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integer linear programming

optimization of a linear function subject to a set of linear constraints over integer variables

en-GB/ˈɪntɪd͡ʒə ˈlɪnɪə ˈpɹəʊɡɹæmɪŋ/
en-US/ˈɪntəd͡ʒɚ ˈlɪniɚ ˈpɹoʊɡˌɹæmɪŋ/

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linear programming