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Instance: fct

Formats ams gms
Primal Bounds
46.53643357 p1 ( gdx sol )
(infeas: 4e-15)
0.00000000 p2 ( gdx sol )
(infeas: 1e-27)
Dual Bounds
0.00000000 (LINDO)
References Pinter, J D, LGO - A Model Development System for Continuous Global Optimization, User's Guide, Pinter Consulting Services, Halifax, NS, Canada, Revised edition, 2003.
Source GAMS Model Library model fct
Application Test Problem
Added to library 31 Jul 2001
Problem type NLP
#Variables 11
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 7
#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 9
#Linear Constraints 2
#Quadratic Constraints 4
#Polynomial Constraints 1
#Signomial Constraints 0
#General Nonlinear Constraints 2
Operands in Gen. Nonlin. Functions abs sin mod
Constraints curvature indefinite
#Nonzeros in Jacobian 40
#Nonlinear Nonzeros in Jacobian 26
#Nonzeros in (Upper-Left) Hessian of Lagrangian 27
#Nonzeros in Diagonal of Hessian of Lagrangian 7
#Blocks in Hessian of Lagrangian 3
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 5
Average blocksize in Hessian of Lagrangian 2.333333
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 20
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
*         10       10        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         12       12        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         43       17       26        0
*
*  Solve m using DNLP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;


e1..    objvar - 2*x6 - x7 =E= 0;

e2.. -(sqr(x8) + sqr(x9) + sqr(x10) + sqr(x11) + sqr(x12)) + x7 =E= 0;

e3..  - x3 - x5 + x6 =E= 0;

e4.. -(sqr(sqr(x8) - x9) + sqr(x10) + 2*sqr(x11) + sqr(x12 - x9)) + x2 =E= 0;

e5.. -abs(sin(4*mod(x2,3.14159265358979))) + x3 =E= 0;

e6.. -(sqr(x8 + x9 - x10 + x11 - x12) + 2*sqr(x9 - x8 + x10 - x11 + x12)) + x4
      =E= 0;

e7.. -abs(sin(3*mod(x4,3.14159265358979))) + x5 =E= 0;

e8.. 3*sqr(x9) + sqr(x10) - 2*sqr(x11) + sqr(x12) + x8 =E= 0;

e9..    x8 + 4*x9 - x10 + x11 - 3*x12 =E= 0;

e10.. sqr(x8) - sqr(x10) + 2*sqr(x9) - sqr(x11) - sqr(x12) =E= 0;

* set non-default bounds
x8.lo = -10; x8.up = 5;
x9.lo = -10; x9.up = 5;
x10.lo = -10; x10.up = 5;
x11.lo = -10; x11.up = 5;
x12.lo = -10; x12.up = 5;

* set non-default levels
x8.l = 2;
x9.l = 2;
x10.l = 2;
x11.l = 2;
x12.l = 2;

Model m / all /;

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

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

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


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