Models of Sensor Operations for Border Surveillance
Lin, Kyle Y.
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This paper is motivated by the diverse array of border threats, ranging from terrorists to arms dealers and human tra±ckers. We consider a moving sensor that patrols a certain section of a border with the objective to detect in¯ltrators who attempt to penetrate that section. In¯ltrators arrive according to a Poisson process along the border with a speci¯ed distribution of arrival location, and disappear a random amount of time after their arrival. The measures of e®ectiveness are the target (in¯ltrator) detection rate and the time elapsed from target arrival to target detection. We study two types of sensor trajectories that have constant endpoints, are periodic, and maintain constant speed: (1) a sensor that jumps instantaneously from the endpoint back to the starting-point, and (2) a sensor that moves continuously back and forth. The controlled parameters (decision variables) are the starting and end points of the patrolled sector and the velocity of the sensor. General properties of these trajectories are investigated.
Naval Research Logistics (NRL) V. 55, No. 1, pp 27-41.
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