Modeling of Wireless Sensor Network Based on Functioning Parameters of Unevenly Distributed Nodes

Abstract

Connection and routing parameters of wireless sensor networks are considered for static topologies and uniform distribution of nodes. Most of the studied models do not take into account the parameters of message connectivity and their delivery time between unevenly distributed nodes. in the proposed study, models of connectivity analysis and message delivery between unevenly distributed nodes are developed. Models of wireless sensor networks with uniform and normal distribution of nodes and research on the network connectivity parameter for these models are proposed. Network models with different types of distributions are built based on the Erdosh-Rani random graph model, which allows describing of the connectivity of wireless sensor networks as the connectivity of a random graph, that is, to determine the connectivity of wireless sensor networks with the probability of finding the distance between two vertices of the graph. Simulation models with a uniform and normal distribution of nodes are implemented to investigate the probability of network connection. The choice of these types of distribution is explained by possible real distributions of nodes in the studied area.