Abstract-In the access part of the Future Internet the fixed and mobile access is expected to converge not only to better utilize the resources, but also to decrease the power consumption, to increase the availability and also to improve the QoS/QoE of uesrs. We present architectures and algorithms to show what EnergyAvailability-QoS tradeoffs can be reached. We support our approach by intensive simulations. The electric energy consumption [kWh] grows from year to year. The share of InfoCommunications Technologies (ICT) grows even faster. In this paper we focus primarily onto reducing energy consumption of the access part of modern heterogeneous mobile networks that leads to "greening" of this part of the network. The idea of our "greening" algorithm is based on selective switch-off and on consolidation of resources, employed jointly with both, the vertical and the horisontal handover (handoff). We show by simulations the energy saving benefits of our approach