Abstract
The Multi-Agent Path Finding (MAPF) is a problem of finding a plan for agents to reach their desired locations without collisions. Distributed Multi-Agent Path Finder (DMAPF) solves the MAPF problem by decomposing a given MAPF problem instance into smaller subproblems and solve them in parallel. DMAPF works in rounds. Between two consecutive rounds, agents may migrate between two adjacent subproblems following their abstract plans, which are pre-computed, until all of them reach the areas that contain their desired locations. Previous works on DMAPF compute an abstract plan for each agent without the knowledge of other agents’ abstract plans, resulting in high congestion in some areas, especially those that act as corridors. The congestion negatively impacts the runtime of DMAPF and prevents it from being able to solve dense MAPF problems.
In this paper, we (i) investigate the use of Uniform-Cost Search to mitigate the congestion. Additionally, we explore the use of several other techniques including (ii) using timeout estimation to preemptively stop solving and relax a subproblem when it is likely to get stuck; (iii) allowing a solving process to manage multiple subproblems – aimed to increase concurrency; and (iv) integrating with MAPF solvers from the Conflict-Based Search family. Experimental results show that our new system is several times faster than the previous ones; can solve larger and denser problems that were unsolvable before; and has better runtime than PBS and EECBS, which are state-of-the-art centralized suboptimal MAPF solvers, in problems with a large number of agents.
Tran Cao Son was partially supported by NSF awards #1757207, #1914635, and #1812628.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Barer, M., Sharon, G., Stern, R., Felner, A.: Suboptimal variants of the conflict-based search algorithm for the multi-agent pathfinding problem. In: Seventh Annual Symposium on Combinatorial Search (2014)
Biere, A., Heule, M., van Maaren, H.: Handbook of Satisfiability, vol. 185. IOS press, Amsterdam (2009)
Boyarski, E., et al.: Icbs: improved conflict-based search algorithm for multi-agent pathfinding. In: Twenty-Fourth International Joint Conference on Artificial Intelligence (2015)
Dechter, R., Cohen, D., et al.: Constraint Processing. Morgan Kaufmann, Massachusetts (2003)
Felner, A., et al.: Search-based optimal solvers for the multi-agent pathfinding problem: summary and challenges. In: International Symposium on Combinatorial Search, vol. 8 (2017)
Gebser, M., Kaminski, R., Kaufmann, B., Ostrowski, M., Schaub, T., Wanko, P.: Theory solving made easy with clingo 5. In: Technical Communications of the 32nd International Conference on Logic Programming (ICLP 2016). Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik (2016)
Ho, F., et al.: Decentralized multi-agent path finding for UAV traffic management. IEEE Trans. Intell. Transp. Syst. (2020)
Hönig, W., Kiesel, S., Tinka, A., Durham, J.W., Ayanian, N.: Persistent and robust execution of MAPF schedules in warehouses. IEEE Rob. Autom. Lett. 4(2), 1125–1131 (2019)
Leet, C., Li, J., Koenig, S.: Shard systems: scalable, robust and persistent multi-agent path finding with performance guarantees. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 36, pp. 9386–9395 (2022)
Li, J., Chen, Z., Harabor, D., Stuckey, P.J., Koenig, S.: MAPF-LNS2: fast repairing for multi-agent path finding via large neighborhood search. In: Proceedings of the AAAI Conference on Artificial Intelligence (2022)
Li, J., Harabor, D., Stuckey, P.J., Ma, H., Gange, G., Koenig, S.: Pairwise symmetry reasoning for multi-agent path finding search. Artif. Intell. 301, 103574 (2021)
Li, J., Ruml, W., Koenig, S.: EECBS: a bounded-suboptimal search for multi-agent path finding. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, pp. 12353–12362 (2021). https://doi.org/10.1609/aaai.v35i14.17466
Li, J., Tinka, A., Kiesel, S., Durham, J.W., Kumar, T.S., Koenig, S.: Lifelong multi-agent path finding in large-scale warehouses. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, pp. 11272–11281 (2021)
