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Multi-Agent Path Finding via Finite-Horizon Hierarchical Factorization (2505.07779v1)

Published 12 May 2025 in cs.RO

Abstract: We present a novel algorithm for large-scale Multi-Agent Path Finding (MAPF) that enables fast, scalable planning in dynamic environments such as automated warehouses. Our approach introduces finite-horizon hierarchical factorization, a framework that plans one step at a time in a receding-horizon fashion. Robots first compute individual plans in parallel, and then dynamically group based on spatio-temporal conflicts and reachability. The framework accounts for conflict resolution, and for immediate execution and concurrent planning, significantly reducing response time compared to offline algorithms. Experimental results on benchmark maps demonstrate that our method achieves up to 60% reduction in time-to-first-action while consistently delivering high-quality solutions, outperforming state-of-the-art offline baselines across a range of problem sizes and planning horizons.

Summary

  • The paper introduces a novel Multi-Agent Path Finding algorithm using finite-horizon hierarchical factorization for improved scalability in dynamic environments.
  • Experimental results show the algorithm achieves up to a 60% reduction in time-to-first-action compared to offline baselines like LaCAM*.
  • This approach has significant implications for real-time robotic coordination in settings like automated warehouses, enabling more agile and efficient systems.

Multi-Agent Path Finding via Finite-Horizon Hierarchical Factorization

The paper "Multi-Agent Path Finding via Finite-Horizon Hierarchical Factorization" introduces an innovative approach to multi-agent path finding (MAPF), specifically addressing the challenges inherent in large-scale, dynamic environments such as automated warehouses. Jiarui Li, Alessandro Zanardi, and Gioele Zardini propose a novel algorithm that significantly enhances the scalability and responsiveness of robot navigation systems.

Algorithm Overview

The core of the paper is a newly developed MAPF algorithm employing finite-horizon hierarchical factorization. This technique leverages a planning approach that unfolds incrementally in a receding-horizon manner. The algorithm uniquely combines efficient conflict resolution with concurrent planning and immediate execution, offering substantial reductions in response time compared to traditional offline methods. It dynamically orchestrates robot movement by computing individual pathways in parallel and subsequently forms groups to address spatio-temporal conflicts based on real-time reachability metrics.

This approach capitalizes on factorization principles to manage the complexity of MAPF scenarios. Factorization has proven effective in various domains, emphasizing compositionality to solve high-dimensional problems by breaking them into manageable sub-problems. The proposed finite-horizon strategy allows the algorithm to sidestep the common pitfalls of exhaustive global planning by minimizing replanning inefficiencies and leveraging modern parallelization for enhanced performance.

Experimental Evaluation

The paper presents rigorous experimental results demonstrating the algorithm's effectiveness across benchmark maps. Most notably, it achieves up to a 60% reduction in time-to-first-action versus contemporary offline baselines such as LaCAM*. The results underscore the algorithm's capability to deliver fast execution with quality solutions, maintaining competitiveness in dynamic logistics environments.

Additionally, solution quality is quantitatively assessed using the sum of costs (SOC), revealing the algorithm’s superiority in preserving optimality by effectively integrating individual plans and dynamically resolving conflicts. Notably, the algorithm consistently outperforms offline counterparts across varying problem sizes and planning horizons.

Implications and Future Directions

The implications of this research are significant for real-time robotic coordination in high-activity settings like autonomous warehouses. The efficient integration of parallel planning and online execution opens avenues for more agile robotic systems, catering to the ever-growing demands for speed and precision in automated logistics.

The paper suggests promising directions for future exploration, including extending the algorithm to more general task assignment paradigms and incorporating learning-based methodologies to further optimize planning. Lifelong MAPF and network co-design for enhanced user experience and resource efficiency are additional areas ripe for investigation.

In conclusion, the paper presents strong empirical results underlining the potential of finite-horizon hierarchical factorization in transforming large-scale multi-agent path finding from a theoretical endeavour into a viable solution for complex real-world challenges.