The Two-Constraint Binary Knapsack Problem’s average case analysis for constraints with small, moderate and large coefficients

Abstract The paper addresses the Two-Constraint Binary Knapsack Problem. It is assumed that some of the problem coefficients are the realizations of mutually independent random variables. Asymptotic probabilistic properties of selected problem characteristics are investigated for special cases of Lagrange multipliers with small, moderate and mixed values.

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Publication Details

Journal
Control and Cybernetics
Published
2025-06-01
DOI
https://doi.org/10.2478/candc-2025-0007
Primary Topic
Point processes and geometric inequalities
Type
article
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article

The Two-Constraint Binary Knapsack Problem’s average case analysis for constraints with small, moderate and large coefficients

Krzysztof Szkatuła
Control and Cybernetics
Point processes and geometric inequalities
article

The Two-Constraint Binary Knapsack Problem’s average case analysis for constraints with small, moderate and large coefficients

Krzysztof Szkatuła
article en

Abstract

Abstract The paper addresses the Two-Constraint Binary Knapsack Problem. It is assumed that some of the problem coefficients are the realizations of mutually independent random variables. Asymptotic probabilistic properties of selected problem characteristics are investigated for special cases of Lagrange multipliers with small, moderate and mixed values.

Control and CyberneticsVol. 54(2)
Systems Research Institute (PL)
Reduced inequalities
Openalex Percentile: Top 25%
Point processes and geometric inequalities
DOIOpen Access PDFOpenAlex
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The Two-Constraint Binary Knapsack Problem’s average case analysis for constraints with small, moderate and large coefficients — Krzysztof Szkatuła · Control and Cybernetics (2025) | TGRS Research Map | TGRS