Title
Using Benders Decomposition to Implicitly Model Tour Scheduling
Abstract
This paper introduces a new integrated model for the combined days-off and shift scheduling problem (the tour scheduling problem). This model generalizes the forward and backward constraints, previously introduced by Bechtold and Jacobs for the shift scheduling problem, to the tour scheduling problem. This results in a general and compact formulation that can handle several types of scheduling flexibility. We also provide a new proof of the correctness of forward and backward constraints based on Benders decomposition. The latter approach is interesting in itself because it can be used to solve the problem when extraordinary overlap of break windows or start-time bands is present. A discussion of model size for a set of hypothetical test problems is presented to show the merits of the new formulation.
Year
DOI
Venue
2004
10.1023/B:ANOR.0000019101.29692.2c
Annals OR
Keywords
Field
DocType
tour scheduling,shifts,breaks,Benders decomposition,implicit model
Mathematical optimization,Multiprocessor scheduling,Job shop scheduling,Computer science,Scheduling (computing),Correctness,Nurse scheduling problem,Dynamic priority scheduling,Benders' decomposition
Journal
Volume
Issue
ISSN
128
1-4
1572-9338
Citations 
PageRank 
References 
23
1.31
6
Authors
3
Name
Order
Citations
PageRank
Monia Rekik1734.60
Jean-François Cordeau22604127.77
François Soumis382197.64