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<li id="toc-Features" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Features"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Features</span> </div> </a> <ul id="toc-Features-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-File_formats" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#File_formats"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>File formats</span> </div> </a> <ul id="toc-File_formats-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Interfaces" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Interfaces"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Interfaces</span> </div> </a> <ul id="toc-Interfaces-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" 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article <b>contains <a href="/wiki/Wikipedia:What_Wikipedia_is_not#Wikipedia_is_not_a_soapbox_or_means_of_promotion" title="Wikipedia:What Wikipedia is not">promotional content</a></b>.<span class="hide-when-compact"> Please help <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Octeract_Engine&action=edit">improve it</a> by removing <a href="/wiki/Wikipedia:Spam" title="Wikipedia:Spam">promotional language</a> and inappropriate <a href="/wiki/Wikipedia:External_links#Advertising_and_conflicts_of_interest" title="Wikipedia:External links">external links</a>, and by adding encyclopedic text written from a <a href="/wiki/Wikipedia:Neutral_point_of_view" title="Wikipedia:Neutral point of view">neutral point of view</a>.</span> <span class="date-container"><i>(<span class="date">September 2023</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) 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">Octeract Engine</caption><tbody><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Programmer" title="Programmer">Developer(s)</a></th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://octeract.gg/">Octeract</a></span></td></tr><tr style="display: none;"><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;">4.7.1 </div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_categories#Categorization_approaches" title="Software categories">Type</a></th><td class="infobox-data"><a href="/wiki/List_of_numerical_analysis_software" class="mw-redirect" title="List of numerical analysis software">Technical computing</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_license" title="Software license">License</a></th><td class="infobox-data"><a href="/wiki/Subscription" class="mw-redirect" title="Subscription">Subscription</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://octeract.gg/">octeract<wbr />.gg</a></span></td></tr></tbody></table> <p><b>Octeract Engine</b> is a proprietary <a href="/wiki/Massively_parallel" title="Massively parallel">massively parallel</a> <a href="/wiki/Deterministic_global_optimization" title="Deterministic global optimization">deterministic global optimization</a> solver for general Mixed-Integer Nonlinear Programs (MINLP). </p><p>The solver is designed to work in parallel on a distributed environment. It is optimized for succeeding in synthetic benchmark sets.<sup id="cite_ref-MINLPLIB_1-0" class="reference"><a href="#cite_note-MINLPLIB-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The latest world records were set in April 2023, when it became the first optimization solver to ever solve all problems in the benchmark, with a world record setting unscaled shifted geometric mean of 36.8.<sup id="cite_ref-minlplib_apr_2023_2-0" class="reference"><a href="#cite_note-minlplib_apr_2023-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <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=Octeract_Engine&action=edit&section=1" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Octeract Engine was developed by Nikos Kazazakis and Gabriel Lau.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> The first public beta version of Octeract Engine was released in August 2019, and it came out of beta in August 2020. </p> <div class="mw-heading mw-heading2"><h2 id="Performance">Performance</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Octeract_Engine&action=edit&section=2" title="Edit section: Performance"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On 23 July 2022 it ranked first on the single thread Mittelmann MINLPLIB benchmark.<sup id="cite_ref-minlplib_jul_2022_4-0" class="reference"><a href="#cite_note-minlplib_jul_2022-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> This lead has been maintained for all releases of Octeract Engine hence. </p><p>As of August 2022 it is the first and only solver to solve the largest open transmission switching problems in the industry standard MINLPLIB<sup id="cite_ref-MINLPLIB_1-1" class="reference"><a href="#cite_note-MINLPLIB-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> library, namely transswitch2736spp<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> and transswitch2736spr.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="World_records">World records</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Octeract_Engine&action=edit&section=3" title="Edit section: World records"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Octeract Engine currently holds two world records in MINLP benchmarks.<sup id="cite_ref-minlplib_apr_2023_2-1" class="reference"><a href="#cite_note-minlplib_apr_2023-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> The first world record, set on 20 April 2023, is in number of problems solved (100%). The second world record, also set on 20 April 2023, is the smallest unscaled shifted geometric mean<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> ever achieved for this test set, which was 36.8. The runner-ups achieved means of 138.2 (<a href="/wiki/BARON" title="BARON">BARON</a>) and 380.5 (SCIP), with <a href="/wiki/Couenne" title="Couenne">Couenne</a> ranking last with a mean of 3304.4. </p> <div class="mw-heading mw-heading4"><h4 id="World_record_history">World record history</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Octeract_Engine&action=edit&section=4" title="Edit section: World record history"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On 27 October 2022 Octeract Engine set its first world record by solving more 91% of problems in the benchmark, which was more than any solver had ever been able to solve by that time. This record has yet to be broken by any other solver as of 21 April 2023. </p><p>In January 2023, it became the first solver to solve 99% of problems in this benchmark. </p><p>In April 2023, it became the first solver to solve 100% of problems in this benchmark. </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:BenchmarkJuly.png" class="mw-file-description" title="MINLPLIB Benchmark results July 2022"><img alt="MINLPLIB Benchmark results July 2022" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/BenchmarkJuly.png/120px-BenchmarkJuly.png" decoding="async" width="120" height="72" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/BenchmarkJuly.png/180px-BenchmarkJuly.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/db/BenchmarkJuly.png/240px-BenchmarkJuly.png 2x" data-file-width="1087" data-file-height="648" /></a></span></div> <div class="gallerytext">MINLPLIB Benchmark results July 2022</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:BenchmarkOct27.png" class="mw-file-description" title="MINLPLIB Benchmark results October 2022"><img alt="MINLPLIB Benchmark results October 2022" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/BenchmarkOct27.png/120px-BenchmarkOct27.png" decoding="async" width="120" height="87" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/BenchmarkOct27.png/180px-BenchmarkOct27.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/74/BenchmarkOct27.png/240px-BenchmarkOct27.png 2x" data-file-width="846" data-file-height="613" /></a></span></div> <div class="gallerytext">MINLPLIB Benchmark results October 2022</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:MINLPLIB_benchmark_Jan_2023.png" class="mw-file-description" title="MINLPLIB Benchmark results January 2023"><img alt="MINLPLIB Benchmark results January 2023" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/MINLPLIB_benchmark_Jan_2023.png/120px-MINLPLIB_benchmark_Jan_2023.png" decoding="async" width="120" height="78" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/MINLPLIB_benchmark_Jan_2023.png/180px-MINLPLIB_benchmark_Jan_2023.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/dd/MINLPLIB_benchmark_Jan_2023.png/240px-MINLPLIB_benchmark_Jan_2023.png 2x" data-file-width="825" data-file-height="537" /></a></span></div> <div class="gallerytext">MINLPLIB Benchmark results January 2023</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Minlplib_apr_2023.png" class="mw-file-description" title="MINLPLIB Benchmark results April 2023"><img alt="MINLPLIB Benchmark results April 2023" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Minlplib_apr_2023.png/120px-Minlplib_apr_2023.png" decoding="async" width="120" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/Minlplib_apr_2023.png/180px-Minlplib_apr_2023.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/Minlplib_apr_2023.png/240px-Minlplib_apr_2023.png 2x" data-file-width="859" data-file-height="553" /></a></span></div> <div class="gallerytext">MINLPLIB Benchmark results April 2023</div> </li> </ul> <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=Octeract_Engine&action=edit&section=5" title="Edit section: Features"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Octeract Engine is a suite of numerous solvers and techniques which are invoked automatically, or at the user's discretion. It features parallel branch-and-bound solvers, numerous local heuristics which can be invoked independently of global optimization, as well as numerous specialized techniques to exploit special structure, such as the Sherali-Smith reformulation.<sup id="cite_ref-bqp_documentation_8-0" class="reference"><a href="#cite_note-bqp_documentation-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-sherali_paper_9-0" class="reference"><a href="#cite_note-sherali_paper-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-documentation_10-0" class="reference"><a href="#cite_note-documentation-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>Other notable features include: <sup id="cite_ref-documentation_10-1" class="reference"><a href="#cite_note-documentation-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Distributed computing through <a href="/wiki/Message_Passing_Interface" title="Message Passing Interface">MPI</a></li> <li>High degree of configurability with more than 100 options</li> <li>Supports discontinuous elementary functions (e.g. <span class="texhtml"> min</span> and <span class="texhtml"> max</span>)</li> <li>Supports trigonometric functions</li> <li>Can guarantee global optimality</li> <li>Reformulation of user input</li> <li>Detection of special structure</li> <li>Automatic problem classification</li> <li>Guaranteed calculations through <a href="/wiki/Interval_arithmetic" title="Interval arithmetic">interval arithmetic</a> and <a href="/wiki/Arbitrary-precision_arithmetic" title="Arbitrary-precision arithmetic">arbitrary-precision arithmetic</a></li> <li>Powerful local solver capabilities through its LOCAL_SEARCH <sup id="cite_ref-local_search_11-0" class="reference"><a href="#cite_note-local_search-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> mode</li></ul> <div class="mw-heading mw-heading2"><h2 id="File_formats">File formats</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Octeract_Engine&action=edit&section=6" title="Edit section: File formats"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Octeract Engine can read and write <code>.nl</code>, <code>.lp</code> and <code>.mps</code> files. </p> <div class="mw-heading mw-heading2"><h2 id="Interfaces">Interfaces</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Octeract_Engine&action=edit&section=7" title="Edit section: Interfaces"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Octeract Engine can be run directly or invoked as a C++ library. It supports the following modelling languages:<sup id="cite_ref-documentation_10-2" class="reference"><a href="#cite_note-documentation-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <ul><li><a href="/wiki/AMPL" title="AMPL">AMPL</a></li> <li><a href="/wiki/AMPL#Availability" title="AMPL">ASL</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/JuMP" title="JuMP">JuMP</a></li> <li><a href="/wiki/Pyomo" title="Pyomo">Pyomo</a></li></ul> <p>The engine also interfaces to the following solvers: </p> <ul><li><a href="/wiki/CPLEX" title="CPLEX">CPLEX</a></li> <li><a href="/wiki/COIN-OR#CBC" title="COIN-OR">CBC</a></li> <li><a href="/wiki/COIN-OR_CLP" class="mw-redirect" title="COIN-OR CLP">CLP</a></li> <li><a href="/wiki/IPOPT" title="IPOPT">IPOPT</a></li></ul> <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=Octeract_Engine&action=edit&section=8" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/ANTIGONE" title="ANTIGONE">ANTIGONE</a></li> <li><a href="/wiki/BARON" title="BARON">BARON</a></li> <li><a href="/wiki/Couenne" title="Couenne">Couenne</a></li> <li><a href="/wiki/AMPL" title="AMPL">AMPL</a></li> <li><a href="/wiki/General_Algebraic_Modeling_System" class="mw-redirect" title="General Algebraic Modeling System">GAMS</a></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=Octeract_Engine&action=edit&section=9" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style 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(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 href="/wiki/JuMP" title="JuMP">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 class="mw-selflink selflink">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 class="mw-selflink selflink">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 class="mw-selflink selflink">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 class="mw-selflink selflink">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/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 class="mw-selflink selflink">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><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Octeract_Engine&oldid=1248981106">https://en.wikipedia.org/w/index.php?title=Octeract_Engine&oldid=1248981106</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Category</a>: <ul><li><a href="/wiki/Category:Mathematical_optimization_software" title="Category:Mathematical optimization software">Mathematical optimization software</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Articles_with_a_promotional_tone_from_September_2023" title="Category:Articles with a promotional tone from September 2023">Articles with a promotional tone from September 2023</a></li><li><a href="/wiki/Category:All_articles_with_a_promotional_tone" title="Category:All articles with a promotional tone">All articles with a promotional tone</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 2 October 2024, at 15:11<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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