An Optimal Management for Charging and Discharging of Electric Vehicles in an Intelligent Parking Lot Considering Vehicle Owner's Random Behaviors

•Maximizing the profits of a parking lot and electric vehicle owners.•Optimal charging/discharging schedules for EVs Considering their owner's random behaviors .•Providing fines for vehicles that are eligible for incomplete charging.•Increasing the level of vehicle charging to the expected values.•Decreasing the number of charging in the peak times and charging the vehicles in the offpeak times.