On the Energy in Displacement of Random Sensors for Connectivity and Interference

This paper investigates the problem of the minimization of energy consumption in reallocation of wireless mobile sensors network (WMSN) to assure good communication without interference. It is assumed that n sensors are initially randomly placed in the d--dimensional space according to d identical and independent Poisson processes each with arrival rate λ > 0. Let 0 < s ≤ υ be given real numbers. We are allowed to move the sensors, so that every two consecutive sensors are placed at distance greater than or equal to s and less than or equal to υ. In this work, we discover and explain a sharp decline and a sharp increase (a threshold phenomena) for the minimal energy consumption in movement of mobile sensors around the interference-connectivity distances s, υ equal to 1/λ.