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Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap

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  • Idris Addou
  • François Soumis

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

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  • Idris Addou & François Soumis, 2007. "Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap," Annals of Operations Research, Springer, vol. 155(1), pages 177-205, November.
    • Handle: RePEc:spr:annopr:v:155:y:2007:i:1:p:177-205:10.1007/s10479-007-0222-0
    DOI: 10.1007/s10479-007-0222-0
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    References listed on IDEAS

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    Cited by:

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    2. Ferdinand Kiermaier & Markus Frey & Jonathan F. Bard, 2020. "The flexible break assignment problem for large tour scheduling problems with an application to airport ground handlers," Journal of Scheduling, Springer, vol. 23(2), pages 177-209, April.

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