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div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox vevent"><caption class="infobox-title summary">JuMP</caption><tbody><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Jump-logo-with-text-and-metadata.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Jump-logo-with-text-and-metadata.svg/121px-Jump-logo-with-text-and-metadata.svg.png" decoding="async" width="121" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Jump-logo-with-text-and-metadata.svg/182px-Jump-logo-with-text-and-metadata.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Jump-logo-with-text-and-metadata.svg/242px-Jump-logo-with-text-and-metadata.svg.png 2x" data-file-width="519" data-file-height="188" /></a></span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Software_developer" class="mw-redirect" title="Software developer">Developers</a></th><td class="infobox-data organiser"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"> <ul><li>Miles Lubin</li> <li>Benoît Legat</li> <li>Joaquim Dias Garcia</li> <li>Joey Huchette</li> <li>Oscar Dowson</li></ul> </div></td></tr><tr><th scope="row" class="infobox-label">First appeared</th><td class="infobox-data">2013<span class="noprint">; 12 years ago</span><span style="display:none"> (<span class="bday dtstart published updated">2013</span>)</span></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546" /></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_release_life_cycle" title="Software release life cycle">Stable release</a></th><td class="infobox-data"><div style="margin:0px;">1.24.0 / February 4, 2025<span class="noprint">; 57 days ago</span><span style="display:none"> (<span class="bday dtstart published updated">2025-02-04</span>)</span></div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Implementation language</th><td class="infobox-data"><a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Operating_system" title="Operating system">OS</a></th><td class="infobox-data"><a href="/wiki/Cross-platform" class="mw-redirect" title="Cross-platform">Cross-platform</a>: <a href="/wiki/Linux" title="Linux">Linux</a>, <a href="/wiki/Mac_OS_X" class="mw-redirect" title="Mac OS X">Mac OS X</a> and <a href="/wiki/Windows" class="mw-redirect" title="Windows">Windows</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Software_license" title="Software license">License</a></th><td class="infobox-data"><a href="/wiki/Mozilla_Public_License" title="Mozilla Public License">Mozilla MPL‑2.0</a> (JuMP), <a href="/wiki/MIT_License" title="MIT License">MIT</a> (supporting packages)</td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://jump.dev">jump<wbr />.dev</a></span></td></tr><tr><th colspan="2" class="infobox-header" style="background-color: #eee;">Influenced by</th></tr><tr><td colspan="2" class="infobox-full-data"><a href="/wiki/AMPL" title="AMPL">AMPL</a>, <a href="/wiki/COIN-OR#PuLP" title="COIN-OR">PuLP</a></td></tr></tbody></table> <p><b>JuMP</b> is an <a href="/wiki/Algebraic_modeling_language" title="Algebraic modeling language">algebraic modeling language</a> and a collection of supporting packages for <a href="/wiki/Mathematical_optimization" title="Mathematical optimization">mathematical optimization</a> embedded in the <a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a> programming language.<sup id="cite_ref-dunning-etal-2017_1-0" class="reference"><a href="#cite_note-dunning-etal-2017-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-lubin-etal-2023_2-0" class="reference"><a href="#cite_note-lubin-etal-2023-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> JuMP is used by companies, government agencies, academic institutions, software projects, and individuals to formulate and submit <a href="/wiki/Optimization_(mathematics)" class="mw-redirect" title="Optimization (mathematics)">optimization</a> problems to third‑party solvers. JuMP has been specifically applied to problems in the field of <a href="/wiki/Operations_research" title="Operations research">operations research</a>.