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In this paper, the performance of a cluster-based wireless sensor network is studied when an adaptive transmission probability scheme is used to form the clusters. The cluster scheme is based on the well-known LEACH protocol, which organizes the nodes inside a wireless sensor network in clusters in order to distribute the energy load of each node. However, unlike LEACH, nodes are chosen to be cluster heads or cluster members only based on the order of arrival of nodes (called LEACH MOD), instead of whether or not a node has been a cluster head previously, in order to reduce the processing time and energy consumption added by the role selection scheme proposed by LEACH. The nodes transmit with a certain probability in order to create the cluster; as such, the adaptive transmission scheme, chooses the adequate value for the transmission probability based on the estimation of a number of nodes attempting a transmission in the following time slots. In this work, we study the impact of the error estimation on the energy consumption and the average formation cluster time when the network works with such scheme.

Effect of the error estimation of nodes in the cluster formation phase in wireless sensor networks with adaptive transmission probability