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A lexicographic pricer for the fractional bin packing problem

Coniglio, Stefano; D’Andreagiovanni, Fabio; Furini, Fabio (2019), A lexicographic pricer for the fractional bin packing problem, Operations Research Letters, 47, 6, p. 622-628. 10.1016/j.orl.2019.10.011

Type
Article accepté pour publication ou publié
Date
2019
Journal name
Operations Research Letters
Volume
47
Number
6
Publisher
Elsevier
Pages
622-628
Publication identifier
Metadata
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Author(s)
Coniglio, Stefano
University of Southampton - Mathematical Sciences
D’Andreagiovanni, Fabio cc
Heuristique et Diagnostic des Systèmes Complexes [Compiègne] [Heudiasyc]
Furini, Fabio
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
We propose an exact lexicographic dynamic programming pricing algorithm for solving the Fractional Bin Packing Problem with column generation. The new algorithm is designed for generating maximal columns of minimum reduced cost which maximize, lexicographically, one of the measures of maximality we investigate. Extensive computational experiments reveal that a column generation algorithm based on this pricing technique can achieve a substantial reduction in the number of columns and the computing time, also when combined with a classical smoothing technique from the literature.
Subjects / Keywords
Fractional bin packing problem; Column generation; Dynamic programming; Lexicographic optimization