Skip to main content

A Quantitative Comparator of Heuristic Methods for Optimal Route in Hilly Terrain

  • Conference paper
  • First Online:
Advances in Small Satellite Technologies

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 1061 Accesses

Abstract

The computation of optimal route for various kinds of automatic or manned vehicles on hilly terrain is an important task in route planning applications. In the absence of a road network, the topography factors of the terrain (slope, elevation, etc.) and the climbing angle of the vehicle play an important role in the computation of the optimal route between two points. This kind of problem has been addressed in the artificial intelligence domain, and the graph search algorithms can be applied to find a solution. The A* algorithm and various versions of A* have been reported in the literature to achieve the faster results while maintaining the optimality criteria of the solution. The speed-up in all the versions of A* algorithms is achieved through the use of heuristic knowledge available in the problem domain. There may exist various heuristic functions that fulfil the admissibility criteria but produce different results as far as the speed and the optimality are concerned. This paper presents a performance measure for quantitative comparison of the various heuristics functions that can be used for optimal route selection in hilly terrain.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Khantanapoka K, Chinnasarn K (2009) Pathfinding of 2D & 3D game real-time strategy with depth direction A* algorithm for multi-layer. In: Eight IEEE international symposium on natural language processing, pp 184–188

    Google Scholar 

  2. Dijkstra W (1959) A note on two problems in connection with graphs. Numer Math 1(1):269–271

    Article  MathSciNet  Google Scholar 

  3. Nilsson JN (1995) Principles of artificial intelligence. Narosa Publishing house, New Delhi

    MATH  Google Scholar 

  4. Wouter VT, Geraerts R (2015) Dynamically pruned A* for re-planning in navigation meshes. In: IEEE/RSJ international conference on intelligent robots and systems (IROS), Congress Center Hamburg, Germany, pp 2051–2057, 28 Sept–02 Oct

    Google Scholar 

  5. Ma H, Liang R (2013) Using bidirectional search to compute optimal shortest paths over multi-weight graphs. In: IEEE international conference on information science and cloud computing companion, pp 66–71

    Google Scholar 

  6. Phillips M, Likhachev M (2015) Speeding up heuristic computation in planning with experience graphs. In: IEEE international conference on robotics and automation (ICRA), Washington State Convention Center, Seattle, Washington, pp 893–899, 26–30 May

    Google Scholar 

  7. Bander JL, White CC III (1998) A heuristic search algorithm for path determination with learning. IEEE Trans Syst Man Cybern Part A: Syst Hum 28(1)

    Google Scholar 

  8. Lingkun W, Xiaokui X, Dingxiong D (2012) Shortest path and distance queries on road networks: an experimental evaluation. Proc VLDB Endow 5(5):406–417

    Google Scholar 

  9. Geisberger R, Sanders P, Schultes D (2008) Contraction hierarchies: faster and simpler hierarchical routing in road networks. In: International workshop on WEA, Springer, Heidelberg, pp 319–333

    Google Scholar 

  10. Abraham I, Fiat A, Goldberg AV et al (2010) Highway dimension, shortest paths, and provably efficient algorithms. In: Proceedings of the twenty first annual ACM-SIA Symposium on discrete algorithms, Society for Industrial and Applied Mathematics, pp 782–793

    Google Scholar 

  11. Bast H, Funke S, Matijecvic D (2006) Transit: ultrafast shortest path queries with linear time pre-processing. In Important proceedings of the 9th DIMACS implementation challenge, pp 175–192

    Google Scholar 

  12. Pearl J (1984) Heuristics: intelligent strategies for computer problem solving. Addison-Wesley, MA

    Google Scholar 

  13. http://asterweb.jpl.nasa.gov. Accessed 12 Nov 2018

Download references

Acknowledgements

This work was done at Image Analysis Center (IAC), Defense Electronics Applications Laboratory (DEAL), Dehradun, India. The author is grateful to Dr. RS Pundir, Director, DEAL, for providing all his support and resources to complete this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sudhir Porwal .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Porwal, S., Khare, S. (2020). A Quantitative Comparator of Heuristic Methods for Optimal Route in Hilly Terrain. In: Sastry, P.S., CV, J., Raghavamurthy, D., Rao, S.S. (eds) Advances in Small Satellite Technologies. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1724-2_3

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-1724-2_3

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1723-5

  • Online ISBN: 978-981-15-1724-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics