Skip to main content

A New Dynamic Graph Structure for Large-Scale Transportation Networks

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7878))

Abstract

We present a new dynamic graph structure specifically suited for large-scale transportation networks that provides simultaneously three unique features: compactness, agility and dynamicity. We demonstrate its practicality and superiority by conducting an experimental study for shortest route planning in large-scale European and US road networks with a few dozen millions of nodes and edges. Our approach is the first one that concerns the dynamic maintenance of a large-scale graph with ordered elements using a contiguous memory part, and which allows an arbitrary online reordering of its elements.

This work was supported by the EU FP7/2007-2013 (DG CONNECT.H5-Smart Cities & Sustainability), under grant agreement no. 288094 (project eCOMPASS). Work done while the last author was visiting the Karlsruhe Institute of Technology.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms and Applications. Prentice Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

  2. ARRIVAL Deliverable D3.6. Improved Algorithms for Robust and Online Timetabling and for Timetable Information Updating. ARRIVAL Project (March 2009), http://arrival.cti.gr/uploads/3rd_year/ARRIVAL-Del-D3.6.pdf

  3. Bauer, R., Delling, D.: SHARC: Fast and robust unidirectional routing. ACM Journal of Experimental Algorithmics 14 (2009)

    Google Scholar 

  4. Bender, M.A., Demaine, E., Farach-Colton, M.: Cache-Oblivious B-Trees. SIAM Journal on Computing 35(2), 341–358 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Contraction Hierarchies source code, http://algo2.iti.kit.edu/routeplanning.php

  6. Delling, D., Goldberg, A.V., Nowatzyk, A., Werneck, R.F.: PHAST: Hardware-Accelerated Shortest Path Trees. In: IPDPS 2011. IEEE (2011)

    Google Scholar 

  7. 9th DIMACS Implementation Challenge – Shortest Paths, http://www.dis.uniroma1.it/challenge9/index.shtml

  8. 10th DIMACS Implementation Challenge – Graph Partitioning and Graph Clustering, http://www.cc.gatech.edu/dimacs10/

  9. Frigo, M., Leiserson, C.E., Prokop, H., Ramachandran, S.: Cache-oblivious algorithms. In: Proc. 40th IEEE FOCS 1999, pp. 285–297 (1999)

    Google Scholar 

  10. Geisberger, R., Sanders, P., Schultes, D., Delling, D.: Contraction Hierarchies: Faster and Simpler Hierarchical Routing in Road Networks. In: McGeoch, C.C. (ed.) WEA 2008. LNCS, vol. 5038, pp. 319–333. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Goldberg, A.V., Harrelson, C.: Computing the Shortest Path: A * Search Meets Graph Theory. In: Proc. SODA, pp. 156–165 (2005)

    Google Scholar 

  12. Goldberg, A.V., Kaplan, H., Werneck, R.F.: Reach for A *: Shortest Path Algorithms with Preprocessing. DIMACS 74, 93–139 (2009)

    MathSciNet  Google Scholar 

  13. Mali, G., Michail, P., Paraskevopoulos, A., Zaroliagis, C.: A New Dynamic Graph Structure for Large-Scale Transportation Networks, Technical Report eCOMPASS-TR-005, eCOMPASS Project (October 2012), http://www.ecompass-project.eu/?q=node/135

  14. Schultes, D.: Route Planning in Road Networks. PhD Dissertation, University of Karlsruhe (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mali, G., Michail, P., Paraskevopoulos, A., Zaroliagis, C. (2013). A New Dynamic Graph Structure for Large-Scale Transportation Networks. In: Spirakis, P.G., Serna, M. (eds) Algorithms and Complexity. CIAC 2013. Lecture Notes in Computer Science, vol 7878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38233-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38233-8_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38232-1

  • Online ISBN: 978-3-642-38233-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics