A model of Border Patrol to support optimal operation of border surveillance sensors
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Borders are monitored by a variety of moving and stationary sensors, e.g., patrol agents, video cameras, ground sensors, UAVs, etc. This paper introduces a model for a moving sensor that patrols a perimeter that is infiltrated by malevolent agents (targets). Targets arrive according to a Poisson process along the perimeter with a certain distribution of arrival location, and disappear (renege) a random amount of time after their arrival. The measures of effectiveness (MOEs) presented in this paper are the target detection rate and the time elapsed from target arrival to its detection (waiting time). We study two types of sensor trajectories that are periodic and with constant speed: 1. The sensor moves from a starting point to a certain location and then leaps instantaneously back to the starting point. 2. The sensor moves back and forth between two points. The controlled parameters (decision variables) are the beginning and end points of the patrolled sector. Properties of these trajectories are demonstrated in great generality. The results give decision makers a powerful tool for optimally deploying and operating a variety of sensors in an area of interest.
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