zigzag.gms
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* NLP written by GAMS Convert at 10/06/06 11:53:56
*
* Equation counts
* Total E G L N X C
* 61 41 0 20 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 65 65 0 0 0 0 0 0
* FX 6 6 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 171 141 30 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,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,objvar;
Positive Variables x1,x2,x3,x4,x5,x9,x13,x17,x21,x25,x29,x33,x37,x41,x43,x44;
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,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61;
e1.. - 0.5*x3 + 0.5*x7 - x45 =E= 0;
e2.. - 0.5*x4 + 0.5*x8 - x46 =E= 0;
e3.. - x1 + x5 - x7 =E= 0;
e4.. - x2 + x6 - x8 =E= 0;
e5.. - 0.5*x7 + 0.5*x11 - x47 =E= 0;
e6.. - 0.5*x8 + 0.5*x12 - x48 =E= 0;
e7.. - x5 + x9 - x11 =E= 0;
e8.. - x6 + x10 - x12 =E= 0;
e9.. - 0.5*x11 + 0.5*x15 - x49 =E= 0;
e10.. - 0.5*x12 + 0.5*x16 - x50 =E= 0;
e11.. - x9 + x13 - x15 =E= 0;
e12.. - x10 + x14 - x16 =E= 0;
e13.. - 0.5*x15 + 0.5*x19 - x51 =E= 0;
e14.. - 0.5*x16 + 0.5*x20 - x52 =E= 0;
e15.. - x13 + x17 - x19 =E= 0;
e16.. - x14 + x18 - x20 =E= 0;
e17.. - 0.5*x19 + 0.5*x23 - x53 =E= 0;
e18.. - 0.5*x20 + 0.5*x24 - x54 =E= 0;
e19.. - x17 + x21 - x23 =E= 0;
e20.. - x18 + x22 - x24 =E= 0;
e21.. - 0.5*x23 + 0.5*x27 - x55 =E= 0;
e22.. - 0.5*x24 + 0.5*x28 - x56 =E= 0;
e23.. - x21 + x25 - x27 =E= 0;
e24.. - x22 + x26 - x28 =E= 0;
e25.. - 0.5*x27 + 0.5*x31 - x57 =E= 0;
e26.. - 0.5*x28 + 0.5*x32 - x58 =E= 0;
e27.. - x25 + x29 - x31 =E= 0;
e28.. - x26 + x30 - x32 =E= 0;
e29.. - 0.5*x31 + 0.5*x35 - x59 =E= 0;
e30.. - 0.5*x32 + 0.5*x36 - x60 =E= 0;
e31.. - x29 + x33 - x35 =E= 0;
e32.. - x30 + x34 - x36 =E= 0;
e33.. - 0.5*x35 + 0.5*x39 - x61 =E= 0;
e34.. - 0.5*x36 + 0.5*x40 - x62 =E= 0;
e35.. - x33 + x37 - x39 =E= 0;
e36.. - x34 + x38 - x40 =E= 0;
e37.. - 0.5*x39 + 0.5*x43 - x63 =E= 0;
e38.. - 0.5*x40 + 0.5*x44 - x64 =E= 0;
e39.. - x37 + x41 - x43 =E= 0;
e40.. - x38 + x42 - x44 =E= 0;
e41.. - sin(x5) + x6 =L= 0.1;
e42.. - sin(x9) + x10 =L= 0.1;
e43.. - sin(x13) + x14 =L= 0.1;
e44.. - sin(x17) + x18 =L= 0.1;
e45.. - sin(x21) + x22 =L= 0.1;
e46.. - sin(x25) + x26 =L= 0.1;
e47.. - sin(x29) + x30 =L= 0.1;
e48.. - sin(x33) + x34 =L= 0.1;
e49.. - sin(x37) + x38 =L= 0.1;
e50.. - sin(x41) + x42 =L= 0.1;
e51.. sin(x5) - x6 =L= 0.1;
e52.. sin(x9) - x10 =L= 0.1;
e53.. sin(x13) - x14 =L= 0.1;
e54.. sin(x17) - x18 =L= 0.1;
e55.. sin(x21) - x22 =L= 0.1;
e56.. sin(x25) - x26 =L= 0.1;
e57.. sin(x29) - x30 =L= 0.1;
e58.. sin(x33) - x34 =L= 0.1;
e59.. sin(x37) - x38 =L= 0.1;
e60.. sin(x41) - x42 =L= 0.1;
e61.. - (0.0181818181818182*(-10 + x5)*(-10 + x5) + 0.0363636363636364*(-10 +
x9)*(-10 + x9) + 0.0545454545454545*(-10 + x13)*(-10 + x13) +
0.0727272727272727*(-10 + x17)*(-10 + x17) + 0.0909090909090909*(-10 +
x21)*(-10 + x21) + 0.109090909090909*(-10 + x25)*(-10 + x25) +
0.127272727272727*(-10 + x29)*(-10 + x29) + 0.145454545454545*(-10 + x33)
*(-10 + x33) + 0.163636363636364*(-10 + x37)*(-10 + x37) +
0.181818181818182*(-10 + x41)*(-10 + x41)) + objvar =E= 0;
* set non default bounds
x1.fx = 0;
x2.fx = 0;
x3.fx = 0;
x4.fx = 0;
x5.up = 10;
x9.up = 10;
x13.up = 10;
x17.up = 10;
x21.up = 10;
x25.up = 10;
x29.up = 10;
x33.up = 10;
x37.up = 10;
x41.up = 10;
x43.fx = 0;
x44.fx = 0;
x45.lo = -1; x45.up = 1;
x46.lo = -1; x46.up = 1;
x47.lo = -1; x47.up = 1;
x48.lo = -1; x48.up = 1;
x49.lo = -1; x49.up = 1;
x50.lo = -1; x50.up = 1;
x51.lo = -1; x51.up = 1;
x52.lo = -1; x52.up = 1;
x53.lo = -1; x53.up = 1;
x54.lo = -1; x54.up = 1;
x55.lo = -1; x55.up = 1;
x56.lo = -1; x56.up = 1;
x57.lo = -1; x57.up = 1;
x58.lo = -1; x58.up = 1;
x59.lo = -1; x59.up = 1;
x60.lo = -1; x60.up = 1;
x61.lo = -1; x61.up = 1;
x62.lo = -1; x62.up = 1;
x63.lo = -1; x63.up = 1;
x64.lo = -1; x64.up = 1;
* set non default levels
x5.l = 1;
x7.l = 1;
x9.l = 2;
x11.l = 1;
x13.l = 3;
x15.l = 1;
x17.l = 4;
x19.l = 1;
x21.l = 5;
x23.l = 1;
x25.l = 6;
x27.l = 1;
x29.l = 7;
x31.l = 1;
x33.l = 8;
x35.l = 1;
x37.l = 9;
x39.l = 1;
x41.l = 10;
* 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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