@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q6042592 rdfs:label "برمجة الأعداد الصحيحة"@ar,
        "programació lineal entera"@ca,
        "Celočíselné programování"@cs,
        "Heltalsprogrammering"@da,
        "Ganzzahlige lineare Optimierung"@de,
        "integer programming"@en,
        "entjera lineara programo"@eo,
        "Programación en enteros"@es,
        "بهینهسازی خطی عدد صحیح"@fa,
        "optimisation linéaire en nombres entiers"@fr,
        "egészértékű programozás"@hu,
        "Pemrograman integer"@id,
        "整数計画問題"@ja,
        "정수 계획법"@ko,
        "Geheeltallige programmering"@nl,
        "Programação inteira"@pt,
        "optimizare liniară cu numere întregi"@ro,
        "целочисленное программирование"@ru,
        "Celočíselné programovanie"@sk,
        "celoštevilsko programiranje"@sl,
        "Целобројно програмирање"@sr,
        "цілочисельне програмування"@uk,
        "Quy hoạch số nguyên"@vi,
        "整数规划"@zh,
        "整数规划"@zh-cn,
        "整数规划问题"@zh-hans,
        "整數規劃問題"@zh-hant ;
    schema1:dateModified "2025-11-25T15:06:18+00:00"^^xsd:dateTime ;
    schema1:description "odvětví optimalizace"@cs,
        "mathematical optimization problem in which variables are restricted to be integers"@en,
        "problemă de optimizare liniară în care variabilele sunt restricționate la numere întregi"@ro ;
    schema1:version 2433850618 ;
    wikibase:identifiers 10 ;
    wikibase:sitelinks 20 ;
    wikibase:statements 24 ;
    skos:altLabel "ganzzahlige Optimierung"@de,
        "ILP"@en,
        "integer linear programming"@en,
        "Programacion en enteros"@es,
        "OLNE"@fr,
        "PLNE"@fr,
        "programmation linéaire en nombres entiers"@fr,
        "整数計画法"@ja,
        "整数规划问题"@zh,
        "整數規劃"@zh ;
    p:P10283 wds:Q6042592-11D11BAF-1D24-4069-AD97-BDB8D82B117C ;
    p:P10374 wds:Q6042592-EB3E4E89-4E00-4CCC-92D2-1ACF3397CA76 ;
    p:P1051 wds:Q6042592-C27A2651-C3B1-4064-960B-0A40B444FEB9 ;
    p:P1482 wds:Q6042592-9007dcae-4820-51a3-ab77-9a6292880ef6,
        wds:Q6042592-9f6d0541-4d5d-f471-a754-24378f3609f0,
        wds:Q6042592-D44058B4-5436-4217-B5AF-2711F07909A9,
        wds:Q6042592-a1b5240e-4caa-fdb6-e023-30c71a89fb31,
        wds:Q6042592-b13b7a12-495a-5887-adff-faa700b7749d ;
    p:P18 wds:Q6042592-1f01118d-4ae1-c1e7-280e-f9dae48cc88d ;
    p:P1813 wds:Q6042592-5b18ac53-44c1-e7e8-2a1d-ff3a355b0932,
        wds:Q6042592-e6816d09-4de8-7ba6-945f-ac4ddfda3608,
        wds:Q6042592-f2db7a3f-41b6-ce6c-7487-f62fbd3f872f ;
    p:P2534 wds:Q6042592-8E120641-6D05-41DE-85E0-A5089F6E759E ;
    p:P31 wds:Q6042592-c2638f49-41fb-9786-cecb-b10fe9be11fd ;
    p:P3417 wds:Q6042592-2E83BAB4-F636-480F-A459-9404F7DDCFE1 ;
    p:P3827 wds:Q6042592-2499F058-DB0E-4697-8636-5AA7A1DD4157 ;
    p:P3911 wds:Q6042592-DD1471C6-526E-40F7-AE1F-A6CA9C8BB3C4 ;
    p:P443 wds:Q6042592-a0ff9423-9a96-4c16-b247-c9a8f2d2ecf5 ;
    p:P6104 wds:Q6042592-C9F557E9-4189-40D3-B922-7115FEEE7A88 ;
    p:P6366 wds:Q6042592-CFE42B81-8232-4087-8B27-B347A0B8592A ;
    p:P646 wds:Q6042592-F0378F95-290F-4CBD-82C2-4003B0433707 ;
    p:P691 wds:Q6042592-36C3CEDC-277B-4F87-A799-0A2F8835442F ;
    p:P7554 wds:Q6042592-18a9fcc5-4cb4-5e3a-ae67-6e02919d6300 ;
    p:P8313 wds:Q6042592-DEE32A07-92C5-4ECD-9EBF-98AFE6B6C7F9 ;
    wdtn:P3911 <http://zbw.eu/stw/descriptor/15535-0> ;
    wdtn:P6366 <https://makg.org/entity/56086750> ;
    wdt:P10283 "C56086750" ;
    wdt:P10374 wd:Q215206 ;
    wdt:P1051 "11413" ;
    wdt:P1482 <https://cs.stackexchange.com/tags/integer-programming>,
        <https://cstheory.stackexchange.com/tags/integer-programming>,
        <https://math.stackexchange.com/tags/integer-programming>,
        <https://or.stackexchange.com/tags/integer-programming>,
        <https://stackoverflow.com/tags/integer-programming> ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/IP%20polytope%20with%20LP%20relaxation.svg> ;
    wdt:P1813 "ILP"@en,
        "OLNE"@fr,
        "ЦЛП"@ru ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munder><mi>max</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>𝐱</mi></mrow><mo stretchy=\"false\">&#x2208;</mo><msubsup><mrow data-mjx-texclass=\"ORD\"><mi>ℤ</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">+</mo></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msubsup><mo>,</mo><mspace width=\"0.278em\"></mspace><mi>A</mi><mrow data-mjx-texclass=\"ORD\"><mi>𝐱</mi></mrow><mo stretchy=\"false\">&#x2264;</mo><mrow data-mjx-texclass=\"ORD\"><mi>𝐛</mi></mrow></mrow></mrow></munder><msup><mrow data-mjx-texclass=\"ORD\"><mi>𝐜</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x22A4;</mi></mrow></msup><mrow data-mjx-texclass=\"ORD\"><mi>𝐱</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P31 wd:Q3435924 ;
    wdt:P3417 "Integer-Programming" ;
    wdt:P3827 "integer-programming" ;
    wdt:P3911 "15535-0" ;
    wdt:P443 <http://commons.wikimedia.org/wiki/Special:FilePath/LL-Q150%20%28fra%29-0x010C-optimisation%20lin%C3%A9aire%20en%20nombres%20entiers.wav> ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "56086750" ;
    wdt:P646 "/m/0661n8p" ;
    wdt:P691 "ph1061020" ;
    wdt:P7554 "Integer_programming" ;
    wdt:P8313 "heltalsprogrammering" .