MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance camcns

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
0.00000000 p1 ( gdx sol )
(infeas: 4e-12)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (SCIP)
References Condon, T, Dahl, H, and Devarajan, S, Implementing a Computable General equilibrium Model on GAMS - The Cameroon Model, Tech. Rep. DRD290, The World Bank, 1987.
Source GAMS Model Library model camcns
Application General Equilibrium
Added to library 31 Jul 2001
Problem type NLP
#Variables 280
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 242
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective type constant
Objective curvature linear
#Nonzeros in Objective 0
#Nonlinear Nonzeros in Objective 0
#Constraints 243
#Linear Constraints 96
#Quadratic Constraints 89
#Polynomial Constraints 1
#Signomial Constraints 40
#General Nonlinear Constraints 17
Operands in Gen. Nonlin. Functions div vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 1356
#Nonlinear Nonzeros in Jacobian 850
#Nonzeros in (Upper-Left) Hessian of Lagrangian 713
#Nonzeros in Diagonal of Hessian of Lagrangian 113
#Blocks in Hessian of Lagrangian 37
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 67
Average blocksize in Hessian of Lagrangian 6.540541
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.8362e-07
Maximal coefficient 1.9861e+03
Infeasibility of initial point 273.2
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
*        243      243        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        280      280        0        0        0        0        0        0
*  FX     37
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1356      506      850        0
*
*  Solve m using CNS;


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,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280;

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,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243;


e1.. -0.21*x74*(1 + x92) + x12 =E= 0;

e2.. -0.21*x75*(1 + x93) + x13 =E= 0;

e3.. -0.21*x76*(1 + x94) + x14 =E= 0;

e4.. -0.21*x77*(1 + x95) + x15 =E= 0;

e5.. -0.21*x78*(1 + x96) + x16 =E= 0;

e6.. -0.21*x79*(1 + x97) + x17 =E= 0;

e7.. -0.21*x80*(1 + x98) + x18 =E= 0;

e8.. -0.21*x81*(1 + x99) + x19 =E= 0;

e9.. -0.21*x82*(1 + x100) + x20 =E= 0;

e10..    x21 - 0.21*x83 =E= 0;

e11..    x22 - 0.21*x84 =E= 0;

e12..    x23 - 0.21*x85 =E= 0;

e13..    x24 - 0.21*x86 =E= 0;

e14..    x25 - 0.21*x87 =E= 0;

e15..    x26 - 0.21*x88 =E= 0;

e16..    x27 - 0.21*x89 =E= 0;

e17..    x28 - 0.21*x90 =E= 0;

e18..    x29 - 0.21*x91 =E= 0;

e19.. x52*x101 - (x1*x123 + x12*x143) =E= 0;

e20.. x53*x102 - (x2*x124 + x13*x144) =E= 0;

e21.. x54*x103 - (x3*x125 + x14*x145) =E= 0;

e22.. x55*x104 - (x4*x126 + x15*x146) =E= 0;

e23.. x56*x105 - (x5*x127 + x16*x147) =E= 0;

e24.. x57*x106 - (x6*x128 + x17*x148) =E= 0;

e25.. x58*x107 - (x7*x129 + x18*x149) =E= 0;

e26.. x59*x108 - (x8*x130 + x19*x150) =E= 0;

e27.. x60*x109 - x9*x131 =E= 0;

e28.. x61*x110 - (x10*x132 + x20*x151) =E= 0;

e29.. x62*x111 - x11*x133 =E= 0;

e30.. x41*x112 - (x1*x123 + x21*x134) =E= 0;

e31.. x42*x113 - (x2*x124 + x22*x135) =E= 0;

e32.. x43*x114 - (x3*x125 + x23*x136) =E= 0;

e33.. x44*x115 - (x4*x126 + x24*x137) =E= 0;

e34.. x45*x116 - (x5*x127 + x25*x138) =E= 0;

e35.. x46*x117 - (x6*x128 + x26*x139) =E= 0;

e36.. x47*x118 - (x7*x129 + x27*x140) =E= 0;

e37.. x48*x119 - (x8*x130 + x28*x141) =E= 0;

e38.. x49*x120 - x9*x131 =E= 0;

e39.. x50*x121 - (x10*x132 + x29*x142) =E= 0;

e40.. x51*x122 - x11*x133 =E= 0;

e41..    0.998*x41 - 0.03046*x52 - 0.00341*x55 - 0.00676*x57 - 2E-5*x58
       - 0.00041*x59 - 0.00472*x60 - 0.00375*x61 - 0.00022*x62 - x63 =E= 0;

e42..    0.809*x42 - 0.01518*x53 - 0.00629*x55 - 0.12385*x57 - 0.00025*x58
       - 0.00971*x59 - 0.00113*x60 - 0.30649*x61 - 0.00293*x62 - x64 =E= 0;

e43..    0.943*x43 - 0.02095*x57 - 0.00017*x58 - 0.02427*x59 - 0.00318*x60
       - 0.26666*x61 - 0.00327*x62 - x65 =E= 0;

