MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: feedtray2

Formats ams gms lp mod nl osil pip
Primal Bounds
0.00000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
-0.00000000 (ANTIGONE)
-0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
References Viswanathan, J and Grossmann, I E, A Combined Penalty Function and Outer Approximation Method for MINLP Optimization, Computers and Chemical Engineering, 14:7, 1990, 769-782.
Source MacMINLP model feedloc.mod
Application feed plate location
Added to library 01 May 2001
Problem type MBQCP
#Variables 88
#Binary Variables 36
#Integer Variables 0
#Nonlinear Variables 63
#Nonlinear Binary Variables 11
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 284
#Linear Constraints 137
#Quadratic Constraints 147
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1627
#Nonlinear Nonzeros in Jacobian 942
#Nonzeros in (Upper-Left) Hessian of Lagrangian 496
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 63
Maximal blocksize in Hessian of Lagrangian 63
Average blocksize in Hessian of Lagrangian 63.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1000
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
*        284        7      114      163        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         88       52       36        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1627      685      942        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,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
          ,objvar;

Positive Variables  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;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36;

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,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284;


e1.. x87*x61 + 1000*b1 =L= 1000.024;

e2.. x87*x63 + 1000*b2 =L= 1000.024;

e3.. x87*x65 + 1000*b3 =L= 1000.024;

e4.. x87*x67 + 1000*b4 =L= 1000.024;

e5.. x87*x69 + 1000*b5 =L= 1000.024;

e6.. x87*x71 + 1000*b6 =L= 1000.024;

e7.. x87*x73 + 1000*b7 =L= 1000.024;

e8.. x87*x75 + 1000*b8 =L= 1000.024;

e9.. x87*x77 + 1000*b9 =L= 1000.024;

e10.. x87*x79 + 1000*b10 =L= 1000.024;

e11.. x87*x81 + 1000*b11 =L= 1000.024;

e12.. x87*x83 + 1000*b12 =L= 1000.024;

e13.. (100*b14 + 100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x39 + x86*x63 - (100*b15 + 
      100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100
      *b23 + 100*b24 + x85)*x41 - x86*x61 - 80*b14 - 1000*b2 + 1000*b26
       =L= 1000;

e14.. (100*b14 + 100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x40 + x86*x64 - (100*b15 + 
      100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100
      *b23 + 100*b24 + x85)*x42 - x86*x62 - 20*b14 - 1000*b2 + 1000*b26
       =L= 1000;

e15.. (100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x41 + x86*x65 - (100*b16 + 100*b17 + 
      100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85
      )*x43 - x86*x63 - 80*b15 - 1000*b3 + 1000*b27 =L= 1000;

e16.. (100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x42 + x86*x66 - (100*b16 + 100*b17 + 
      100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85
      )*x44 - x86*x64 - 20*b15 - 1000*b3 + 1000*b27 =L= 1000;

e17.. (100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 
      100*b23 + 100*b24 + x85)*x43 + x86*x67 - (100*b17 + 100*b18 + 100*b19 + 
      100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x45 - x86*x65 - 80
      *b16 - 1000*b4 + 1000*b28 =L= 1000;

e18.. (100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 
      100*b23 + 100*b24 + x85)*x44 + x86*x68 - (100*b17 + 100*b18 + 100*b19 + 
      100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x46 - x86*x66 - 20
      *b16 - 1000*b4 + 1000*b28 =L= 1000;

e19.. (100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x45 + x86*x69 - (100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x47 - x86*x67 - 80*b17 - 1000*b5
       + 1000*b29 =L= 1000;

e20.. (100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x46 + x86*x70 - (100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x48 - x86*x68 - 20*b17 - 1000*b5
       + 1000*b29 =L= 1000;

e21.. (100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + 
      x85)*x47 + x86*x71 - (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x49 - x86*x69 - 80*b18 - 1000*b6 + 1000*b30 =L= 1000;

e22.. (100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + 
      x85)*x48 + x86*x72 - (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x50 - x86*x70 - 20*b18 - 1000*b6 + 1000*b30 =L= 1000;

e23.. (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x49 + 
      x86*x73 - (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x51 - 
      x86*x71 - 80*b19 - 1000*b7 + 1000*b31 =L= 1000;

