Lifetime Analysis of Data Aggregation Tree with Unreliable Sensor Node

Energy consumption and reliability are two critical issues in wireless sensor networks (WSNs). What is the length of lifetime of a WSN in an unreliable environment is our focus. In this paper, the clustering scheme is introduced firstly. A data aggregation tree model is formed in the periodic data collection application. Based on this model, the energy consumption and reliability issues are analyzed, which are both related to the lifetime of a WSN. Accordingly we obtain the lifetime T of the network, which is defined as the time after which the probability of connectivity is less than 1 - epsiv. Here epsiv is a small parameter. Simulation results demonstrate that our analysis is correct and effective.