e44..    0.962*x44 - 0.30266*x52 - 0.02043*x53 - 0.00243*x54 - 0.03241*x55
       - 0.00105*x56 - 0.03794*x57 - 0.11238*x58 - 0.00931*x59 - 0.10456*x60
       - 0.101*x61 - 0.00536*x62 - x66 =E= 0;

e45..    0.904*x45 - 0.00206*x52 - 0.01123*x53 - 0.01234*x55 - 0.05385*x56
       - 0.08309*x57 - 0.05095*x58 - 0.01229*x59 - 0.01831*x60 - 0.26072*x61
       - 0.00539*x62 - x67 =E= 0;

e46..    0.974*x46 - 0.00669*x53 - 0.02106*x54 - 0.00503*x55 - 0.00435*x56
       - 0.23461*x57 - 0.05593*x58 - 0.05259*x59 - 0.05302*x60 - 0.23006*x61
       - 0.00957*x62 - x68 =E= 0;

e47..    0.986*x47 - 0.18289*x57 - 0.27608*x58 - 0.02053*x59 - 0.00172*x60
       - 0.11793*x61 - 0.00486*x62 - x69 =E= 0;

e48..    0.971*x48 - 0.01567*x57 - 0.11722*x58 - 0.05013*x59 - 0.00031*x60
       - 0.09922*x61 - 0.00081*x62 - x70 =E= 0;

e49..    0.966*x49 - 0.14665*x57 - 0.18643*x58 - 0.02622*x59 - 0.01457*x60
       - 0.13692*x61 - 0.00447*x62 - x71 =E= 0;

e50..    0.924*x50 - 0.0412*x52 - 0.00092*x55 - 0.00103*x56 - 0.00929*x57
       - 0.00018*x58 - 0.00389*x59 - 0.00385*x60 - 0.13728*x61 - 0.00219*x62
       - x72 =E= 0;

e51..    x51 - 0.01532*x55 - 0.00338*x56 - 0.08466*x57 - 0.00394*x60
       - 0.24145*x61 - x73 =E= 0;

e52..    x30 - 0.23637*x52 - 0.5953*x59 - 0.16833*x60 =E= 0;

e53..    x31 - 0.60608*x59 - 0.39392*x60 =E= 0;

e54..    x32 - 0.63876*x59 - 0.36124*x60 =E= 0;

e55..    x33 - 0.60608*x59 - 0.39392*x60 =E= 0;

e56..    x34 - 0.78723*x59 - 0.21277*x60 =E= 0;

e57..    x35 - 0.63876*x59 - 0.36124*x60 =E= 0;

e58..    x36 - 0.63876*x59 - 0.36124*x60 =E= 0;

e59..    x37 - 0.60608*x59 - 0.39392*x60 =E= 0;

e60..    x38 - 0.71728*x59 - 0.28272*x60 =E= 0;

e61..    x39 - 0.1761*x59 - 0.8239*x60 =E= 0;

e62..    x40 - 0.1761*x59 - 0.8239*x60 =E= 0;

e63.. -0.348626201365843*x169**0.591704143715924*x170**0.0582597238824299*x152
      **0.350036132401646 + x112 =E= 0;

e64.. -0.680185222690116*x172**0.483284656725633*x173**0.0550000588458315*x174
      **0.0611187968573009*x153**0.400596487571234 + x113 =E= 0;

e65.. -1.11768973028935*x175**0.149254235561449*x176**0.0348456180057085*x177**
      0.116263119367405*x154**0.699637027065438 + x114 =E= 0;

e66.. -2.21735910972658*x178**0.124340785725101*x179**0.0903068596031718*x180**
      0.225706847485217*x155**0.559645507186511 + x115 =E= 0;

e67.. -1.88694831454469*x181**0.0757828604821368*x182**0.100164472424532*x183**
      0.333883770474614*x156**0.490168896618717 + x116 =E= 0;

e68.. -2.65949045747237*x184**0.0731780145986263*x185**0.0660918641265778*x186
      **0.331376040158155*x157**0.529354081116641 + x117 =E= 0;

e69.. -3.71261726260259*x187**0.0776869221224238*x188**0.0701815360171578*x189
      **0.351675762826827*x158**0.500455779033592 + x118 =E= 0;

e70.. -2.96103064874706*x190**0.121022424767353*x191**0.109585314794393*x192**
      0.469701808857944*x159**0.29969045158031 + x119 =E= 0;

e71.. -2.39484144268256*x193**0.0924402542329733*x194**0.116510660098669*x195**
      0.291297085362681*x160**0.499752000305677 + x120 =E= 0;

e72.. -1.60641806885198*x196**0.0419718698591821*x197**0.043565548709225*x198**
      0.214577655220338*x161**0.699884926211255 + x121 =E= 0;

e73.. -3.06021940672469*x200**0.161667833599912*x201**0.638134060622252*x162**
      0.200198105777836 + x122 =E= 0;

e74.. 1.0189*x163*x169 - 0.591704143715924*x112*x63 =E= 0;

