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Integer programming

An integer programming, also known as integer optimization, problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers. In many settings the term refers to integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are…

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Algorithms

LP relaxationUnimodularBasic feasible solutionAdjugateCutting plane methods
23 related topics

Applications

GraphProduction planningGSMCash flow matchingEnergy system
9 related topics

Canonical and standard form for ILPs

Converted to standard form
1 related topics

Sparse integer programming

SparseBlock structureTree-depthStrongly polynomial
4 related topics

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Overview

Canonical and standard form for ILPs

Example

Proof of NP-hardness

Variants

Applications

Algorithms

Sparse integer programming

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Integer programming

Nodes58
Edges57
Triples79
Avg. degree1.97
Density0.034483
Components1

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Integer programming

Top relations

related to Further reading · 53
Integer programming → Alexander Schrijver, Applied Integer Programming, Batson, CRC Press, Denis Naddef, Der-San Chen, Dimitris Bertsimas, Dynamic Ideas, Early Years, European Journal, François Clautiaux, From, George, George Nemhauser, Gerard Sierksma, Gerhard Reinelt, Giovanni Rinaldi, INRIA, Integer, Integer Optimization
related to Sparse integer programming · 9
Integer programming → Equivalently, In, It, Lenstra, Let, Moreover, That, The, Then
related to External links · 5
Integer programming → Combinatorial Optimization, Integer ProgrammingConference Integer Programming, IPCOThe Aussois Combinatorial Optimization, Tutorial, Workshop
related to Variants · 5
Integer programming → Any, For, MILP, Mixed-integer, Zero
related to Proof of NP-hardness · 4
Integer programming → Define, Let, NP-hardness, The
related to Production planning · 3
Integer programming → In, Mixed-integer, One

Important terminology Word statistics

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Important terminology

integer displaystyle programming variables linear solution problem feasible mathbf isbn algorithm program used case one problems algorithms log integral optimization

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Integer programmingrelated to External linksTutorial0.60section
Integer programmingrelated to External linksInteger ProgrammingConference Integer Programming0.60section
Integer programmingrelated to External linksCombinatorial Optimization0.60section
Integer programmingrelated to External linksIPCOThe Aussois Combinatorial Optimization0.60section
Integer programmingrelated to External linksWorkshop0.60section
Integer programmingrelated to Further readingGeorge0.60section
Integer programmingrelated to Further readingNemhauser0.60section
Integer programmingrelated to Further readingLaurence0.60section
Integer programmingrelated to Further readingWolsey0.60section
Integer programmingrelated to Further readingInteger0.60section
Integer programmingrelated to Further readingWiley0.60section
Integer programmingrelated to Further readingISBN0.60section

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