MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance prob06
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 1.17712415 (ANTIGONE) 1.17712434 (BARON) 1.17712434 (COUENNE) 1.17712417 (GUROBI) 1.17712400 (LINDO) 1.17712434 (SCIP) |
Referencesⓘ | Maranas, C D and Floudas, C A, Global Optimization in Generalized Geometric Programming, Computers and Chemical Engineering, 21:4, 1997, 351-369. Westerlund, Tapio and Lundqvist, Kurt, Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Tech. Rep. 01-178-A, Process Design Laboratory at Abo University, 2001. |
Sourceⓘ | Example models from AlphaECP |
Added to libraryⓘ | 31 Jul 2001 |
Problem typeⓘ | QCP |
#Variablesⓘ | 2 |
#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ⓘ | 2 |
#Linear Constraintsⓘ | 0 |
#Quadratic Constraintsⓘ | 2 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 4 |
#Nonlinear Nonzeros in Jacobianⓘ | 4 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 2 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 2 |
#Blocks in Hessian of Lagrangianⓘ | 2 |
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ⓘ | 6.2500e-02 |
Maximal coefficientⓘ | 1.0000e+00 |
Infeasibility of initial pointⓘ | 0.2857 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 2 0 0 2 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 2 2 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 4 0 4 0 * * Solve m using NLP minimizing objvar; Variables objvar,x2; Equations e1,e2; e1.. 0.25*objvar - 0.0625*sqr(objvar) - 0.0625*sqr(x2) + 0.5*x2 =L= 1; e2.. 0.0714285714285714*sqr(objvar) + 0.0714285714285714*sqr(x2) - 0.428571428571429*objvar - 0.428571428571429*x2 =L= -1; * set non-default bounds objvar.lo = 1; objvar.up = 5.5; x2.lo = 1; x2.up = 5.5; 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: 2024-12-17 Git hash: 8eaceb91