MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance bayes2_10

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
0.01837518 p1 ( gdx sol )
(infeas: 3e-13)
0.01514378 p2 ( gdx sol )
(infeas: 2e-12)
0.00030565 p3 ( gdx sol )
(infeas: 1e-10)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000001 (ANTIGONE)
0.00030509 (BARON)
0.00000000 (COUENNE)
0.00000000 (GUROBI)
0.00000000 (LINDO)
0.00000000 (SCIP)
References Greenberg, Betsy, Lasdon, L S, and Plummer, John, Using Global Optimization to Estimate Population Class Sizes, Journal of Global Optimization, 36:3, 2006, 319-338.
Source Leon Lasdon
Added to library 31 Jul 2001
Removed from library 01 Mar 2022
Removed because Numerically difficult formulation (coefficient of order 1E-11)
Problem type QCP
#Variables 86
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 65
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 20
#Nonlinear Nonzeros in Objective 0
#Constraints 77
#Linear Constraints 22
#Quadratic Constraints 55
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 586
#Nonlinear Nonzeros in Jacobian 440
#Nonzeros in (Upper-Left) Hessian of Lagrangian 770
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 65
Maximal blocksize in Hessian of Lagrangian 65
Average blocksize in Hessian of Lagrangian 65.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 9.4106e-11
Maximal coefficient 4.4900e+02
Infeasibility of initial point 9945
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
*         78       68       10        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         87       87        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        607      167      440        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,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,objvar;

Positive 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;

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;


e1.. 0.0997999999999999*x2 - x12*(0.0997999999999999*x2 + 0.179697889788979*x3
      + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
     0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
     0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e2.. 0.179697889788979*x3 - x13*(0.0997999999999999*x2 + 0.179697889788979*x3
      + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
     0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
     0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e3.. 0.00995105510551053*x3 - x14*(0.00995105510551053*x3 + 0.0268791952569931*
     x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
      + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
     0.193354379355624*x11) =E= 0;

e4.. 0.242667639426474*x4 - x15*(0.0997999999999999*x2 + 0.179697889788979*x3
      + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
     0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
     0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e5.. 0.0268791952569931*x4 - x16*(0.00995105510551053*x3 + 0.0268791952569931*
     x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
      + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
     0.193354379355624*x11) =E= 0;

e6.. 0.000991323353179483*x4 - x17*(0.000991323353179483*x4 + 
     0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7 + 
     0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10 + 
     0.0570927439209041*x11) =E= 0;

e7.. 0.291288553877934*x5 - x18*(0.0997999999999999*x2 + 0.179697889788979*x3
      + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
     0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
     0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e8.. 0.0484024480360498*x5 - x19*(0.00995105510551053*x3 + 0.0268791952569931*
     x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
      + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
     0.193354379355624*x11) =E= 0;

e9.. 0.00357062831862428*x5 - x20*(0.000991323353179483*x4 + 
     0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7 + 
     0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10 + 
     0.0570927439209041*x11) =E= 0;

e10.. 9.86662735234163e-5*x5 - x21*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e11.. 0.32779432977535*x6 - x22*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e12.. 0.0726327251441325*x6 - x23*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e13.. 0.00803802158261731*x6 - x24*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e14.. 0.000444274606971685*x6 - x25*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e15.. 9.81135212907916e-6*x6 - x26*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e16.. 0.354116263650056*x7 - x27*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e17.. 0.098092330200907*x7 - x28*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e18.. 0.0144756766870547*x7 - x29*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e19.. 0.00120027485863495*x7 - x30*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e20.. 5.30195849120382e-5*x7 - x31*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e21.. 9.74754643739431e-7*x7 - x32*(9.74754643739431e-7*x7 + 
      6.14600651596926e-6*x8 + 2.21435823677529e-5*x9 + 5.9835540825593e-5*x10
       + 0.000134736270615932*x11) =E= 0;

e22.. 0.371921288913631*x8 - x33*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e23.. 0.123643056034308*x8 - x34*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e24.. 0.0228103437449379*x8 - x35*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e25.. 0.00252209045740786*x8 - x36*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e26.. 0.000167130527644226*x8 - x37*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e27.. 6.14600651596926e-6*x8 - x38*(9.74754643739431e-7*x7 + 
      6.14600651596926e-6*x8 + 2.21435823677529e-5*x9 + 5.9835540825593e-5*x10
       + 0.000134736270615932*x11) =E= 0;

e28.. 9.67537128866831e-8*x8 - x39*(9.67537128866831e-8*x8 + 
      6.97269627463954e-7*x9 + 2.82651697614227e-6*x10 + 8.48718939888591e-6*
      x11) =E= 0;