<sup id="cite_ref-kwon-2ed-2019_3-0" class="reference"><a href="#cite_note-kwon-2ed-2019-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Features">Features</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=1" title="Edit section: Features"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>JuMP is a <a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a> package and <a href="/wiki/Domain-specific_language" title="Domain-specific language">domain-specific language</a> that provides an <a href="/wiki/API" title="API">API</a> and syntax for declaring and solving optimization problems. Specialized syntax for declaring decision variables, adding constraints, and setting objective functions is facilitated by Julia's <a href="/wiki/Macro_(computer_science)#Syntactic_macros" title="Macro (computer science)">syntactic macros</a> and <a href="/wiki/Metaprogramming" title="Metaprogramming">metaprogramming</a> features. JuMP supports <a href="/wiki/Linear_programming" title="Linear programming">linear programming</a>, mixed integer programming, <a href="/wiki/Semidefinite_programming" title="Semidefinite programming">semidefinite programming</a>, <a href="/wiki/Conic_optimization" title="Conic optimization">conic optimization</a>, <a href="/wiki/Nonlinear_programming" title="Nonlinear programming">nonlinear programming</a>, and other classes of optimization problems. JuMP provides access to over 50 <a href="/wiki/Solver" title="Solver">solvers</a>, including state-of-the-art commercial and open-source solvers.<sup id="cite_ref-jump-solvers_4-0" class="reference"><a href="#cite_note-jump-solvers-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="History">History</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=2" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>JuMP was first developed by Miles Lubin, Iain Dunning, and Joey Huchette while they were students at the <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a>. Today, JuMP's core developers are Miles Lubin, Benoît Legat, Joaquim Dias Garcia, Joey Huchette, and Oscar Dowson. Miles Lubin additionally holds the title of <a href="/wiki/BDFL" class="mw-redirect" title="BDFL">BDFL</a>.<sup id="cite_ref-jump-governance_5-0" class="reference"><a href="#cite_note-jump-governance-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> JuMP is a sponsored project of <a href="/w/index.php?title=NumFOCUS&action=edit&redlink=1" class="new" title="NumFOCUS (page does not exist)">NumFOCUS</a>.<sup id="cite_ref-jump-numfocus_6-0" class="reference"><a href="#cite_note-jump-numfocus-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Recognition">Recognition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=3" title="Edit section: Recognition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>JuMP and its authors have been acknowledged by the 2015 <a href="/wiki/COIN-OR" title="COIN-OR">COIN-OR</a> Cup, the 2016 <a href="/wiki/INFORMS" class="mw-redirect" title="INFORMS">INFORMS</a> Computing Society Prize, and the <a href="/wiki/Mathematical_Optimization_Society" title="Mathematical Optimization Society">Mathematical Optimization Society</a>'s 2021 Beale – Orchard‑Hays Prize.<sup id="cite_ref-boh-prize_7-0" class="reference"><a href="#cite_note-boh-prize-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-coincup_8-0" class="reference"><a href="#cite_note-coincup-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-ics-prize_9-0" class="reference"><a href="#cite_note-ics-prize-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/HiGHS_optimization_solver" title="HiGHS optimization solver">HiGHS optimization solver</a></li> <li><a href="/wiki/List_of_optimization_software#Free_and_open-source_software" title="List of optimization software">List of free and open-source optimization solvers</a></li> <li><a href="/wiki/Mathematical_optimization" title="Mathematical optimization">Mathematical optimization</a></li> <li><a href="/wiki/COIN-OR#PuLP" title="COIN-OR">PuLP</a> – a similar project for <a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a></li> <li><a href="/wiki/Pyomo" title="Pyomo">Pyomo</a> – <a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a> packages for formulating optimization problems</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-dunning-etal-2017-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-dunning-etal-2017_1-0">^</a></b></span> <span class="reference-text"> <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFDunningHuchetteLubin2017" class="citation journal cs1">Dunning, Iain; Huchette, Joey; Lubin, Miles (2017). <a rel="nofollow" class="external text" href="https://mlubin.github.io/pdf/jump-sirev.pdf">"JuMP: a modeling language for mathematical optimization"</a> <span class="cs1-format">(PDF)</span>. <i>SIAM Review</i>. <b>59</b> (2): <span class="nowrap">295–</span>320. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1137%2F15M1020575">10.1137/15M1020575</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0036-1445">0036-1445</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-25</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=SIAM+Review&rft.atitle=JuMP%3A+a+modeling+language+for+mathematical+optimization&rft.volume=59&rft.issue=2&rft.pages=%3Cspan+class%3D%22nowrap%22%3E295-%3C%2Fspan%3E320&rft.date=2017&rft_id=info%3Adoi%2F10.1137%2F15M1020575&rft.issn=0036-1445&rft.aulast=Dunning&rft.aufirst=Iain&rft.au=Huchette%2C+Joey&rft.au=Lubin%2C+Miles&rft_id=https%3A%2F%2Fmlubin.github.io%2Fpdf%2Fjump-sirev.