Network virtualization is a promising technology for the Internet of the Future. Nevertheless, an open issue in virtualization is to satisfy the control of resources in a way that energy savings are achieved. This paper introduces a model for the mapping of virtual networks onto network substrates which aims to reduce both the energy consumption and bandwidth consumption. This model is based on an integer linear programming formulation and several parameters of real networks, are considered. The trade-off between energy and bandwidth consumption is analyzed based on results derived via simulation.113983988