Skip to main content

Hierarchical Shortest Pathfinding Applied to Route-Planning for Wheelchair Users

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4509))

Abstract

Pathfinding on large maps is time-consuming. Classical search algorithms such as Dijkstra’s and A* algorithms may solve difficult problems in polynomial time. However, in real-world pathfinding examples where the search space increases dramatically, these algorithms are not appropriate. Hierarchical pathfinding algorithms that provide abstract plans of future routing, such as HPA* and PRA*, have been explored by previous researchers based on classical ones. Although the two hierarchical algorithms show improvement in efficiency, they only obtain near optimal solutions. In this paper, we introduce the Hierarchical Shortest Path algorithm (HSP) and a hybrid of the HSP and A* (HSPA*) algorithms, which find optimal solutions in logarithmic time for numerous examples. Our empirical study shows that HSP and HSPA* are superior to the classical algorithms on realistic examples, and our experimental results illustrate the efficiency of the two algorithms. We also demonstrate their applicability by providing an overview of our Route Planner project that applies the two algorithms proposed in this paper.

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. Minsky, M.: Steps toward artificial intelligence (1961)

    Google Scholar 

  2. Russell, S., Norvig, P.: Solving problems by searching. Artificial Intelligence: A Modern Approach (1995)

    Google Scholar 

  3. Holte, R., Mkadmi, T., Zimmer, R.M., MacDonald, A.J.: Speeding up problem solving by abstraction: A graph oriented approach. Artifical Intelligence 85(1-2), 321–361 (1996)

    Article  Google Scholar 

  4. Rabin, S.: A* aesthetic optimizations. In: Game Programming Gems, pp. 264–271 (2000)

    Google Scholar 

  5. Hart, P., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. on Systems Science and Cybern. 4, 100–107 (1968)

    Article  Google Scholar 

  6. Korf, R.: Depth-first iterative-deepening: An optimal admissible tree search. Artificial Intelligence 27(1), 97–109 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  7. Korf, R., Reid, M., Edelkamp, S.: Time complexity of iterative deepening-A*. Artificial Intelligence, 199–218 (2001)

    Google Scholar 

  8. Sturtevant, N., Buro, M.: Partial pathfinding using map abstraction and refinement. In: AAAI-05, pp. 1392–1397 (2005)

    Google Scholar 

  9. Botea, A., Müller, M., Schaeffer, J.: Near optimal hierarchical path-finding. J. of Game Develop., 7–28 (2004)

    Google Scholar 

  10. Kautz, H., Fox, D., Etzioni, O., Borriello, G., Arnstein, L.: An overview of the assisted cognition project. American Association for Artificial Intelligence, Menlo Park (2002)

    Google Scholar 

  11. Moffatt, K., McGrenere, J., Purves, B., Klawe, M.: The partricipatory design of a sound and image enhanced daily planner for people with aphasia. In: Proceedings of ACM CHI, pp. 501–510 (2005)

    Google Scholar 

  12. McGrenere, J., Davies, R., Findlater, L., Graf, P., Klawe, M., Moffatt, K., Purves, B., Yang, S.: Insights from the aphasia project. In: Proceedings of ACM Conference on Universal Usability, pp. 112–118 (2003)

    Google Scholar 

  13. Wheelchair Foundation (2002), http://wheelchairfoundation.ca/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ziad Kobti Dan Wu

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Yang, S., Mackworth, A.K. (2007). Hierarchical Shortest Pathfinding Applied to Route-Planning for Wheelchair Users. In: Kobti, Z., Wu, D. (eds) Advances in Artificial Intelligence. Canadian AI 2007. Lecture Notes in Computer Science(), vol 4509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72665-4_46

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72665-4_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72664-7

  • Online ISBN: 978-3-540-72665-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics