On the trade-off between staff-decomposed and activity-decomposed column generation for a staff scheduling problem

Jeroen Beliën () and Erik Demeulemeester ()

Annals of Operations Research, 2007, vol. 155, issue 1, 143-166

Abstract: In this paper a comparison is made between two decomposition techniques to solve a staff scheduling problem with column generation. In the first approach, decomposition takes place on the staff members, whereas in the second approach decomposition takes place on the activities that have to be performed by the staff members. The resulting master LP is respectively a set partitioning problem and a capacitated multi-commodity flow problem. Both approaches have been implemented in a branch-and-price algorithm. We show a trade-off between modeling power and computation times of both techniques. Copyright Springer Science+Business Media, LLC 2007

Keywords: Decomposition; Staff scheduling; Set partitioning; Multi-commodity flow; Branch-and-price (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10479-007-0220-2

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