cs.ROApr 28, 2026

Optimal UGV-UAV Cooperative Partitioning and Inspection of Shortest Paths

Authors: Ninh NguyenSrinivas Akella

Abstract

We study cooperative shortest path planning for an unmanned ground vehicle (UGV) assisted by an unmanned aerial vehicle (UAV) scout in environments with unknown road blockages that are only discovered when a robot reaches the damaged point. This formulation generalizes the original Canadian Traveller Problem (CTP), which assumes a single ground vehicle and that the traversability status of all incident edges is revealed upon arrival at a vertex. We first analyze the case where the start and the goal are connected by kk disjoint paths, and prove that the worst-case competitive ratio ρρ for a single UGV is 2k12k-1. With UAV assistance, and under the simplifying assumption of negligible initial transit and deadheading UAV costs, the ratio ρρ improves to 2(k1)vGvG+vA+12(k-1)\frac{v_G}{v_G + v_A} + 1, where vGv_G and vAv_A denote the UGV and UAV speed, respectively. To address general graphs and non-negligible UAV initial transit and deadheading costs, we present an optimal candidate-path partitioning algorithm that assigns path prefix inspection to the UGV and path suffix inspection to the UAV, and prove the optimality of the UAV inspection strategy on general graphs. We evaluate our algorithm by performing experiments on road networks from the world's 50 most populous cities with randomized blockage locations, and show that the algorithm reduces UGV travel time, with larger improvements as the UAV speed increases.

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