A lexicographic pricer for the fractional bin packing problem
A lexicographic pricer for the fractional bin packing problem
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 number of columns and computing time, also when combined with a classical smoothing technique from the literature.
622-628
Coniglio, Stefano
03838248-2ce4-4dbc-a6f4-e010d6fdac67
D'Andreagiovanni, Fabio
07336a42-1df2-404c-a5d1-c6aecec03d3f
Furini, Fabio
9d210e3e-6af9-4ddd-8d38-1e7419896a45
November 2019
Coniglio, Stefano
03838248-2ce4-4dbc-a6f4-e010d6fdac67
D'Andreagiovanni, Fabio
07336a42-1df2-404c-a5d1-c6aecec03d3f
Furini, Fabio
9d210e3e-6af9-4ddd-8d38-1e7419896a45
Coniglio, Stefano, D'Andreagiovanni, Fabio and Furini, Fabio
(2019)
A lexicographic pricer for the fractional bin packing problem.
Operations Research Letters, 47 (6), .
(doi:10.1016/j.orl.2019.10.011).
Abstract
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 number of columns and computing time, also when combined with a classical smoothing technique from the literature.
Text
ORL_CDF
- Accepted Manuscript
More information
Accepted/In Press date: 23 October 2019
e-pub ahead of print date: 31 October 2019
Published date: November 2019
Identifiers
Local EPrints ID: 435220
URI: http://eprints.soton.ac.uk/id/eprint/435220
ISSN: 0167-6377
PURE UUID: 6b7ee547-0448-41a6-8154-31067101f609
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Date deposited: 28 Oct 2019 17:30
Last modified: 17 Mar 2024 03:40
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Contributors
Author:
Fabio D'Andreagiovanni
Author:
Fabio Furini
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