Near-optimal Sensor Placement for Detecting Stochastic Target Trajectories in Barrier Coverage Systems

--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. T o 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. I NTRODUCTION Barrier coverage systems have been widely studied in various multi-agent system applications, such as unmanned aerial vehicles (UA Vs) and sensor networks. In these scenarios, devices are deployed to create a coverage area that detects targets within a specified region.