MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance fac1

Formatsⓘ	ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)ⓘ	160912612.40000001 p1 ( gdx sol ) (infeas: 0)
Other points (infeas > 1e-08)ⓘ
Dual Boundsⓘ	160912612.40000001 (ALPHAECP) 160912612.40000001 (ANTIGONE) 160912612.40000001 (BARON) 160912612.40000001 (BONMIN) 160912612.40000001 (COUENNE) 160912612.40000001 (LINDO) 160912612.40000001 (SCIP) 160912612.40000001 (SHOT)
Sourceⓘ	MINOPT Model Library model facility1.dat
Applicationⓘ	Multi-commodity capacity facility location-allocation
Added to libraryⓘ	01 May 2001
Problem typeⓘ	MBNLP
#Variablesⓘ	22
#Binary Variablesⓘ	6
#Integer Variablesⓘ	0
#Nonlinear Variablesⓘ	16
#Nonlinear Binary Variablesⓘ	0
#Nonlinear Integer Variablesⓘ	0
Objective Senseⓘ	min
Objective typeⓘ	nonlinear
Objective curvatureⓘ	convex
#Nonzeros in Objectiveⓘ	18
#Nonlinear Nonzeros in Objectiveⓘ	16
#Constraintsⓘ	18
#Linear Constraintsⓘ	18
#Quadratic Constraintsⓘ	0
#Polynomial Constraintsⓘ	0
#Signomial Constraintsⓘ	0
#General Nonlinear Constraintsⓘ	0
Operands in Gen. Nonlin. Functionsⓘ	vcpower
Constraints curvatureⓘ	linear
#Nonzeros in Jacobianⓘ	56
#Nonlinear Nonzeros in Jacobianⓘ	0
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ	128
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ	16
#Blocks in Hessian of Lagrangianⓘ	2
Minimal blocksize in Hessian of Lagrangianⓘ	8
Maximal blocksize in Hessian of Lagrangianⓘ	8
Average blocksize in Hessian of Lagrangianⓘ	8.0
#Semicontinuitiesⓘ	0
#Nonlinear Semicontinuitiesⓘ	0
#SOS type 1ⓘ	0
#SOS type 2ⓘ	0
Minimal coefficientⓘ	1.0000e+00
Maximal coefficientⓘ	3.2000e+03
Infeasibility of initial pointⓘ	1
Sparsity Jacobianⓘ
Sparsity Hessian of Lagrangianⓘ

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         19       11        2        6        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         23       17        6        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         75       59       16        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,b17,b18,b19
          ,b20,b21,b22,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;

Binary Variables  b17,b18,b19,b20,b21,b22;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19;


e1.. -(50*(x1 + x2 + x3 + x4 + x9 + x10 + x11 + x12)**2.5 + 70*(x5 + x6 + x7 + 
     x8 + x13 + x14 + x15 + x16)**2.5 + 10*x1 + 15*x2 + 20*x3 + 10*x4 + 5*x5 + 
     5*x6 + 30*x7 + 10*x8 + 25*x9 + 20*x10 + 15*x11 + 20*x12 + 30*x13 + 10*x14
      + 10*x15 + 30*x16) - 2000*b21 - 2500*b22 + objvar =E= 0;

e2..    x1 + x3 + x5 + x7 =L= 100;

e3..    x2 + x4 + x6 + x8 =L= 200;

e4..    x9 + x11 + x13 + x15 =L= 150;

e5..    x10 + x12 + x14 + x16 =L= 120;

e6..    x1 + x9 - 120*b17 =E= 0;

e7..    x2 + x10 - 140*b17 =E= 0;

e8..    x3 + x11 - 130*b18 =E= 0;

e9..    x4 + x12 - 180*b18 =E= 0;

e10..    x5 + x13 - 120*b19 =E= 0;

e11..    x6 + x14 - 140*b19 =E= 0;

e12..    x7 + x15 - 130*b20 =E= 0;

e13..    x8 + x16 - 180*b20 =E= 0;

e14..    260*b17 + 310*b18 - 2500*b21 =L= 0;

e15..    260*b19 + 310*b20 - 3200*b22 =L= 0;

e16..    260*b17 + 310*b18 - 50*b21 =G= 0;

e17..    260*b19 + 310*b20 - 50*b22 =G= 0;

e18..    b17 + b19 =E= 1;

e19..    b18 + b20 =E= 1;

* set non-default bounds
x1.up = 300;
x2.up = 300;
x3.up = 300;
x4.up = 300;
x5.up = 300;
x6.up = 300;
x7.up = 300;
x8.up = 300;
x9.up = 300;
x10.up = 300;
x11.up = 300;
x12.up = 300;
x13.up = 300;
x14.up = 300;
x15.up = 300;
x16.up = 300;

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;