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Instance: ex14_1_1

Formats ams gms mod nl osil pip
Primal Bounds
-0.00000000 p1 ( gdx sol )
(infeas: 4e-14)
Dual Bounds
-0.00000000 (ANTIGONE)
-0.00000000 (BARON)
-0.00000000 (COUENNE)
-0.00000000 (LINDO)
-0.00000064 (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.
Reklaitis, G and Ragsdell, K, Engineering Optimization, John Wiley and Sons, New York, NY, 1983.
Source Test Problem ex14.1.1 of Chapter 14 of Floudas e.a. handbook
Added to library 31 Jul 2001
Problem type NLP
#Variables 3
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 2
#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 4
#Linear Constraints 0
#Quadratic Constraints 0
#Polynomial Constraints 4
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 12
#Nonlinear Nonzeros in Jacobian 8
#Nonzeros in (Upper-Left) Hessian of Lagrangian 4
#Nonzeros in Diagonal of Hessian of Lagrangian 2
#Blocks in Hessian of Lagrangian 1
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 22
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
*          5        1        0        4        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          4        4        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         14        6        8        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,objvar;

Equations  e1,e2,e3,e4,e5;


e1..  - x3 + objvar =E= 0;

e2.. 2*sqr(x2) + 4*x1*x2 - 42*x1 + 4*POWER(x1,3) - x3 =L= 14;

e3.. (-2*sqr(x2)) - 4*x1*x2 + 42*x1 - 4*POWER(x1,3) - x3 =L= -14;

e4.. 2*sqr(x1) + 4*x1*x2 - 26*x2 + 4*POWER(x2,3) - x3 =L= 22;

e5.. (-2*sqr(x1)) - 4*x1*x2 + 26*x2 - 4*POWER(x2,3) - x3 =L= -22;

* set non-default bounds
x1.lo = -5; x1.up = 5;
x2.lo = -5; x2.up = 5;

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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