MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance ex7_2_3
Formatsⓘ | ams gms mod nl osil py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 7049.22780700 (ANTIGONE) 2338.02716800 (BARON) 2238.62632800 (COUENNE) 7049.24802000 (LINDO) 3955.96730800 (SCIP) 2100.00000000 (SHOT) |
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. Avriel, M and Williams, A C, An Extension of Geometric Programming with Applications in Engineering Optimization, Journal of Engineering Mathematics, 5:2, 1971, 187-194. |
Sourceⓘ | Test Problem ex7.2.3 of Chapter 7 of Floudas e.a. handbook |
Added to libraryⓘ | 31 Jul 2001 |
Problem typeⓘ | NLP |
#Variablesⓘ | 8 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 8 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 3 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 6 |
#Linear Constraintsⓘ | 3 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 3 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 17 |
#Nonlinear Nonzeros in Jacobianⓘ | 10 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 28 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 6 |
#Blocks in Hessian of Lagrangianⓘ | 1 |
Minimal blocksize in Hessian of Lagrangianⓘ | 8 |
Maximal blocksize in Hessian of Lagrangianⓘ | 8 |
Average blocksize in Hessian of Lagrangianⓘ | 8.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 2.5000e-03 |
Maximal coefficientⓘ | 1.2500e+06 |
Infeasibility of initial pointⓘ | 122.5 |
Sparsity Jacobianⓘ | ![]() |
Sparsity Hessian of Lagrangianⓘ | ![]() |
$offlisting * * Equation counts * Total E G L N X C B * 7 1 0 6 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 9 9 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 21 11 10 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,objvar; Equations e1,e2,e3,e4,e5,e6,e7; e1.. - x1 - x2 - x3 + objvar =E= 0; e2.. 833.33252*x4/x1/x6 + 100/x6 - 83333.333/(x1*x6) =L= 1; e3.. 1250*x5/x2/x7 + x4/x7 - 1250*x4/x2/x7 =L= 1; e4.. 1250000/(x3*x8) + x5/x8 - 2500*x5/x3/x8 =L= 1; e5.. 0.0025*x4 + 0.0025*x6 =L= 1; e6.. - 0.0025*x4 + 0.0025*x5 + 0.0025*x7 =L= 1; e7.. - 0.01*x5 + 0.01*x8 =L= 1; * set non-default bounds x1.lo = 100; x1.up = 10000; x2.lo = 1000; x2.up = 10000; x3.lo = 1000; x3.up = 10000; x4.lo = 10; x4.up = 1000; x5.lo = 10; x5.up = 1000; x6.lo = 10; x6.up = 1000; x7.lo = 10; x7.up = 1000; x8.lo = 10; x8.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: 2024-04-02 Git hash: 1dd5fb9b