e24.. (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x50 + 
      x86*x74 - (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x52 - 
      x86*x72 - 20*b19 - 1000*b7 + 1000*b31 =L= 1000;

e25.. (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x51 + x86*x75 - (
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x53 - x86*x73 - 80*b20
       - 1000*b8 + 1000*b32 =L= 1000;

e26.. (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x52 + x86*x76 - (
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x54 - x86*x74 - 20*b20
       - 1000*b8 + 1000*b32 =L= 1000;

e27.. (100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x53 + x86*x77 - (100*b22 + 
      100*b23 + 100*b24 + x85)*x55 - x86*x75 - 80*b21 - 1000*b9 + 1000*b33
       =L= 1000;

e28.. (100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x54 + x86*x78 - (100*b22 + 
      100*b23 + 100*b24 + x85)*x56 - x86*x76 - 20*b21 - 1000*b9 + 1000*b33
       =L= 1000;

e29.. (100*b22 + 100*b23 + 100*b24 + x85)*x55 + x86*x79 - (100*b23 + 100*b24 + 
      x85)*x57 - x86*x77 - 80*b22 - 1000*b10 + 1000*b34 =L= 1000;

e30.. (100*b22 + 100*b23 + 100*b24 + x85)*x56 + x86*x80 - (100*b23 + 100*b24 + 
      x85)*x58 - x86*x78 - 20*b22 - 1000*b10 + 1000*b34 =L= 1000;

e31.. (100*b23 + 100*b24 + x85)*x57 + x86*x81 - (100*b24 + x85)*x59 - x86*x79
       - 80*b23 - 1000*b11 + 1000*b35 =L= 1000;

e32.. (100*b23 + 100*b24 + x85)*x58 + x86*x82 - (100*b24 + x85)*x60 - x86*x80
       - 20*b23 - 1000*b11 + 1000*b35 =L= 1000;

e33.. x86*x61 - (100 + x85)*x39 + 80*x37 =E= 0;

e34.. x86*x62 - (100 + x85)*x40 + 80*x38 =E= 0;

e35.. (100*b14 + 100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x39 + x86*x63 - (100*b15 + 
      100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100
      *b23 + 100*b24 + x85)*x41 - x86*x61 - 80*b14 - 1000*b2 + 1000*b26
       =G= 1000;

e36.. (100*b14 + 100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x40 + x86*x64 - (100*b15 + 
      100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100
      *b23 + 100*b24 + x85)*x42 - x86*x62 - 20*b14 - 1000*b2 + 1000*b26
       =G= 1000;

e37.. (100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x41 + x86*x65 - (100*b16 + 100*b17 + 
      100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85
      )*x43 - x86*x63 - 80*b15 - 1000*b3 + 1000*b27 =G= 1000;

e38.. (100*b15 + 100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x42 + x86*x66 - (100*b16 + 100*b17 + 
      100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85
      )*x44 - x86*x64 - 20*b15 - 1000*b3 + 1000*b27 =G= 1000;

e39.. (100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 
      100*b23 + 100*b24 + x85)*x43 + x86*x67 - (100*b17 + 100*b18 + 100*b19 + 
      100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x45 - x86*x65 - 80
      *b16 - 1000*b4 + 1000*b28 =G= 1000;

e40.. (100*b16 + 100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 
      100*b23 + 100*b24 + x85)*x44 + x86*x68 - (100*b17 + 100*b18 + 100*b19 + 
      100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x46 - x86*x66 - 20
      *b16 - 1000*b4 + 1000*b28 =G= 1000;

e41.. (100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x45 + x86*x69 - (100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x47 - x86*x67 - 80*b17 - 1000*b5
       + 1000*b29 =G= 1000;

e42.. (100*b17 + 100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x46 + x86*x70 - (100*b18 + 100*b19 + 100*b20 + 100*b21 + 
      100*b22 + 100*b23 + 100*b24 + x85)*x48 - x86*x68 - 20*b17 - 1000*b5
       + 1000*b29 =G= 1000;