e29.. 0.382645442102839*x9 - x40*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e30.. 0.148426108294561*x9 - x41*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e31.. 0.0328625995023637*x9 - x42*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e32.. 0.00454243811192095*x9 - x43*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e33.. 0.000401394242315761*x9 - x44*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e34.. 2.21435823677529e-5*x9 - x45*(9.74754643739431e-7*x7 + 
      6.14600651596926e-6*x8 + 2.21435823677529e-5*x9 + 5.9835540825593e-5*x10
       + 0.000134736270615932*x11) =E= 0;

e35.. 6.97269627463954e-7*x9 - x46*(9.67537128866831e-8*x8 + 
      6.97269627463954e-7*x9 + 2.82651697614227e-6*x10 + 8.48718939888591e-6*
      x11) =E= 0;

e36.. 9.59500945368779e-9*x9 - x47*(9.59500945368779e-9*x9 + 
      7.77990868613764e-8*x10 + 3.50450195595659e-7*x11) =E= 0;

e37.. 0.387523290700504*x10 - x48*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e38.. 0.171811326660768*x10 - x49*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e39.. 0.0443852293418879*x10 - x50*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e40.. 0.00736300486748561*x10 - x51*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e41.. 0.000813383733972072*x10 - x52*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e42.. 5.9835540825593e-5*x10 - x53*(9.74754643739431e-7*x7 + 
      6.14600651596926e-6*x8 + 2.21435823677529e-5*x9 + 5.9835540825593e-5*x10
       + 0.000134736270615932*x11) =E= 0;

e43.. 2.82651697614227e-6*x10 - x54*(9.67537128866831e-8*x8 + 
      6.97269627463954e-7*x9 + 2.82651697614227e-6*x10 + 8.48718939888591e-6*
      x11) =E= 0;

e44.. 7.77990868613764e-8*x10 - x55*(9.59500945368779e-9*x9 + 
      7.77990868613764e-8*x10 + 3.50450195595659e-7*x11) =E= 0;

e45.. 9.5066646909036e-10*x10 - x56*(9.5066646909036e-10*x10 + 
      8.56560860249376e-9*x11) =E= 0;

e46.. 0.387613794254864*x11 - x57*(0.0997999999999999*x2 + 0.179697889788979*x3
       + 0.242667639426474*x4 + 0.291288553877934*x5 + 0.32779432977535*x6 + 
      0.354116263650056*x7 + 0.371921288913631*x8 + 0.382645442102839*x9 + 
      0.387523290700504*x10 + 0.387613794254864*x11) =E= 0;

e47.. 0.193354379355624*x11 - x58*(0.00995105510551053*x3 + 0.0268791952569931*
      x4 + 0.0484024480360498*x5 + 0.0726327251441325*x6 + 0.098092330200907*x7
       + 0.123643056034308*x8 + 0.148426108294561*x9 + 0.171811326660768*x10 + 
      0.193354379355624*x11) =E= 0;

e48.. 0.0570927439209041*x11 - x59*(0.000991323353179483*x4 + 
      0.00357062831862428*x5 + 0.00803802158261731*x6 + 0.0144756766870547*x7
       + 0.0228103437449379*x8 + 0.0328625995023637*x9 + 0.0443852293418879*x10
       + 0.0570927439209041*x11) =E= 0;

e49.. 0.0110507714931385*x11 - x60*(9.86662735234163e-5*x5 + 
      0.000444274606971685*x6 + 0.00120027485863495*x7 + 0.00252209045740786*x8
       + 0.00454243811192095*x9 + 0.00736300486748561*x10 + 0.0110507714931385*
      x11) =E= 0;

e50.. 0.00146508394320501*x11 - x61*(9.81135212907916e-6*x6 + 
      5.30195849120382e-5*x7 + 0.000167130527644226*x8 + 0.000401394242315761*
      x9 + 0.000813383733972072*x10 + 0.00146508394320501*x11) =E= 0;

e51.. 0.000134736270615932*x11 - x62*(9.74754643739431e-7*x7 + 
      6.14600651596926e-6*x8 + 2.21435823677529e-5*x9 + 5.9835540825593e-5*x10
       + 0.000134736270615932*x11) =E= 0;

e52.. 8.48718939888591e-6*x11 - x63*(9.67537128866831e-8*x8 + 
      6.97269627463954e-7*x9 + 2.82651697614227e-6*x10 + 8.48718939888591e-6*
      x11) =E= 0;

e53.. 3.50450195595659e-7*x11 - x64*(9.59500945368779e-9*x9 + 
      7.77990868613764e-8*x10 + 3.50450195595659e-7*x11) =E= 0;

e54.. 8.56560860249376e-9*x11 - x65*(9.5066646909036e-10*x10 + 
      8.56560860249376e-9*x11) =E= 0;

e55.. 9.41056088409932e-11*x11 - 9.41056088409932e-11*x66*x11 =E= 0;

