A Model of an Energy-Aware IoT

Since a large number of devices and servers are interconnected, the IoT (Internet of Things) consumes a large volume of electric energy. In the FC (Fog Computing) model of the IoT, some processes of a sensor application for processing sensor data are executed on fog nodes and the other parts on servers. In our previous studies, the TBFC (Tree-Based FC) and FTBFC (Flexible TBFC) models are proposed, Here, application processes are replicated and distributed in fog nodes which are structured in a tree. In thee FTBFC model, the tree structure of fog nodes is changed to reduce the energy consumption. Here, the energy consumption of the changed tree is obtained by the simulation but it takes time to do the simulation, especially in a scalable tree. In this paper, we newly propose a mathematical model to estimate the total energy consumption of only nodes which are changed. By using the model, we discuss by which change operation on a target node the total energy consumed by the target node and changing nodes can be reduced.