Abstract
In many rural counties pupils on their way to school are a large, if not the largest group of customers for public mass transit. Hence an effective optimization of public mass transit in these regions must include the traffic caused by pupils. Besides a change in the schedules of the buses and the starting times of the trips, the school starting time may become an integral part of the planning process. We discuss the legal framework for this optimization problem in German states and counties and present a multi-objective mixed-integer linear programming formulation for the simultaneous specification of school and trip starting times. For its solution, we develop a two-stage decomposition heuristic and apply it to practical data sets from three different rural German counties.
Similar content being viewed by others
References
Bodin, L. and L. Berman. (1979). “Routing and Scheduling of School Buses by Computer.” Transportation Science, 13(2), 113–129.
Bowerman, R.L., G.B. Hall, and P.H. Calamai. (1995). “A Multi-Objective Optimisation Approach to School Bus Routing Problems.” Transportation Research A, 28(5), 107–123.
Braca, J., J. Bramel, B. Posner, and D. Simchi-Levi. (1997). “A Computerized Approach to the New York City School Bus Routing Problem.” IIE Transactions, 29, 693–702.
Corberan, A., E. Fernandez, M. Laguna, and R. Marti. (2000). “Heuristic Solutions to the Problem of Routing School Buses with Multiple Objectives.” Technical Report TR08-2000, Department of Statistics and OR, University of Valencia.
Desaulniers, G., J. Lavigne, and F. Soumis. (1998). “Multi-Depot Vehicle Scheduling with Time Windows and Waiting Costs.” European Journal of Operational Research, 111(3), 479–494.
Ehrgott, M. (2000). Multicriteria Optimization. Springer Verlag, Heidelberg.
Ferland, J.A. and L. Fortin. (1989). “Vehicles Scheduling with Sliding Time Windows.” European Journal of Operational Research, 38(2), 213–226.
Hinweise zur Schulorganisation für allgemein bildende Schulen. Verwaltungsvorschrift des Ministeriums für Bildung, Wissenschaft und Kultur vom 21. Juli 2000. Aus: Mitteilungsblatt des Ministeriums für Bildung, Wissenschaft und Kultur Mecklenburg-Vorpommern, Nr. 8/2000, 362–365. (In German).
ILOG CPlex Division, 889 Alder Avenue, Suite 200, Incline Village, NV 89451, USA. Information available at URL http://www.cplex.com.
Löbel, A. (1997). Optimal Vehicle Scheduling in Public Transit. Shaker Verlag, Aachen.
Nemhauser, G. and L. Wolsey. (1988). Integer and Combinatorial Optimization. Wiley Interscience, New York.
Satzung über die Anerkennung der notwendigen Kosten für die Schülerbeförderung des Landkreises Demmin. Aus: Kreisanzeiger des Landkreises Demmin, Nr. 6/97. Amtliche Mitteilungen und Informationen, 7–8. (In German).
Schulgesetz Mecklenburg-Vorpommern vom. 15.05.1996. Stand Feb. 2000, 68. (In German).
Stöveken, P. (2000). “Wirtschaftlicherer Schulverkehr: öPNV-Optimierung mit erfolgsabhängiger Honorierung.” Der Nahverkehr, 3, 65–68. (In German).
Toth, P. and D. Vigo. (2002). “The Vehicle Routing Problem.” SIAM Monographs on Discrete Mathematics and Applications, SIAM, Philadelphia.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fügenschuh, A., Martin, A. A multicriteria approach for optimizing bus schedules and school starting times. Ann Oper Res 147, 199–216 (2006). https://doi.org/10.1007/s10479-006-0066-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10479-006-0066-z