MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance deb10
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000000 (COUENNE) 10.00000000 (LINDO) 0.00000000 (SCIP) 0.00000000 (SHOT) |
| Sourceⓘ | GAMS Client |
| Applicationⓘ | Electricity generation |
| Added to libraryⓘ | 01 May 2001 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 182 |
| #Binary Variablesⓘ | 22 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 64 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 44 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 129 |
| #Linear Constraintsⓘ | 65 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 64 |
| Operands in Gen. Nonlin. Functionsⓘ | cos mul sin |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 647 |
| #Nonlinear Nonzeros in Jacobianⓘ | 432 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 432 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 64 |
| #Blocks in Hessian of Lagrangianⓘ | 2 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 32 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 32 |
| Average blocksize in Hessian of Lagrangianⓘ | 32.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 2.7755e-01 |
| Maximal coefficientⓘ | 1.0000e+02 |
| Infeasibility of initial pointⓘ | 2.824 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 130 66 20 44 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 183 161 22 0 0 0 0 0
* FX 45
*
* Nonzero counts
* Total const NL DLL
* 692 260 432 0
*
* Solve m using MINLP 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,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,objvar,b162,b163,b164,b165,b166,b167,b168
,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
,b182,b183;
Positive Variables x1,x3,x5,x8,x16,x65,x67,x69,x72,x80,x130,x132,x134,x135
,x137,x138,x139,x140,x141,x142,x143,x146,x148,x150,x151,x153,x154
,x155,x156,x157,x158,x159;
Binary Variables b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172,b173
,b174,b175,b176,b177,b178,b179,b180,b181,b182,b183;
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,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130;
e1.. -(15.8964171454635*x1*x1 + x1*x2*(-2.26704183302539*cos(x34 - x33) -
18.5374266808153*sin(x34 - x33)) + x1*x5*(-13.6293753124381*cos(x37 - x33)
- 7.07407023136926*sin(x37 - x33))) + x65 =E= 0;
e2.. -(x2*x1*(-2.26704183302539*cos(x33 - x34) - 18.5374266808153*sin(x33 - x34
)) + 3.53430764694598*x2*x2 + x2*x3*(-1.26726581392059*cos(x35 - x34) -
7.28131607739717*sin(x35 - x34))) + x66 =E= 0;
e3.. -(x3*x2*(-1.26726581392059*cos(x34 - x35) - 7.28131607739717*sin(x34 - x35
)) + 1.5448109718374*x3*x3 + x3*x4*(-0.27754515791681*cos(x36 - x35) -
1.6615816969355*sin(x36 - x35))) + x67 =E= 0;
e4.. -(x4*x3*(-0.27754515791681*cos(x35 - x36) - 1.6615816969355*sin(x35 - x36)
) + 2.29003563010891*x4*x4 + x4*x6*(-0.864296115364742*cos(x38 - x36) -
6.06886185353939*sin(x38 - x36)) + x4*x7*(-0.824884423842853*cos(x39 - x36
) - 6.35284123437183*sin(x39 - x36)) + x4*x9*(-0.323309932984507*cos(x41
- x36) - 3.06668980551481*sin(x41 - x36)) - 10*x4*x16*sin(x48 - x36))
+ x68 =E= 0;
e5.. -(x5*x1*(-13.6293753124381*cos(x33 - x37) - 7.07407023136926*sin(x33 - x37
)) + 14.9328222636193*x5*x5 + x5*x6*(-0.556466438117951*cos(x38 - x37) -
3.59715804640533*sin(x38 - x37)) + x5*x7*(-0.746980513063235*cos(x39 - x37
) - 3.99601522253739*sin(x39 - x37))) + x69 =E= 0;
e6.. -(x6*x4*(-0.864296115364742*cos(x36 - x38) - 6.06886185353939*sin(x36 -
x38)) + x6*x5*(-0.556466438117951*cos(x37 - x38) - 3.59715804640533*sin(
x37 - x38)) + 1.42076255348269*x6*x6) + x70 =E= 0.28;
e7.. -(x7*x4*(-0.824884423842853*cos(x36 - x39) - 6.35284123437183*sin(x36 -
x39)) + x7*x5*(-0.746980513063235*cos(x37 - x39) - 3.99601522253739*sin(
x37 - x39)) + 8.01827911901728*x7*x7 + x7*x8*(-6.44641418211119*cos(x40 -
x39) - 56.4061240934729*sin(x40 - x39)) - 20*x7*x15*sin(x47 - x39)) + x71
=E= 0;
e8.. -(x8*x7*(-6.44641418211119*cos(x39 - x40) - 56.4061240934729*sin(x39 - x40
)) + 7.92491432585426*x8*x8 + x8*x9*(-1.47850014374307*cos(x41 - x40) -
12.7315290155653*sin(x41 - x40))) + x72 =E= 0;
e9.. -(x9*x4*(-0.323309932984507*cos(x36 - x41) - 3.06668980551481*sin(x36 -
x41)) + x9*x8*(-1.47850014374307*cos(x40 - x41) - 12.7315290155653*sin(x40
- x41)) + 3.67227520253507*x9*x9 + x9*x10*(-1.53864841883629*cos(x42 -
x41) - 12.6331133336033*sin(x42 - x41)) + x9*x11*(-0.331816706971196*cos(
x43 - x41) - 2.02240182793204*sin(x43 - x41)) - 6.66666666666667*x9*x14*
sin(x46 - x41)) + x73 =E= 0;
e10.. -(x10*x9*(-1.53864841883629*cos(x41 - x42) - 12.6331133336033*sin(x41 -
x42)) + 1.87592107119826*x10*x10 + x10*x11*(-0.337272652361963*cos(x43 -
x42) - 2.74800558799463*sin(x43 - x42)) - 6.66666666666667*x10*x12*sin(
x44 - x42)) + x74 =E= 0;
e11.. -(x11*x9*(-0.331816706971196*cos(x41 - x43) - 2.02240182793204*sin(x41 -
x43)) + x11*x10*(-0.337272652361963*cos(x42 - x43) - 2.74800558799463*
sin(x42 - x43)) + 0.669089359333159*x11*x11 - 6.66666666666667*x11*x13*
sin(x45 - x43)) + x75 =E= 0.3;
e12.. 6.66666666666667*x12*x10*sin(x42 - x44) + x76 =E= 0.56;
e13.. 6.66666666666667*x13*x11*sin(x43 - x45) + x77 =E= 0;
e14.. 6.66666666666667*x14*x9*sin(x41 - x46) + x78 =E= 0.44;
e15.. 20*x15*x7*sin(x39 - x47) + x79 =E= 2.4;
e16.. 10*x16*x4*sin(x36 - x48) + x80 =E= 0;
e17.. -(25.4742969121846*x1*x1 + x1*x2*(2.26704183302539*sin(x34 - x33) -
18.5374266808153*cos(x34 - x33)) + x1*x5*(13.6293753124381*sin(x37 - x33)
- 7.07407023136926*cos(x37 - x33))) + x81 + x129 - x145 =E= 0;
e18.. -(x2*x1*(2.26704183302539*sin(x33 - x34) - 18.5374266808153*cos(x33 - x34
)) + 25.7248427582125*x2*x2 + x2*x3*(1.26726581392059*sin(x35 - x34) -
7.28131607739717*cos(x35 - x34))) + x82 + x130 - x146 =E= 0;
e19.. -(x3*x2*(1.26726581392059*sin(x34 - x35) - 7.28131607739717*cos(x34 - x35
)) + 8.82609777433267*x3*x3 + x3*x4*(0.27754515791681*sin(x36 - x35) -
1.6615816969355*cos(x36 - x35))) + x83 + x131 - x147 =E= 0;
e20.. -(x4*x3*(0.27754515791681*sin(x35 - x36) - 1.6615816969355*cos(x35 - x36)
) + 27.0030745903615*x4*x4 + x4*x6*(0.864296115364742*sin(x38 - x36) -
6.06886185353939*cos(x38 - x36)) + x4*x7*(0.824884423842853*sin(x39 - x36
) - 6.35284123437183*cos(x39 - x36)) + x4*x9*(0.323309932984507*sin(x41
- x36) - 3.06668980551481*cos(x41 - x36)) - 10*x4*x16*cos(x48 - x36))
+ x84 + x132 - x148 =E= 0;
e21.. -(x5*x1*(13.6293753124381*sin(x33 - x37) - 7.07407023136926*cos(x33 - x37
)) + 14.428443500312*x5*x5 + x5*x6*(0.556466438117951*sin(x38 - x37) -
3.59715804640533*cos(x38 - x37)) + x5*x7*(0.746980513063235*sin(x39 - x37
) - 3.99601522253739*cos(x39 - x37))) + x85 + x133 - x149 =E= 0;
e22.. -(x6*x4*(0.864296115364742*sin(x36 - x38) - 6.06886185353939*cos(x36 -
x38)) + x6*x5*(0.556466438117951*sin(x37 - x38) - 3.59715804640533*cos(
x37 - x38)) + 9.58501989994471*x6*x6) + x86 + x134 - x150 =E= 0.08;
e23.. -(x7*x4*(0.824884423842853*sin(x36 - x39) - 6.35284123437183*cos(x36 -
x39)) + x7*x5*(0.746980513063235*sin(x37 - x39) - 3.99601522253739*cos(
x37 - x39)) + 86.6293805503822*x7*x7 + x7*x8*(6.44641418211119*sin(x40 -
x39) - 56.4061240934729*cos(x40 - x39)) - 20*x7*x15*cos(x47 - x39)) + x87
+ x135 - x151 =E= -0.5;
e24.. -(x8*x7*(6.44641418211119*sin(x39 - x40) - 56.4061240934729*cos(x39 - x40
)) + 69.1318531090383*x8*x8 + x8*x9*(1.47850014374307*sin(x41 - x40) -
12.7315290155653*cos(x41 - x40))) + x88 + x136 - x152 =E= 0;
e25.. -(x9*x4*(0.323309932984507*sin(x36 - x41) - 3.06668980551481*cos(x36 -
x41)) + x9*x8*(1.47850014374307*sin(x40 - x41) - 12.7315290155653*cos(x40
- x41)) + 37.0715006492821*x9*x9 + x9*x10*(1.53864841883629*sin(x42 -
x41) - 12.6331133336033*cos(x42 - x41)) + x9*x11*(0.331816706971196*sin(
x43 - x41) - 2.02240182793204*cos(x43 - x41)) - 6.66666666666667*x9*x14*
cos(x46 - x41)) + x89 + x137 - x153 =E= -0.2;
e26.. -(x10*x9*(1.53864841883629*sin(x41 - x42) - 12.6331133336033*cos(x41 -
x42)) + 22.0194855882646*x10*x10 + x10*x11*(0.337272652361963*sin(x43 -
x42) - 2.74800558799463*cos(x43 - x42)) - 6.66666666666667*x10*x12*cos(
x44 - x42)) + x90 + x138 - x154 =E= -0.2;
e27.. -(x11*x9*(0.331816706971196*sin(x41 - x43) - 2.02240182793204*cos(x41 -
x43)) + x11*x10*(0.337272652361963*sin(x42 - x43) - 2.74800558799463*cos(
x42 - x43)) + 11.3946740825933*x11*x11 - 6.66666666666667*x11*x13*cos(x45
- x43)) + x91 + x139 - x155 =E= 0.1;
e28.. -(6.66666666666667*x12*x12 - 6.66666666666667*x12*x10*cos(x42 - x44))
+ x92 + x140 - x156 =E= -0.08;
e29.. -(6.66666666666667*x13*x13 - 6.66666666666667*x13*x11*cos(x43 - x45))
+ x93 + x141 - x157 =E= -0.2;
e30.. -(6.66666666666667*x14*x14 - 6.66666666666667*x14*x9*cos(x41 - x46))
+ x94 + x142 - x158 =E= -0.1;
e31.. -(20*x15*x15 - 20*x15*x7*cos(x39 - x47)) + x95 + x143 - x159 =E= 0;
e32.. -(10*x16*x16 - 10*x16*x4*cos(x36 - x48)) + x96 + x144 - x160 =E= 0;
e33.. x33 =E= 0;
e34.. 15.8964171454635*x17*x17 + x17*x18*(-2.26704183302539*cos(x50 - x49) -
18.5374266808153*sin(x50 - x49)) + x17*x21*(-13.6293753124381*cos(x53 -
x49) - 7.07407023136926*sin(x53 - x49)) - x97 =E= 0;
e35.. x18*x17*(-2.26704183302539*cos(x49 - x50) - 18.5374266808153*sin(x49 -
x50)) + 3.53430764694598*x18*x18 + x18*x19*(-1.26726581392059*cos(x51 -
x50) - 7.28131607739717*sin(x51 - x50)) - x98 =E= 0;
e36.. x19*x18*(-1.26726581392059*cos(x50 - x51) - 7.28131607739717*sin(x50 -
x51)) + 1.5448109718374*x19*x19 + x19*x20*(-0.27754515791681*cos(x52 -
x51) - 1.6615816969355*sin(x52 - x51)) - x99 =E= 0;
e37.. x20*x19*(-0.27754515791681*cos(x51 - x52) - 1.6615816969355*sin(x51 - x52
)) + 2.29003563010891*x20*x20 + x20*x22*(-0.864296115364742*cos(x54 - x52
) - 6.06886185353939*sin(x54 - x52)) + x20*x23*(-0.824884423842853*cos(
x55 - x52) - 6.35284123437183*sin(x55 - x52)) + x20*x25*(-
0.323309932984507*cos(x57 - x52) - 3.06668980551481*sin(x57 - x52)) - 10*
x20*x32*sin(x64 - x52) - x100 =E= 0;
e38.. x21*x17*(-13.6293753124381*cos(x49 - x53) - 7.07407023136926*sin(x49 -
x53)) + 14.9328222636193*x21*x21 + x21*x22*(-0.556466438117951*cos(x54 -
x53) - 3.59715804640533*sin(x54 - x53)) + x21*x23*(-0.746980513063235*
cos(x55 - x53) - 3.99601522253739*sin(x55 - x53)) - x101 =E= 0;
e39.. x22*x20*(-0.864296115364742*cos(x52 - x54) - 6.06886185353939*sin(x52 -
x54)) + x22*x21*(-0.556466438117951*cos(x53 - x54) - 3.59715804640533*
sin(x53 - x54)) + 1.42076255348269*x22*x22 - x102 =E= 0;
e40.. x23*x20*(-0.824884423842853*cos(x52 - x55) - 6.35284123437183*sin(x52 -
x55)) + x23*x21*(-0.746980513063235*cos(x53 - x55) - 3.99601522253739*
sin(x53 - x55)) + 8.01827911901728*x23*x23 + x23*x24*(-6.44641418211119*
cos(x56 - x55) - 56.4061240934729*sin(x56 - x55)) - 20*x23*x31*sin(x63 -
x55) - x103 =E= 0;
e41.. x24*x23*(-6.44641418211119*cos(x55 - x56) - 56.4061240934729*sin(x55 -
x56)) + 7.92491432585426*x24*x24 + x24*x25*(-1.47850014374307*cos(x57 -
x56) - 12.7315290155653*sin(x57 - x56)) - x104 =E= 0;
e42.. x25*x20*(-0.323309932984507*cos(x52 - x57) - 3.06668980551481*sin(x52 -
x57)) + x25*x24*(-1.47850014374307*cos(x56 - x57) - 12.7315290155653*sin(
x56 - x57)) + 3.67227520253507*x25*x25 + x25*x26*(-1.53864841883629*cos(
x58 - x57) - 12.6331133336033*sin(x58 - x57)) + x25*x27*(-
0.331816706971196*cos(x59 - x57) - 2.02240182793204*sin(x59 - x57)) -
6.66666666666667*x25*x30*sin(x62 - x57) - x105 =E= 0;
e43.. x26*x25*(-1.53864841883629*cos(x57 - x58) - 12.6331133336033*sin(x57 -
x58)) + 1.87592107119826*x26*x26 + x26*x27*(-0.337272652361963*cos(x59 -
x58) - 2.74800558799463*sin(x59 - x58)) - 6.66666666666667*x26*x28*sin(
x60 - x58) - x106 =E= 0;
e44.. x27*x25*(-0.331816706971196*cos(x57 - x59) - 2.02240182793204*sin(x57 -
x59)) + x27*x26*(-0.337272652361963*cos(x58 - x59) - 2.74800558799463*
sin(x58 - x59)) + 0.669089359333159*x27*x27 - 6.66666666666667*x27*x29*
sin(x61 - x59) - x107 =E= 0;
e45.. -6.66666666666667*x28*x26*sin(x58 - x60) - x108 =E= 0;
e46.. -6.66666666666667*x29*x27*sin(x59 - x61) - x109 =E= 0;
e47.. -6.66666666666667*x30*x25*sin(x57 - x62) - x110 =E= 0;
e48.. -20*x31*x23*sin(x55 - x63) - x111 =E= 0;
e49.. -10*x32*x20*sin(x52 - x64) - x112 =E= 0;
e50.. 25.4742969121846*x17*x17 + x17*x18*(2.26704183302539*sin(x50 - x49) -
18.5374266808153*cos(x50 - x49)) + x17*x21*(13.6293753124381*sin(x53 -
x49) - 7.07407023136926*cos(x53 - x49)) - x113 - x129 + x145 =E= 0;
e51.. x18*x17*(2.26704183302539*sin(x49 - x50) - 18.5374266808153*cos(x49 - x50
)) + 25.7248427582125*x18*x18 + x18*x19*(1.26726581392059*sin(x51 - x50)
- 7.28131607739717*cos(x51 - x50)) - x114 - x130 + x146 =E= 0;
e52.. x19*x18*(1.26726581392059*sin(x50 - x51) - 7.28131607739717*cos(x50 - x51
)) + 8.82609777433267*x19*x19 + x19*x20*(0.27754515791681*sin(x52 - x51)
- 1.6615816969355*cos(x52 - x51)) - x115 - x131 + x147 =E= 0;
e53.. x20*x19*(0.27754515791681*sin(x51 - x52) - 1.6615816969355*cos(x51 - x52)
) + 27.0030745903615*x20*x20 + x20*x22*(0.864296115364742*sin(x54 - x52)
- 6.06886185353939*cos(x54 - x52)) + x20*x23*(0.824884423842853*sin(x55
- x52) - 6.35284123437183*cos(x55 - x52)) + x20*x25*(0.323309932984507*
sin(x57 - x52) - 3.06668980551481*cos(x57 - x52)) - 10*x20*x32*cos(x64 -
x52) - x116 - x132 + x148 =E= 0;
e54.. x21*x17*(13.6293753124381*sin(x49 - x53) - 7.07407023136926*cos(x49 - x53
)) + 14.428443500312*x21*x21 + x21*x22*(0.556466438117951*sin(x54 - x53)
- 3.59715804640533*cos(x54 - x53)) + x21*x23*(0.746980513063235*sin(x55
- x53) - 3.99601522253739*cos(x55 - x53)) - x117 - x133 + x149 =E= 0;
e55.. x22*x20*(0.864296115364742*sin(x52 - x54) - 6.06886185353939*cos(x52 -
x54)) + x22*x21*(0.556466438117951*sin(x53 - x54) - 3.59715804640533*cos(
x53 - x54)) + 9.58501989994471*x22*x22 - x118 - x134 + x150 =E= 0;
e56.. x23*x20*(0.824884423842853*sin(x52 - x55) - 6.35284123437183*cos(x52 -
x55)) + x23*x21*(0.746980513063235*sin(x53 - x55) - 3.99601522253739*cos(
x53 - x55)) + 86.6293805503822*x23*x23 + x23*x24*(6.44641418211119*sin(
