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Removed Instance ex3

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)  
Other points (infeas > 1e-08)  
Dual Bounds  
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Source MINOPT Model Library model duran86-3.dat, Aldo Vecchietti's Model Collection
Application Process selection
Added to library 01 May 2001
Removed from library 31 May 2014
Removed because Variant of ex3pb with some variable bounds missing
Problem type MBNLP
#Variables 32
#Binary Variables 8
#Integer Variables 0
#Nonlinear Variables 5
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 22
#Nonlinear Nonzeros in Objective 0
#Constraints 31
#Linear Constraints 26
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 5
Operands in Gen. Nonlin. Functions exp
Constraints curvature indefinite
#Nonzeros in Jacobian 77
#Nonlinear Nonzeros in Jacobian 5
#Nonzeros in (Upper-Left) Hessian of Lagrangian 5
#Nonzeros in Diagonal of Hessian of Lagrangian 5
#Blocks in Hessian of Lagrangian 5
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 4.0000e-01
Maximal coefficient 8.0000e+01
Infeasibility of initial point 2

$offlisting
*  MINLP written by GAMS Convert at 04/18/01 12:06:38
*  
*  Equation counts
*     Total       E       G       L       N       X
*        32      18       2      12       0       0
*  
*  Variable counts
*                 x       b       i     s1s     s2s      sc      si
*     Total    cont  binary integer    sos1    sos2   scont    sint
*        33      25       8       0       0       0       0       0
*  FX     0       0       0       0       0       0       0       0
*  
*  Nonzero counts
*     Total   const      NL     DLL
*       100      95       5       0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,objvar;

Positive Variables x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19,x20,x21,x22,x23
          ,x24,x25,x26,x27,x28,x29,x30,x31,x32;

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

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32;


e1.. exp(x10) - x9 =E= 1;

e2.. exp(0.833333333333333*x12) - x11 =E= 1;

e3..  - x15 + 1.5*x16 + x17 =E= 0;

e4..    1.25*x19 - x20 + 1.25*x21 =E= 0;

e5..    x22 - 2*x23 =E= 0;

e6.. exp(0.666666666666667*x27) - x26 =E= 1;

e7.. exp(x29) - x28 =E= 1;

e8.. exp(x25) - x17 - x24 =E= 1;

e9..    x20 - x26 - x28 =E= 0;

e10..  - x16 - x23 + x24 - x32 =E= 0;

e11..    x18 - x19 - x22 =E= 0;

e12..    x10 + x12 - x13 - x18 =E= 0;

e13..    x13 - x14 - x15 =E= 0;

e14..  - x27 - x29 + x30 =E= 0;

e15..  - x21 + x30 - x31 =E= 0;

e16..    x17 - 0.8*x24 =L= 0;

e17..    x17 - 0.4*x24 =G= 0;

e18..    x19 - 5*x21 =L= 0;

e19..    x19 - 2*x21 =G= 0;

e20..  - 10*b8 + x9 =L= 0;

e21..  - 10*b1 + x11 =L= 0;

e22..  - 10*b2 + x16 =L= 0;

e23..  - 10*b3 + x19 + x21 =L= 0;

e24..  - 10*b4 + x22 =L= 0;

e25..  - 10*b5 + x26 =L= 0;

e26..  - 10*b6 + x28 =L= 0;

e27..  - 10*b7 + x17 + x24 =L= 0;

e28..    b1 + b8 =E= 1;

e29..    b3 + b4 =L= 1;

e30..  - b3 + b5 + b6 =E= 0;

e31..    b2 - b7 =L= 0;

e32..  - 8*b1 - 6*b2 - 10*b3 - 6*b4 - 7*b5 - 4*b6 - 5*b7 - 5*b8 - x9 + 10*x10
       - x11 + 15*x12 + 40*x16 - 15*x17 - 15*x21 - 80*x24 + 65*x25 - 25*x26
       + 60*x27 - 35*x28 + 80*x29 + 35*x32 + objvar =E= 122;

* set non default bounds

x10.up = 2; 
x12.up = 2; 
x16.up = 2; 
x17.up = 1; 
x21.up = 1; 
x24.up = 2; 
x26.up = 2; 
x28.up = 2; 
x32.up = 3; 

$if set nostart $goto modeldef
* set non default levels

x9.l = 2; 
x10.l = 1.5; 
x13.l = 0.75; 
x14.l = 0.5; 
x15.l = 0.5; 
x16.l = 0.75; 
x18.l = 1.5; 
x19.l = 1.34; 
x20.l = 2; 
x25.l = 0.75; 
x27.l = 1.5; 
x30.l = 1.7; 
x31.l = 1.5; 
x32.l = 0.5; 

* set non default marginals


$label modeldef
Model m / all /;

m.limrow=0; m.limcol=0;

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

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


Last updated: 2022-08-11 Git hash: f176bd52
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