e56..    0.0998000000000008*x2 - 449*x12 - x67 + x77 =E= 0;

e57..    0.189648944894492*x3 - 449*x13 - 174*x14 - x68 + x78 =E= 0;

e58..    0.27053815803665*x4 - 449*x15 - 174*x16 - 52*x17 - x69 + x79 =E= 0;

e59..    0.343360296506133*x5 - 449*x18 - 174*x19 - 52*x20 - 10*x21 - x70 + x80
       =E= 0;

e60..    0.408919162461202*x6 - 449*x22 - 174*x23 - 52*x24 - 10*x25 - x26 - x71
       + x81 =E= 0;

e61..    0.467938539736214*x7 - 449*x27 - 174*x28 - 52*x29 - 10*x30 - x31 - x72
       + x82 =E= 0;

e62..    0.52107015243816*x8 - 449*x33 - 174*x34 - 52*x35 - 10*x36 - x37 - x73
       + x83 =E= 0;

e63..    0.568900832701015*x9 - 449*x40 - 174*x41 - 52*x42 - 10*x43 - x44 - x74
       + x84 =E= 0;

e64..    0.611958976112189*x10 - 449*x48 - 174*x49 - 52*x50 - 10*x51 - x52
       - x75 + x85 =E= 0;

e65..    0.650720355537673*x11 - 449*x57 - 174*x58 - 52*x59 - 10*x60 - x61
       - x76 + x86 =E= 0;

e66..    x2 + 2*x3 + 3*x4 + 4*x5 + 5*x6 + 6*x7 + 7*x8 + 8*x9 + 9*x10 + 10*x11
       =E= 10000;

e67..    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =G= 449;

e68..    x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =G= 174;

e69..    x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =G= 52;

e70..    x5 + x6 + x7 + x8 + x9 + x10 + x11 =G= 10;

e71..    x6 + x7 + x8 + x9 + x10 + x11 =G= 1;

e72..    x7 + x8 + x9 + x10 + x11 =G= 0;

e73..    x8 + x9 + x10 + x11 =G= 0;

e74..    x9 + x10 + x11 =G= 0;

e75..    x10 + x11 =G= 0;

e76..    x11 =G= 0;

e77..  - x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =E= 0;

e78..  - x67 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76 - x77 - x78
       - x79 - x80 - x81 - x82 - x83 - x84 - x85 - x86 + objvar =E= 0;

* set non-default bounds
x2.up = 10000;
x3.up = 10000;
x4.up = 10000;
x5.up = 10000;
x6.up = 10000;
x7.up = 10000;
x8.up = 10000;
x9.up = 10000;
x10.up = 10000;
x11.up = 10000;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1000;
x68.up = 1000;
x69.up = 1000;
x70.up = 1000;
x71.up = 1000;
x72.up = 1000;
x73.up = 1000;
x74.up = 1000;
x75.up = 1000;
x76.up = 1000;
x77.up = 1000;
x78.up = 1000;
x79.up = 1000;
x80.up = 1000;
x81.up = 1000;
x82.up = 1000;
x83.up = 1000;
x84.up = 1000;
x85.up = 1000;
x86.up = 1000;

* set non-default levels
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 = 0.01;
x13.l = 0.01;
x14.l = 0.01;
x15.l = 0.01;
x16.l = 0.01;
x17.l = 0.01;
x18.l = 0.01;
x19.l = 0.01;
x20.l = 0.01;
x21.l = 0.01;
x22.l = 0.01;
x23.l = 0.01;
x24.l = 0.01;
x25.l = 0.01;
x26.l = 0.01;
x27.l = 0.01;
x28.l = 0.01;
x29.l = 0.01;
x30.l = 0.01;
x31.l = 0.01;
x32.l = 0.01;
x33.l = 0.01;
x34.l = 0.01;
x35.l = 0.01;
x36.l = 0.01;
x37.l = 0.01;
x38.l = 0.01;
x39.l = 0.01;
x40.l = 0.01;
x41.l = 0.01;
x42.l = 0.01;
x43.l = 0.01;
x44.l = 0.01;
x45.l = 0.01;
x46.l = 0.01;
x47.l = 0.01;
x48.l = 0.01;
x49.l = 0.01;
x50.l = 0.01;
x51.l = 0.01;
x52.l = 0.01;
x53.l = 0.01;
x54.l = 0.01;
x55.l = 0.01;
x56.l = 0.01;
x57.l = 0.01;
x58.l = 0.01;
x59.l = 0.01;
x60.l = 0.01;
x61.l = 0.01;
x62.l = 0.01;
x63.l = 0.01;
x64.l = 0.01;
x65.l = 0.01;
x66.l = 0.01;

Model m / all /;

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

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

$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;


Last updated: 2024-04-02 Git hash: 1dd5fb9b
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