Modelization of Energy in WSN basing on LEACH Protocol and Polynomial Model

Recently, because of limited power in wireless sensor networks (WSNs), many of hierarchical routing protocols have been proposed as an efficient mechanism for reducing energy. The most popular one is LEACH for "Low Energy Adaptive Clustering hierarchy". Depending on multiple and complicated tasks, sensor nodes can't survive longer and die after a duration due to the scarce of energy provided by a battery. So, piloting the entire sensor networks with limited resources of energy is a big challenge due to the diversity of factors that impact energy. In this contest and basing on the LEACH protocol, we have modelized and optimized some aspects of energy in WSN using a design of experiment strategy. Indeed, basing on the power of polynomial equations drawn from the limited development of Taylor-Mac Laurin, we have optimized and explained perfectly some energetic phenomena in wireless sensor networks.

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