Research on Mathematical Model in Wireless Sensor Networks
Ailing Wang · International Journal of Digital Content Technology and its Applications · 2011
The mathematical model can be widely applied to the field of deployment and topology control in wireless sensor networks. In wireless sensor networks, sensor nodes are randomly distributed of high-density. How can we use a minimum number of sensor nodes achieving requirement of coverage and connectivity is a NP-hard problem. This paper formulates a mathematical model in which only if some parameters are known, the number of nodes in order to reach a certain coverage fraction can be calculated. Simulation results show that the simulation results can be able to calculate the number of nodes in little error compared with the analytical results. The simulation results are analyzed.