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Multi-Robot Task Allocation for Homogeneous Tasks with Collision Avoidance via Spatial Clustering (2505.10073v1)

Published 15 May 2025 in cs.RO and cs.AI

Abstract: In this paper, a novel framework is presented that achieves a combined solution based on Multi-Robot Task Allocation (MRTA) and collision avoidance with respect to homogeneous measurement tasks taking place in industrial environments. The spatial clustering we propose offers to simultaneously solve the task allocation problem and deal with collision risks by cutting the workspace into distinguishable operational zones for each robot. To divide task sites and to schedule robot routes within corresponding clusters, we use K-means clustering and the 2-Opt algorithm. The presented framework shows satisfactory performance, where up to 93\% time reduction (1.24s against 17.62s) with a solution quality improvement of up to 7\% compared to the best performing method is demonstrated. Our method also completely eliminates collision points that persist in comparative methods in a most significant sense. Theoretical analysis agrees with the claim that spatial partitioning unifies the apparently disjoint tasks allocation and collision avoidance problems under conditions of many identical tasks to be distributed over sparse geographical areas. Ultimately, the findings in this work are of substantial importance for real world applications where both computational efficiency and operation free from collisions is of paramount importance.

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Summary

  • The paper introduces a framework for multi-robot task allocation for homogeneous tasks that integrates spatial clustering (K-means) and path optimization (2-Opt) to prevent collisions.
  • The proposed method achieved up to 93% reduction in computational time, a 7% improvement in solution quality, and completely eliminated collision points in numerical simulations.
  • This approach has significant practical implications for industrial multi-robot systems by improving efficiency and safety, with future work needed on dynamic environments and physical testing.

Multi-Robot Task Allocation for Homogeneous Tasks with Collision Avoidance via Spatial Clustering

The paper introduces an innovative framework for addressing the complex problem of Multi-Robot Task Allocation (MRTA) for homogeneous tasks, with an emphasis on minimizing collision risks through spatial clustering. The focus is on applying this method in industrial environments where multiple robots must efficiently perform identical tasks across numerous sites while avoiding collisions. The proposed approach makes significant strides in computational efficiency and operational safety by integrating task allocation with collision avoidance using spatial clustering methods.

Key Aspects of the Research

The research leverages K-means clustering and the 2-Opt algorithm as core components of its methodology. K-means clustering is used to partition the workspace into distinct clusters, each assigned to a different robot. This spatial partitioning naturally reduces collision risk by creating operational zones for each robot, thus ensuring no overlap in their respective paths. Within these clusters, the 2-Opt algorithm optimizes the route for each robot, further enhancing path efficiency by locally minimizing travel costs through iterative path improvements.

Numerical Results

The paper presents empirical results that underscore the effectiveness of the proposed method. The framework achieves up to 93% reduction in computational time and a 7% improvement in solution quality compared to existing methodologies. Notably, the approach ensures the complete elimination of collision points, a significant advancement in multi-robot task allocation models. Such results highlight the method's capability to dramatically increase both the speed and safety of robotic operations in industrial scenarios.

Implications and Future Directions

Theoretical and practical implications of this research are substantial. From a theoretical standpoint, the paper demonstrates that spatial clustering can effectively unify the seemingly separate problems of task allocation and collision avoidance in scenarios involving numerous identical tasks across sparse areas. Practically, the findings suggest that industries utilizing multi-robot systems can gain considerable operational efficiencies by adopting spatial clustering techniques.

Looking towards the future, several trajectories in academia and industry could further develop this work. The scalability of the proposed method should be tested in more dynamically complex environments—those involving heterogeneous tasks or real-time task updates. Additionally, integrating machine learning techniques could refine the clustering process, adapting dynamically to changing environments or tasks. Further empirical testing on physical robotic platforms would provide needed validation and demonstrate the method’s robustness in real-world applications.

In conclusion, this framework offers a promising direction for enhancing robotic coordination and efficiency. Through meticulous spatial clustering and optimized routing, it provides a significant contribution to the field of robotics, particularly in industrial applications where efficiency and safety are paramount. This work stands as a valuable foundation for future exploration and practical application in multi-robot systems.

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