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Instance: blend029

Formats ams gms lp mod nl osil pip
Primal Bounds
13.35940000 p1 ( gdx sol )
(infeas: 1e-16)
Dual Bounds
13.35940000 (ANTIGONE)
13.35940000 (BARON)
21.41190000 (COUENNE)
13.35940000 (LINDO)
13.35940000 (SCIP)
References Trespalacios, Francisco, Kolodziej, Scott P, Furman, Kevin C, and Sawaya, Nicolas W, Multiperiod Blend Scheduling Problem, 2013.
Source MPBP-029.gms from minlp.org model 168
Application Multiperiod Blend Scheduling
Added to library 25 Sep 2013
Problem type MBQCP
#Variables 102
#Binary Variables 36
#Integer Variables 0
#Nonlinear Variables 26
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 72
#Nonlinear Nonzeros in Objective 0
#Constraints 213
#Linear Constraints 201
#Quadratic Constraints 12
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 470
#Nonlinear Nonzeros in Jacobian 64
#Nonzeros in (Upper-Left) Hessian of Lagrangian 56
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 6
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 6
Average blocksize in Hessian of Lagrangian 4.333333
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1.55
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
*        214       31       78      105        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        103       67       36        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        543      479       64        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103;

Positive Variables  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;

Binary Variables  b68,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82
          ,b83,b84,b85,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99
          ,b100,b101,b102,b103;

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;


e1..    objvar + 1.74*x2 + 1.74*x3 + 1.74*x4 + 1.45*x5 + 1.45*x6 + 1.45*x7
      - 7.38*x8 - 7.38*x9 - 7.38*x10 - 5.6*x11 - 5.6*x12 - 5.6*x13 + 1.7*x14
      + 1.7*x15 + 1.7*x16 + 1.18*x17 + 1.18*x18 + 1.18*x19 - 7.21*x20
      - 7.21*x21 - 7.21*x22 - 5.45*x23 - 5.45*x24 - 5.45*x25 + 0.3*x26
      + 0.3*x27 + 0.3*x28 - 7.71*x29 - 7.71*x30 - 7.71*x31 - 6.28*x32
      - 6.28*x33 - 6.28*x34 - 7.74*x35 - 7.74*x36 - 7.74*x37 + 0.84*b68
      + 0.84*b69 + 0.84*b70 + 0.05*b71 + 0.05*b72 + 0.05*b73 + 0.94*b74
      + 0.94*b75 + 0.94*b76 + 0.81*b77 + 0.81*b78 + 0.81*b79 + 0.79*b80
      + 0.79*b81 + 0.79*b82 + 0.05*b83 + 0.05*b84 + 0.05*b85 + 0.65*b86
      + 0.65*b87 + 0.65*b88 + 0.97*b89 + 0.97*b90 + 0.97*b91 + 0.57*b92
      + 0.57*b93 + 0.57*b94 + 0.26*b95 + 0.26*b96 + 0.26*b97 + 0.45*b98
      + 0.45*b99 + 0.45*b100 + 0.1*b101 + 0.1*b102 + 0.1*b103 =E= 0;

e2..    x2 + x5 + x8 + x11 + x50 =E= 1;

e3..    x14 + x17 + x20 + x23 + x53 =E= 1.1;

e4..  - x2 - x14 + x26 + x29 + x32 + x56 =E= 0.2;

e5..  - x5 - x17 - x26 + x35 + x59 =E= 0.1;

e6..  - x8 - x20 - x29 - x35 + x62 =E= 1.55;

e7..  - x11 - x23 - x32 + x65 =E= 0.49;

e8.. x38*x56 - 0.6*x2 - 0.2*x14 + 0.2*x26 + 0.2*x29 + 0.2*x32 =E= 0.04;

e9.. x41*x59 - 0.6*x5 - 0.2*x17 - 0.2*x26 + 0.7*x35 =E= 0.07;

e10.. x44*x56 - 0.4*x2 - 0.4*x14 + 0.5*x26 + 0.5*x29 + 0.5*x32 =E= 0.1;

e11.. x47*x59 - 0.4*x5 - 0.4*x17 - 0.5*x26 + 0.6*x35 =E= 0.06;

e12..    x3 + x6 + x9 + x12 - x50 + x51 =E= 1;

e13..    x4 + x7 + x10 + x13 - x51 + x52 =E= 0;

e14..    x15 + x18 + x21 + x24 - x53 + x54 =E= 0.1;

e15..    x16 + x19 + x22 + x25 - x54 + x55 =E= 0.9;

e16..  - x3 - x15 + x27 + x30 + x33 - x56 + x57 =E= 0;

e17..  - x4 - x16 + x28 + x31 + x34 - x57 + x58 =E= 0;

e18..  - x6 - x18 - x27 + x36 - x59 + x60 =E= 0;

e19..  - x7 - x19 - x28 + x37 - x60 + x61 =E= 0;

