Skip to main content

Cost-benefit-analysis of Investments into Railway Networks with Periodically Timed Schedules

  • Chapter
Computer-Aided Scheduling of Public Transport

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 505))

Abstract

An efficient planning of future investments into a railway network requires a thorough analysis of possible effects. Therefore, a tool is needed for a costbenefit-analysis at an early stage of the planning process. We present a method to obtain a cost-benefit-curve that shows the effect of investments (cost) on the quality of the network measured by the waiting time of passengers (benefit).

This curve is obtained from the solutions of a multi-criteria timetable optimization problem. Timetables are evaluated with respect to the investment they require and the benefit they bring to passengers in terms of shorter waiting times. Moreover, we show how the notion of stability of a timetable under random delays can be included into our approach. The analysis is done on a strategic level without consideration of all operational details. We use genetic algorithms to find approximate solutions to the optimization problem.

A prototype system is presently tested on a network of regional lines in Germany. We report on the first very promising results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

Bibliography

  • Engelhardt-Funke, O. and M. Kolonko (2000). Optimal time-tables: Modelling stochastic pertubations. In Proceedings of the 7th International Workshop on Project Management and Scheduling (PMS 2000), Osnabrück, 125–127.

    Google Scholar 

  • Goverde, R. (1998). Optimal transfertimes in railway time tables. In Abstracts of the 6th Meeting of the EURO Working Group on Transportation, Göteborg, Sweden, 1–5.

    Google Scholar 

  • Herrmann, U. (1996). Untersuchung zur Verspätungsentwicklung von Fernreisezügen auf der Datengrundlage der R Z Ãœ Frankfurt am Main. Dissertation, TH Darmstadt.

    Google Scholar 

  • Ishibuchi, H. and T. Murata (1996). Multi-objective genetic local search algorithm. In Proceedings of the IEEE International Conference on Evolutionary Computation, IEEE, Piscataway, 119–124.

    Chapter  Google Scholar 

  • Kolonko, M. and S. Voget (1998). Multidimensional optimization using fuzzy genetic algorithms. Journal of Heuristics 4, 221–244.

    Article  Google Scholar 

  • Mühlhans, E. (1990). Berechnung der Verspätungsentwicklung bei Zugfahrten. ETR — Eisenbahntechnische Rundschau 39, 465–468.

    Google Scholar 

  • Nachtigall, K. (1996). Periodic network optimization with different arc frequencies. Discrete Applied Mathematics 69, 1–17.

    Article  Google Scholar 

  • Nachtigall, K. (1999). Periodic Network Optimization and Fixed Interval Timetables. Habilitation thesis, University Hildesheim.

    Google Scholar 

  • Nachtigall, K. and S. Voget (1997). Minimizing waiting times in integrated fixed interval timetables by upgrading railway tracks. European Journal of Operational Research 103, 610–627.

    Article  Google Scholar 

  • Orlin, J.B. (1982). Minimizing the number of vehicles to meet a fixed periodic schedule: An application of periodic posets. Operations Research 30, 760–776.

    Article  Google Scholar 

  • Potthoff, G. (1970). Verkehrsströmungslehre 3: Die Verkehrsströme im Netz. Transpress VEB Verlag für Verkehrswesen, Berlin.

    Google Scholar 

  • Serafini, P. and W. Ukovich (1989). A mathematical model for periodic scheduling problems. SIAM Journal on Discrete Mathematics 2, 550–581.

    Article  Google Scholar 

  • Suhl, L. and T. Mellouli (1999). Requirements for, and design of, an operations control system for railways. In N.H.M. Wilson (Ed.), Computer-Aided Transit Scheduling, Lecture Notes in Economics and Mathematical Systems, 471, Springer, Berlin, 371–390.

    Chapter  Google Scholar 

  • Weigand, W. (1981). Verspätungsübertragung in Fernverkehrsnetzen. ETR-Eisenbahntechnische Rundschau 30, 915–919.

    Google Scholar 

  • Zimmermann, U. and T. Lindner (2000). Train Schedule Optimization in Public Transportation. Technical report, TU Braunschweig. Available at http://www.math.tu-bs.de/mo/research/preprints.html.

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kolonko, M., Engelhardt-Funke, O. (2001). Cost-benefit-analysis of Investments into Railway Networks with Periodically Timed Schedules. In: Voß, S., Daduna, J.R. (eds) Computer-Aided Scheduling of Public Transport. Lecture Notes in Economics and Mathematical Systems, vol 505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56423-9_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56423-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42243-3

  • Online ISBN: 978-3-642-56423-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics