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Tillgänglig på 55 språk" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-55" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">55 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D8%B3%D8%AA%D9%85%D8%AB%D8%A7%D9%84_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="استمثال (رياضيات) – arabiska" lang="ar" hreflang="ar" data-title="استمثال (رياضيات)" data-language-autonym="العربية" data-language-local-name="arabiska" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D5%88%D6%82%D5%BD%D5%B8%D5%B2%D5%A1%D5%AF%D5%A1%D5%B6_%D4%BE%D6%80%D5%A1%D5%A3%D6%80%D5%A1%D6%82%D5%B8%D6%80%D5%B8%D6%82%D5%B4" title="Ուսողական Ծրագրաւորում – Western Armenian" lang="hyw" hreflang="hyw" data-title="Ուսողական Ծրագրաւորում" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Optimalla%C5%9Fd%C4%B1rma" title="Optimallaşdırma – azerbajdzjanska" lang="az" hreflang="az" data-title="Optimallaşdırma" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdzjanska" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%BE%E0%A6%A3%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%95_%E0%A6%95%E0%A6%BE%E0%A6%AE%E0%A7%8D%E0%A6%AF%E0%A6%A4%E0%A6%AE%E0%A6%95%E0%A6%B0%E0%A6%A3" title="গাণিতিক কাম্যতমকরণ – bengali" lang="bn" hreflang="bn" data-title="গাণিতিক কাম্যতমকরণ" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9E%D0%BF%D1%82%D0%B8%D0%BC%D0%B0%D0%BB%D0%BB%D3%99%D1%88%D1%82%D0%B5%D1%80%D0%B5%D2%AF_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Оптималләштереү (математика) – basjkiriska" lang="ba" hreflang="ba" data-title="Оптималләштереү (математика)" data-language-autonym="Башҡортса" data-language-local-name="basjkiriska" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0_%D0%BE%D0%BF%D1%82%D0%B8%D0%BC%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F" title="Математическа оптимизация – bulgariska" lang="bg" hreflang="bg" data-title="Математическа оптимизация" data-language-autonym="Български" data-language-local-name="bulgariska" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Optimitzaci%C3%B3_matem%C3%A0tica" title="Optimització matemàtica – katalanska" lang="ca" hreflang="ca" data-title="Optimització matemàtica" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Optimalizace_(matematika)" title="Optimalizace (matematika) – tjeckiska" lang="cs" hreflang="cs" data-title="Optimalizace (matematika)" data-language-autonym="Čeština" data-language-local-name="tjeckiska" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Optimering_(matematik)" title="Optimering (matematik) – danska" lang="da" hreflang="da" data-title="Optimering (matematik)" data-language-autonym="Dansk" data-language-local-name="danska" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Mathematische_Optimierung" title="Mathematische Optimierung – tyska" lang="de" hreflang="de" data-title="Mathematische Optimierung" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%92%CE%B5%CE%BB%CF%84%CE%B9%CF%83%CF%84%CE%BF%CF%80%CE%BF%CE%AF%CE%B7%CF%83%CE%B7" title="Βελτιστοποίηση – grekiska" lang="el" hreflang="el" data-title="Βελτιστοποίηση" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematical_optimization" title="Mathematical optimization – engelska" lang="en" hreflang="en" data-title="Mathematical optimization" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Optimizaci%C3%B3n_(matem%C3%A1tica)" title="Optimización (matemática) – spanska" lang="es" hreflang="es" data-title="Optimización (matemática)" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Optimumigo_(matematiko)" title="Optimumigo (matematiko) – esperanto" lang="eo" hreflang="eo" data-title="Optimumigo (matematiko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Optimizazio_(matematika)" title="Optimizazio (matematika) – baskiska" lang="eu" hreflang="eu" data-title="Optimizazio (matematika)" data-language-autonym="Euskara" data-language-local-name="baskiska" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D9%87%DB%8C%D9%86%D9%87%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C" title="بهینه‌سازی – persiska" lang="fa" hreflang="fa" data-title="بهینه‌سازی" data-language-autonym="فارسی" data-language-local-name="persiska" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Optimisation_(math%C3%A9matiques)" title="Optimisation (mathématiques) – franska" lang="fr" hreflang="fr" data-title="Optimisation (mathématiques)" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Optimizaci%C3%B3n_matem%C3%A1tica" title="Optimización matemática – galiciska" lang="gl" hreflang="gl" data-title="Optimización matemática" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%88%98%ED%95%99%EC%A0%81_%EC%B5%9C%EC%A0%81%ED%99%94" title="수학적 최적화 – koreanska" lang="ko" hreflang="ko" data-title="수학적 최적화" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1%D5%AF%D5%A1%D5%B6_%D6%85%D5%BA%D5%BF%D5%AB%D5%B4%D5%AB%D5%A6%D5%A1%D6%81%D5%AB%D5%A1" title="Մաթեմատիկական օպտիմիզացիա – armeniska" lang="hy" hreflang="hy" data-title="Մաթեմատիկական օպտիմիզացիա" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%87%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%A4%E0%A4%AE%E0%A4%95%E0%A4%B0%E0%A4%A3" title="इष्टतमकरण – hindi" lang="hi" hreflang="hi" data-title="इष्टतमकरण" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Optimizacija_(matematika)" title="Optimizacija (matematika) – kroatiska" lang="hr" hreflang="hr" data-title="Optimizacija (matematika)" data-language-autonym="Hrvatski" data-language-local-name="kroatiska" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Optimisasi" title="Optimisasi – indonesiska" lang="id" hreflang="id" data-title="Optimisasi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Ottimizzazione_(matematica)" title="Ottimizzazione (matematica) – italienska" lang="it" hreflang="it" data-title="Ottimizzazione (matematica)" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%95%D7%A4%D7%98%D7%99%D7%9E%D7%99%D7%96%D7%A6%D7%99%D7%94_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="אופטימיזציה (מתמטיקה) – hebreiska" lang="he" hreflang="he" data-title="אופטימיזציה (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BE%D0%BF%D1%82%D0%B8%D0%BC%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F" title="Математикалық оптимизация – kazakiska" lang="kk" hreflang="kk" data-title="Математикалық оптимизация" data-language-autonym="Қазақша" data-language-local-name="kazakiska" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Optimizasyon_(mat%C3%A9matik)" title="Optimizasyon (matématik) – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Optimizasyon (matématik)" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%81%E0%BA%B2%E0%BA%99%E0%BA%8A%E0%BA%AD%E0%BA%81%E0%BA%84%E0%BB%88%E0%BA%B2%E0%BB%80%E0%BB%9D%E0%BA%B2%E0%BA%B0%E0%BA%AA%E0%BA%BB%E0%BA%A1_(%E0%BA%84%E0%BA%B0%E0%BA%99%E0%BA%B4%E0%BA%94%E0%BA%AA%E0%BA%B2%E0%BA%94)" title="ການຊອກຄ່າເໝາະສົມ (ຄະນິດສາດ) – laotiska" lang="lo" hreflang="lo" data-title="ການຊອກຄ່າເໝາະສົມ (ຄະນິດສາດ)" data-language-autonym="ລາວ" data-language-local-name="laotiska" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Optimizavimas_(matematika)" title="Optimizavimas (matematika) – litauiska" lang="lt" hreflang="lt" data-title="Optimizavimas (matematika)" data-language-autonym="Lietuvių" data-language-local-name="litauiska" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Matematikai_optimaliz%C3%A1l%C3%A1s" title="Matematikai optimalizálás – ungerska" lang="hu" hreflang="hu" data-title="Matematikai optimalizálás" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D0%BE%D0%BF%D1%82%D0%B8%D0%BC%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Математичка оптимизација – makedonska" lang="mk" hreflang="mk" data-title="Математичка оптимизација" data-language-autonym="Македонски" data-language-local-name="makedonska" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Pengoptimuman" title="Pengoptimuman – malajiska" lang="ms" hreflang="ms" data-title="Pengoptimuman" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiska" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskundige_optimalisatie" title="Wiskundige optimalisatie – nederländska" lang="nl" hreflang="nl" data-title="Wiskundige optimalisatie" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%95%B0%E7%90%86%E6%9C%80%E9%81%A9%E5%8C%96" title="数理最適化 – japanska" lang="ja" hreflang="ja" data-title="数理最適化" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Optimering" title="Optimering – norskt bokmål" lang="nb" hreflang="nb" data-title="Optimering" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Matematisk_programmering" title="Matematisk programmering – nynorska" lang="nn" hreflang="nn" data-title="Matematisk programmering" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Optymalizacja_(matematyka)" title="Optymalizacja (matematyka) – polska" lang="pl" hreflang="pl" data-title="Optymalizacja (matematyka)" data-language-autonym="Polski" data-language-local-name="polska" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Otimiza%C3%A7%C3%A3o" title="Otimização – portugisiska" lang="pt" hreflang="pt" data-title="Otimização" data-language-autonym="Português" data-language-local-name="portugisiska" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Optimizare" title="Optimizare – rumänska" lang="ro" hreflang="ro" data-title="Optimizare" data-language-autonym="Română" data-language-local-name="rumänska" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%BF%D1%82%D0%B8%D0%BC%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Оптимизация (математика) – ryska" lang="ru" hreflang="ru" data-title="Оптимизация (математика)" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Optimizimi_matematikor" title="Optimizimi matematikor – albanska" lang="sq" hreflang="sq" data-title="Optimizimi matematikor" data-language-autonym="Shqip" data-language-local-name="albanska" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mathematical_optimization" title="Mathematical optimization – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematical optimization" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Optimaliz%C3%A1cia_(matematika)" title="Optimalizácia (matematika) – slovakiska" lang="sk" hreflang="sk" data-title="Optimalizácia (matematika)" data-language-autonym="Slovenčina" data-language-local-name="slovakiska" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Optimizacija_(matematika)" title="Optimizacija (matematika) – slovenska" lang="sl" hreflang="sl" data-title="Optimizacija (matematika)" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9E%D0%BF%D1%82%D0%B8%D0%BC%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%98%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Оптимизација (математика) – serbiska" lang="sr" hreflang="sr" data-title="Оптимизација (математика)" data-language-autonym="Српски / srpski" data-language-local-name="serbiska" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Optimisasi_(matematik)" title="Optimisasi (matematik) – sundanesiska" lang="su" hreflang="su" data-title="Optimisasi (matematik)" data-language-autonym="Sunda" data-language-local-name="sundanesiska" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Matemaattinen_optimointi" title="Matemaattinen optimointi – finska" lang="fi" hreflang="fi" data-title="Matemaattinen optimointi" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Optimisasyong_matematikal" title="Optimisasyong matematikal – tagalog" lang="tl" hreflang="tl" data-title="Optimisasyong matematikal" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%AB%E0%B8%B2%E0%B8%84%E0%B9%88%E0%B8%B2%E0%B9%80%E0%B8%AB%E0%B8%A1%E0%B8%B2%E0%B8%B0%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94" title="การหาค่าเหมาะที่สุด – thailändska" lang="th" hreflang="th" data-title="การหาค่าเหมาะที่สุด" data-language-autonym="ไทย" data-language-local-name="thailändska" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Optimizasyon" title="Optimizasyon – turkiska" lang="tr" hreflang="tr" data-title="Optimizasyon" data-language-autonym="Türkçe" data-language-local-name="turkiska" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%BF%D1%82%D0%B8%D0%BC%D1%96%D0%B7%D0%B0%D1%86%D1%96%D1%8F_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Оптимізація (математика) – ukrainska" lang="uk" hreflang="uk" data-title="Оптимізація (математика)" data-language-autonym="Українська" data-language-local-name="ukrainska" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%DA%A9%D8%A7%D9%85%D9%84%DB%8C%D8%AA_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA)" title="کاملیت (ریاضیات) – urdu" lang="ur" hreflang="ur" data-title="کاملیت (ریاضیات)" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/T%E1%BB%91i_%C6%B0u_h%C3%B3a_(to%C3%A1n_h%E1%BB%8Dc)" title="Tối ưu hóa (toán học) – vietnamesiska" lang="vi" hreflang="vi" data-title="Tối ưu hóa (toán học)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesiska" class="interlanguage-link-target"><span>Tiếng 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<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Från Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><p><b>Optimeringslära</b>, <b>optimeringsteori</b> eller <b>optimering</b> (läs mer om <a