In order to optimize power consumption in the network, techniques to adjust the link capacity to the demand has been proposed recently. These techniques are known as Adaptive Link Rate (ALR). This paper proposes that is feasible to establish an appropriate link rate to transport one or more flows efficiently, in terms of power consumption without impacting performance, in a network with a limited nodes and links. The proposal considers a model to select the end to end path with optimal power consumption and better performance. The optimization is based on a multi-objective model that allows to maximize the network energy efficiency - or to minimize power consumption related to each transferred data flow - and thus maximizing performance. The finding is a feasible solution to the problem of data flow transmision from a source to destination, using adaptive link rate and a multi objective optimization model, to achieve minimal energy consumption and the best quality of service. The model has a set of functions for energy consumption and quality service metrics related to delay.