Skip to main content

Abstract

In recent years, many warehouses applied mobile robots to move products from one location to another. We focus on a traditional warehouse where agents are humans and they are engaged with tasks to navigate to the next destination one after the other. The possible destinations are determined at the beginning of the daily shift. Our real-world warehouse client asked us to minimise the total wage cost, and to minimise the irritation of the workers because of conflicts in their tasks. We extend Multi-Agent Path Finding (MAPF) solution techniques. We define a heuristic optimisation for the assignment of the packages. We have implemented our proposal in a simulation software and we have run several experiments. According to the experiments, the make-span and the wage cost cannot be reduced with the heuristic optimisation, however the heuristic optimisation considerably reduces the irritation of the workers. We conclude our work with a guideline for the warehouse.

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 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
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. Applegate, D.L., Bixby, R.E., Chvátal, V.: The Traveling Salesman Problem. Princeton University Press, Princeton (2007)

    Google Scholar 

  2. Grenouilleau, F., van Hoeve, W., Hooker, J.N.: A multi-label A* algorithm for multi-agent pathfinding. In: Proceedings of the Twenty-Ninth International Conference on Automated Planning and Scheduling, ICAPS 2018, Berkeley, CA, USA, 11–15 July 2019, pp. 181–185. AAAI Press (2019)

    Google Scholar 

  3. Hart, P., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4(2), 100–107 (1968). https://doi.org/10.1109/tssc.1968.300136

    Article  Google Scholar 

  4. Hönig, W., Kiesel, S., Tinka, A., Durham, J.W., Ayanian, N.: Conflict-based search with optimal task assignment. In: Proceedings of the 17th International Conference on Autonomous Agents and MultiAgent Systems, AAMAS 2018, Richland, SC, pp. 757–765 (2018)

    Google Scholar 

  5. Li, J., Tinka, A., Kiesel, S., Durham, J.W., Kumar, T.K.S., Koenig, S.: Lifelong Multi-Agent Path Finding in Large-Scale Warehouses, pp. 1898–1900. International Foundation for Autonomous Agents and Multiagent Systems, Richland (2020)

    Google Scholar 

  6. Liu, M., Ma, H., Li, J., Koenig, S.: Task and path planning for multi-agent pickup and delivery. In: Proceedings of the 18th International Conference on Autonomous Agents and MultiAgent Systems, AAMAS 2019, International Foundation for Autonomous Agents and Multiagent Systems, Richland, SC, pp. 1152–1160 (2019)

    Google Scholar 

  7. Ma, H., Harabor, D., Stuckey, P.J., Li, J., Koenig, S.: Searching with consistent prioritization for multi-agent path finding. Proc. AAAI+ Conf. Artif. Intell. 33(01), 7643–7650 (2019)

    Google Scholar 

  8. Ma, H., Li, J., Kumar, T.K.S., Koenig, S.: Lifelong multi-agent path finding for online pickup and delivery tasks. In: Proceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems, AAMAS 2017, São Paulo, Brazil, 8–12 May 2017, pp. 837–845. ACM (2017)

    Google Scholar 

  9. Max, B., Guni, S., Roni, S., Ariel, F.: Suboptimal variants of the conflict-based search algorithm for the multi-agent pathfinding problem. Front. Artif. Intell. Appl. 263, 961–962 (2014)

    Google Scholar 

  10. Nguyen, V., Obermeier, P., Son, T.C., Schaub, T., Yeoh, W.: Generalized target assignment and path finding using answer set programming. In: Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, pp. 1216–1223, August 2017

    Google Scholar 

  11. Sharon, G., Stern, R., Felner, A., Sturtevant, N.R.: Conflict-based search for optimal multi-agent pathfinding. Artif. Intell. 219, 40–66 (2015)

    Google Scholar 

  12. Silver, D.: Cooperative pathfinding. In: Proceedings of the First AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment, AIIDE 2005, pp. 117–122. AAAI Press (2005)

    Google Scholar 

  13. Stern, R., et al.: Multi-agent pathfinding: definitions, variants, and benchmarks. In: Proceedings of the Twelfth International Symposium on Combinatorial Search, SOCS 2019, Napa, California, 16–17 July 2019, pp. 151–159. AAAI Press (2019)

    Google Scholar 

  14. de la Vega, W.F., Lueker, G.S.: Bin packing can be solved within 1 + \(\epsilon \) in linear time. Combinatorica 1(4), 349–355 (1981)

    Google Scholar 

  15. Wan, Q., Gu, C., Sun, S., Chen, M., Huang, H., Jia, X.: Lifelong multi-agent path finding in a dynamic environment. In: 2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV), pp. 875–882. IEEE (2018)

    Google Scholar 

  16. Wurman, P.R., D’Andrea, R., Mountz, M.: Coordinating hundreds of cooperative, autonomous vehicles in warehouses. AI Mag. 29(1), 9 (2008)

    Google Scholar 

  17. Yu, J., LaValle, S.: Structure and intractability of optimal multi-robot path planning on graphs. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 27, no. 1, June 2013

    Google Scholar 

Download references

Acknowledgement

We thank K. Berczi for the optimisations from the real-world client. We thank A. Kiss for facilitating the initial programming work. The work of B. Ács, O. Jakab and L. Dóra was supported by the European Union, co-financed by the European Social Fund (EFOP-3.6.3-VEKOP-16-2017-00002). The work of L.Z. Varga was supported by the “Application Domain Specific Highly Reliable IT Solutions” project which has been implemented with the support provided from the National Research, Development and Innovation Fund of Hungary, financed under the Thematic Excellence Programme TKP2020-NKA-06 (National Challenges Subprogramme) funding scheme.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to László Z. Varga .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ács, B., Dóra, L., Jakab, O., Varga, L.Z. (2021). Multi-agent Techniques to Solve a Real-World Warehouse Problem. In: Dignum, F., Corchado, J.M., De La Prieta, F. (eds) Advances in Practical Applications of Agents, Multi-Agent Systems, and Social Good. The PAAMS Collection. PAAMS 2021. Lecture Notes in Computer Science(), vol 12946. Springer, Cham. https://doi.org/10.1007/978-3-030-85739-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85739-4_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85738-7

  • Online ISBN: 978-3-030-85739-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics