MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: deb10

Formats ams gms mod nl osil
Primal Bounds
209.42781160 p1 ( gdx sol )
(infeas: 3e-13)
Dual Bounds
0.00000000 (COUENNE)
10.00000000 (LINDO)
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 mul cos 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
Infeasibility of initial point 2.824
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of 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: 2018-09-14 Git hash: ac5a5314
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