e75.. 0.71491*x164*x170 - 0.0582597238824299*x112*x63 =E= 0;

e76.. 0.49556*x163*x172 - 0.483284656725633*x113*x64 =E= 0;

e77.. 0.34774*x164*x173 - 0.0550000588458315*x113*x64 =E= 0;

e78.. 0.29222*x165*x174 - 0.0611187968573009*x113*x64 =E= 0;

e79.. 3.2628*x163*x175 - 0.149254235561449*x114*x65 =E= 0;

e80.. 2.289*x164*x176 - 0.0348456180057085*x114*x65 =E= 0;

e81.. 1.9232*x165*x177 - 0.116263119367405*x114*x65 =E= 0;

e82.. 1.4571*x163*x178 - 0.124340785725101*x115*x66 =E= 0;

e83.. 1.0223*x164*x179 - 0.0903068596031718*x115*x66 =E= 0;

e84.. 0.85902*x165*x180 - 0.225706847485217*x115*x66 =E= 0;

e85.. 1.1335*x163*x181 - 0.0757828604821368*x116*x67 =E= 0;

e86.. 0.79531*x164*x182 - 0.100164472424532*x116*x67 =E= 0;

e87.. 0.66829*x165*x183 - 0.333883770474614*x116*x67 =E= 0;

e88.. 3.1074*x163*x184 - 0.0731780145986263*x117*x68 =E= 0;

e89.. 2.1806*x164*x185 - 0.0660918641265778*x117*x68 =E= 0;

e90.. 1.8323*x165*x186 - 0.331376040158155*x117*x68 =E= 0;

e91.. 6.3224*x163*x187 - 0.0776869221224238*x118*x69 =E= 0;

e92.. 4.4364*x164*x188 - 0.0701815360171578*x118*x69 =E= 0;

e93.. 3.7277*x165*x189 - 0.351675762826827*x118*x69 =E= 0;

e94.. 2.5035*x163*x190 - 0.121022424767353*x119*x70 =E= 0;

e95.. 1.7552*x164*x191 - 0.109585314794393*x119*x70 =E= 0;

e96.. 1.4758*x165*x192 - 0.469701808857944*x119*x70 =E= 0;

e97.. 2.9204*x163*x193 - 0.0924402542329733*x120*x71 =E= 0;

e98.. 2.0492*x164*x194 - 0.116510660098669*x120*x71 =E= 0;

e99.. 1.722*x165*x195 - 0.291297085362681*x120*x71 =E= 0;

e100.. 1.4039*x163*x196 - 0.0419718698591821*x121*x72 =E= 0;

e101.. 0.98502*x164*x197 - 0.043565548709225*x121*x72 =E= 0;

e102.. 0.82776*x165*x198 - 0.214577655220338*x121*x72 =E= 0;

e103.. 1.3263*x164*x200 - 0.161667833599912*x122*x73 =E= 0;

e104.. 1.1146*x165*x201 - 0.638134060622252*x122*x73 =E= 0;

e105..  - x166 + x169 + x172 + x175 + x178 + x181 + x184 + x187 + x190 + x193
        + x196 + x199 =E= 0;

e106..  - x167 + x170 + x173 + x176 + x179 + x182 + x185 + x188 + x191 + x194
        + x197 + x200 =E= 0;

e107..  - x168 + x171 + x174 + x177 + x180 + x183 + x186 + x189 + x192 + x195
        + x198 + x201 =E= 0;

e108.. -5.72216894860587*(0.944861892175094*x134**1.66666666666667 + 
       0.0551381078249061*x123**1.66666666666667)**0.6 + x112 =E= 0;

e109.. -4.99979321888645*(0.0353543488443489*x135**2.11111111111111 + 
       0.964645651155651*x124**2.11111111111111)**0.473684210526316 + x113
        =E= 0;

e110.. -2.79269101167534*(0.05508371623155*x136**3.5 + 0.94491628376845*x125**
       3.5)**0.285714285714286 + x114 =E= 0;

e111.. -2.10689150598303*(0.641647913381258*x137**1.8 + 0.358352086618742*x126
       **1.8)**0.555555555555556 + x115 =E= 0;

e112.. -3.99769535823713*(0.914022236523412*x138**1.8 + 0.0859777634765883*x127
       **1.8)**0.555555555555556 + x116 =E= 0;

e113.. -2.17505279839047*(0.765442555052006*x139**3 + 0.234557444947994*x128**3
       )**0.333333333333333 + x117 =E= 0;

e114.. -2.2235735647324*(0.747162916304351*x140**2.33333333333333 + 
       0.252837083695649*x129**2.33333333333333)**0.428571428571429 + x118
        =E= 0;

e115.. -2.16789079504864*(0.786120077017958*x141**3.5 + 0.213879922982042*x130
       **3.5)**0.285714285714286 + x119 =E= 0;

e116.. -4.24607449264426*(0.99095437853716*x142**3.5 + 0.00904562146284027*x132
       **3.5)**0.285714285714286 + x121 =E= 0;