e20..  - x9 - x21 - x30 - x36 - x62 + x63 =E= -0.81;

e21..  - x10 - x22 - x31 - x37 - x63 + x64 =E= -0.88;

e22..  - x12 - x24 - x33 - x65 + x66 =E= -0.14;

e23..  - x13 - x25 - x34 - x66 + x67 =E= -0.1;

e24.. x39*x57 - (x38*x56 - (x38*x27 + x38*x30 + x38*x33)) - 0.6*x3 - 0.2*x15
       =E= 0;

e25.. x40*x58 - (x39*x57 - (x39*x28 + x39*x31 + x39*x34)) - 0.6*x4 - 0.2*x16
       =E= 0;

e26.. x42*x60 - (x41*x59 + x38*x27 - x41*x36) - 0.6*x6 - 0.2*x18 =E= 0;

e27.. x43*x61 - (x42*x60 + x39*x28 - x42*x37) - 0.6*x7 - 0.2*x19 =E= 0;

e28.. x45*x57 - (x44*x56 - (x44*x27 + x44*x30 + x44*x33)) - 0.4*x3 - 0.4*x15
       =E= 0;

e29.. x46*x58 - (x45*x57 - (x45*x28 + x45*x31 + x45*x34)) - 0.4*x4 - 0.4*x16
       =E= 0;

e30.. x48*x60 - (x47*x59 + x44*x27 - x47*x36) - 0.4*x6 - 0.4*x18 =E= 0;

e31.. x49*x61 - (x48*x60 + x45*x28 - x48*x37) - 0.4*x7 - 0.4*x19 =E= 0;

e32..    x2 - b68 =L= 0;

e33..    x3 - b69 =L= 0;

e34..    x4 - b70 =L= 0;

e35..    x5 - b71 =L= 0;

e36..    x6 - b72 =L= 0;

e37..    x7 - b73 =L= 0;

e38..    x8 - b74 =L= 0;

e39..    x9 - b75 =L= 0;

e40..    x10 - b76 =L= 0;

e41..    x11 - b77 =L= 0;

e42..    x12 - b78 =L= 0;

e43..    x13 - b79 =L= 0;

e44..    x14 - b80 =L= 0;

e45..    x15 - b81 =L= 0;

e46..    x16 - b82 =L= 0;

e47..    x17 - b83 =L= 0;

e48..    x18 - b84 =L= 0;

e49..    x19 - b85 =L= 0;

e50..    x20 - b86 =L= 0;

e51..    x21 - b87 =L= 0;

e52..    x22 - b88 =L= 0;

e53..    x23 - b89 =L= 0;

e54..    x24 - b90 =L= 0;

e55..    x25 - b91 =L= 0;

e56..    x26 - b92 =L= 0;

e57..    x27 - b93 =L= 0;

e58..    x28 - b94 =L= 0;

e59..    x29 - b95 =L= 0;

e60..    x30 - b96 =L= 0;

e61..    x31 - b97 =L= 0;

e62..    x32 - b98 =L= 0;

e63..    x33 - b99 =L= 0;

e64..    x34 - b100 =L= 0;

e65..    x35 - b101 =L= 0;

e66..    x36 - b102 =L= 0;

e67..    x37 - b103 =L= 0;

e68..    x2 =G= 0;

e69..    x3 =G= 0;

e70..    x4 =G= 0;

e71..    x5 =G= 0;

e72..    x6 =G= 0;

e73..    x7 =G= 0;

e74..    x8 =G= 0;

e75..    x9 =G= 0;

e76..    x10 =G= 0;

e77..    x11 =G= 0;

e78..    x12 =G= 0;

e79..    x13 =G= 0;

e80..    x14 =G= 0;

e81..    x15 =G= 0;

e82..    x16 =G= 0;

e83..    x17 =G= 0;

e84..    x18 =G= 0;

e85..    x19 =G= 0;

e86..    x20 =G= 0;

e87..    x21 =G= 0;

e88..    x22 =G= 0;

e89..    x23 =G= 0;

e90..    x24 =G= 0;

e91..    x25 =G= 0;

e92..    x26 =G= 0;

e93..    x27 =G= 0;

e94..    x28 =G= 0;

e95..    x29 =G= 0;

e96..    x30 =G= 0;

e97..    x31 =G= 0;

e98..    x32 =G= 0;

e99..    x33 =G= 0;

e100..    x34 =G= 0;

e101..    x35 =G= 0;

e102..    x36 =G= 0;

e103..    x37 =G= 0;

e104..    b74 =L= 1.5;

e105..    b75 =L= 1.5;

e106..    b76 =L= 1.5;

e107..    b77 =L= 0.6;

e108..    b78 =L= 0.6;

e109..    b79 =L= 0.6;

e110..    b86 =L= 1.1;

e111..    b87 =L= 1.1;

e112..    b88 =L= 1.1;

e113..    b89 =L= 0.2;

e114..    b90 =L= 0.2;

e115..    b91 =L= 0.2;

