MATHEMATICAL MODEL EFFICIENT POSITION GENERATOR FOR LINEAR WIRELESS SENSOR NETWORKS
International Journal of Engineering Sciences & Research Technology · 2021
The mathematical sciences have always played a preponderant role in the reflection, development, and implementation of technological models and mechanisms.A Linear Wireless Sensor Network (LWSN) is a collection of sensors arranged in linear geometry.We can therefore represent a linear WSN as being a set of algebraic objects, arranged according to a very precise topology, with characteristics such as the position (coordinates in space) the transmission range, the cardinality of the network (number of nodes that compose the network) etc... Several types of topology have been proposed for linear RCSFs in order to provide them with better organization.One of them assumes a strictly linear topology, in which we note the existence of a single linear line extending from the sink.In this article we propose a new kind of topology called k-variant redundant where the redundancy factor k is a variable.This topology is based on a model generating the Euclidean positions of the nodes in increasing ways, which will make it possible to vary the redundancy factor k. The proposed topology model increases network availability especially in areas close to the sink, reducing the transmission effort (energy) at the nodes as one approaches the sink.The proposed model was compared with the existing topologies, namely the k-redundant topologies and the random placement model.The results obtained showed a longer lifespan for the proposed model, which makes it more efficient in terms of energy consumption.