e43.. (100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + 
      x85)*x47 + x86*x71 - (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x49 - x86*x69 - 80*b18 - 1000*b6 + 1000*b30 =G= 1000;

e44.. (100*b18 + 100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + 
      x85)*x48 + x86*x72 - (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 
      100*b24 + x85)*x50 - x86*x70 - 20*b18 - 1000*b6 + 1000*b30 =G= 1000;

e45.. (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x49 + 
      x86*x73 - (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x51 - 
      x86*x71 - 80*b19 - 1000*b7 + 1000*b31 =G= 1000;

e46.. (100*b19 + 100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x50 + 
      x86*x74 - (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x52 - 
      x86*x72 - 20*b19 - 1000*b7 + 1000*b31 =G= 1000;

e47.. (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x51 + x86*x75 - (
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x53 - x86*x73 - 80*b20
       - 1000*b8 + 1000*b32 =G= 1000;

e48.. (100*b20 + 100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x52 + x86*x76 - (
      100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x54 - x86*x74 - 20*b20
       - 1000*b8 + 1000*b32 =G= 1000;

e49.. (100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x53 + x86*x77 - (100*b22 + 
      100*b23 + 100*b24 + x85)*x55 - x86*x75 - 80*b21 - 1000*b9 + 1000*b33
       =G= 1000;

e50.. (100*b21 + 100*b22 + 100*b23 + 100*b24 + x85)*x54 + x86*x78 - (100*b22 + 
      100*b23 + 100*b24 + x85)*x56 - x86*x76 - 20*b21 - 1000*b9 + 1000*b33
       =G= 1000;

e51.. (100*b22 + 100*b23 + 100*b24 + x85)*x55 + x86*x79 - (100*b23 + 100*b24 + 
      x85)*x57 - x86*x77 - 80*b22 - 1000*b10 + 1000*b34 =G= 1000;

e52.. (100*b22 + 100*b23 + 100*b24 + x85)*x56 + x86*x80 - (100*b23 + 100*b24 + 
      x85)*x58 - x86*x78 - 20*b22 - 1000*b10 + 1000*b34 =G= 1000;

e53.. (100*b23 + 100*b24 + x85)*x57 + x86*x81 - (100*b24 + x85)*x59 - x86*x79
       - 80*b23 - 1000*b11 + 1000*b35 =G= 1000;

e54.. (100*b23 + 100*b24 + x85)*x58 + x86*x82 - (100*b24 + x85)*x60 - x86*x80
       - 20*b23 - 1000*b11 + 1000*b35 =G= 1000;

e55.. x85*x39 + x87*x63 - x86*x61 + 1000*b2 =L= 1000;

e56.. x85*x40 + x87*x64 - x86*x62 + 1000*b2 =L= 1000;

e57.. x85*x41 + x87*x65 - x86*x63 + 1000*b3 =L= 1000;

e58.. x85*x42 + x87*x66 - x86*x64 + 1000*b3 =L= 1000;

e59.. x85*x43 + x87*x67 - x86*x65 + 1000*b4 =L= 1000;

e60.. x85*x44 + x87*x68 - x86*x66 + 1000*b4 =L= 1000;

e61.. x85*x45 + x87*x69 - x86*x67 + 1000*b5 =L= 1000;

e62.. x85*x46 + x87*x70 - x86*x68 + 1000*b5 =L= 1000;

e63.. x85*x47 + x87*x71 - x86*x69 + 1000*b6 =L= 1000;

e64.. x85*x48 + x87*x72 - x86*x70 + 1000*b6 =L= 1000;

e65.. x85*x49 + x87*x73 - x86*x71 + 1000*b7 =L= 1000;

e66.. x85*x50 + x87*x74 - x86*x72 + 1000*b7 =L= 1000;

e67.. x85*x51 + x87*x75 - x86*x73 + 1000*b8 =L= 1000;

e68.. x85*x52 + x87*x76 - x86*x74 + 1000*b8 =L= 1000;

e69.. x85*x53 + x87*x77 - x86*x75 + 1000*b9 =L= 1000;

e70.. x85*x54 + x87*x78 - x86*x76 + 1000*b9 =L= 1000;

e71.. x85*x55 + x87*x79 - x86*x77 + 1000*b10 =L= 1000;