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-lubin-etal-2023-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-lubin-etal-2023_2-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFLubinDowsonDias_GarciaHuchette2023" class="citation journal cs1">Lubin, Miles; Dowson, Oscar; Dias Garcia, Joaquim; Huchette, Joey; Legat, Benoît; Vielma, Juan Pablo (2023). "JuMP 1.0: Recent improvements to a modeling language for mathematical optimization". <i>Mathematical Programming Computation</i>. <b>15</b> (3): <span class="nowrap">581–</span>589. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/2206.03866">2206.03866</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2Fs12532-023-00239-3">10.1007/s12532-023-00239-3</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Mathematical+Programming+Computation&rft.atitle=JuMP+1.0%3A+Recent+improvements+to+a+modeling+language+for+mathematical+optimization&rft.volume=15&rft.issue=3&rft.pages=%3Cspan+class%3D%22nowrap%22%3E581-%3C%2Fspan%3E589&rft.date=2023&rft_id=info%3Aarxiv%2F2206.03866&rft_id=info%3Adoi%2F10.1007%2Fs12532-023-00239-3&rft.aulast=Lubin&rft.aufirst=Miles&rft.au=Dowson%2C+Oscar&rft.au=Dias+Garcia%2C+Joaquim&rft.au=Huchette%2C+Joey&rft.au=Legat%2C+Beno%C3%AEt&rft.au=Vielma%2C+Juan+Pablo&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-kwon-2ed-2019-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-kwon-2ed-2019_3-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFKwon2019" class="citation book cs1">Kwon, Changhyun (March 2019). <i>Julia programming for operations research</i> (2nd ed.). (Independently published). <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1798205471" title="Special:BookSources/978-1798205471"><bdi>978-1798205471</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Julia+programming+for+operations+research&rft.edition=2nd&rft.pub=%28Independently+published%29&rft.date=2019-03&rft.isbn=978-1798205471&rft.aulast=Kwon&rft.aufirst=Changhyun&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span> Paperback edition.</span> </li> <li id="cite_note-jump-solvers-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-jump-solvers_4-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://jump.dev/JuMP.jl/stable/installation/#Supported-solvers">"Supported solvers"</a>. <i>JuMP community</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2024-10-09</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=JuMP+community&rft.atitle=Supported+solvers&rft_id=https%3A%2F%2Fjump.dev%2FJuMP.jl%2Fstable%2Finstallation%2F%23Supported-solvers&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-jump-governance-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-jump-governance_5-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://jump.dev/pages/governance/">"Governance Structure"</a>. <i>JuMP community</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=JuMP+community&rft.atitle=Governance+Structure&rft_id=https%3A%2F%2Fjump.dev%2Fpages%2Fgovernance%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-jump-numfocus-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-jump-numfocus_6-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://numfocus.org/project/jump">"JuMP"</a>. <i>NumFOCUS</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=NumFOCUS&rft.atitle=JuMP&rft_id=https%3A%2F%2Fnumfocus.org%2Fproject%2Fjump&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-boh-prize-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-boh-prize_7-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.mathopt.org/?nav=boh_2021">"2021 Beale — Orchard-Hays Prize Citation"</a>. <i>Mathematical Optimization Society</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Mathematical+Optimization+Society&rft.atitle=2021+Beale+%E2%80%94+Orchard-Hays+Prize+Citation&rft_id=http%3A%2F%2Fwww.mathopt.org%2F%3Fnav%3Dboh_2021&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-coincup-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-coincup_8-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.coin-or.org/coinCup/coinCup2015Winner.html">"COIN-OR Cup 2015 Winners"</a>. <i>COIN-OR</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=COIN-OR&rft.atitle=COIN-OR+Cup+2015+Winners&rft_id=https%3A%2F%2Fwww.coin-or.org%2FcoinCup%2FcoinCup2015Winner.