Solving an Open Sensor Exposure Problem using Variational Calculus

Sensor network presents us many new challenging practical and theoretical problems. This paper is concerned with minimal exposure problem in sensor networks. Exposure, proposed by Megerian and others [3] as a useful metric to describe the sensor coverage of a path in a sensor field, exhibits interesting properties and induces related open problems. In this paper, we present a solution to an open one-sensor exposure problem [2, 3] using variational calculus as our first step in further understanding of the exposure problem in multiple sensor scenarios. Solving an Open Sensor Exposure Problem using Variational Calculus Qingfeng Huang Department of Computer Science and Engineering Washington University, Saint Louis, MO 63130. [email protected] Abstract Sensor network presents us many new challenging practical and theoretical problems. This paper is concerned with minimal exposure problem in sensor networks. Exposure, proposed by Megerian and others [3] as a new useful metric to describe the sensor coverage of a path in a sensor field, exhibits interesting properties and induces related open problems. In this paper, we present a solution to an open one-sensor exposure problem [2, 3] using variational calculus as our first step in further understanding of the exposure problem in multiple sensor scenarios.Sensor network presents us many new challenging practical and theoretical problems. This paper is concerned with minimal exposure problem in sensor networks. Exposure, proposed by Megerian and others [3] as a new useful metric to describe the sensor coverage of a path in a sensor field, exhibits interesting properties and induces related open problems. In this paper, we present a solution to an open one-sensor exposure problem [2, 3] using variational calculus as our first step in further understanding of the exposure problem in multiple sensor scenarios.