Abstract
CREW-OPT is a new software module in the HASTUS family of scheduling software. CREW-OPT produces optimal or near-optimal crew schedules for small problems (usually a single bus line or a small transit operation.) It is based on the resolution of a set covering formulation of the crew scheduling problem. Each row of the set covering problem corresponds to a task to perform and each column to a feasible workday. The objective is to construct a minimum cost set of workdays which covers all of the tasks. As the number of columns in this formulation is very large, we use a column generation approach to solve it. As is generally the case with column generation, the cornerstone of the approach is the design of an appropriate subproblem to generate proposed columns for the master problem. In this paper, we discuss the art of modeling such subproblems using a model of the constrained shortest path type.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.R. Daduna and A. Wren (eds) (1988) Computer-aided Transit Scheduling. Lecture Notes in Economic and Mathematical Systems 308, Springer Verlag.
M. Desrochers(1988). A New Algorithm for the Shortest Path Problem with Resource Constraints. Cahier du GERAD G-88–27.
M. Desrochers (1986). La fabrication d’horaires de travail pour les conducteurs d’autobus par une méthode de génération de colonnes. Ph.D thesis, Report #470, Centre de Recherche sur les Transports, Université de Montréal, 176 pages.
M. Desrochers and F. Soumis (1988). CREW-OPT: Crew Scheduling by Column Generation, in Computer-aided Transit Scheduling. Lecture Notes in Economic and Mathematical Systems 308, Springer Verlag, 83–90.
M. Desrochers and F. Soumis (1989). A Column Generation Approach to the Urban Transit Crew Scheduling Problem. Transportation Science 23, 1–13.
T. Hartley (1981). A Glossary of Terms in Bus and Crew Scheduling. A. Wren (ed), Computer Scheduling of Public Transport Urban Passenger Vehicle and Crew Scheduling, Elsevier Science Publishers, Amsterdam.
L.S. Lasdon (1970). Optimization Theory for Large Systems. Macmillan, New York.
R.E. Marsten (1981). The Design of the XMP Linear Programming Library. ACM Transaction on Mathematical Software 7, 481–497.
J.-M. Rousseau (ed) (1985). Computer Scheduling of Public Transport 2. Elsevier Science Publishers, Amsterdam.
D.M. Ryan and B.A. Forster (1981). An Integer Programming Approach to Scheduling. A. Wren (ed), Computer Scheduling of Public Transport Urban Passenger Vehicle and Crew Scheduling, Elsevier Science Publishers, Amsterdam, 269–280.
A. Wren (ed) (1981). Computer Scheduling of Public Transport Urban Passenger Vehicle and Crew Scheduling. Elsevier Science Publishers, Amsterdam.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Desrochers, M., Gilbert, J., Sauvé, M., Soumis, F. (1992). CREW-OPT: Subproblem Modeling in a Column Generation Approach to Urban Crew Scheduling. In: Desrochers, M., Rousseau, JM. (eds) Computer-Aided Transit Scheduling. Lecture Notes in Economics and Mathematical Systems, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85968-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-85968-7_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55634-3
Online ISBN: 978-3-642-85968-7
eBook Packages: Springer Book Archive