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Instance prob10

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
3.44550379 p1 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
3.44550379 (COUENNE)
3.44550379 (LINDO)
3.44550379 (SCIP)
-1.00000000 (SHOT)
References Westerlund, Tapio and Lundqvist, Kurt, Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Tech. Rep. 01-178-A, Process Design Laboratory at Abo University, 2001.
Source Example models from AlphaECP
Added to library 02 Jul 2003
Problem type MINLP
#Variables 2
#Binary Variables 0
#Integer Variables 1
#Nonlinear Variables 2
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 1
Objective Sense min
Objective type nonlinear
Objective curvature nonconcave
#Nonzeros in Objective 2
#Nonlinear Nonzeros in Objective 2
#Constraints 2
#Linear Constraints 2
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions sin sqr
Constraints curvature linear
#Nonzeros in Jacobian 4
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 4
#Nonzeros in Diagonal of Hessian of Lagrangian 2
#Blocks in Hessian of Lagrangian 1
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
Minimal coefficient 7.0000e-01
Maximal coefficient 1.0000e+01
Infeasibility of initial point 0
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
*          3        1        0        2        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          3        2        0        1        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*          7        5        2        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,x2,i3;

Positive Variables  x2;

Integer Variables  i3;

Equations  e1,e2,e3;


e1..    0.7*x2 + i3 =L= 7;

e2..    2.5*x2 + i3 =L= 19;

e3.. 1.1*(sqr((-10) + 2*x2) + sqr((-5) + i3)) + sin(sqr((-10) + 2*x2) + sqr((-5
     ) + i3)) - objvar =E= 0;

* set non-default bounds
x2.up = 10;
i3.up = 10;

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: 2022-08-11 Git hash: f176bd52
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