Hardware improvements of mobile devices have allowed them to be considered as first-class resources at the edge, which has led to the need to propose new techniques and scheduling heuristics to make efficient usage of these devices. Current scheduling heuristics available in the literature do not take into account mobile grid nodes that do not rely on batteries to work, a factor that is of great importance in the advent of mobile-edge computing. In this paper we propose a simple algorithm that incorporates a more advanced awareness of a mobile device's power supply and we show that incorporating this characteristic can enable these heuristics to manage edge resources in a more efficient way.