Ma, H., Harabor, D., Stuckey, P.J., Li, J., Koenig, S.: Searching with consistent prioritization for multi-agent path finding. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 33, pp. 7643–7650 (2019). https://doi.org/10.1609/aaai.v33i01.33017643
Ma, H., Yang, J., Cohen, L., Kumar, T.S., Koenig, S.: Feasibility study: moving non-homogeneous teams in congested video game environments. In: Thirteenth Artificial Intelligence and Interactive Digital Entertainment Conference (2017)
Malinen, M.I., Fränti, P.: Balanced K-means for clustering. In: Fränti, P., Brown, G., Loog, M., Escolano, F., Pelillo, M. (eds.) S+SSPR 2014. LNCS, vol. 8621, pp. 32–41. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-662-44415-3_4
Marek, V.W., Truszczyński, M.: Stable models and an alternative logic programming paradigm. In: Apt, K.R., Marek, V.W., Truszczynski, M., Warren, D.S. (eds.) The Logic Programming Paradigm, pp. 375–398. Springer, Cham (1999). https://doi.org/10.1007/978-3-642-60085-2_17
Niemelä, I.: Logic programs with stable model semantics as a constraint programming paradigm. Ann. Math. Artif. Intell. 25(3), 241–273 (1999)
Phillips, M., Likhachev, M.: Sipp: safe interval path planning for dynamic environments. In: 2011 IEEE International Conference on Robotics and Automation, pp. 5628–5635. IEEE (2011)
Pianpak, P., Son, T.C.: DMAPF: a decentralized and distributed solver for multi-agent path finding problem with obstacles. Electr. Proc. Theor. Comput. Sci. (EPTCS) 345, 99–112 (2021). https://doi.org/10.4204/eptcs.345.24
Pianpak, P., Son, T.C.: Improving problem decomposition and regulation in distributed multi-agent path finder (DMAPF). In: PRIMA 2022: Principles and Practice of Multi-Agent Systems, pp. 156–172 (2023). https://doi.org/10.1007/978-3-031-21203-1_10
Pianpak, P., Son, T.C., Toups, Z.O., Yeoh, W.: A distributed solver for multi-agent path finding problems. In: Proceedings of the First International Conference on Distributed Artificial Intelligence (DAI), pp. 1–7 (2019). https://doi.org/10.1145/3356464.3357702
Quigley, M., et al.: Ros: an open-source robot operating system. In: ICRA Workshop on Open Source Software, Kobe, Japan, vol. 3, p. 5 (2009)
Sharon, G., Stern, R., Felner, A., Sturtevant, N.R.: Conflict-based search for optimal multi-agent pathfinding. Artif. Intell. 219, 40–66 (2015)
Sharon, G., Stern, R., Goldenberg, M., Felner, A.: The increasing cost tree search for optimal multi-agent pathfinding. Artif. Intell. 195, 470–495 (2013)
Silver, D.: Cooperative pathfinding. In: Proceedings of the AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment, vol. 1, pp. 117–122 (2005)
Stern, R., et al.: Multi-agent pathfinding: definitions, variants, and benchmarks. In: Symposium on Combinatorial Search (SoCS), pp. 151–158 (2019)
Surynek, P.: Compilation-based solvers for multi-agent path finding: a survey, discussion, and future opportunities. arXiv preprint arXiv:2104.11809 (2021)
Thayer, J.T., Ruml, W.: Bounded suboptimal search: a direct approach using inadmissible estimates. In: Twenty-Second International Joint Conference on Artificial Intelligence (2011)
Wilt, C., Botea, A.: Spatially distributed multiagent path planning. In: Proceedings of the International Conference on Automated Planning and Scheduling, vol. 24, pp. 332–340 (2014)
Yu, J., LaValle, S.M.: Structure and intractability of optimal multi-robot path planning on graphs. In: Twenty-Seventh AAAI Conference on Artificial Intelligence (2013)
Zhang, H., et al.: A hierarchical approach to multi-agent path finding. In: Proceedings of the International Symposium on Combinatorial Search, vol. 12, pp. 209–211 (2021)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Pianpak, P., Li, J., Son, T.C. (2023). Load Balancing in Distributed Multi-Agent Path Finder (DMAPF). In: Ciortea, A., Dastani, M., Luo, J. (eds) Engineering Multi-Agent Systems. EMAS 2023. Lecture Notes in Computer Science(), vol 14378. Springer, Cham. https://doi.org/10.1007/978-3-031-48539-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-031-48539-8_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-48538-1
Online ISBN: 978-3-031-48539-8
eBook Packages: Computer ScienceComputer Science (R0)