Profit Maximization Model for the Task Assignment Problem in 2-Tier Fog/Cloud Network Environments

This letter proposes an exact mathematical model to determine the optimal profit for task allocation within a 2-tier fog/cloud network environment. The model determines the optimal profit for fog computing networks while considering green computing concepts. This provides the exact operations needed to optimize for both fog node state manipulations and task allocation to the fog computing network. The proposed model uses complete knowledge of all its inputs to provide exact solutions. As a result, the model can be used to benchmark various real-time resource allocation algorithms by using historic trace data of demanded resources from a given network topology.