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In this paper we will explore a number of approaches to developing digital ecosystems research into addressing some of the key research questions that are emerging in the Cloud Computing domain. The approach of this paper is to build an energy consumption model over the cloud computing. The model is based on mathematical methods for optimizing energy consumption under constraints. We will solve the optimization problem with AMPL/CPLEX  tool. The aim of this model is to provide an analytical tool that can be used to explore different aspects of the network in terms of energy-reduction.