Nothing Special   »   [go: up one dir, main page]

Skip to main content

Route Planning Under Uncertainty: A Case Study on Objectives Apart from Mean Travel Time

  • Conference paper
  • First Online:
Operations Research Proceedings 2021 (OR 2021)

Part of the book series: Lecture Notes in Operations Research ((LNOR))

Included in the following conference series:

  • 738 Accesses

Abstract

We take the perspective of an individual passenger and consider the problem of choosing a route from a start point S to a target T from a relatively small set of options. We assume that travel times are not deterministic but subject to some stochastic mechanism/uncertainty. For modeling and analyzing travel times, we use stochastic simulation based on mixtures of gamma distributions. Instead of focusing on mean travel times, we discuss multiple criteria for decision making. Our approach is illustrated by an example from public transportation: traveling from Göttingen to Cologne by ICE train. Furthermore, we discuss ways how to extend our approach; e.g., by inferring model parameters from historical data.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Similar content being viewed by others

References

  1. Bergemann, D., Valimaki, J.: Bandit problems. Cowles Foundation Discussion Paper (2006)

    Google Scholar 

  2. Barbeito, G., Moll, M., Bein, W., Pickl, S.: Deterministic and stochastic simulation: a combined approach to passenger routing in railway systems. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds.) Operations Research Proceedings 2019. ORP, pp. 659–665. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-48439-2_80

    Chapter  Google Scholar 

  3. Li, Q., Chen, P., Nie, Y.: Finding optimal hyperpaths in large transit networks with realistic headway distributions. Eur. J. Oper. Rese. 240, 98–108 (2015)

    Article  Google Scholar 

  4. Liu, Y., Blandin, S., Samaranayake, S.: Stochastic on-time arrival problem in transit networks. Transp. Res. Part B: Methodol. 119, 122–138 (2019)

    Article  Google Scholar 

  5. Stasinopoulos, M.D., Rigby, R.A., De Bastiani, F.: GAMLSS: a distributional regression approach. Statist. Model. 18, 248–273 (2018)

    Article  Google Scholar 

  6. Deutsche Bahn. https://www.deutschebahn.com/de/konzern/konzernprofil/zahlen_fakten/puenktlichkeitswerte-1187696. Accessed 19 May 2021

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jan Gertheiss .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gertheiss, J., Jaehn, F. (2022). Route Planning Under Uncertainty: A Case Study on Objectives Apart from Mean Travel Time. In: Trautmann, N., Gnägi, M. (eds) Operations Research Proceedings 2021. OR 2021. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-08623-6_39

Download citation

Publish with us

Policies and ethics