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

• URL: http://arxiv.org/abs/2002.04850v1
• Date: Wed, 12 Feb 2020 09:00:29 GMT
• Title: The {0,1}-knapsack problem with qualitative levels
• Authors: Luca E. Sch\"afer, Tobias Dietz, Maria Barbati, Jos\'e Rui Figueira, Salvatore Greco, Stefan Ruzika
• Abstract summary: A variant of the classical knapsack problem is considered in which each item is associated with an integer weight and a qualitative level. We show that this relation defines a preorder. We propose a dynamic programming algorithm to compute the entire set of non-dominated rank cardinality vectors.
• Score: 2.0943517417159763
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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