Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap

Idris Addou () and François Soumis ()

Annals of Operations Research, 2007, vol. 155, issue 1, 177-205

Abstract: In constructing working shifts, the classical Dantzig (Operation Research 2:339–341, 1954 ) set covering model uses a great number of variables which makes computation very complicated for some cases that incorporate a high degree of break-placement flexibility. Bechtold and Jacobs (Management Science 36:1339–1351, 1990 ) proposed an implicit model under the assumption that there is no extraordinary overlap, which considerably reduced the number of variables. In this paper we give a generalization that is valid without this hypothesis by adding a minimal set of constraints. Also, in some cases where there is extraordinary overlap we reduce our constraint set to a subset with the same number or less than that of Bechtold and Jacobs. Copyright Springer Science+Business Media, LLC 2007

Keywords: Shift; Break; Forward; Backward; Implicit personal scheduling; Extraordinary overlap; Lower overlap; Upper overlap (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10479-007-0222-0

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