springs_10_nlp.gms:
References:
- R. Vanderbei, Nonlinear Optimization Models (AMPL), See http://www.princeton.edu/~rvdb/ampl/nlmodels/.
- Yu-Ju Kuo, and H. D. Mittelmann, Interior Point Methods for Second Order Cone Programming and OR Applications. Computational Optimization and Applications (to appear).
- Original source: GAMS Model spring.gms from http://www.princeton.edu/~rvdb/ampl/nlmodels/springs/springs.mod
Point:
<![CDATA[
* LP written by GAMS Convert at 10/14/03 16:55:42
*
* Equation counts
* Total E G L N X C
* 46 35 0 0 0 0 11
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 69 69 0 0 0 0 0 0
* FX 4 4 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 140 140 0 0
*
* Solve m using LP minimizing objvar;
Variables objvar,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,x33,x34,x35
,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69;
Positive Variables x2,x13,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46;
e1.. objvar - 9.8*x14 - 9.8*x15 - 9.8*x16 - 9.8*x17 - 9.8*x18 - 9.8*x19
- 9.8*x20 - 9.8*x21 - 9.8*x22 - 100*x69 =E= 0;
e2.. - x2 + x36 =E= 0;
e3.. x2 - x3 + x37 =E= 0;
e4.. x3 - x4 + x38 =E= 0;
e5.. x4 - x5 + x39 =E= 0;
e6.. x5 - x6 + x40 =E= 0;
e7.. x6 - x7 + x41 =E= 0;
e8.. x7 - x8 + x42 =E= 0;
e9.. x8 - x9 + x43 =E= 0;
e10.. x9 - x10 + x44 =E= 0;
e11.. x10 - x11 + x45 =E= 0;
e12.. x11 - x12 + x46 =E= 0;
e13.. - x13 + x47 =E= 0;
e14.. x13 - x14 + x48 =E= 0;
e15.. x14 - x15 + x49 =E= 0;
e16.. x15 - x16 + x50 =E= 0;
e17.. x16 - x17 + x51 =E= 0;
e18.. x17 - x18 + x52 =E= 0;
e19.. x18 - x19 + x53 =E= 0;
e20.. x19 - x20 + x54 =E= 0;
e21.. x20 - x21 + x55 =E= 0;
e22.. x21 - x22 + x56 =E= 0;
e23.. x22 - x23 + x57 =E= 0;
e24.. x35 =E= 1;
e25.. x24 - x58 =E= 0.447213595499958;
e26.. x25 - x59 =E= 0.447213595499958;
e27.. x26 - x60 =E= 0.447213595499958;
e28.. x27 - x61 =E= 0.447213595499958;
e29.. x28 - x62 =E= 0.447213595499958;
e30.. x29 - x63 =E= 0.447213595499958;
e31.. x30 - x64 =E= 0.447213595499958;
e32.. x31 - x65 =E= 0.447213595499958;
e33.. x32 - x66 =E= 0.447213595499958;
e34.. x33 - x67 =E= 0.447213595499958;
e35.. x34 - x68 =E= 0.447213595499958;
e36.. x25 =G= SQRT(SQR(x37)+SQR(x48));
e37.. x26 =G= SQRT(SQR(x38)+SQR(x49));
e38.. x27 =G= SQRT(SQR(x39)+SQR(x50));
e39.. x28 =G= SQRT(SQR(x40)+SQR(x51));
e40.. x29 =G= SQRT(SQR(x41)+SQR(x52));
e41.. x30 =G= SQRT(SQR(x42)+SQR(x53));
e42.. x31 =G= SQRT(SQR(x43)+SQR(x54));
e43.. x32 =G= SQRT(SQR(x44)+SQR(x55));
e44.. x33 =G= SQRT(SQR(x45)+SQR(x56));
e45.. x34 =G= SQRT(SQR(x46)+SQR(x57));
e46.. x35*x69*2 =G= SQR(x59)+SQR(x60)+SQR(x61)+SQR(x62)+SQR(x63)+SQR(x64)
+SQR(x65)+SQR(x66)+SQR(x67)+SQR(x68);
* set non default bounds
x2.fx = 0;
x12.fx = 2;
x13.fx = 0;
x23.fx = -1;
* set non default levels
x3.l = 0.2;
x4.l = 0.4;
x5.l = 0.6;
x6.l = 0.8;
x7.l = 1;
x8.l = 1.2;
x9.l = 1.4;
x10.l = 1.6;
x11.l = 1.8;
x14.l = -0.1;
x15.l = -0.2;
x16.l = -0.3;
x17.l = -0.4;
x18.l = -0.5;
x19.l = -0.6;
x20.l = -0.7;
x21.l = -0.8;
x22.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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