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- W2003303695 abstract "The inverse {0,1}-knapsack problem consists of finding a minimal adjustment of the profit vector such that a given feasible set of items becomes an optimal solution. In this paper, two models are considered. In the first, the adjustment is measured by the Chebyshev norm. A pseudo-polynomial time algorithm is proposed to solve it. In the second, the adjustment is based on the Manhattan norm. This model is reduced to solve a linear integer program. While the first problem is proved to be co-NP-Complete, the second is co-NP-Hard and strong arguments are against its co-NP-Completeness. For both models, a bilevel linear integer programming formulation is also presented. Numerical results from computational experiments to assessing the feasibility of these approaches are reported." @default.
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- W2003303695 date "2013-05-01" @default.
- W2003303695 modified "2023-09-30" @default.
- W2003303695 title "The inverse<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si43.gif display=inline overflow=scroll><mml:mrow><mml:mo>{</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>}</mml:mo></mml:mrow></mml:math>-knapsack problem: Theory, algorithms and computational experiments" @default.
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- W2003303695 doi "https://doi.org/10.1016/j.disopt.2013.03.001" @default.
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