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> <li id="cite_note-ics-prize-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-ics-prize_9-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://connect.informs.org/computing/awards/ics-prize/ics-prize-2012-2016">"ICS Prize 2012-2016"</a>. <i>INFORMS Computing Society</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=INFORMS+Computing+Society&rft.atitle=ICS+Prize+2012-2016&rft_id=https%3A%2F%2Fconnect.informs.org%2Fcomputing%2Fawards%2Fics-prize%2Fics-prize-2012-2016&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJuMP" class="Z3988"></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=JuMP&action=edit&section=6" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://jump.dev/JuMP.jl/stable/">JuMP documentation</a></li> <li><a rel="nofollow" class="external text" href="https://github.com/jump-dev/JuMP.jl">JuMP repository</a></li></ul> <p><br /> </p> <div 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abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Mathematical_optimization_software" title="Template:Mathematical optimization software"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Mathematical_optimization_software" title="Template talk:Mathematical optimization software"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Mathematical_optimization_software" title="Special:EditPage/Template:Mathematical optimization software"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Mathematical_optimization_software220" style="font-size:114%;margin:0 4em"><a href="/wiki/List_of_optimization_software" title="List of optimization software">Mathematical optimization software</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%;vertical-align:top;">Data formats</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MPS_(format)" title="MPS (format)">MPS</a></li> <li><a href="/wiki/Nl_(format)" title="Nl (format)">nl</a></li> <li><a href="/wiki/Sol_(format)" title="Sol (format)">sol</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;vertical-align:top;"><a href="/wiki/Mathematical_modeling" class="mw-redirect" title="Mathematical modeling">Modeling</a> tools</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AIMMS" title="AIMMS">AIMMS</a></li> <li><a href="/wiki/AMPL" title="AMPL">AMPL</a></li> <li><a href="/wiki/APMonitor" title="APMonitor">APMonitor</a></li> <li><a href="/wiki/ECLiPSe" title="ECLiPSe">ECLiPSe</a>-CLP</li> <li><a href="/wiki/Gekko_(optimization_software)" title="Gekko (optimization software)">Gekko</a></li> <li><a href="/wiki/General_Algebraic_Modeling_System" class="mw-redirect" title="General Algebraic Modeling System">GAMS</a></li> <li><a href="/wiki/GNU_Linear_Programming_Kit" title="GNU Linear Programming Kit">GNU MathProg</a></li> <li><a class="mw-selflink selflink">JuMP</a></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a></li> <li><a href="/wiki/CPLEX" title="CPLEX">OPL</a></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MiniZinc" title="MiniZinc">MiniZinc</a></li> <li><a href="/wiki/OptimJ" title="OptimJ">OptimJ</a></li> <li><a href="/wiki/COIN-OR#PuLP" title="COIN-OR">PuLP</a></li> <li><a href="/wiki/Pyomo" title="Pyomo">Pyomo</a></li> <li><a href="/wiki/TOMLAB" title="TOMLAB">TOMLAB</a></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Mosel</a></li> <li><a href="/wiki/SCIP_(optimization_software)#SCIP_Optimization_Suite" class="mw-redirect" title="SCIP (optimization software)">ZIMPL</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;vertical-align:top;"><a href="/wiki/Solver" title="Solver">Solvers</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Linear_programming" title="Linear programming">LP</a>, <a href="/wiki/Linear_programming#Integer_unknowns" title="Linear programming">MILP</a><sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/APOPT" title="APOPT">APOPT</a><sup>∗</sup></li> <li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a><sup>∗</sup></li> <li><a href="/wiki/Artelys_Knitro" title="Artelys Knitro">Artelys Knitro</a><sup>∗</sup></li> <li><a href="/wiki/COIN-OR" title="COIN-OR">BCP</a><sup>∗</sup></li> <li><a href="/wiki/COIN-OR#CLP" title="COIN-OR">CLP</a></li> <li><a href="/wiki/COIN-OR#CBC" title="COIN-OR">CBC</a><sup>∗</sup></li> <li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a><sup>∗</sup></li> <li><a href="/wiki/FortMP" title="FortMP">FortMP</a><sup>∗</sup></li> <li><a href="/wiki/SCIP_(optimization_software)#SCIP_Optimization_Suite" class="mw-redirect" title="SCIP (optimization software)">GCG</a><sup>∗</sup></li> <li><a href="/wiki/GLOP" title="GLOP">GLOP</a><sup>∗</sup></li> <li><a href="/wiki/GNU_Linear_Programming_Kit" title="GNU Linear Programming Kit">GLPK/GLPSOL</a><sup>∗</sup></li> <li><a href="/wiki/Gurobi_Optimizer" title="Gurobi Optimizer">Gurobi Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/HiGHS_optimization_solver" title="HiGHS optimization solver">HiGHS</a><sup>∗</sup></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a><sup>∗</sup></li> <li><a href="/wiki/Lp_solve" title="Lp solve">Lp_solve</a></li> <li><a href="/wiki/Robert_J._Vanderbei" title="Robert