This paper addresses the deployment of sensors for a 2-D barrier coverage system. The challenge is to compute near-optimal sensor placements for detecting targets whose trajectories follow a log-Gaussian Cox line process. We explore sensor deployment in a transformed space, where linear target trajectories are represented as points. While this space simplifies handling the line process, the spatial functions representing sensor performance (i.e. probability of detection) become less intuitive. To illustrate our approach, we focus on positioning sensors of the barrier coverage system on the seafloor to detect passing ships. Through numerical experiments using historical ship data, we compute sensor locations that maximize the probability all ship passing over the barrier coverage system are detected.
View on arXiv@article{kim2025_2505.00825,
title={ Near-optimal Sensor Placement for Detecting Stochastic Target Trajectories in Barrier Coverage Systems },
author={ Mingyu Kim and Daniel J. Stilwell and Harun Yetkin and Jorge Jimenez },
journal={arXiv preprint arXiv:2505.00825},
year={ 2025 }
}