e117.. -4.76190476190476/x83 + 0.21767522855899*x134 =E= 0;

e118.. -4.76190476190476/x84 + 0.00799552250739586*x135 =E= 0;

e119.. -4.76190476190476/x85 + 0.0447687693065318*x136 =E= 0;

e120.. -(4.76190476190476/x86)**4 + 0.0426421048142936*x137 =E= 0;

e121.. -(4.76190476190476/x87)**4 + 0.170532060027285*x138 =E= 0;

e122.. -(4.76190476190476/x88)**4 + 0.00986874568242376*x139 =E= 0;

e123.. -(4.76190476190476/x89)**4 + 0.095229025807066*x140 =E= 0;

e124.. -(4.76190476190476/x90)**4 + 0.260552371026576*x141 =E= 0;

e125.. -(4.76190476190476/x91)**4 + 0.0122509984563742*x142 =E= 0;

e126.. x134/x123 - (0.0583557324954411*x21/x1)**1.5 =E= 0;

e127.. x135/x124 - (27.2850634416321*x22/x2)**0.9 =E= 0;

e128.. x136/x125 - (17.1541854546705*x23/x3)**0.4 =E= 0;

e129.. x137/x126 - (0.558487106628857*x24/x4)**1.25 =E= 0;

e130.. x138/x127 - (0.0940652864241187*x25/x5)**1.25 =E= 0;

e131.. x139/x128 - (0.306433766191713*x26/x6)**0.5 =E= 0;

e132.. x140/x129 - (0.338396189342804*x27/x7)**0.75 =E= 0;

e133.. x141/x130 - (0.272070297190942*x28/x8)**0.4 =E= 0;

e134.. x142/x132 - (0.00912819162895607*x29/x10)**0.4 =E= 0;

e135.. -1.10325026662151*(0.0370647458905842*x143**0.333333333333333 + 
       0.962935254109416*x123**0.333333333333333)**3 + x101 =E= 0;

e136.. -1.98532386803851*(0.563854034767165*x144**(-0.111111111111111) + 
       0.436145965232835*x124**(-0.111111111111111))**(-9) + x102 =E= 0;

e137.. -1.00535466469863*(5.83616184527433e-7*x145**(-1.5) + 0.999999416383816*
       x125**(-1.5))**(-0.666666666666667) + x103 =E= 0;

e138.. -1.82814005462734*(0.310904931212933*x146**0.2 + 0.689095068787067*x126
       **0.2)**5 + x104 =E= 0;

e139.. -1.79253695247653*(0.291366194102231*x147**0.2 + 0.708633805897769*x127
       **0.2)**5 + x105 =E= 0;

e140.. -1.96246423998974/(0.364295738146347/x148 + 0.635704261853653/x128)
        + x106 =E= 0;

e141.. -1.83992769362744*(0.728478987270362*x149**(-0.333333333333333) + 
       0.271521012729638*x129**(-0.333333333333333))**(-3) + x107 =E= 0;

e142.. -1.08082678039911*(0.999496751491372*x150**(-1.5) + 0.000503248508628373
       *x130**(-1.5))**(-0.666666666666667) + x108 =E= 0;

e143.. -1.2369183993012*(0.00719743378715518*x151**(-1.5) + 0.992802566212845*
       x132**(-1.5))**(-0.666666666666667) + x110 =E= 0;

e144.. x143/x123 - (0.0384914206146332*x1/x12)**1.5 =E= 0;

e145.. x144/x124 - (1.29281038852705*x2/x13)**0.9 =E= 0;

e146.. x145/x125 - (5.83616525135482e-7*x3/x14)**0.4 =E= 0;

e147.. x146/x126 - (0.451178575055228*x4/x15)**1.25 =E= 0;

e148.. x147/x127 - (0.411166094077461*x5/x16)**1.25 =E= 0;

e149.. x148/x128 - (0.573058511648318*x6/x17)**0.5 =E= 0;

e150.. x149/x129 - (2.68295621008062*x7/x18)**0.75 =E= 0;

e151.. x150/x130 - (1986.08984299933*x8/x19)**0.4 =E= 0;

e152.. x151/x132 - (0.00724961239233152*x10/x20)**0.4 =E= 0;

e153..  - x120 + x131 =E= 0;

e154..  - x122 + x133 =E= 0;

e155..    x109 - x131 =E= 0;

e156..    x111 - x133 =E= 0;

e157..  - 0.03046*x112 - 0.30266*x115 - 0.00206*x116 - 0.0412*x121 + x202 =E= 0
       ;

e158..  - 0.01518*x113 - 0.02043*x115 - 0.01123*x116 - 0.00669*x117 + x203
        =E= 0;

e159..  - 0.00243*x115 - 0.02106*x117 + x204 =E= 0;

e160..  - 0.00341*x112 - 0.00629*x113 - 0.03241*x115 - 0.01234*x116
        - 0.00503*x117 - 0.00092*x121 - 0.01532*x122 + x205 =E= 0;

