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16;
e1.. - x9 + objvar =E= 0;
e2.. 0.004731*x1*x3 - 0.1238*x1 - 0.3578*x2*x3 - 0.001637*x2 - 0.9338*x4 + x7
- x9 =L= 0.3571;
e3.. 0.1238*x1 - 0.004731*x1*x3 + 0.3578*x2*x3 + 0.001637*x2 + 0.9338*x4 - x7
- x9 =L= -0.3571;
e4.. 0.2238*x1*x3 + 0.2638*x1 + 0.7623*x2*x3 - 0.07745*x2 - 0.6734*x4 - x7 - x9
=L= 0.6022;
e5.. (-0.2238*x1*x3) - 0.2638*x1 - 0.7623*x2*x3 + 0.07745*x2 + 0.6734*x4 + x7
- x9 =L= -0.6022;
e6.. x6*x8 + 0.3578*x1 + 0.004731*x2 - x9 =L= 0;
e7.. - x6*x8 - 0.3578*x1 - 0.004731*x2 - x9 =L= 0;
e8.. - 0.7623*x1 + 0.2238*x2 =E= -0.3461;
e9.. sqr(x1) + sqr(x2) - x9 =L= 1;
e10.. (-sqr(x1)) - sqr(x2) - x9 =L= -1;
e11.. sqr(x3) + sqr(x4) - x9 =L= 1;
e12.. (-sqr(x3)) - sqr(x4) - x9 =L= -1;
e13.. sqr(x5) + sqr(x6) - x9 =L= 1;
e14.. (-sqr(x5)) - sqr(x6) - x9 =L= -1;
e15.. sqr(x7) + sqr(x8) - x9 =L= 1;
e16.. (-sqr(x7)) - sqr(x8) - x9 =L= -1;
* set non default bounds
x1.lo = -1; x1.up = 1;
x2.lo = -1; x2.up = 1;
x3.lo = -1; x3.up = 1;
x4.lo = -1; x4.up = 1;
x5.lo = -1; x5.up = 1;
x6.lo = -1; x6.up = 1;
x7.lo = -1; x7.up = 1;
x8.lo = -1; x8.up = 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;
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