Optimal Delivery with a Faulty Drone
CoRR(2024)
Abstract
We introduce and study a new cooperative delivery problem inspired by
drone-assisted package delivery. We consider a scenario where a drone, en route
to deliver a package to a destination (a point on the plane), unexpectedly
loses communication with its central command station. The command station
cannot know whether the drone's system has wholly malfunctioned or merely
experienced a communications failure. Consequently, a second, helper drone must
be deployed to retrieve the package to ensure successful delivery. The central
question of this study is to find the optimal trajectory for this second drone.
We demonstrate that the optimal solution relies heavily on the relative spatial
positioning of the command station, the destination point, and the last known
location of the disconnected drone.
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