Surveillance coverage of sensor networks under a random mobility strategy

We consider the problem of surveillance of a region undertaken by a group of mobile sensors. Random mobility strategies are discussed in terms of coverage efficiency, communication and reliability in hostile environments. Under a Brownian motion random mobility strategy for the sensor grid, the distribution of the time-until-detection of slowly moving (point) targets is studied. Both two and three dimensional environments are considered. We obtain explicit formulas in three dimensions and bounds in two.