MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance ex14_1_9
Formatsⓘ | ams gms mod nl osil py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | -0.00000000 (ANTIGONE) -0.00000000 (BARON) -0.66442953 (COUENNE) -0.00000000 (LINDO) -0.00000000 (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. Smith, J, Chemical Engineering Kinetics, Butterworth, Stoneham, MA, 1985. |
Sourceⓘ | Test Problem ex14.1.9 of Chapter 14 of Floudas e.a. handbook |
Added to libraryⓘ | 31 Jul 2001 |
Problem typeⓘ | NLP |
#Variablesⓘ | 2 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 1 |
#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ⓘ | 2 |
#Linear Constraintsⓘ | 0 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 2 |
Operands in Gen. Nonlin. Functionsⓘ | div exp mul |
Constraints curvatureⓘ | unknown |
#Nonzeros in Jacobianⓘ | 4 |
#Nonlinear Nonzeros in Jacobianⓘ | 2 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 1 |
#Blocks in Hessian of Lagrangianⓘ | 1 |
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ⓘ | 3.3557e-03 |
Maximal coefficientⓘ | 2.0205e+09 |
Infeasibility of initial pointⓘ | 0.6644 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 3 1 0 2 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 3 3 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 6 4 2 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar; Equations e1,e2,e3; e1.. - x2 + objvar =E= 0; e2.. 4510067.11409396*exp(-7548.11926028431/x1)*x1 + 0.00335570469798658*x1 - 2020510067.11409*exp(-7548.11926028431/x1) - x2 =L= 1; e3.. (-4510067.11409396*exp(-7548.11926028431/x1)*x1) - 0.00335570469798658*x1 + 2020510067.11409*exp(-7548.11926028431/x1) - x2 =L= -1; * set non-default bounds x1.lo = 100; x1.up = 1000; 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: 2024-08-26 Git hash: 6cc1607f