e161..  - 0.00105*x115 - 0.05385*x116 - 0.00435*x117 - 0.00103*x121
        - 0.00338*x122 + x206 =E= 0;

e162..  - 0.00676*x112 - 0.12385*x113 - 0.02095*x114 - 0.03794*x115
        - 0.08309*x116 - 0.23461*x117 - 0.18289*x118 - 0.01567*x119
        - 0.14665*x120 - 0.00929*x121 - 0.08466*x122 + x207 =E= 0;

e163..  - 2E-5*x112 - 0.00025*x113 - 0.00017*x114 - 0.11238*x115 - 0.05095*x116
        - 0.05593*x117 - 0.27608*x118 - 0.11722*x119 - 0.18643*x120
        - 0.00018*x121 + x208 =E= 0;

e164..  - 0.00041*x112 - 0.00971*x113 - 0.02427*x114 - 0.00931*x115
        - 0.01229*x116 - 0.05259*x117 - 0.02053*x118 - 0.05013*x119
        - 0.02622*x120 - 0.00389*x121 + x209 =E= 0;

e165..  - 0.00472*x112 - 0.00113*x113 - 0.00318*x114 - 0.10456*x115
        - 0.01831*x116 - 0.05302*x117 - 0.00172*x118 - 0.00031*x119
        - 0.01457*x120 - 0.00385*x121 - 0.00394*x122 + x210 =E= 0;

e166..  - 0.00375*x112 - 0.30649*x113 - 0.26666*x114 - 0.101*x115
        - 0.26072*x116 - 0.23006*x117 - 0.11793*x118 - 0.09922*x119
        - 0.13692*x120 - 0.13728*x121 - 0.24145*x122 + x211 =E= 0;

e167..  - 0.00022*x112 - 0.00293*x113 - 0.00327*x114 - 0.00536*x115
        - 0.00539*x116 - 0.00957*x117 - 0.00486*x118 - 0.00081*x119
        - 0.00447*x120 - 0.00219*x121 + x212 =E= 0;

e168.. x52*x213 - (0.2744 - 0.2744*x263)*x257 =E= 0;

e169.. x53*x214 - (0.00445 - 0.00445*x263)*x257 =E= 0;

e170.. x54*x215 =E= 0;

e171.. x55*x216 - (0.05599 - 0.05599*x263)*x257 =E= 0;

e172.. x56*x217 - (0.14099 - 0.14099*x263)*x257 =E= 0;

e173.. x57*x218 - (0.17738 - 0.17738*x263)*x257 =E= 0;

e174.. x58*x219 =E= 0;

e175.. x59*x220 =E= 0;

e176.. x60*x221 - (0.004 - 0.004*x263)*x257 =E= 0;

e177.. x61*x222 - (0.31921 - 0.31921*x263)*x257 =E= 0;

e178.. x62*x223 - (0.02358 - 0.02358*x263)*x257 =E= 0;

e179..  - 0.012203*x112 + x246 =E= 0;

e180..  - 0.026694*x113 + x247 =E= 0;

e181..  - 0.034742*x114 + x248 =E= 0;

e182..  - 0.044291*x115 + x249 =E= 0;

e183..  - 0.059958*x116 + x250 =E= 0;

e184..  - 0.012287*x117 + x251 =E= 0;

e185..    x252 =E= 0;

e186..  - 0.042047*x119 + x253 =E= 0;

e187..    x254 =E= 0;

e188..    x255 =E= 0;

e189..    x256 =E= 0;

e190.. -(x63*x112 + x64*x113 + x65*x114 + x66*x115 + x67*x116 + x68*x117 + x69*
       x118 + x70*x119 + x71*x120 + x72*x121 + x73*x122) + x257 + x266 =E= 0;

e191..    x224 =E= 0;

e192..    x225 =E= 0;

e193..    x226 =E= 0;

e194..    x227 =E= 0;

e195..    x228 =E= 0;

e196..    x229 =E= 0;

e197..    x230 =E= 0;

e198..    x231 =E= 0;

e199..    x232 =E= 0;

e200..    x233 =E= 0;

e201..    x234 - x262 =E= 0;

e202..    x258 - x259 - x260 - x261 =E= 0;

e203.. -0.21*(x92*x143*x74 + x93*x144*x75 + x94*x145*x76 + x95*x146*x77 + x96*
       x147*x78 + x97*x148*x79 + x98*x149*x80 + x99*x150*x81 + x100*x151*x82)
        + x259 =E= 0;

e204.. -(0.002*x41*x112 + 0.191*x42*x113 + 0.057*x43*x114 + 0.038*x44*x115 + 
       0.096*x45*x116 + 0.026*x46*x117 + 0.014*x47*x118 + 0.029*x48*x119 + 
       0.034*x49*x120 + 0.076*x50*x121) + x260 =E= 0;

e205..    x261 =E= 0;

e206.. -x263*x257 + x264 =E= 0;

e207.. -(x52*x224 + x53*x225 + x54*x226 + x55*x227 + x56*x228 + x57*x229 + x58*
       x230 + x59*x231 + x60*x232 + x61*x233 + x62*x234) + x258 - x265 =E= 0;

