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Instance: ex14_1_2

Formats ams gms mod nl osil pip
Primal Bounds
0.00000000 p1 ( gdx sol )
(infeas: 4e-15)
Dual Bounds
-0.00000000 (ANTIGONE)
0.00000000 (BARON)
-0.00000000 (COUENNE)
0.00000000 (LINDO)
-0.00000010 (SCIP)
References Floudas, C A, Pardalos, Panos M, Adjiman, C S, Esposito, W R, Gumus, Zeynep H, Harding, S T, Klepeis, John L, Meyer, Clifford A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization, Kluwer Academic Publishers, 1999.
Meintjes, K and Morgan, A P, Chemical-Equilibrium Systems as Numerical Test Problems, ACM Transactions on Mathematical Software, 16:2, 1990, 143-151.
Source Test Problem ex14.1.2 of Chapter 14 of Floudas e.a. handbook
Added to library 31 Jul 2001
Problem type NLP
#Variables 6
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 4
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 9
#Linear Constraints 0
#Quadratic Constraints 3
#Polynomial Constraints 6
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 41
#Nonlinear Nonzeros in Jacobian 26
#Nonzeros in (Upper-Left) Hessian of Lagrangian 9
#Nonzeros in Diagonal of Hessian of Lagrangian 3
#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 0.9999
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        2        0        8        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          7        7        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         43       17       26        0
*
*  Solve m using NLP minimizing objvar;


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

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


e1..  - x6 + objvar =E= 0;

e2.. x1*x2 + x1 - 3*x5 =E= 0;

e3.. 2.8845e-6*sqr(x2) + 4.4975e-7*x2 + 2*x1*x2 + x1 + 0.000545176668613029*x2*
     x3 + 3.40735417883143e-5*x2*x4 + sqr(x3)*x2 - 10*x5 - x6 =L= 0;

e4.. (-2.8845e-6*sqr(x2)) - 4.4975e-7*x2 - 2*x1*x2 - x1 - 0.000545176668613029*
     x2*x3 - 3.40735417883143e-5*x2*x4 - sqr(x3)*x2 + 10*x5 - x6 =L= 0;

e5.. 0.386*sqr(x3) + 0.000410621754172864*x3 + 0.000545176668613029*x2*x3 + 2*
     sqr(x3)*x2 - 8*x5 - x6 =L= 0;

e6.. (-0.386*sqr(x3)) - 0.000410621754172864*x3 - 0.000545176668613029*x2*x3 - 
     2*sqr(x3)*x2 + 8*x5 - x6 =L= 0;

e7.. 2*sqr(x4) + 3.40735417883143e-5*x2*x4 - 40*x5 - x6 =L= 0;

e8.. (-2*sqr(x4)) - 3.40735417883143e-5*x2*x4 + 40*x5 - x6 =L= 0;

e9.. 9.615e-7*sqr(x2) + 4.4975e-7*x2 + 0.193*sqr(x3) + 0.000410621754172864*x3
      + sqr(x4) + x1*x2 + x1 + 0.000545176668613029*x2*x3 + 3.40735417883143e-5
     *x2*x4 + sqr(x3)*x2 - x6 =L= 1;

e10.. (-9.615e-7*sqr(x2)) - 4.4975e-7*x2 - 0.193*sqr(x3) - 0.000410621754172864
      *x3 - sqr(x4) - x1*x2 - x1 - 0.000545176668613029*x2*x3 - 
      3.40735417883143e-5*x2*x4 - sqr(x3)*x2 - x6 =L= -1;

* set non-default bounds
x1.lo = 0.0001; x1.up = 100;
x2.lo = 0.0001; x2.up = 100;
x3.lo = 0.0001; x3.up = 100;
x4.lo = 0.0001; x4.up = 100;
x5.lo = 0.0001; x5.up = 100;

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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