MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: house

Formats ams gms lp mod nl osil pip
Primal Bounds
-4500.00000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
-4500.00443600 (ANTIGONE)
-4500.00000900 (BARON)
-4500.00001100 (COUENNE)
-4500.00008100 (LINDO)
-4500.00001300 (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
Infeasibility of initial point 1500
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
*          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;


Last updated: 2018-09-14 Git hash: ac5a5314
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