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The paper deals with the Two-Constraint Binary Knapsack Problem, the special case of Multi-Constraint Knapsack Problem. It is assumed that some of the problem coefficients are realizations of mutually independent random variables. Asymptotical probabilistic properties of selected problem characteristics are investigated for the special cases of the Lagrange multipliers.
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Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
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Click the link below to view the content.https://www.ibspan.waw.pl/~alex/OZwRCIN/WA777_113277_RB-2012-20_Special cases of the Lagrange multipliers in the probabilistic analysis of the Two-Constraint Binary Knapsack Problem_content.pdf