MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: elf

Formats ams gms lp mod nl osil pip
Primal Bounds
0.19166667 p1 ( gdx sol )
(infeas: 4e-15)
Dual Bounds
0.19164024 (ANTIGONE)
0.19166667 (BARON)
0.19166667 (COUENNE)
0.19166667 (LINDO)
0.19166667 (SCIP)
Source Aldo Vecchietti's Model Collection
Application pseudo components properties
Added to library 01 May 2001
Problem type MBQCP
#Variables 54
#Binary Variables 24
#Integer Variables 0
#Nonlinear Variables 6
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 24
#Nonlinear Nonzeros in Objective 0
#Constraints 38
#Linear Constraints 11
#Quadratic Constraints 27
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 153
#Nonlinear Nonzeros in Jacobian 30
#Nonzeros in (Upper-Left) Hessian of Lagrangian 9
#Nonzeros in Diagonal of Hessian of Lagrangian 3
#Blocks in Hessian of Lagrangian 3
Minimal blocksize in Hessian of Lagrangian 2
Maximal blocksize in Hessian of Lagrangian 2
Average blocksize in Hessian of Lagrangian 2.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 23.25
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
*         39        7       32        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         55       31       24        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        178      148       30        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,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,objvar;

Positive Variables  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;

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;

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;


e1.. -sqr(8 - x49) - 100*b1 + x25 =G= -100;

e2.. -sqr(8 - x50) - 100*b2 + x26 =G= -100;

e3.. -sqr(8 - x51) - 100*b3 + x27 =G= -100;

e4.. -sqr(8.5 - x49) - 100*b4 + x28 =G= -100;

e5.. -sqr(8.5 - x50) - 100*b5 + x29 =G= -100;

e6.. -sqr(8.5 - x51) - 100*b6 + x30 =G= -100;

e7.. -sqr(8.3 - x49) - 100*b7 + x31 =G= -100;

e8.. -sqr(8.3 - x50) - 100*b8 + x32 =G= -100;

e9.. -sqr(8.3 - x51) - 100*b9 + x33 =G= -100;

e10.. -sqr(8.7 - x49) - 100*b10 + x34 =G= -100;

e11.. -sqr(8.7 - x50) - 100*b11 + x35 =G= -100;

e12.. -sqr(8.7 - x51) - 100*b12 + x36 =G= -100;

e13.. -sqr(8.6 - x49) - 100*b13 + x37 =G= -100;

e14.. -sqr(8.6 - x50) - 100*b14 + x38 =G= -100;

e15.. -sqr(8.6 - x51) - 100*b15 + x39 =G= -100;

e16.. -sqr(9 - x49) - 100*b16 + x40 =G= -100;

e17.. -sqr(9 - x50) - 100*b17 + x41 =G= -100;

e18.. -sqr(9 - x51) - 100*b18 + x42 =G= -100;

e19.. -sqr(9.2 - x49) - 100*b19 + x43 =G= -100;

e20.. -sqr(9.2 - x50) - 100*b20 + x44 =G= -100;

e21.. -sqr(9.2 - x51) - 100*b21 + x45 =G= -100;

e22.. -sqr(9.5 - x49) - 100*b22 + x46 =G= -100;

e23.. -sqr(9.5 - x50) - 100*b23 + x47 =G= -100;

e24.. -sqr(9.5 - x51) - 100*b24 + x48 =G= -100;

e25..    b1 + b2 + b3 =G= 1;

e26..    b4 + b5 + b6 =G= 1;

e27..    b7 + b8 + b9 =G= 1;

e28..    b10 + b11 + b12 =G= 1;

e29..    b13 + b14 + b15 =G= 1;

e30..    b16 + b17 + b18 =G= 1;

e31..    b19 + b20 + b21 =G= 1;

e32..    b22 + b23 + b24 =G= 1;

e33..  - b1 - b4 - b7 - b10 - b13 - b16 - b19 - b22 + x52 =E= 0;

e34..  - b2 - b5 - b8 - b11 - b14 - b17 - b20 - b23 + x53 =E= 0;

e35..  - b3 - b6 - b9 - b12 - b15 - b18 - b21 - b24 + x54 =E= 0;

e36.. x52*x49 - 8*b1 - 8.5*b4 - 8.3*b7 - 8.7*b10 - 8.6*b13 - 9*b16 - 9.2*b19
       - 9.5*b22 =E= 0;

e37.. x53*x50 - 8*b2 - 8.5*b5 - 8.3*b8 - 8.7*b11 - 8.6*b14 - 9*b17 - 9.2*b20
       - 9.5*b23 =E= 0;

e38.. x54*x51 - 8*b3 - 8.5*b6 - 8.3*b9 - 8.7*b12 - 8.6*b15 - 9*b18 - 9.2*b21
       - 9.5*b24 =E= 0;

e39..  - x25 - x26 - x27 - x28 - x29 - x30 - x31 - x32 - x33 - x34 - x35 - x36
       - x37 - x38 - x39 - x40 - x41 - x42 - x43 - x44 - x45 - x46 - x47 - x48
       + objvar =E= 0;

* set non-default levels
b1.l = 0.33;
b2.l = 0.33;
b3.l = 0.33;
b4.l = 0.33;
b5.l = 0.33;
b6.l = 0.33;
b7.l = 0.33;
b8.l = 0.33;
b9.l = 0.33;
b10.l = 0.33;
b11.l = 0.33;
b12.l = 0.33;
b13.l = 0.33;
b14.l = 0.33;
b15.l = 0.33;
b16.l = 0.33;
b17.l = 0.33;
b18.l = 0.33;
b19.l = 0.33;
b20.l = 0.33;
b21.l = 0.33;
b22.l = 0.33;
b23.l = 0.33;

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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