href="/wiki/Optimering" title="Optimering">optimering</a> i allmän betydelse) är den matematiska lära som beskriver olika metoder för hur ett optimalt värde, det vill säga ett maximum eller ett minimum, kan erhållas ur en funktion givet vissa förutsättningar samt givet vissa restriktioner, så kallade <a href="/w/index.php?title=Bivillkor&action=edit&redlink=1" class="new" title="Bivillkor [inte skriven än]">bivillkor</a>. </p><p>Inom optimeringsläran används olika så kallade modeller, <a href="/wiki/Matematisk_programmering" title="Matematisk programmering">matematisk programmering</a>, för att ställa upp och lösa olika konkreta problem. Linjära optimeringsproblem behandlas med hjälp av <a href="/wiki/Linj%C3%A4rprogrammering" title="Linjärprogrammering">linjärprogrammering</a> (linjär-programmering som förkortas LP), icke-linjära optimeringsproblem med hjälp av <a href="/w/index.php?title=Icke-linj%C3%A4rprogrammering&action=edit&redlink=1" class="new" title="Icke-linjärprogrammering [inte skriven än]">icke-linjärprogrammering</a> (icke-linjär-programmering, förkortat NP av engelskans Non-linear Programming) och heltaliga optimeringsproblem med hjälp av <a href="/w/index.php?title=Heltalsprogrammering&action=edit&redlink=1" class="new" title="Heltalsprogrammering [inte skriven än]">heltalsprogrammering</a> (förkortat IP av engelskans Integer Programming). </p><p>Inom optimeringsområdet grafer och nätverk optimeras sådant som maximalflöden, minimikostnadsflöden, billigaste väg, billigaste uppspännande träd (exempelvis el‑nät) samt sådana problemkomplex som går under beteckningen <a href="/wiki/Handelsresandeproblemet" title="Handelsresandeproblemet">handelsresandeproblemet</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Se_även"><span id="Se_.C3.A4ven"></span>Se även</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&veaction=edit&section=1" title="Redigera avsnitt: Se även" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&action=edit&section=1" title="Redigera avsnitts källkod: Se även"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="tright portal" style="border:solid #aaa 1px; background:#f9f9f9; margin:0.5em 0 0.5em 0.5em; font-size:85%;"> <table style="background:transparent;" width="0"> <tbody><tr> <td><div style="position:relative; width:32px; height:28px; overflow:hidden"><div style="position:absolute; top:0px; left:0px; z-index:2;"> <span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Office-book.svg/30px-Office-book.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Office-book.svg/45px-Office-book.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Office-book.svg/60px-Office-book.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></div> </td> <td>Den här artikeln ingår i boken: <br /><i><b><a href="/wiki/Wikipedia:B%C3%B6cker/Matematik" title="Wikipedia:Böcker/Matematik">Matematik</a></b></i>  </td></tr></tbody></table></div> <ul><li><a href="/wiki/Kapps%C3%A4cksproblemet" title="Kappsäcksproblemet">Kappsäcksproblemet</a></li> <li><a href="/wiki/Optimering" title="Optimering">Optimering</a></li> <li><a href="/wiki/Optimeringsproblem" title="Optimeringsproblem">Optimeringsproblem</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&veaction=edit&section=2" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&action=edit&section=2" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Kaj Holmberg, <i>Kombinatorisk optimering med linjärprogrammering</i>, Matematiska Institutionen <a href="/wiki/Tekniska_h%C3%B6gskolan_vid_Link%C3%B6pings_universitet" title="Tekniska högskolan vid Linköpings universitet">Linköpings tekniska högskola</a>, 2006.</li> <li>Kaj Holmberg, <i>Optimering: metoder, modeller och teori för linjära, olinjära och kombinatoriska problem</i>, 2. uppl., Stockholm: Liber, 2018.</li> <li>Jan Lundgren, Mikael Rönnqvist & Peter Värbrand, <i>Optimeringslära</i>, 3. uppl., Lund: Studentlitteratur, 2008.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Externa_länkar"><span id="Externa_l.C3.A4nkar"></span>Externa länkar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&veaction=edit&section=3" title="Redigera avsnitt: Externa länkar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Optimeringsl%C3%A4ra&action=edit&section=3" title="Redigera avsnitts källkod: Externa länkar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" 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