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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: gear4

Formats ams gms mod nl osil
Primal Bounds
1.64342847 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
1.64342847 (ANTIGONE)
1.64342847 (BARON)
1.64342847 (COUENNE)
1.64342847 (LINDO)
1.64338301 (SCIP)
References Deb, Kalyanmoy and Goyal, Mayank, Optimizing Engineering Designs Using a Combined Genetic Search. In Bäck, Thomas, Ed, Proceedings of the Seventh International Conference on Genetic Algorithms, 1997, 521-528.
Source modified GAMS Model Library model gear, modified MacMINLP model geartrain.mod
Application Gear Train Design
Added to library 01 May 2001
Problem type MINLP
#Variables 6
#Binary Variables 0
#Integer Variables 4
#Nonlinear Variables 4
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 4
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 2
#Nonlinear Nonzeros in Objective 0
#Constraints 1
#Linear Constraints 0
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 1
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 6
#Nonlinear Nonzeros in Jacobian 4
#Nonzeros in (Upper-Left) Hessian of Lagrangian 14
#Nonzeros in Diagonal of Hessian of Lagrangian 2
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 4
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 4.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 8.557e+05
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
*          2        2        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          7        3        0        4        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*          9        5        4        0
*
*  Solve m using MINLP minimizing objvar;


Variables  i1,i2,i3,i4,objvar,x6,x7;

Positive Variables  x6,x7;

Integer Variables  i1,i2,i3,i4;

Equations  e1,e2;


e1.. -1000000*i1*i2/(i3*i4) - x6 + x7 =E= -144279.32477276;

e2..    objvar - x6 - x7 =E= 0;

* set non-default bounds
i1.lo = 12; i1.up = 60;
i2.lo = 12; i2.up = 60;
i3.lo = 12; i3.up = 60;
i4.lo = 12; i4.up = 60;

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: 2018-09-14 Git hash: ac5a5314
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