e208.. -(0.0246*x30*x152 + 0.0472*x31*x153 + 0.0244*x32*x154 + 0.0144*x33*x155
        + 0.0212*x34*x156 + 0.0335*x35*x157 + 0.0335*x36*x158 + 0.0111*x37*x159
        + 0.0232*x38*x160 + 0.0637*x39*x161 + 0.0637*x40*x162) + x266 =E= 0;

e209..  - x264 - x265 - x266 + x267 - 0.21*x268 =E= 0;

e210.. x30*x269 + 0.11*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.11*x267 =E= 0;

e211.. x31*x270 + 0.09*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.09*x267 =E= 0;

e212.. x32*x271 + 0.06*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.06*x267 =E= 0;

e213.. x33*x272 + 0.01*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.01*x267 =E= 0;

e214.. x34*x273 + 0.04*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.04*x267 =E= 0;

e215.. x35*x274 + 0.14*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.14*x267 =E= 0;

e216.. x36*x275 + 0.02*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.02*x267 =E= 0;

e217.. x37*x276 + 0.01*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.01*x267 =E= 0;

e218.. x38*x277 + 0.08*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.08*x267 =E= 0;

e219.. x39*x278 + 0.34*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.34*x267 =E= 0;

e220.. x40*x279 + 0.1*(x246*x52 + x247*x53 + x248*x54 + x249*x55 + x250*x56 + 
       x251*x57 + x252*x58 + x253*x59 + x254*x60 + x255*x61 + x256*x62)
        - 0.1*x267 =E= 0;

e221..    x235 - 0.23637*x269 =E= 0;

e222..    x236 =E= 0;

e223..    x237 =E= 0;

e224..    x238 =E= 0;

e225..    x239 =E= 0;

e226..    x240 =E= 0;

e227..    x241 =E= 0;

e228..    x242 - 0.5953*x269 - 0.60608*x270 - 0.63876*x271 - 0.60608*x272
        - 0.78723*x273 - 0.63876*x274 - 0.63876*x275 - 0.60608*x276
        - 0.71728*x277 - 0.1761*x278 - 0.1761*x279 =E= 0;

e229..    x243 - 0.16833*x269 - 0.39392*x270 - 0.36124*x271 - 0.39392*x272
        - 0.21277*x273 - 0.36124*x274 - 0.36124*x275 - 0.39392*x276
        - 0.28272*x277 - 0.8239*x278 - 0.8239*x279 =E= 0;

e230..    x244 =E= 0;

e231..    x245 =E= 0;

e232..    x101 - x202 - x213 - x224 - x235 - x246 =E= 0;

e233..    x102 - x203 - x214 - x225 - x236 - x247 =E= 0;

e234..    x103 - x204 - x215 - x226 - x237 - x248 =E= 0;

e235..    x104 - x205 - x216 - x227 - x238 - x249 =E= 0;

e236..    x105 - x206 - x217 - x228 - x239 - x250 =E= 0;

e237..    x106 - x207 - x218 - x229 - x240 - x251 =E= 0;

e238..    x107 - x208 - x219 - x230 - x241 - x252 =E= 0;

e239..    x108 - x209 - x220 - x231 - x242 - x253 =E= 0;

e240..    x109 - x210 - x221 - x232 - x243 - x254 =E= 0;

e241..    x110 - x211 - x222 - x233 - x244 - x255 =E= 0;

e242..    x111 - x212 - x223 - x234 - x245 - x256 =E= 0;

e243.. -x213**0.2744*x214**0.00445*x216**0.05599*x217**0.14099*x218**0.17738*
       x221**0.004*x222**0.31921*x223**0.02358 + x280 =E= 0;

