Wireless sensor networks with randomized parameters

In this paper we present a model of single-hop type wireless sensor network with random access and one-way transmission. In the paper, we analyze the WSN single-hop network using one single radio frequency, such that all nodes are divided into several groups depending on the average time between the transmissions. We replaced deterministic number of nodes in groups by random variables. We apply the Poisson Arrivals See Time Averages (PASTA) to modeling the WSN. We present the formula for the collision probability in the new model. The purpose of this approach is to match better the network model with random access to real world applications. In the paper we present an application of Wireless Sensor Network with random access and one-way transmission to monitoring hospital patients, such that all nodes are divided into several groups depending on the average time between the transmission due to the different state of health of patients.