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Wikipedia

GNU Linear Programming Kit

The GNU Linear Programming Kit (GLPK) is a software package intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It is a set of routines written in ANSI C and organized in the form of a callable library. The package is part of the GNU Project and is released under the GNU General Public License.

GNU Linear Programming Kit
Original author(s)Andrew O. Makhorin
Developer(s)GNU Project
Stable release
5.0[1]  / 16 December 2020; 2 years ago (16 December 2020)
Repository
  • salsa.debian.org/science-team/glpk.git
Written inC
Operating systemCross-platform
Available inEnglish
LicenseGPLv3
Websitewww.gnu.org/software/glpk/

GLPK uses the revised simplex method and the primal-dual interior point method for non-integer problems and the branch-and-bound algorithm together with Gomory's mixed integer cuts for (mixed) integer problems.

History

GLPK was developed by Andrew O. Makhorin (Андрей Олегович Махорин) of the Moscow Aviation Institute. The first public release was in October 2000.

  • Version 1.1.1 contained a library for a revised primal and dual simplex algorithm.
  • Version 2.0 introduced an implementation of the primal-dual interior point method.
  • Version 2.2 added branch and bound solving of mixed integer problems.
  • Version 2.4 added a first implementation of the GLPK/L modeling language.
  • Version 4.0 replaced GLPK/L by the GNU MathProg modeling language, which is a subset of the AMPL modeling language.

Interfaces and wrappers

Since version 4.0, GLPK problems can be modeled using GNU MathProg (GMPL), a subset of the AMPL modeling language used only by GLPK. However, GLPK is most commonly called from other programming languages. Wrappers exist for:

Further reading

  • Eiji Oki (2012). Linear Programming and Algorithms for Communication Networks: A Practical Guide to Network Design, Control, and Management. CRC Press. ISBN 978-1-4665-5264-7. The book uses GLPK exclusively and contains numerous examples.

References

  1. ^ Andrew Makhorin (16 December 2020). "glpk 5.0 release information". Retrieved 16 December 2020.
  2. ^ GLPK.jl, JuMP-dev, 2023-01-16, retrieved 2023-02-04
  3. ^ jump-dev/JuMP.jl, JuMP-dev, 2023-02-04, retrieved 2023-02-04
  4. ^ "GLPK for Java – About".

External links

  • GLPK official site
  • GLPK Wikibook

linear, programming, glpk, software, package, intended, solving, large, scale, linear, programming, mixed, integer, programming, other, related, problems, routines, written, ansi, organized, form, callable, library, package, part, project, released, under, gen. The GNU Linear Programming Kit GLPK is a software package intended for solving large scale linear programming LP mixed integer programming MIP and other related problems It is a set of routines written in ANSI C and organized in the form of a callable library The package is part of the GNU Project and is released under the GNU General Public License GNU Linear Programming KitOriginal author s Andrew O MakhorinDeveloper s GNU ProjectStable release5 0 1 16 December 2020 2 years ago 16 December 2020 Repositorysalsa wbr debian wbr org wbr science team wbr glpk wbr gitWritten inCOperating systemCross platformAvailable inEnglishLicenseGPLv3Websitewww wbr gnu wbr org wbr software wbr glpk wbr GLPK uses the revised simplex method and the primal dual interior point method for non integer problems and the branch and bound algorithm together with Gomory s mixed integer cuts for mixed integer problems Contents 1 History 2 Interfaces and wrappers 3 Further reading 4 References 5 External linksHistory EditGLPK was developed by Andrew O Makhorin Andrej Olegovich Mahorin of the Moscow Aviation Institute The first public release was in October 2000 Version 1 1 1 contained a library for a revised primal and dual simplex algorithm Version 2 0 introduced an implementation of the primal dual interior point method Version 2 2 added branch and bound solving of mixed integer problems Version 2 4 added a first implementation of the GLPK L modeling language Version 4 0 replaced GLPK L by the GNU MathProg modeling language which is a subset of the AMPL modeling language Interfaces and wrappers EditSince version 4 0 GLPK problems can be modeled using GNU MathProg GMPL a subset of the AMPL modeling language used only by GLPK However GLPK is most commonly called from other programming languages Wrappers exist for Julia 2 and the JuMP modeling package 3 Java using OptimJ 4 Further reading Edit Wikibooks has a book on the topic of GLPK Eiji Oki 2012 Linear Programming and Algorithms for Communication Networks A Practical Guide to Network Design Control and Management CRC Press ISBN 978 1 4665 5264 7 The book uses GLPK exclusively and contains numerous examples References Edit Andrew Makhorin 16 December 2020 glpk 5 0 release information Retrieved 16 December 2020 GLPK jl JuMP dev 2023 01 16 retrieved 2023 02 04 jump dev JuMP jl JuMP dev 2023 02 04 retrieved 2023 02 04 GLPK for Java About External links Edit Free and open source software portalGLPK official site GLPK Wikibook Retrieved from https en wikipedia org w index php title GNU Linear Programming Kit amp oldid 1140110111, wikipedia, wiki, book, books, library,

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