e72.. x85*x56 + x87*x80 - x86*x78 + 1000*b10 =L= 1000;

e73.. x85*x57 + x87*x81 - x86*x79 + 1000*b11 =L= 1000;

e74.. x85*x58 + x87*x82 - x86*x80 + 1000*b11 =L= 1000;

e75.. x85*x59 + x87*x83 - x86*x81 + 1000*b12 =L= 1000;

e76.. x85*x60 + x87*x84 - x86*x82 + 1000*b12 =L= 1000;

e77.. x85*x39 + x87*x63 - x86*x61 - 1000*b2 =G= -1000;

e78.. x85*x40 + x87*x64 - x86*x62 - 1000*b2 =G= -1000;

e79.. x85*x41 + x87*x65 - x86*x63 - 1000*b3 =G= -1000;

e80.. x85*x42 + x87*x66 - x86*x64 - 1000*b3 =G= -1000;

e81.. x85*x43 + x87*x67 - x86*x65 - 1000*b4 =G= -1000;

e82.. x85*x44 + x87*x68 - x86*x66 - 1000*b4 =G= -1000;

e83.. x85*x45 + x87*x69 - x86*x67 - 1000*b5 =G= -1000;

e84.. x85*x46 + x87*x70 - x86*x68 - 1000*b5 =G= -1000;

e85.. x85*x47 + x87*x71 - x86*x69 - 1000*b6 =G= -1000;

e86.. x85*x48 + x87*x72 - x86*x70 - 1000*b6 =G= -1000;

e87.. x85*x49 + x87*x73 - x86*x71 - 1000*b7 =G= -1000;

e88.. x85*x50 + x87*x74 - x86*x72 - 1000*b7 =G= -1000;

e89.. x85*x51 + x87*x75 - x86*x73 - 1000*b8 =G= -1000;

e90.. x85*x52 + x87*x76 - x86*x74 - 1000*b8 =G= -1000;

e91.. x85*x53 + x87*x77 - x86*x75 - 1000*b9 =G= -1000;

e92.. x85*x54 + x87*x78 - x86*x76 - 1000*b9 =G= -1000;

e93.. x85*x55 + x87*x79 - x86*x77 - 1000*b10 =G= -1000;

e94.. x85*x56 + x87*x80 - x86*x78 - 1000*b10 =G= -1000;

e95.. x85*x57 + x87*x81 - x86*x79 - 1000*b11 =G= -1000;

e96.. x85*x58 + x87*x82 - x86*x80 - 1000*b11 =G= -1000;

e97.. x85*x59 + x87*x83 - x86*x81 - 1000*b12 =G= -1000;

e98.. x85*x60 + x87*x84 - x86*x82 - 1000*b12 =G= -1000;

e99.. -objvar*x87 + x85 =E= 0;

e100..    b13 + b14 + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24
        =E= 1;

e101..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 =E= 1;

e102..    b25 + b26 + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36
        =E= 12;

e103..    b1 + 2*b2 + 3*b3 + 4*b4 + 5*b5 + 6*b6 + 7*b7 + 8*b8 + 9*b9 + 10*b10
        + 11*b11 + 12*b12 =E= 12;

e104..  - b1 - 2*b2 - 3*b3 - 4*b4 - 5*b5 - 6*b6 - 7*b7 - 8*b8 - 9*b9 - 10*b10
        - 11*b11 - 12*b12 + b13 + 2*b14 + 3*b15 + 4*b16 + 5*b17 + 6*b18 + 7*b19
        + 8*b20 + 9*b21 + 10*b22 + 11*b23 + 12*b24 =L= 0;

e105..    b1 - b25 =L= 0;

e106..    b2 - b26 =L= 0;

e107..    b3 - b27 =L= 0;

e108..    b4 - b28 =L= 0;

e109..    b5 - b29 =L= 0;

e110..    b6 - b30 =L= 0;

e111..    b7 - b31 =L= 0;

e112..    b8 - b32 =L= 0;

e113..    b9 - b33 =L= 0;

e114..    b10 - b34 =L= 0;

e115..    b11 - b35 =L= 0;

e116..    b12 - b36 =L= 0;

e117..    b13 - b25 =L= 0;

e118..    b14 - b26 =L= 0;

e119..    b15 - b27 =L= 0;

e120..    b16 - b28 =L= 0;

e121..    b17 - b29 =L= 0;

e122..    b18 - b30 =L= 0;

e123..    b19 - b31 =L= 0;

e124..    b20 - b32 =L= 0;

e125..    b21 - b33 =L= 0;

e126..    b22 - b34 =L= 0;

e127..    b23 - b35 =L= 0;

e128..    b24 - b36 =L= 0;

e129..  - b1 - b2 - b3 - b4 - b5 - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b25
        =L= 0;

e130..  - b2 - b3 - b4 - b5 - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b26 =L= 0;

e131..  - b3 - b4 - b5 - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b27 =L= 0;

e132..  - b4 - b5 - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b28 =L= 0;

e133..  - b5 - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b29 =L= 0;

e134..  - b6 - b7 - b8 - b9 - b10 - b11 - b12 + b30 =L= 0;

e135..  - b7 - b8 - b9 - b10 - b11 - b12 + b31 =L= 0;

e136..  - b8 - b9 - b10 - b11 - b12 + b32 =L= 0;

e137..  - b9 - b10 - b11 - b12 + b33 =L= 0;

e138..  - b10 - b11 - b12 + b34 =L= 0;

e139..  - b11 - b12 + b35 =L= 0;

e140..  - b12 + b36 =L= 0;

e141..  - b25 - x61 - x62 =L= 0;

e142..  - b26 - x63 - x64 =L= 0;

e143..  - b27 - x65 - x66 =L= 0;

e144..  - b28 - x67 - x68 =L= 0;

e145..  - b29 - x69 - x70 =L= 0;

e146..  - b30 - x71 - x72 =L= 0;

e147..  - b31 - x73 - x74 =L= 0;

e148..  - b32 - x75 - x76 =L= 0;

e149..  - b33 - x77 - x78 =L= 0;

e150..  - b34 - x79 - x80 =L= 0;

e151..  - b35 - x81 - x82 =L= 0;

e152..  - b36 - x83 - x84 =L= 0;

e153..    b25 - x61 - x62 =L= 0;

e154..    b26 - x63 - x64 =L= 0;

e155..    b27 - x65 - x66 =L= 0;

e156..    b28 - x67 - x68 =L= 0;

e157..    b29 - x69 - x70 =L= 0;

e158..    b30 - x71 - x72 =L= 0;

e159..    b31 - x73 - x74 =L= 0;

e160..    b32 - x75 - x76 =L= 0;

e161..    b33 - x77 - x78 =L= 0;

e162..    b34 - x79 - x80 =L= 0;

e163..    b35 - x81 - x82 =L= 0;

e164..    b36 - x83 - x84 =L= 0;

e165..  - b25 - x37 - x38 =L= 0;

e166..  - b26 - x39 - x40 =L= 0;

e167..  - b27 - x41 - x42 =L= 0;

e168..  - b28 - x43 - x44 =L= 0;

e169..  - b29 - x45 - x46 =L= 0;

e170..  - b30 - x47 - x48 =L= 0;

e171..  - b31 - x49 - x50 =L= 0;

e172..  - b32 - x51 - x52 =L= 0;

e173..  - b33 - x53 - x54 =L= 0;

e174..  - b34 - x55 - x56 =L= 0;

e175..  - b35 - x57 - x58 =L= 0;

e176..  - b36 - x59 - x60 =L= 0;

e177..    b25 - x37 - x38 =L= 0;

e178..    b26 - x39 - x40 =L= 0;

e179..    b27 - x41 - x42 =L= 0;

e180..    b28 - x43 - x44 =L= 0;

e181..    b29 - x45 - x46 =L= 0;

e182..    b30 - x47 - x48 =L= 0;

e183..    b31 - x49 - x50 =L= 0;

e184..    b32 - x51 - x52 =L= 0;

e185..    b33 - x53 - x54 =L= 0;

e186..    b34 - x55 - x56 =L= 0;

e187..    b35 - x57 - x58 =L= 0;