e116..    b74 =L= 1;

e117..    b75 =L= 1;

e118..    b76 =L= 1;

e119..    b77 =L= 0.8;

e120..    b78 =L= 0.8;

e121..    b79 =L= 0.8;

e122..    b86 =L= 1;

e123..    b87 =L= 1;

e124..    b88 =L= 1;

e125..    b89 =L= 0.8;

e126..    b90 =L= 0.8;

e127..    b91 =L= 0.8;

e128..  - b74 =G= -1.3;

e129..  - b75 =G= -1.3;

e130..  - b76 =G= -1.3;

e131..  - b77 =G= -1.4;

e132..  - b78 =G= -1.4;

e133..  - b79 =G= -1.4;

e134..  - b86 =G= -1.7;

e135..  - b87 =G= -1.7;

e136..  - b88 =G= -1.7;

e137..  - b89 =G= -1.8;

e138..  - b90 =G= -1.8;

e139..  - b91 =G= -1.8;

e140..  - b74 =G= -1;

e141..  - b75 =G= -1;

e142..  - b76 =G= -1;

e143..  - b77 =G= -1.4;

e144..  - b78 =G= -1.4;

e145..  - b79 =G= -1.4;

e146..  - b86 =G= -1;

e147..  - b87 =G= -1;

e148..  - b88 =G= -1;

e149..  - b89 =G= -1.4;

e150..  - b90 =G= -1.4;

e151..  - b91 =G= -1.4;

e152..  - x38 + b96 =L= 0.9;

e153..  - x39 + b97 =L= 0.9;

e154..  - x38 + b99 =L= 0;

e155..  - x39 + b100 =L= 0;

e156..  - x41 + b102 =L= 0.9;

e157..  - x42 + b103 =L= 0.9;

e158..  - x44 + b96 =L= 0.6;

e159..  - x45 + b97 =L= 0.6;

e160..  - x44 + b99 =L= 0.4;

e161..  - x45 + b100 =L= 0.4;

e162..  - x47 + b102 =L= 0.6;

e163..  - x48 + b103 =L= 0.6;

e164..  - x38 - b96 =G= -1.9;

e165..  - x39 - b97 =G= -1.9;

e166..  - x38 - b99 =G= -2;

e167..  - x39 - b100 =G= -2;

e168..  - x41 - b102 =G= -1.9;

e169..  - x42 - b103 =G= -1.9;

e170..  - x44 - b96 =G= -1.4;

e171..  - x45 - b97 =G= -1.4;

e172..  - x44 - b99 =G= -1.8;

e173..  - x45 - b100 =G= -1.8;

e174..  - x47 - b102 =G= -1.4;

e175..  - x48 - b103 =G= -1.4;

e176..    b95 =L= 1.1;

e177..    b98 =L= 0.2;

e178..    b101 =L= 1.6;

e179..    b95 =L= 1.1;

e180..    b98 =L= 0.9;

e181..    b101 =L= 1.2;

e182..  - b95 =G= -1.7;

e183..  - b98 =G= -1.8;

e184..  - b101 =G= -1.2;

e185..  - b95 =G= -0.9;

e186..  - b98 =G= -1.3;

e187..  - b101 =G= -0.8;

e188..    b68 + b92 =L= 1;

e189..    b69 + b93 =L= 1;

e190..    b70 + b94 =L= 1;

e191..    b68 + b95 =L= 1;

e192..    b69 + b96 =L= 1;

e193..    b70 + b97 =L= 1;

e194..    b68 + b98 =L= 1;

e195..    b69 + b99 =L= 1;

e196..    b70 + b100 =L= 1;

e197..    b80 + b92 =L= 1;

e198..    b81 + b93 =L= 1;

e199..    b82 + b94 =L= 1;

e200..    b80 + b95 =L= 1;

e201..    b81 + b96 =L= 1;

e202..    b82 + b97 =L= 1;

e203..    b80 + b98 =L= 1;

e204..    b81 + b99 =L= 1;

e205..    b82 + b100 =L= 1;

e206..    b71 + b101 =L= 1;

e207..    b72 + b102 =L= 1;

e208..    b73 + b103 =L= 1;

e209..    b83 + b101 =L= 1;

e210..    b84 + b102 =L= 1;

e211..    b85 + b103 =L= 1;

e212..    b92 + b101 =L= 1;

e213..    b93 + b102 =L= 1;

e214..    b94 + b103 =L= 1;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
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 = 2;
x51.up = 2;
x52.up = 2;
x53.up = 2;
x54.up = 2;
x55.up = 2;
x56.up = 2;
x57.up = 2;
x58.up = 2;
x59.up = 2;
x60.up = 2;
x61.up = 2;
x62.up = 2;
x63.up = 2;
x64.up = 2;
x65.up = 2;
x66.up = 2;
x67.up = 2;

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% maximizing objvar;


Last updated: 2018-08-07 Git hash: fccdb193
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