x56 - x55) - 56.4061240934729*cos(x56 - x55)) - 20*x23*x31*cos(x63 - x55)
- x119 - x135 + x151 =E= 0.5;
e57.. x24*x23*(6.44641418211119*sin(x55 - x56) - 56.4061240934729*cos(x55 - x56
)) + 69.1318531090383*x24*x24 + x24*x25*(1.47850014374307*sin(x57 - x56)
- 12.7315290155653*cos(x57 - x56)) - x120 - x136 + x152 =E= 0;
e58.. x25*x20*(0.323309932984507*sin(x52 - x57) - 3.06668980551481*cos(x52 -
x57)) + x25*x24*(1.47850014374307*sin(x56 - x57) - 12.7315290155653*cos(
x56 - x57)) + 37.0715006492821*x25*x25 + x25*x26*(1.53864841883629*sin(
x58 - x57) - 12.6331133336033*cos(x58 - x57)) + x25*x27*(
0.331816706971196*sin(x59 - x57) - 2.02240182793204*cos(x59 - x57)) -
6.66666666666667*x25*x30*cos(x62 - x57) - x121 - x137 + x153 =E= 0.2;
e59.. x26*x25*(1.53864841883629*sin(x57 - x58) - 12.6331133336033*cos(x57 - x58
)) + 22.0194855882646*x26*x26 + x26*x27*(0.337272652361963*sin(x59 - x58)
- 2.74800558799463*cos(x59 - x58)) - 6.66666666666667*x26*x28*cos(x60 -
x58) - x122 - x138 + x154 =E= 0.2;
e60.. x27*x25*(0.331816706971196*sin(x57 - x59) - 2.02240182793204*cos(x57 -
x59)) + x27*x26*(0.337272652361963*sin(x58 - x59) - 2.74800558799463*cos(
x58 - x59)) + 11.3946740825933*x27*x27 - 6.66666666666667*x27*x29*cos(x61
- x59) - x123 - x139 + x155 =E= 0;
e61.. 6.66666666666667*x28*x28 - 6.66666666666667*x28*x26*cos(x58 - x60) - x124
- x140 + x156 =E= 0.2;
e62.. 6.66666666666667*x29*x29 - 6.66666666666667*x29*x27*cos(x59 - x61) - x125
- x141 + x157 =E= 0.2;
e63.. 6.66666666666667*x30*x30 - 6.66666666666667*x30*x25*cos(x57 - x62) - x126
- x142 + x158 =E= 0.2;
e64.. 20*x31*x31 - 20*x31*x23*cos(x55 - x63) - x127 - x143 + x159 =E= 0.5;
e65.. 10*x32*x32 - 10*x32*x20*cos(x52 - x64) - x128 - x144 + x160 =E= 0;
e66.. - x97 =G= -4;
e67.. - x99 =G= -0.8;
e68.. - x101 =G= -1.2;
e69.. - x104 =G= -0.24;
e70.. - x112 =G= -0.5;
e71.. x97 =G= 0;
e72.. x99 =G= 0;
e73.. x101 =G= 0;
e74.. x104 =G= 0;
e75.. x112 =G= 0;
e76.. - x113 =G= -0.6;
e77.. - x115 =G= -0.2;
e78.. - x117 =G= -0.6;
e79.. - x120 =G= -0.13;
e80.. - x128 =G= -0.24;
e81.. x113 =G= -0.2;
e82.. x115 =G= -0.08;
e83.. x117 =G= -0.3;
e84.. x120 =G= -0.1;
e85.. x128 =G= -0.04;
e86.. x98 =L= 0;
e87.. x100 =L= 0;
e88.. x102 =L= -0.329411764705882;
e89.. x103 =L= 0;
e90.. x105 =L= 0;
e91.. x106 =L= 0;
e92.. x107 =L= -0.352941176470588;
e93.. x108 =L= -0.658823529411765;
e94.. x109 =L= 0;
e95.. x110 =L= -0.517647058823529;
e96.. x111 =L= -2.82352941176471;
e97.. x114 =L= 0;
e98.. x116 =L= 0;
e99.. x118 =L= -0.0941176470588235;
e100.. x119 =L= 0;
e101.. x121 =L= 0;
e102.. x122 =L= 0;
e103.. x123 =L= -0.117647058823529;
e104.. x124 =L= -0.141176470588235;
e105.. x125 =L= 0;
e106.. x126 =L= -0.117647058823529;
e107.. x127 =L= -0.588235294117648;
e108.. - 100*x130 - 100*x132 - 100*x134 - 100*x135 - 100*x137 - 100*x138