* set non-default bounds
x1.lo = 0.01;
x2.lo = 0.01;
x3.lo = 0.01;
x4.lo = 0.01;
x5.lo = 0.01;
x6.lo = 0.01;
x7.lo = 0.01;
x8.lo = 0.01;
x9.lo = 0.01;
x10.lo = 0.01;
x11.lo = 0.01;
x12.lo = 0.01;
x13.lo = 0.01;
x14.lo = 0.01;
x15.lo = 0.01;
x16.lo = 0.01;
x17.lo = 0.01;
x18.lo = 0.01;
x19.lo = 0.01;
x20.lo = 0.01;
x30.lo = 0.01;
x31.lo = 0.01;
x32.lo = 0.01;
x33.lo = 0.01;
x34.lo = 0.01;
x35.lo = 0.01;
x36.lo = 0.01;
x37.lo = 0.01;
x38.lo = 0.01;
x39.lo = 0.01;
x40.lo = 0.01;
x41.lo = 0.01;
x42.lo = 0.01;
x43.lo = 0.01;
x44.lo = 0.01;
x45.lo = 0.01;
x46.lo = 0.01;
x47.lo = 0.01;
x48.lo = 0.01;
x49.lo = 0.01;
x50.lo = 0.01;
x51.lo = 0.01;
x52.lo = 0.01;
x53.lo = 0.01;
x54.lo = 0.01;
x55.lo = 0.01;
x56.lo = 0.01;
x57.lo = 0.01;
x58.lo = 0.01;
x59.lo = 0.01;
x60.lo = 0.01;
x61.lo = 0.01;
x62.lo = 0.01;
x74.fx = 3.90160160745986;
x75.fx = 3.8620476576681;
x76.fx = 3.72606006408823;
x77.fx = 3.51847551492889;
x78.fx = 3.44416661500417;
x79.fx = 4.04648603153022;
x80.fx = 3.7694172104051;
x81.fx = 3.75544539582394;
x82.fx = 4.76190476190476;
x83.lo = 0.01;
x84.lo = 0.01;
x85.lo = 0.01;
x86.lo = 0.01;
x87.lo = 0.01;
x88.lo = 0.01;
x89.lo = 0.01;
x90.lo = 0.01;
x91.lo = 0.01;
x92.fx = 0.2205;
x93.fx = 0.233;
x94.fx = 0.278;
x95.fx = 0.3534;
x96.fx = 0.3826;
x97.fx = 0.1768;
x98.fx = 0.2633;
x99.fx = 0.268;
x100.fx = 0;
x101.lo = 0.01;
x102.lo = 0.01;
x103.lo = 0.01;
x104.lo = 0.01;
x105.lo = 0.01;
x106.lo = 0.01;
x107.lo = 0.01;
x108.lo = 0.01;
x109.lo = 0.01;
x110.lo = 0.01;
x111.lo = 0.01;
x112.lo = 0.01;
x113.lo = 0.01;
x114.lo = 0.01;
x115.lo = 0.01;
x116.lo = 0.01;
x117.lo = 0.01;
x118.lo = 0.01;
x119.lo = 0.01;
x120.lo = 0.01;
x121.lo = 0.01;
x122.lo = 0.01;
x123.lo = 0.01;
x124.lo = 0.01;
x125.lo = 0.01;
x126.lo = 0.01;
x127.lo = 0.01;
x128.lo = 0.01;
x129.lo = 0.01;
x130.lo = 0.01;
x132.lo = 0.01;
x134.lo = 0.01;
x135.lo = 0.01;
x136.lo = 0.01;
x137.lo = 0.01;
x138.lo = 0.01;
x139.lo = 0.01;
x140.lo = 0.01;
x141.lo = 0.01;
x142.lo = 0.01;
x143.lo = 0.01;
x144.lo = 0.01;
x145.lo = 0.01;
x146.lo = 0.01;
x147.lo = 0.01;
x148.lo = 0.01;
x149.lo = 0.01;
x150.lo = 0.01;
x151.lo = 0.01;
x152.fx = 495.73;
x153.fx = 170.89;
x154.fx = 73.76;
x155.fx = 140;
x156.fx = 236.87;
x157.fx = 853.13;
x158.fx = 102.51;
x159.fx = 20.6;
x160.fx = 435.29;
x161.fx = 769.73;
x162.fx = 180.36;
x163.lo = 0.01;
x164.lo = 0.01;
x165.lo = 0.01;
x166.fx = 2270.04;
x167.fx = 515.064;
x168.fx = 132.515;
x169.lo = 0.01;
x170.lo = 0.01;
x171.fx = 0;
x172.lo = 0.01;
x173.lo = 0.01;
x174.lo = 0.01;
x175.lo = 0.01;
x176.lo = 0.01;
x177.lo = 0.01;
x178.lo = 0.01;
x179.lo = 0.01;
x180.lo = 0.01;
x181.lo = 0.01;
x182.lo = 0.01;
x183.lo = 0.01;
x184.lo = 0.01;
x185.lo = 0.01;
x186.lo = 0.01;
x187.lo = 0.01;
x188.lo = 0.01;
x189.lo = 0.01;
x190.lo = 0.01;
x191.lo = 0.01;
x192.lo = 0.01;
x193.lo = 0.01;
x194.lo = 0.01;
x195.lo = 0.01;
x196.lo = 0.01;
x197.lo = 0.01;
x198.lo = 0.01;
x199.fx = 0;
x200.lo = 0.01;
x201.lo = 0.01;
x202.lo = 0.01;
x203.lo = 0.01;
x204.lo = 0.01;
x205.lo = 0.01;
x206.lo = 0.01;
x207.lo = 0.01;
x208.lo = 0.01;
x209.lo = 0.01;
x210.lo = 0.01;
x211.lo = 0.01;
x212.lo = 0.01;
x257.lo = 0.01;
x262.fx = 135.03;
x263.fx = 0.09305;
x268.fx = 36.841;