e188..    b36 - x59 - x60 =L= 0;

e189..  - b25 - x61 - x62 =G= -2;

e190..  - b26 - x63 - x64 =G= -2;

e191..  - b27 - x65 - x66 =G= -2;

e192..  - b28 - x67 - x68 =G= -2;

e193..  - b29 - x69 - x70 =G= -2;

e194..  - b30 - x71 - x72 =G= -2;

e195..  - b31 - x73 - x74 =G= -2;

e196..  - b32 - x75 - x76 =G= -2;

e197..  - b33 - x77 - x78 =G= -2;

e198..  - b34 - x79 - x80 =G= -2;

e199..  - b35 - x81 - x82 =G= -2;

e200..  - b36 - x83 - x84 =G= -2;

e201..    b25 - x61 - x62 =G= -2;

e202..    b26 - x63 - x64 =G= -2;

e203..    b27 - x65 - x66 =G= -2;

e204..    b28 - x67 - x68 =G= -2;

e205..    b29 - x69 - x70 =G= -2;

e206..    b30 - x71 - x72 =G= -2;

e207..    b31 - x73 - x74 =G= -2;

e208..    b32 - x75 - x76 =G= -2;

e209..    b33 - x77 - x78 =G= -2;

e210..    b34 - x79 - x80 =G= -2;

e211..    b35 - x81 - x82 =G= -2;

e212..    b36 - x83 - x84 =G= -2;

e213..  - b25 - x37 - x38 =G= -2;

e214..  - b26 - x39 - x40 =G= -2;

e215..  - b27 - x41 - x42 =G= -2;

e216..  - b28 - x43 - x44 =G= -2;

e217..  - b29 - x45 - x46 =G= -2;

e218..  - b30 - x47 - x48 =G= -2;

e219..  - b31 - x49 - x50 =G= -2;

e220..  - b32 - x51 - x52 =G= -2;

e221..  - b33 - x53 - x54 =G= -2;

e222..  - b34 - x55 - x56 =G= -2;

e223..  - b35 - x57 - x58 =G= -2;

e224..  - b36 - x59 - x60 =G= -2;

e225..    b25 - x37 - x38 =G= -2;

e226..    b26 - x39 - x40 =G= -2;

e227..    b27 - x41 - x42 =G= -2;

e228..    b28 - x43 - x44 =G= -2;

e229..    b29 - x45 - x46 =G= -2;

e230..    b30 - x47 - x48 =G= -2;

e231..    b31 - x49 - x50 =G= -2;

e232..    b32 - x51 - x52 =G= -2;

e233..    b33 - x53 - x54 =G= -2;

e234..    b34 - x55 - x56 =G= -2;

e235..    b35 - x57 - x58 =G= -2;

e236..    b36 - x59 - x60 =G= -2;

e237.. (x37 + 5.13435*x38)*x61 - x37 + 1000*b25 =L= 1000;

e238.. (x37 + 5.13435*x38)*x62 - 5.13435*x38 + 1000*b25 =L= 1000;

e239.. (x39 + 5.13435*x40)*x63 - x39 + 1000*b26 =L= 1000;

e240.. (x39 + 5.13435*x40)*x64 - 5.13435*x40 + 1000*b26 =L= 1000;

e241.. (x41 + 5.13435*x42)*x65 - x41 + 1000*b27 =L= 1000;

e242.. (x41 + 5.13435*x42)*x66 - 5.13435*x42 + 1000*b27 =L= 1000;

e243.. (x43 + 5.13435*x44)*x67 - x43 + 1000*b28 =L= 1000;

e244.. (x43 + 5.13435*x44)*x68 - 5.13435*x44 + 1000*b28 =L= 1000;

e245.. (x45 + 5.13435*x46)*x69 - x45 + 1000*b29 =L= 1000;

e246.. (x45 + 5.13435*x46)*x70 - 5.13435*x46 + 1000*b29 =L= 1000;

e247.. (x47 + 5.13435*x48)*x71 - x47 + 1000*b30 =L= 1000;

e248.. (x47 + 5.13435*x48)*x72 - 5.13435*x48 + 1000*b30 =L= 1000;