- 100*x139 - 100*x140 - 100*x141 - 100*x142 - 100*x143 - 100*x146
- 100*x148 - 100*x150 - 100*x151 - 100*x153 - 100*x154 - 100*x155
- 100*x156 - 100*x157 - 100*x158 - 100*x159 + objvar - 10*b162
- 10*b163 - 10*b164 - 10*b165 - 10*b166 - 10*b167 - 10*b168 - 10*b169
- 10*b170 - 10*b171 - 10*b172 - 10*b173 - 10*b174 - 10*b175 - 10*b176
- 10*b177 - 10*b178 - 10*b179 - 10*b180 - 10*b181 - 10*b182 - 10*b183
=E= 0;
e109.. x130 - 0.4*b162 =L= 0;
e110.. x132 - 0.4*b163 =L= 0;
e111.. x134 - 0.4*b164 =L= 0;
e112.. x135 - 0.4*b165 =L= 0;
e113.. x137 - 0.4*b166 =L= 0;
e114.. x138 - 0.4*b167 =L= 0;
e115.. x139 - 0.4*b168 =L= 0;
e116.. x140 - 0.4*b169 =L= 0;
e117.. x141 - 0.4*b170 =L= 0;
e118.. x142 - 0.4*b171 =L= 0;
e119.. x143 - 0.4*b172 =L= 0;
e120.. x146 - 0.4*b173 =L= 0;
e121.. x148 - 0.4*b174 =L= 0;
e122.. x150 - 0.4*b175 =L= 0;
e123.. x151 - 0.4*b176 =L= 0;
e124.. x153 - 0.4*b177 =L= 0;
e125.. x154 - 0.4*b178 =L= 0;
e126.. x155 - 0.4*b179 =L= 0;
e127.. x156 - 0.4*b180 =L= 0;
e128.. x157 - 0.4*b181 =L= 0;
e129.. x158 - 0.4*b182 =L= 0;
e130.. x159 - 0.4*b183 =L= 0;
* set non-default bounds
x2.lo = 0.9; x2.up = 1.05;
x4.lo = 0.9; x4.up = 1.05;
x6.lo = 0.9; x6.up = 1.05;
x7.lo = 0.9; x7.up = 1.05;
x9.lo = 0.9; x9.up = 1.05;
x10.lo = 0.9; x10.up = 1.05;
x11.lo = 0.9; x11.up = 1.05;
x12.lo = 0.9; x12.up = 1.05;
x13.lo = 0.9; x13.up = 1.05;
x14.lo = 0.9; x14.up = 1.05;
x15.lo = 0.9; x15.up = 1.05;
x17.fx = 1.06;
x49.fx = 0;
x65.up = 4;
x66.fx = 0;
x67.up = 0.8;
x68.fx = 0;
x69.up = 1.2;
x70.fx = 0;
x71.fx = 0;
x72.up = 0.24;
x73.fx = 0;
x74.fx = 0;
x75.fx = 0;
x76.fx = 0;
x77.fx = 0;
x78.fx = 0;
x79.fx = 0;
x80.up = 0.5;
x81.lo = -0.2; x81.up = 0.6;
x82.fx = 0;
x83.lo = -0.08; x83.up = 0.2;
x84.fx = 0;
x85.lo = -0.3; x85.up = 0.6;
x86.fx = 0;
x87.fx = 0;
x88.lo = -0.1; x88.up = 0.13;
x89.fx = 0;
x90.fx = 0;
x91.fx = 0;
x92.fx = 0;
x93.fx = 0;
x94.fx = 0;
x95.fx = 0;
x96.lo = -0.04; x96.up = 0.24;
x129.fx = 0;
x131.fx = 0;
x133.fx = 0;
x136.fx = 0;
x144.fx = 0;
x145.fx = 0;
x147.fx = 0;
x149.fx = 0;
x152.fx = 0;
x160.fx = 0;
b173.fx = 0;
b174.fx = 0;
b175.fx = 0;
b176.fx = 0;
b177.fx = 0;
b178.fx = 0;
b179.fx = 0;
b180.fx = 0;
b181.fx = 0;
b182.fx = 0;
b183.fx = 0;
* set non-default levels
x1.l = 1;
x2.l = 1;
x3.l = 1;
x4.l = 1;
x5.l = 1;
x6.l = 1;
x7.l = 1;
x8.l = 1;
x9.l = 1;
x10.l = 1;
x11.l = 1;
x12.l = 1;
x13.l = 1;
x14.l = 1;
x15.l = 1;
x16.l = 1;
x18.l = 1.066509;
x19.l = 1.068869;
x20.l = 0.920165;
x21.l = 0.956102;
x22.l = 0.909677;
x23.l = 0.89072;
x24.l = 0.899717;
x25.l = 0.92757;
x26.l = 0.942703;
x27.l = 0.952092;
x28.l = 0.951126;
x29.l = 0.982623;
x30.l = 0.940819;
x31.l = 0.880136;
x32.l = 0.944062;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2024-04-02 Git hash: 1dd5fb9b