Skip to main content

A Hybrid Approach of Dijkstra’s Algorithm and A* Search, with an Optional Adaptive Threshold Heuristic

  • Conference paper
  • First Online:
Business Intelligence (CBI 2023)

Abstract

This study is a part of the trajectory planning applied to harvest system work where mobile robots must be able to navigate safely the environment to look for palmer crops. Many constraints can be faced, such as crop selection as maturity changes over time, searching for the most mature palmer, avoiding different kinds of obstacles, robot speed control, and the cost of moving from an initial point to a goal target. After studying different trajectory planning approaches and their applications [8], we conclude that some of these methods can be combined to design a new, powerful approach based on the accurate property of Dijkstra and the heuristic function of A Star.Dijkstra is known as a powerful algorithm based on graph mapping and reducing the path cost, and A Star on the other side is one of the best guides for path searching due to the heuristic function that avoids exploring all environment nodes and only those leading to the goal. Combining Dijkstra’s algorithm and the A* (A-star) algorithm can lead to a more efficient pathfinding approach. Dijkstra’s algorithm [4] is a well-known method for finding the shortest path between two nodes in a graph, while the A* algorithm is an extension of Dijkstra’s algorithm that uses heuristic estimates to guide the search towards the goal node. By combining these two algorithms, we can use Dijkstra’s algorithm to explore the graph and generate a good initial estimate of the path cost, then use the A* algorithm to refine the estimate and guide the search towards the goal node. This paper explores the utilization of trajectory planning in a harvesting system. By employing both the Dijkstra and A* algorithms, we propose a hybrid approach to ensure optimal timing for finding a path. We conduct a comparative analysis to evaluate the performance of the new approach by comparing the application of a single algorithm versus the hybrid approach across various graph sizes.

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 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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

References

  1. Ammar, A., Bennaceur, H., Châari, I., Koubâa, A., Alajlan, M.: Relaxed Dijkstra and A* with linear complexity for robot path planning problems in large-scale grid environments. Soft. Comput. 20, 4149–4171 (2016)

    Article  Google Scholar 

  2. Ciesielski, K.C., Falcão, A.X., Miranda, P.A.: Path-value functions for which Dijkstra’s algorithm returns optimal mapping. J. Math. Imaging Vision 60, 1025–1036 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ferguson, D., Kalra, N., Stentz, A.: Replanning with RRTs. In: Proceedings 2006 IEEE International Conference on Robotics and Automation, ICRA 2006, pp. 1243–1248. IEEE (2006)

    Google Scholar 

  4. Fernandes, P.B., Oliveira, RCL., Neto, J.F.: Trajectory planning of autonomous mobile robots applying a particle swarm optimization algorithm with peaks of diversity. Appl. Soft Comput. 116, 108108 (2022)

    Google Scholar 

  5. Ju, C., Luo, Q., Yan, X.: Path planning using an improved A-star algorithm. In: 2020 11th International Conference on Prognostics and System Health Management (PHM-2020 Jinan), pp. 23–26. IEEE (2020)

    Google Scholar 

  6. Khatib, O.: Real-time obstacle avoidance for manipulators and mobile robots. Int. J. Robot. Res. 5(1), 90–98 (1986)

    Article  Google Scholar 

  7. Lin, G., Zhu, L., Li, J., Zou, X., Tang, Y.: Collision-free path planning for a guava-harvesting robot based on recurrent deep reinforcement learning. Comput. Electron. Agric. 188, 106350 (2021)

    Article  Google Scholar 

  8. Madridano, Á., Al-Kaff, A., Martín, D., de la Escalera, A.: Trajectory planning for multi-robot systems: methods and applications. Expert Syst. Appl. 173, 114660 (2021)

    Article  Google Scholar 

  9. Niewola, A., Podsedkowski, L.: L* algorithm-a linear computational complexity graph searching algorithm for path planning. J. Intell. Robot. Syst. 91, 425–444 (2018)

    Article  Google Scholar 

  10. Pak, J., Kim, J., Park, Y., Son, H.I.: Field evaluation of path-planning algorithms for autonomous mobile robot in smart farms. IEEE Access 10, 60253–60266 (2022)

    Article  Google Scholar 

  11. Ranjha, A., Kaddoum, G.: URLLC-enabled by laser powered UAV relay: a quasi-optimal design of resource allocation, trajectory planning and energy harvesting. IEEE Trans. Veh. Technol. 71(1), 753–765 (2021)

    Article  Google Scholar 

  12. Sandamurthy, K., Ramanujam, K.: A hybrid weed optimized coverage path planning technique for autonomous harvesting in cashew orchards. Inf. Process. Agric. 7(1), 152–164 (2020)

    Google Scholar 

  13. Stentz, A.J., Boyd, R.W., Evans, A.F.: Dramatically improved transmission of ultrashort solitons through 40 km of dispersion-decreasing fiber. Opt. Lett. 20(17), 1770–1772 (1995)

    Article  Google Scholar 

  14. Thrasher, S.W.: A reactive/deliberative planner using genetic algorithms on tactical primitives. Ph.D. thesis, Massachusetts Institute of Technology (2006)

    Google Scholar 

  15. Zeng, W., Church, R.L.: Finding shortest paths on real road networks: the case for A*. Int. J. Geogr. Inf. Sci. 23(4), 531–543 (2009). https://doi.org/10.1080/13658810801949850

    Article  Google Scholar 

  16. Zhang, H.Y., Lin, W.M., Chen, A.X.: Path planning for the mobile robot: a review. Symmetry 10(10), 450 (2018). https://doi.org/10.3390/sym10100450

  17. Zhang, T.W., Xu, G.H., Zhan, X.S., Han, T.: A new hybrid algorithm for path planning of mobile robot. J. Supercomput. 78(3), 4158–4181 (2022)

    Article  Google Scholar 

  18. Zhong, X., Tian, J., Hu, H., Peng, X.: Hybrid path planning based on safe A* algorithm and adaptive window approach for mobile robot in large-scale dynamic environment. J. Intell. Robot. Syst. 99, 65–77 (2020)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lhoussaine Ait Ben Mouh .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 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

Ait Ben Mouh, L., Ouhda, M., El Mourabit, Y., Baslam, M. (2023). A Hybrid Approach of Dijkstra’s Algorithm and A* Search, with an Optional Adaptive Threshold Heuristic. In: El Ayachi, R., Fakir, M., Baslam, M. (eds) Business Intelligence. CBI 2023. Lecture Notes in Business Information Processing, vol 484 . Springer, Cham. https://doi.org/10.1007/978-3-031-37872-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-37872-0_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-37871-3

  • Online ISBN: 978-3-031-37872-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics