Abstract
This paper studies the problem of computing optimal journeys in dynamic public transit networks. We introduce a novel algorithmic framework, called Connection Scan Algorithm (CSA), to compute journeys. It organizes data as a single array of connections, which it scans once per query. Despite its simplicity, our algorithm is very versatile. We use it to solve earliest arrival and multi-criteria profile queries. Moreover, we extend it to handle the minimum expected arrival time (MEAT) problem, which incorporates stochastic delays on the vehicles and asks for a set of (alternative) journeys that in its entirety minimizes the user’s expected arrival time at the destination. Our experiments on the dense metropolitan network of London show that CSA computes MEAT queries, our most complex scenario, in 272 ms on average.
Partial support by DFG grant WA654/16-1 and EU grant 288094 (eCOMPASS).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bast, H.: Car or Public Transport – Two Worlds. In: Albers, S., Alt, H., Näher, S. (eds.) Efficient Algorithms. LNCS, vol. 5760, pp. 355–367. Springer, Heidelberg (2009)
Bast, H., Carlsson, E., Eigenwillig, A., Geisberger, R., Harrelson, C., Raychev, V., Viger, F.: Fast Routing in Very Large Public Transportation Networks using Transfer Patterns. In: de Berg, M., Meyer, U. (eds.) ESA 2010, Part I. LNCS, vol. 6346, pp. 290–301. Springer, Heidelberg (2010)
Bauer, R., Delling, D., Wagner, D.: Experimental Study on Speed-Up Techniques for Timetable Information Systems. Networks 57(1), 38–52 (2011)
Berger, A., Delling, D., Gebhardt, A., Müller–Hannemann, M.: Accelerating Time-Dependent Multi-Criteria Timetable Information is Harder Than Expected. In: ATMOS. OpenAccess Series in Informatics (OASIcs) (2009)
Berger, A., Gebhardt, A., Müller–Hannemann, M., Ostrowski, M.: Stochastic Delay Prediction in Large Train Networks. In: ATMOS, pp. 100–111 (2011)
Delling, D., Katz, B., Pajor, T.: Parallel Computation of Best Connections in Public Transportation Networks. ACM JEA (2012) (to appear)
Delling, D., Pajor, T., Werneck, R.F.: Round-Based Public Transit Routing. In: ALENEX, pp. 130–140. SIAM (2012)
Delling, D., Sanders, P., Schultes, D., Wagner, D.: Engineering Route Planning Algorithms. In: Lerner, J., Wagner, D., Zweig, K.A. (eds.) Algorithmics. LNCS, vol. 5515, pp. 117–139. Springer, Heidelberg (2009)
Disser, Y., Müller–Hannemann, M., Schnee, M.: Multi-Criteria Shortest Paths in Time-Dependent Train Networks. In: McGeoch, C.C. (ed.) WEA 2008. LNCS, vol. 5038, pp. 347–361. Springer, Heidelberg (2008)
Geisberger, R.: Contraction of Timetable Networks with Realistic Transfers. In: Festa, P. (ed.) SEA 2010. LNCS, vol. 6049, pp. 71–82. Springer, Heidelberg (2010)
Goerigk, M., Knoth, M., Müller–Hannemann, M., Schmidt, M., Schöbel, A.: The Price of Robustness in Timetable Information. In: ATMOS, pp. 76–87 (2011)
HaCon website (2013), http://www.hacon.de/hafas/
London Data Store, http://data.london.gov.uk
Müller-Hannemann, M., Schulz, F., Wagner, D., Zaroliagis, C.: Timetable Information: Models and Algorithms. In: Geraets, F., Kroon, L.G., Schoebel, A., Wagner, D., Zaroliagis, C.D. (eds.) Railway Optimization 2004. LNCS, vol. 4359, pp. 67–90. Springer, Heidelberg (2007)
Pyrga, E., Schulz, F., Wagner, D., Zaroliagis, C.: Efficient Models for Timetable Information in Public Transportation Systems. ACM JEA 12(2.4), 1–39 (2008)
Sommer, C.: Shortest-Path Queries in Static Networks (2012) (submitted), Preprint available at http://www.sommer.jp/spq-survey.html
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dibbelt, J., Pajor, T., Strasser, B., Wagner, D. (2013). Intriguingly Simple and Fast Transit Routing. In: Bonifaci, V., Demetrescu, C., Marchetti-Spaccamela, A. (eds) Experimental Algorithms. SEA 2013. Lecture Notes in Computer Science, vol 7933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38527-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-38527-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38526-1
Online ISBN: 978-3-642-38527-8
eBook Packages: Computer ScienceComputer Science (R0)