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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance gbd

Formatsⓘ	ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)ⓘ	2.20000000 p1 ( gdx sol ) (infeas: 0)
Other points (infeas > 1e-08)ⓘ
Dual Boundsⓘ	2.20000000 (ALPHAECP) 2.20000000 (ANTIGONE) 2.20000000 (BARON) 2.20000000 (BONMIN) 2.20000000 (COUENNE) 2.20000000 (CPLEX) 2.20000000 (GUROBI) 2.20000000 (LINDO) 2.20000000 (SCIP) 2.20000000 (SHOT)
Sourceⓘ	MINOPT Model Library model gbd_test.dat
Added to libraryⓘ	01 May 2001
Problem typeⓘ	MBQP
#Variablesⓘ	4
#Binary Variablesⓘ	3
#Integer Variablesⓘ	0
#Nonlinear Variablesⓘ	1
#Nonlinear Binary Variablesⓘ	0
#Nonlinear Integer Variablesⓘ	0
Objective Senseⓘ	min
Objective typeⓘ	quadratic
Objective curvatureⓘ	convex
#Nonzeros in Objectiveⓘ	4
#Nonlinear Nonzeros in Objectiveⓘ	1
#Constraintsⓘ	4
#Linear Constraintsⓘ	4
#Quadratic Constraintsⓘ	0
#Polynomial Constraintsⓘ	0
#Signomial Constraintsⓘ	0
#General Nonlinear Constraintsⓘ	0
Operands in Gen. Nonlin. Functionsⓘ
Constraints curvatureⓘ	linear
#Nonzeros in Jacobianⓘ	12
#Nonlinear Nonzeros in Jacobianⓘ	0
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ	1
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ	1
#Blocks in Hessian of Lagrangianⓘ	1
Minimal blocksize in Hessian of Lagrangianⓘ	1
Maximal blocksize in Hessian of Lagrangianⓘ	1
Average blocksize in Hessian of Lagrangianⓘ	1.0
#Semicontinuitiesⓘ	0
#Nonlinear Semicontinuitiesⓘ	0
#SOS type 1ⓘ	0
#SOS type 2ⓘ	0
Minimal coefficientⓘ	1.0000e-01
Maximal coefficientⓘ	5.0000e+00
Infeasibility of initial pointⓘ	2
Sparsity Jacobianⓘ
Sparsity Hessian of Lagrangianⓘ

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          5        1        2        2        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          5        2        3        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         17       16        1        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,x2,b3,b4,b5;

Binary Variables  b3,b4,b5;

Equations  e1,e2,e3,e4,e5;


e1.. -5*sqr(x2) + objvar - b3 - b4 - b5 =E= 0;

e2..    3*x2 - b3 - b4 =L= 0;

e3..  - x2 + 0.1*b4 + 0.25*b5 =L= 0;

e4..    b3 + b4 + b5 =G= 2;

e5..    b3 + b4 + 2*b5 =G= 2;

* set non-default bounds
x2.lo = 0.2; x2.up = 1;

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;