e249.. (x49 + 5.13435*x50)*x73 - x49 + 1000*b31 =L= 1000;

e250.. (x49 + 5.13435*x50)*x74 - 5.13435*x50 + 1000*b31 =L= 1000;

e251.. (x51 + 5.13435*x52)*x75 - x51 + 1000*b32 =L= 1000;

e252.. (x51 + 5.13435*x52)*x76 - 5.13435*x52 + 1000*b32 =L= 1000;

e253.. (x53 + 5.13435*x54)*x77 - x53 + 1000*b33 =L= 1000;

e254.. (x53 + 5.13435*x54)*x78 - 5.13435*x54 + 1000*b33 =L= 1000;

e255.. (x55 + 5.13435*x56)*x79 - x55 + 1000*b34 =L= 1000;

e256.. (x55 + 5.13435*x56)*x80 - 5.13435*x56 + 1000*b34 =L= 1000;

e257.. (x57 + 5.13435*x58)*x81 - x57 + 1000*b35 =L= 1000;

e258.. (x57 + 5.13435*x58)*x82 - 5.13435*x58 + 1000*b35 =L= 1000;

e259.. (x59 + 5.13435*x60)*x83 - x59 + 1000*b36 =L= 1000;

e260.. (x59 + 5.13435*x60)*x84 - 5.13435*x60 + 1000*b36 =L= 1000;

e261.. (x37 + 5.13435*x38)*x61 - x37 - 1000*b25 =G= -1000;

e262.. (x37 + 5.13435*x38)*x62 - 5.13435*x38 - 1000*b25 =G= -1000;

e263.. (x39 + 5.13435*x40)*x63 - x39 - 1000*b26 =G= -1000;

e264.. (x39 + 5.13435*x40)*x64 - 5.13435*x40 - 1000*b26 =G= -1000;

e265.. (x41 + 5.13435*x42)*x65 - x41 - 1000*b27 =G= -1000;

e266.. (x41 + 5.13435*x42)*x66 - 5.13435*x42 - 1000*b27 =G= -1000;

e267.. (x43 + 5.13435*x44)*x67 - x43 - 1000*b28 =G= -1000;

e268.. (x43 + 5.13435*x44)*x68 - 5.13435*x44 - 1000*b28 =G= -1000;

e269.. (x45 + 5.13435*x46)*x69 - x45 - 1000*b29 =G= -1000;

e270.. (x45 + 5.13435*x46)*x70 - 5.13435*x46 - 1000*b29 =G= -1000;

e271.. (x47 + 5.13435*x48)*x71 - x47 - 1000*b30 =G= -1000;

e272.. (x47 + 5.13435*x48)*x72 - 5.13435*x48 - 1000*b30 =G= -1000;

e273.. (x49 + 5.13435*x50)*x73 - x49 - 1000*b31 =G= -1000;

e274.. (x49 + 5.13435*x50)*x74 - 5.13435*x50 - 1000*b31 =G= -1000;

e275.. (x51 + 5.13435*x52)*x75 - x51 - 1000*b32 =G= -1000;

e276.. (x51 + 5.13435*x52)*x76 - 5.13435*x52 - 1000*b32 =G= -1000;

e277.. (x53 + 5.13435*x54)*x77 - x53 - 1000*b33 =G= -1000;

e278.. (x53 + 5.13435*x54)*x78 - 5.13435*x54 - 1000*b33 =G= -1000;

e279.. (x55 + 5.13435*x56)*x79 - x55 - 1000*b34 =G= -1000;

e280.. (x55 + 5.13435*x56)*x80 - 5.13435*x56 - 1000*b34 =G= -1000;

e281.. (x57 + 5.13435*x58)*x81 - x57 - 1000*b35 =G= -1000;

e282.. (x57 + 5.13435*x58)*x82 - 5.13435*x58 - 1000*b35 =G= -1000;

e283.. (x59 + 5.13435*x60)*x83 - x59 - 1000*b36 =G= -1000;

e284.. (x59 + 5.13435*x60)*x84 - 5.13435*x60 - 1000*b36 =G= -1000;

* set non-default bounds
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 = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x87.up = 100;
objvar.lo = 0; objvar.up = 5;

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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