An effective dynamic programming algorithm for the minimum-cost maximal knapsack packing problem
Furini, Fabio; Ljubić, Ivana; Sinnl, Markus (2017), An effective dynamic programming algorithm for the minimum-cost maximal knapsack packing problem, European Journal of Operational Research, 262, 2, p. 438-448. 10.1016/j.ejor.2017.03.061
Type
Article accepté pour publication ou publiéDate
2017Journal name
European Journal of Operational ResearchVolume
262Number
2Publisher
Elsevier
Pages
438-448
Publication identifier
Metadata
Show full item recordAuthor(s)
Furini, FabioLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Ljubić, Ivana
Sinnl, Markus
Department of Statistics and Operations Research
Abstract (EN)
Given a set of items with profits and weights and a knapsack capacity, we study the problem of finding a maximal knapsack packing that minimizes the profit of the selected items. We propose an effective dynamic programming (DP) algorithm which has a pseudo-polynomial time complexity. We demonstrate the equivalence between this problem and the problem of finding a minimal knapsack cover that maximizes the profit of the selected items. In an extensive computational study on a large and diverse set of benchmark instances, we demonstrate that the new DP algorithm outperforms a state-of-the-art commercial mixed-integer programming (MIP) solver applied to the two best performing MIP models from the literature.Subjects / Keywords
Combinatorial optimization; Maximal knapsack packing; Minimal knapsack cover; Dynamic programming; Integer programmingRelated items
Showing items related by title and author.
-
Furini, Fabio; Ljubić, Ivana; Sinnl, Markus (2015) Communication / Conférence
-
San Segundo, Pablo; Coniglio, Stefano; Furini, Fabio; Ljubić, Ivana (2019) Article accepté pour publication ou publié
-
Cordeau, Jean-François; Furini, Fabio; Ljubić, Ivana (2019) Article accepté pour publication ou publié
-
Furini, Fabio; Ljubić, Ivana; Malaguti, Enrico; Paronuzzi, Paolo (2020) Article accepté pour publication ou publié
-
Dell’Amico, Mauro; Furini, Fabio; Iori, Manuel (2019) Article accepté pour publication ou publié