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arXiv · 2002.04850

The {0,1}-knapsack problem with qualitative levels

Luca E. Schäfer·Tobias Dietz·Maria Barbati·José Rui Figueira·Salvatore Greco·Stefan Ruzika
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Abstract

A variant of the classical knapsack problem is considered in which each item is associated with an integer weight and a qualitative level. We define a dominance relation over the feasible subsets of the given item set and show that this relation defines a preorder. We propose a dynamic programming algorithm to compute the entire set of non-dominated rank cardinality vectors and we state two greedy algorithms, which efficiently compute a single efficient solution.

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Luca E. Schäfer, Tobias Dietz, Maria Barbati, José Rui Figueira, Salvatore Greco, Stefan Ruzika. 2020-02-12. The {0,1}-knapsack problem with qualitative levels. https://arxiv.org/abs/2002.04850

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