Notice of Retraction: Capturing intrusions by mobile robot in rectangular perimeter

Abstract

[This paper has been withdrawn by the publisher]. In this paper, we are interested in a single robot detecting intrusions in a rectangular perimeter. We built a stochastic model analyzing the detection quality achieved by the single moving robot moving along the rectangular perimeter, based on the velocity, mobility pattern. We define the mode of intrusion events as follows: intrusions arrive at random point at the rectangular perimeter, and stay in the point for a random length of time. In our model, a robot is set to periodically move along a certain routine at not constant speed but a varying one. We derive the general expression for intrusion loss probability.