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Instance: ex6_2_10

Formats ams gms mod nl osil
Primal Bounds
-3.05197613 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
-3.05198213 (ANTIGONE)
-3.65267227 (COUENNE)
-3.05227897 (LINDO)
-37.99936676 (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.
McDonald, C M and Floudas, C A, GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem, Computers and Chemical Engineering, 21:1, 1997, 1-23.
Magnussen, T, Rasmussen, P, and Fredenslund, A, UNIFAC Parameter Table for Prediction of Liquid-Liquid Equilibria, Industrial and Engineering Chemistry Process Design and Development, 20:2, 1981, 331-339.
Source Test Problem ex6.2.10 of Chapter 6 of Floudas e.a. handbook
Added to library 31 Jul 2001
Problem type NLP
#Variables 6
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 6
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type nonlinear
Objective curvature indefinite
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 6
#Constraints 3
#Linear Constraints 3
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions mul div log
Constraints curvature linear
#Nonzeros in Jacobian 6
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 18
#Nonzeros in Diagonal of Hessian of Lagrangian 6
#Blocks in Hessian of Lagrangian 2
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
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
*          4        4        0        0        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
*         13        7        6        0
*
*  Solve m using NLP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7;

Equations  e1,e2,e3,e4;


e1.. -(log(2.1055*x2 + 3.1878*x4 + 0.92*x6)*(15.3261663216011*x2 + 
     23.2043471859416*x4 + 6.69678129464404*x6) - 2.46348749603266*x2 - 
     4.33155441248417*x4 - 0.626542690017204*x6 + 6.4661663216011*log(x2/(
     2.1055*x2 + 3.1878*x4 + 0.92*x6))*x2 + 12.2043471859416*log(x4/(2.1055*x2
      + 3.1878*x4 + 0.92*x6))*x4 + 0.696781294644034*log(x6/(2.1055*x2 + 3.1878
     *x4 + 0.92*x6))*x6 + 9.86*log(x2/(1.972*x2 + 2.4*x4 + 1.4*x6))*x2 + 12*
     log(x4/(1.972*x2 + 2.4*x4 + 1.4*x6))*x4 + 7*log(x6/(1.972*x2 + 2.4*x4 + 
     1.4*x6))*x6 + log(1.972*x2 + 2.4*x4 + 1.4*x6)*(1.972*x2 + 2.4*x4 + 1.4*x6)
      + 1.972*log(x2/(1.972*x2 + 0.283910843616504*x4 + 3.02002220174195*x6))*
     x2 + 2.4*log(x4/(1.45991339466884*x2 + 2.4*x4 + 0.415073537580851*x6))*x4
      + 1.4*log(x6/(0.602183324335333*x2 + 0.115623371371275*x4 + 1.4*x6))*x6
      + log(2.1055*x3 + 3.1878*x5 + 0.92*x7)*(15.3261663216011*x3 + 
     23.2043471859416*x5 + 6.69678129464404*x7) - 2.46348749603266*x3 - 
     4.33155441248417*x5 - 0.626542690017204*x7 + 6.4661663216011*log(x3/(
     2.1055*x3 + 3.1878*x5 + 0.92*x7))*x3 + 12.2043471859416*log(x5/(2.1055*x3
      + 3.1878*x5 + 0.92*x7))*x5 + 0.696781294644034*log(x7/(2.1055*x3 + 3.1878
     *x5 + 0.92*x7))*x7 + 9.86*log(x3/(1.972*x3 + 2.4*x5 + 1.4*x7))*x3 + 12*
     log(x5/(1.972*x3 + 2.4*x5 + 1.4*x7))*x5 + 7*log(x7/(1.972*x3 + 2.4*x5 + 
     1.4*x7))*x7 + log(1.972*x3 + 2.4*x5 + 1.4*x7)*(1.972*x3 + 2.4*x5 + 1.4*x7)
      + 1.972*log(x3/(1.972*x3 + 0.283910843616504*x5 + 3.02002220174195*x7))*
     x3 + 2.4*log(x5/(1.45991339466884*x3 + 2.4*x5 + 0.415073537580851*x7))*x5
      + 1.4*log(x7/(0.602183324335333*x3 + 0.115623371371275*x5 + 1.4*x7))*x7
      - 17.2981663216011*log(x2)*x2 - 25.6043471859416*log(x4)*x4 - 
     8.09678129464404*log(x6)*x6 - 17.2981663216011*log(x3)*x3 - 
     25.6043471859416*log(x5)*x5 - 8.09678129464404*log(x7)*x7) + objvar =E= 0;

e2..    x2 + x3 =E= 0.2;

e3..    x4 + x5 =E= 0.4;

e4..    x6 + x7 =E= 0.4;

* set non-default bounds
x2.lo = 1E-7; x2.up = 0.2;
x3.lo = 1E-7; x3.up = 0.2;
x4.lo = 1E-7; x4.up = 0.4;
x5.lo = 1E-7; x5.up = 0.4;
x6.lo = 1E-7; x6.up = 0.4;
x7.lo = 1E-7; x7.up = 0.4;

* set non-default levels
x2.l = 0.19863;
x3.l = 0.00137;
x4.l = 0.00428;
x5.l = 0.39572;
x6.l = 0.39922;
x7.l = 0.00078;

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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