J. Vanderbei">LOQO</a></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MINOS_(optimization_software)" title="MINOS (optimization software)">MINOS</a></li> <li><a href="/wiki/MINTO" title="MINTO">MINTO</a><sup>∗</sup></li> <li><a href="/wiki/MOSEK" title="MOSEK">MOSEK</a><sup>∗</sup></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a><sup>∗</sup></li> <li><a href="/wiki/SCIP_(optimization_software)#SCIP_Optimization_Suite" class="mw-redirect" title="SCIP (optimization software)">SoPlex</a></li> <li><a href="/wiki/Octeract_Engine" title="Octeract Engine">Octeract Engine</a><sup>∗</sup></li> <li><a href="/wiki/COIN-OR#SYMPHONY" title="COIN-OR">SYMPHONY</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Optimizer</a><sup>∗</sup></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quadratic_programming" title="Quadratic programming">QP</a>, MIQP<sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/APOPT" title="APOPT">APOPT</a><sup>∗</sup></li> <li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a><sup>∗</sup></li> <li><a href="/wiki/Artelys_Knitro" title="Artelys Knitro">Artelys Knitro</a><sup>∗</sup></li> <li><a href="/wiki/COIN-OR#CBC" title="COIN-OR">CBC</a><sup>∗</sup></li> <li><a href="/wiki/COIN-OR#CLP" title="COIN-OR">CLP</a></li> <li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a><sup>∗</sup></li> <li><a href="/wiki/FortMP" title="FortMP">FortMP</a><sup>∗</sup></li> <li><a href="/wiki/HiGHS_optimization_solver" title="HiGHS optimization solver">HiGHS</a></li> <li><a href="/wiki/Gurobi_Optimizer" title="Gurobi Optimizer">Gurobi Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/IPOPT" title="IPOPT">IPOPT</a></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a><sup>∗</sup></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MINOS_(optimization_software)" title="MINOS (optimization software)">MINOS</a></li> <li><a href="/wiki/MOSEK" title="MOSEK">MOSEK</a><sup>∗</sup></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li> <li><a href="/wiki/Octeract_Engine" title="Octeract Engine">Octeract Engine</a><sup>∗</sup></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Optimizer</a><sup>∗</sup></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quadratically_constrained_quadratic_program" title="Quadratically constrained quadratic program">QCP</a>, MIQCP<sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/APOPT" title="APOPT">APOPT</a><sup>∗</sup></li> <li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a><sup>∗</sup></li> <li><a href="/wiki/Artelys_Knitro" title="Artelys Knitro">Artelys Knitro</a><sup>∗</sup></li> <li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a><sup>∗</sup></li> <li><a href="/wiki/Gurobi_Optimizer" title="Gurobi Optimizer">Gurobi Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/IPOPT" title="IPOPT">IPOPT</a></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a><sup>∗</sup></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MINOS_(optimization_software)" title="MINOS (optimization software)">MINOS</a></li> <li><a href="/wiki/MOSEK" title="MOSEK">MOSEK</a><sup>∗</sup></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a><sup>∗</sup></li> <li><a href="/wiki/Octeract_Engine" title="Octeract Engine">Octeract Engine</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress NonLinear</a><sup>∗</sup></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Second-order_cone_programming" title="Second-order cone programming">SOCP</a>, MISOCP<sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Artelys_Knitro" title="Artelys Knitro">Artelys Knitro</a><sup>∗</sup></li> <li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a><sup>∗</sup></li> <li><a href="/wiki/Gurobi_Optimizer" title="Gurobi Optimizer">Gurobi Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a><sup>∗</sup></li> <li><a href="/wiki/Robert_J._Vanderbei" title="Robert J. Vanderbei">LOQO</a></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MOSEK" title="MOSEK">MOSEK</a><sup>∗</sup></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Optimizer</a><sup>∗</sup></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Semidefinite_programming" title="Semidefinite programming">SDP</a>, MISDP<sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/MOSEK" title="MOSEK">MOSEK</a></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Nonlinear_programming" title="Nonlinear programming">NLP</a>, MINLP<sup style="font-weight:normal;">∗</sup></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/AIMMS_Outer_Approximation_(optimization_software)" class="mw-redirect" title="AIMMS Outer Approximation (optimization software)">AOA</a><sup>∗</sup></li> <li><a href="/wiki/APOPT" title="APOPT">APOPT</a><sup>∗</sup></li> <li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a><sup>∗</sup></li> <li><a href="/wiki/Artelys_Knitro" title="Artelys Knitro">Artelys Knitro</a><sup>∗</sup></li> <li><a href="/wiki/BARON" title="BARON">BARON</a><sup>∗</sup></li> <li><a href="/wiki/Couenne" title="Couenne">Couenne</a><sup>∗</sup></li> <li><a href="/wiki/Galahad_library" title="Galahad library">Galahad library</a></li> <li><a href="/wiki/Gurobi_Optimizer" title="Gurobi Optimizer">Gurobi Optimizer</a><sup>∗</sup></li> <li><a href="/wiki/IPOPT" title="IPOPT">IPOPT</a></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a><sup>∗</sup></li> <li><a href="/wiki/Robert_J._Vanderbei" title="Robert J. Vanderbei">LOQO</a></li> <li><a href="/wiki/MIDACO" title="MIDACO">MIDACO</a><sup>∗</sup></li> <li><a href="/wiki/MINOS_(optimization_software)" title="MINOS (optimization software)">MINOS</a></li> <li><a href="/wiki/Numerical_Algorithms_Group" class="mw-redirect" title="Numerical Algorithms Group">NAG</a></li> <li><a href="/wiki/NLPQLP" title="NLPQLP">NLPQLP</a></li> <li><a href="/wiki/NPSOL" title="NPSOL">NPSOL</a></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a><sup>∗</sup></li> <li><a href="/wiki/SNOPT" title="SNOPT">SNOPT</a><sup>∗</sup></li> <li><a href="/wiki/Octeract_Engine" title="Octeract Engine">Octeract Engine</a><sup>∗</sup></li> <li><a href="/wiki/WORHP" title="WORHP">WORHP</a></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress NonLinear</a><sup>∗</sup></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Global_optimization" title="Global optimization">GO</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a><sup>∗</sup></li> <li><a href="/wiki/BARON" title="BARON">BARON</a></li> <li><a href="/wiki/Couenne" title="Couenne">Couenne</a><sup>∗</sup></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Global</a></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/LINDO" title="LINDO">LINDO</a></li> <li><a href="/wiki/SCIP_(optimization_software)" class="mw-redirect" title="SCIP (optimization software)">SCIP</a></li> <li><a href="/wiki/Octeract_Engine" title="Octeract Engine">Octeract Engine</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Constraint_programming" title="Constraint programming">CP</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Artelys Kalis</li> <li>Comet</li> <li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a> CP Optimizer</li> <li><a href="/wiki/Gecode" title="Gecode">Gecode</a></li> <li><a href="/wiki/Mathematica" class="mw-redirect" title="Mathematica">Mathematica</a></li> <li><a href="/wiki/JaCoP_(solver)" title="JaCoP (solver)">JaCoP</a></li> <li><a href="/wiki/FICO_Xpress" title="FICO Xpress">Xpress Kalis</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><b><a href="/wiki/List_of_optimization_software" title="List of optimization software">List of optimization software</a></b></li> <li><b><a href="/wiki/Comparison_of_optimization_software" title="Comparison of optimization software">Comparison of optimization software</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" 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title="Mathematical modelling of infectious disease">Infectious disease model</a></li> <li><a href="/wiki/Metabolic_network_modelling" title="Metabolic network modelling">Metabolic network modelling</a></li> <li><a href="/wiki/Modelling_biological_systems" title="Modelling biological systems">Modelling biological systems</a></li> <li><a href="/wiki/Protein_structure_prediction" title="Protein structure prediction">Protein structure prediction</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Environmental</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Atmospheric_model" title="Atmospheric model">Atmospheric model</a></li> <li><a href="/wiki/Chemical_transport_model" title="Chemical transport model">Chemical transport model</a></li> <li><a href="/wiki/Climate_model" title="Climate model">Climate model</a></li> <li><a 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modelling">Integrated assessment modelling</a></li> <li><a href="/wiki/Population_model" title="Population model">Population model</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Social</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biopsychosocial_model" title="Biopsychosocial model">Biopsychosocial model</a></li> <li><a href="/wiki/Business_process_modelling" class="mw-redirect" title="Business process modelling">Business process modelling</a></li> <li><a href="/wiki/Catastrophe_modeling" title="Catastrophe modeling">Catastrophe modeling</a></li> <li><a href="/wiki/Construction_and_management_simulation" title="Construction and management simulation">Construction and management simulation</a></li> <li><a href="/wiki/Crime_mapping" title="Crime mapping">Crime mapping</a></li> <li><a href="/wiki/Economic_model" title="Economic model">Economic 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</div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Free_and_open-source_software510" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:FOSS" title="Template:FOSS"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:FOSS" title="Template talk:FOSS"><abbr title="Discuss this 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href="/wiki/Comparison_of_source-code-hosting_facilities" title="Comparison of source-code-hosting facilities">Comparison of source-code-hosting facilities</a></li> <li><a href="/wiki/Free_software" title="Free software">Free software</a></li> <li><a href="/wiki/List_of_free_software_project_directories" title="List of free software project directories">Free software project directories</a></li> <li><a href="/wiki/Gratis_versus_libre" title="Gratis versus libre">Gratis versus libre</a></li> <li><a href="/wiki/Long-term_support" title="Long-term support">Long-term support</a></li> <li><a href="/wiki/Open-source_software" title="Open-source software">Open-source software</a></li> <li><a href="/wiki/Open-source_software_development" title="Open-source software development">Open-source software development</a></li> <li><a href="/wiki/Outline_of_free_software" title="Outline of free software">Outline</a></li> <li><a href="/wiki/Timeline_of_free_and_open-source_software" title="Timeline of free and open-source software">Timeline</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_free_and_open-source_software_packages" title="List of free and open-source software packages">Software<br />packages</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Comparison_of_free_software_for_audio" title="Comparison of free software for audio">Audio</a></li> <li><a href="/wiki/List_of_open-source_bioinformatics_software" title="List of open-source bioinformatics software">Bioinformatics</a></li> <li><a href="/wiki/List_of_open-source_codecs" title="List of open-source codecs">Codecs</a></li> <li><a href="/wiki/Comparison_of_open-source_configuration_management_software" title="Comparison of open-source configuration management software">Configuration management</a></li> <li><a href="/wiki/Device_driver" title="Device driver">Drivers</a> <ul><li><a href="/wiki/Free_and_open-source_graphics_device_driver" title="Free and open-source graphics device driver">Graphics</a></li> <li><a href="/wiki/Comparison_of_open-source_wireless_drivers" title="Comparison of open-source wireless drivers">Wireless</a></li></ul></li> <li><a href="/wiki/List_of_open-source_health_software" title="List of open-source health software">Health</a></li> <li><a href="/wiki/List_of_open-source_software_for_mathematics" title="List of open-source software for mathematics">Mathematics</a></li> <li><a href="/wiki/List_of_office_suites" title="List of office suites">Office suites</a></li> <li><a href="/wiki/Comparison_of_open-source_operating_systems" title="Comparison of open-source operating systems">Operating systems</a></li> <li><a href="/wiki/List_of_open-source_routing_platforms" title="List of open-source routing platforms">Routing</a></li> <li><a href="/wiki/List_of_free_television_software" title="List of free television software">Television</a></li> <li><a href="/wiki/List_of_open-source_video_games" title="List of open-source video games">Video games</a></li> <li><a href="/wiki/List_of_free_and_open-source_web_applications" title="List of free and open-source web applications">Web applications</a> <ul><li><a href="/wiki/Comparison_of_shopping_cart_software" title="Comparison of shopping cart software">E-commerce</a></li></ul></li> <li><a href="/wiki/List_of_free_and_open-source_Android_applications" title="List of free and open-source Android applications">Android apps</a></li> <li><a href="/wiki/List_of_free_and_open-source_iOS_applications" title="List of free and open-source iOS applications">iOS apps</a></li> <li><a href="/wiki/List_of_commercial_open-source_applications_and_services" title="List of commercial open-source applications and services">Commercial</a></li> <li><a href="/wiki/List_of_formerly_proprietary_software" title="List of formerly proprietary software">Formerly proprietary</a></li> <li><a href="/wiki/List_of_formerly_free_and_open-source_software" class="mw-redirect" title="List of formerly free and open-source software">Formerly open-source</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Community_of_practice" title="Community of practice">Community</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Free_software_movement" title="Free software movement">Free software movement</a></li> <li><a href="/wiki/History_of_free_and_open-source_software" title="History of free and open-source software">History</a></li> <li><a href="/wiki/Open-source-software_movement" class="mw-redirect" title="Open-source-software movement">Open-source-software movement</a></li> <li><a href="/wiki/List_of_free-software_events" title="List of free-software events">Events</a></li> <li><a href="/wiki/Open-source_software_advocacy" title="Open-source software advocacy">Advocacy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_free_and_open-source_software_organizations" title="List of free and open-source software organizations">Organisations</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Free_Software_Movement_of_India" title="Free Software Movement of India">Free Software Movement of India</a></li> <li><a href="/wiki/Free_Software_Foundation" title="Free Software Foundation">Free Software Foundation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Free-software_license" title="Free-software license">Licenses</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Academic_Free_License" title="Academic Free License">AFL</a></li> <li><a href="/wiki/Apache_License" title="Apache License">Apache</a></li> <li><a href="/wiki/Apple_Public_Source_License" title="Apple Public Source License">APSL</a></li> <li><a href="/wiki/Artistic_License" title="Artistic License">Artistic</a></li> <li><a href="/wiki/Beerware" title="Beerware">Beerware</a></li> <li><a href="/wiki/BSD_licenses" title="BSD licenses">BSD</a></li> <li><a href="/wiki/Creative_Commons_license" title="Creative Commons license">Creative Commons</a></li> <li><a href="/wiki/Common_Development_and_Distribution_License" title="Common Development and Distribution License">CDDL</a></li> <li><a href="/wiki/Eclipse_Public_License" title="Eclipse Public License">EPL</a></li> <li><a href="/wiki/Free_Software_Foundation" title="Free Software Foundation">Free Software Foundation</a> <ul><li><a href="/wiki/GNU_General_Public_License" title="GNU General Public License">GNU GPL</a></li> <li><a href="/wiki/GNU_Affero_General_Public_License" title="GNU Affero General Public License">GNU AGPL</a></li> <li><a href="/wiki/GNU_Lesser_General_Public_License" title="GNU Lesser General Public License">GNU LGPL</a></li></ul></li> <li><a href="/wiki/ISC_license" title="ISC license">ISC</a></li> <li><a href="/wiki/MIT_License" title="MIT License">MIT</a></li> <li><a href="/wiki/Mozilla_Public_License" title="Mozilla Public License">MPL</a></li> <li><a href="/wiki/Python_License" title="Python License">Python</a></li> <li><a href="/wiki/Python_Software_Foundation_License" title="Python Software Foundation License">Python Software Foundation License</a></li> <li><a href="/wiki/Shared_Source_Initiative" title="Shared Source Initiative">Shared Source Initiative</a></li> <li><a href="/wiki/Sleepycat_License" class="mw-redirect" title="Sleepycat License">Sleepycat</a></li> <li><a href="/wiki/Unlicense" title="Unlicense">Unlicense</a></li> <li><a href="/wiki/WTFPL" title="WTFPL">WTFPL</a></li> <li><a href="/wiki/Zlib_License" title="Zlib License">zlib</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Types_and_standards23" scope="row" class="navbox-group" style="width:1%">Types and<br /> standards</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Comparison_of_free_and_open-source_software_licenses" title="Comparison of free and open-source software licenses">Comparison of licenses</a></li> <li><a href="/wiki/Contributor_License_Agreement" title="Contributor License Agreement">Contributor License Agreement</a></li> <li><a href="/wiki/Copyleft" title="Copyleft">Copyleft</a></li> <li><a href="/wiki/Debian_Free_Software_Guidelines" class="mw-redirect" title="Debian Free Software Guidelines">Debian Free Software Guidelines</a></li> <li><a href="/wiki/Definition_of_Free_Cultural_Works" title="Definition of Free Cultural Works">Definition of Free Cultural Works</a></li> <li><a href="/wiki/Free_license" title="Free license">Free license</a></li> <li><a href="/wiki/The_Free_Software_Definition" title="The Free Software Definition">The Free Software Definition</a></li> <li><a href="/wiki/The_Open_Source_Definition" title="The Open Source Definition">The Open Source Definition</a></li> <li><a href="/wiki/Open-source_license" title="Open-source license">Open-source license</a></li> <li><a href="/wiki/Permissive_software_license" title="Permissive software license">Permissive software license</a></li> <li><a href="/wiki/Public_domain" title="Public domain">Public domain</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Challenges</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Digital_rights_management" title="Digital rights 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