“…However, most of the models adopted in the literature do not describe the intrinsic discrete operations of each PEV, e.g., being plugged-in or plugged-out from one of the available charging points, in g2v or in v2g mode [11], [12], [13]. The selfish nature of each PEV, which pursues an economic, possibly profitable, usage of the charging station, together with the presence of both continuous (amount of energy charged/discharged) and discrete decision variables (operating mode) over a certain prediction horizon, motivates us to model the charge scheduling coordination of the PEVs as a collection of inter-dependent mixed-integer optimization problems, where the coupling constraints arise in aggregative form ( §II).…”