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Redundant Robot Assignment on Graphs with Uncertain Edge Costs

  • Amanda ProrokEmail author
Conference paper
Part of the Springer Proceedings in Advanced Robotics book series (SPAR, volume 9)

Abstract

We provide a framework for the assignment of multiple robots to goal locations, when robot travel times are uncertain. Our premise is that time is the most valuable asset in the system. Hence, we make use of redundant robots to counter the effect of uncertainty and minimize the average waiting time at destinations. We apply our framework to transport networks represented as graphs, and consider uncertainty in the edge costs (i.e., travel time). Since solving the redundant assignment problem is strongly NP-hard, we exploit structural properties of our problem to propose a polynomial-time solution with provable sub-optimality bounds. Our method uses distributive aggregate functions, which allow us to efficiently (i.e., incrementally) compute the effective cost of assigning redundant robots. Experimental results on random graphs show that the deployment of redundant robots through our method reduces waiting times at goal locations, when edge traversals are uncertain.

Notes

Acknowledgements

The authors would like to thank the anonymous referees for their constructive feedback. We gratefully acknowledge the support of ARL grant DCIST CRA W911NF-17-2-0181.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Computer Science & TechnologyUniversity of CambridgeCambridgeUK

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