Title
Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap
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.
Year
DOI
Venue
2007
10.1007/s10479-007-0222-0
Annals OR
Keywords
Field
DocType
Shift,Break,Forward,Backward,Implicit personal scheduling,Extraordinary overlap,Lower overlap,Upper overlap
Mathematical optimization,Scheduling (computing),Mathematics,Computation
Journal
Volume
Issue
ISSN
155
1
0254-5330
Citations 
PageRank 
References 
3
0.53
8
Authors
2
Name
Order
Citations
PageRank
Idris Addou130.53
François Soumis282197.64