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Instance: batchdes

Formats ams gms mod nl osil
Primal Bounds
167427.65710000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
167427.65630000 (ALPHAECP)
167427.65710000 (ANTIGONE)
167427.65710000 (BARON)
167427.65700000 (BONMIN)
167427.65710000 (COUENNE)
167427.65710000 (LINDO)
167427.65710000 (SCIP)
References Kocis, Gary R and Grossmann, I E, Global Optimization of Nonconvex MINLP Problems in Process Synthesis, Industrial and Engineering Chemistry Research, 27:8, 1988, 1407-1421.
Source GAMS Model Library model batchdes
Application Batch processing
Added to library 01 May 2001
Problem type MBNLP
#Variables 19
#Binary Variables 9
#Integer Variables 0
#Nonlinear Variables 10
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type nonlinear
Objective curvature convex
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 6
#Constraints 19
#Linear Constraints 18
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 1
Operands in Gen. Nonlin. Functions exp
Constraints curvature convex
#Nonzeros in Jacobian 46
#Nonlinear Nonzeros in Jacobian 4
#Nonzeros in (Upper-Left) Hessian of Lagrangian 20
#Nonzeros in Diagonal of Hessian of Lagrangian 10
#Blocks in Hessian of Lagrangian 5
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
Infeasibility of initial point 517.1
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
*         20        7       12        1        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         20       11        9        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         53       43       10        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,objvar;

Positive Variables  x17,x18,x19;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20;


e1..    x10 - x13 =G= 0.693147180559945;

e2..    x11 - x13 =G= 1.09861228866811;

e3..    x12 - x13 =G= 1.38629436111989;

e4..    x10 - x14 =G= 1.38629436111989;

e5..    x11 - x14 =G= 1.79175946922805;

e6..    x12 - x14 =G= 1.09861228866811;

e7..    x15 + x17 =G= 2.07944154167984;

e8..    x15 + x18 =G= 2.99573227355399;

e9..    x15 + x19 =G= 1.38629436111989;

e10..    x16 + x17 =G= 2.30258509299405;

e11..    x16 + x18 =G= 2.484906649788;

e12..    x16 + x19 =G= 1.09861228866811;

e13.. 200000*exp(x15 - x13) + 150000*exp(x16 - x14) =L= 6000;

e14..  - 0.693147180559945*b4 - 1.09861228866811*b7 + x17 =E= 0;

e15..  - 0.693147180559945*b5 - 1.09861228866811*b8 + x18 =E= 0;

e16..  - 0.693147180559945*b6 - 1.09861228866811*b9 + x19 =E= 0;

e17..    b1 + b4 + b7 =E= 1;

e18..    b2 + b5 + b8 =E= 1;

e19..    b3 + b6 + b9 =E= 1;

e20.. -(250*exp(0.6*x10 + x17) + 500*exp(0.6*x11 + x18) + 340*exp(0.6*x12 + x19
      )) + objvar =E= 0;

* set non-default bounds
x10.lo = 5.52146091786225; x10.up = 7.82404601085629;
x11.lo = 5.52146091786225; x11.up = 7.82404601085629;
x12.lo = 5.52146091786225; x12.up = 7.82404601085629;
x13.lo = 5.40367788220586; x13.up = 6.4377516497364;
x14.lo = 4.60517018598809; x14.up = 6.03228654162824;
x15.lo = 1.89711998488588; x15.up = 2.99573227355399;
x16.lo = 1.38629436111989; x16.up = 2.484906649788;
x17.up = 1.09861228866811;
x18.up = 1.09861228866811;
x19.up = 1.09861228866811;

* set non-default levels
x10.l = 6.70502272492805;
x11.l = 7.11048783303622;
x12.l = 7.30700912709102;
x13.l = 5.92071476597113;
x14.l = 5.31872836380816;

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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