Abstract
In this paper, we present a new decomposition scheme of the urban public transport scheduling problem. Our decomposition, which is motivated by the fact that in public transport crew costs dominate vehicle operating costs, differs from the traditional approach in that crew duties are developed first and then vehicle schedules are built around these crew duties. Results from the application of this method on real problems from the Athens Area Urban Transport Organization are presented. The insight on the structure of the public transport scheduling problem, gained from the proposed approach, is considered of major importance.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Ball, M.; Bodin, L.; Dial, R.: A Matching Based Heuristic for Scheduling Mass Transit Crews and Vehicles. Transportation Science 17 (1983), 4–31
Bodin, L.; Golden, B.; Assad, A.; Ball, M.: Routing and Scheduling of Vehicles and Crews: The State of the Art. Computers and Operations Research 10 (1983), 63–211
Daduna, J.; Wren, A. (eds.): Computer-Aided Transit Scheduling, Springer-Verlag 1988
Dash Associates: XPRESS-MP Reference Manual, 1989.
Desrochers, M.; Soumis, F.: A Column Generation Approach to the Urban Transit Crew Scheduling Problem. Transportation Science 23 (1989), 1–13
Falkner, J.; Ryan, D.: A Bus Crew Scheduling System Using a Set Partitioning Model. Asia-Pasific Journal of Operational Research 4 (1987), 39–56
Foster, B.; and Ryan, D.: An Integer Programming Approach to the Vehicle Scheduling Problem. Operational Research Quarterly 27 (1976), 367–384
Hartley, T.: A Glossary of Terms in Bus and Crew Scheduling. Computer Scheduling of Public Transport. A. Wren, ed., North Holland 1981
Hartley, T.; Wren, A.: Two Complementary Approaches to Bus Scheduling Programs. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
Kennington, J.; Helgason, R.: Algorithms for Network Programming. John Wiley and Sons 1980
Luedtke, L.: RUCUS II: A Review of System Capabilities. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
Mitra, G.; Welsh, A.: A Computer Based Crew Scheduling System Using a Mathematical Programming Approach. Computer Scheduling of Public Transport. A. Wren, ed., North Holland 1981
Papoulias, D.; Patrikalakis, I.; Xerokostas, D.: A Heuristic Algorithm for the Scheduling of Filobuses. Paper presented at EURO IV, Cambridge, 1980
Patrikalakis, I.; Xerokostas, D.: A Computer-Aided Bus and Crew Scheduling System for the Urban Transport Organization of Athens. Technika Chronika-B 9 (1989), No. 3, 69–100, (in Greek)
Rousseau, J.-M. (ed.): Computer Scheduling of Public Transport 2. North Holland 1985
Rousseau, J.-M.; Blais, J.-Y.: HASTUS: An Interactive System for Buses and Crew Scheduling. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
Ryan, D.: ZIP — A Zero-One Integer Programming Package for Scheduling. Report C.S.S. 85. A.E.R.E. Harwell. Oxfordshire 1980
Ryan, D.; Falkner, J.: On the Integer Properties of Scheduling Set Partitioning Models. European Journal of Operational Research 35 (1988), 442–456
Scott, D.: A Large Linear Programming Approach to the Public Transport Scheduling and Cost Model. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
Simeone, B.; Toth, P.; Gallo, G.; Maffioli, F.; Pallotino, S. (eds.): FORTRAN Codes for Network Optimization. J.C. Baltzer AG 1988.
Tosini, E.; Vercellis, C.: An Interactive System for Extra-Urban Vehicle and Crew Scheduling problems. Computer-Aided Transit Scheduling. J. Daduna; A. Wren eds., Springer-Verlag 1988
Ward, R.; Durant, P.; Hallman, A.: A Problem Decomposition Approach to Scheduling the Drivers and Crews of Mass Transit Systems. Computer Scheduling of Public Transport. A. Wren, ed., North Holland 1981
Williamson, R.: The United Kingdom’s Integrated Approach to Transit Scheduling. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
Wren, A. (ed.): Computer Scheduling of Public Transport. North Holland 1981
Wren, A.; Smith, B.: Experiences with a Crew Scheduling System Based on Set Covering. Computer-Aided Transit Scheduling. J. Daduna; A. Wren eds., Springer-Verlag 1988
Wren, A.; Smith, B.; Miller, A.: Complementary Approaches to Crew Scheduling. Computer Scheduling of Public Transport 2. J.-M. Rousseau, ed., North Holland 1985
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
Patrikalakis, I., Xerocostas, D. (1992). A New Decomposition Scheme of the Urban Public Transport Scheduling Problem. 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_26
Download citation
DOI: https://doi.org/10.1007/978-3-642-85968-7_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55634-3
Online ISBN: 978-3-642-85968-7
eBook Packages: Springer Book Archive