MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics

Instance house

Formatsⓘ	ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)ⓘ	-4500.00000000 p1 ( gdx sol ) (infeas: 0)
Other points (infeas > 1e-08)ⓘ
Dual Boundsⓘ	-4500.00443600 (ANTIGONE) -4500.00000900 (BARON) -4500.00001100 (COUENNE) -4500.00003700 (GUROBI) -4500.00000000 (LINDO) -4500.00000200 (SCIP)
Referencesⓘ	Borland, Eureka: The Solver, Borland International, Scotts Valley, California, 1987.
Sourceⓘ	GAMS Model Library model house
Applicationⓘ	Geometry
Added to libraryⓘ	31 Jul 2001
Problem typeⓘ	QCP
#Variablesⓘ	8
#Binary Variablesⓘ	0
#Integer Variablesⓘ	0
#Nonlinear Variablesⓘ	5
#Nonlinear Binary Variablesⓘ	0
#Nonlinear Integer Variablesⓘ	0
Objective Senseⓘ	min
Objective typeⓘ	linear
Objective curvatureⓘ	linear
#Nonzeros in Objectiveⓘ	2
#Nonlinear Nonzeros in Objectiveⓘ	0
#Constraintsⓘ	8
#Linear Constraintsⓘ	5
#Quadratic Constraintsⓘ	3
#Polynomial Constraintsⓘ	0
#Signomial Constraintsⓘ	0
#General Nonlinear Constraintsⓘ	0
Operands in Gen. Nonlin. Functionsⓘ
Constraints curvatureⓘ	indefinite
#Nonzeros in Jacobianⓘ	23
#Nonlinear Nonzeros in Jacobianⓘ	9
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ	8
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ	0
#Blocks in Hessian of Lagrangianⓘ	1
Minimal blocksize in Hessian of Lagrangianⓘ	5
Maximal blocksize in Hessian of Lagrangianⓘ	5
Average blocksize in Hessian of Lagrangianⓘ	5.0
#Semicontinuitiesⓘ	0
#Nonlinear Semicontinuitiesⓘ	0
#SOS type 1ⓘ	0
#SOS type 2ⓘ	0
Minimal coefficientⓘ	3.3333e-01
Maximal coefficientⓘ	1.0000e+00
Infeasibility of initial pointⓘ	1500
Sparsity Jacobianⓘ
Sparsity Hessian of Lagrangianⓘ

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          9        5        3        1        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          9        9        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         26       17        9        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,objvar;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9;


e1.. -(x1*x2 + x5*x4) + x7 =E= 0;

e2.. -x1*x3 + x8 =E= 0;

e3..  - x7 - x8 - objvar =E= 0;

e4..  - x2 - x5 + x6 =E= 0;

e5..    x1 - 0.333333333333333*x4 =G= 0;

e6..    x1 - 0.5*x4 =L= 0;

e7.. x2*(x4 - x1) =G= 1500;

e8..  - 0.5*x2 + x3 - x5 =E= 0;

e9..  - 0.5*x2 + x5 =G= 0;

* set non-default bounds
x4.lo = 40; x4.up = 68;
x6.lo = 56; x6.up = 100;
x7.up = 3000;

* set non-default levels
x1.l = 30;
x4.l = 68;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;