* 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;
x17.l = 1;
x18.l = 1;
x19.l = 1;
x20.l = 1;
x21.l = 1;
x22.l = 1;
x23.l = 1;
x24.l = 1;
x25.l = 1;
x26.l = 1;
x27.l = 1;
x28.l = 1;
x29.l = 1;
x30.l = 1;
x31.l = 1;
x32.l = 1;
x33.l = 1;
x34.l = 1;
x35.l = 1;
x36.l = 1;
x37.l = 1;
x38.l = 1;
x39.l = 1;
x40.l = 1;
x41.l = 1;
x42.l = 1;
x43.l = 1;
x44.l = 1;
x45.l = 1;
x46.l = 1;
x47.l = 1;
x48.l = 1;
x49.l = 1;
x50.l = 1;
x51.l = 1;
x52.l = 1;
x53.l = 1;
x54.l = 1;
x55.l = 1;
x56.l = 1;
x57.l = 1;
x58.l = 1;
x59.l = 1;
x60.l = 1;
x61.l = 1;
x62.l = 1;
x63.l = 0.94825;
x64.l = 0.34317;
x65.l = 0.6245;
x66.l = 0.23247;
x67.l = 0.39377;
x68.l = 0.30109;
x69.l = 0.38199;
x70.l = 0.68764;
x71.l = 0.45074;
x72.l = 0.72417;
x73.l = 0.65125;
x83.l = 4.76190476190476;
x84.l = 4.76190476190476;
x85.l = 4.76190476190476;
x86.l = 4.76190476190476;
x87.l = 4.76190476190476;
x88.l = 4.76190476190476;
x89.l = 4.76190476190476;
x90.l = 4.76190476190476;
x91.l = 4.76190476190476;
x101.l = 328.347;
x102.l = 14.419;
x103.l = 7.189;
x104.l = 66.534;
x105.l = 149.628;
x106.l = 321.62;
x107.l = 73.284;
x108.l = 141.18;
x109.l = 174.12;
x110.l = 608.603;
x111.l = 163.98;
x112.l = 330.48;
x113.l = 131.45;
x114.l = 29.503;
x115.l = 72.024;
x116.l = 118.43;
x117.l = 284.38;
x118.l = 34.169;
x119.l = 10.298;
x120.l = 174.12;
x121.l = 615.79;
x122.l = 163.98;
x123.l = 325.886;
x124.l = 6.38;
x125.l = 7.166;
x126.l = 48.573;
x127.l = 112.566;
x128.l = 183.05;
x129.l = 23.668;
x130.l = 6.46;
x131.l = 174.12;
x132.l = 534.164;
x133.l = 163.98;
x134.l = 4.594;
x135.l = 125.07;
x136.l = 22.337;
x137.l = 23.451;
x138.l = 5.864;
x139.l = 101.33;
x140.l = 10.501;
x141.l = 3.838;
x142.l = 81.626;
x143.l = 2.461;
x144.l = 8.039;
x145.l = 0.023;
x146.l = 17.961;
x147.l = 37.062;
x148.l = 138.57;
x149.l = 49.616;
x150.l = 134.72;
x151.l = 74.439;
x163.l = 0.11;
x164.l = 0.15678;
x165.l = 1.8657;
x169.l = 1654.43;
x170.l = 162.89;
x172.l = 399.93;
x173.l = 45.508;
x174.l = 5.057;
x175.l = 7.662;
x176.l = 1.789;
x177.l = 0.597;
x178.l = 12.989;
x179.l = 9.434;
x180.l = 2.358;
x181.l = 28.344;
x182.l = 37.462;
x183.l = 12.488;
x184.l = 18.331;
x185.l = 16.553;
x186.l = 8.3;
x187.l = 1.458;
x188.l = 1.317;
x189.l = 0.66;
x190.l = 3.112;
x191.l = 2.82;
x192.l = 1.208;
x193.l = 22.584;
x194.l = 28.462;
x195.l = 7.116;
x196.l = 121.2;
x197.l = 125.8;
x198.l = 61.96;
x200.l = 83.029;
x201.l = 32.771;
x202.l = 57.47971844;
x203.l = 6.69933242;
x204.l = 6.16406112;
x205.l = 10.25861314;
x206.l = 8.8786498;
x207.l = 149.97201818;
x208.l = 73.29046951;
x209.l = 27.38808426;
x210.l = 32.19509814;
x211.l = 305.99108721;
x212.l = 6.60153107;
x213.l = 260.125712;
x214.l = 4.218511;
x216.l = 53.0774002;
x217.l = 133.6557002;
x218.l = 168.1526924;
x221.l = 3.79192;
x222.l = 302.6046958;
x223.l = 22.3533684;
x234.l = 135.03;
x235.l = 6.71;
x242.l = 113.36;
x243.l = 138.13;
x246.l = 4.033;
x247.l = 3.509;
x248.l = 1.025;
x249.l = 3.19;
x250.l = 7.101;
x251.l = 3.494;
x253.l = 0.433;
x257.l = 1045.29814071;
x258.l = 179;
x259.l = 76.548;
x260.l = 102.45;
x267.l = 280.98;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set CNS $set CNS CNS
Solve m using %CNS% 


Last updated: 2024-12-17 Git hash: 8eaceb91
Imprint / Privacy Policy / License: CC-BY 4.0