springs_nonconvex.gms
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* NLP written by GAMS Convert at 11/29/04 16:21:04
*
* Equation counts
* Total E G L N X C
* 11 1 0 10 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 33 33 0 0 0 0 0 0
* FX 4 4 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 70 10 60 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x22;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11;
e1.. sqr(x12 - x11) + sqr(x23 - x22) - sqr(0.447213595499958 + x1) =L= 0;
e2.. sqr(x13 - x12) + sqr(x24 - x23) - sqr(0.447213595499958 + x2) =L= 0;
e3.. sqr(x14 - x13) + sqr(x25 - x24) - sqr(0.447213595499958 + x3) =L= 0;
e4.. sqr(x15 - x14) + sqr(x26 - x25) - sqr(0.447213595499958 + x4) =L= 0;
e5.. sqr(x16 - x15) + sqr(x27 - x26) - sqr(0.447213595499958 + x5) =L= 0;
e6.. sqr(x17 - x16) + sqr(x28 - x27) - sqr(0.447213595499958 + x6) =L= 0;
e7.. sqr(x18 - x17) + sqr(x29 - x28) - sqr(0.447213595499958 + x7) =L= 0;
e8.. sqr(x19 - x18) + sqr(x30 - x29) - sqr(0.447213595499958 + x8) =L= 0;
e9.. sqr(x20 - x19) + sqr(x31 - x30) - sqr(0.447213595499958 + x9) =L= 0;
e10.. sqr(x21 - x20) + sqr(x32 - x31) - sqr(0.447213595499958 + x10) =L= 0;
e11.. - 50*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4) + sqr(x5) + sqr(x6) + sqr(x7
) + sqr(x8) + sqr(x9) + sqr(x10)) - 9.8*x23 - 9.8*x24 - 9.8*x25 - 9.8*x26
- 9.8*x27 - 9.8*x28 - 9.8*x29 - 9.8*x30 - 9.8*x31 + objvar =E= 0;
* set non default bounds
x11.fx = 0;
x21.fx = 2;
x22.fx = 0;
x32.fx = -1;
* set non default levels
x12.l = 0.2;
x13.l = 0.4;
x14.l = 0.6;
x15.l = 0.8;
x16.l = 1;
x17.l = 1.2;
x18.l = 1.4;
x19.l = 1.6;
x20.l = 1.8;
x23.l = -0.1;
x24.l = -0.2;
x25.l = -0.3;
x26.l = -0.4;
x27.l = -0.5;
x28.l = -0.6;
x29.l = -0.7;
x30.l = -0.8;
x31.l = -0.9;
* 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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