Theoretical Analysis of Pure Waiting Time for Battery Charging While Doing Something

Recently, Electric Vehicle (EV) is considered as one of important technologies of smart grid, however, there are some problems for spreading EVs. One of these problems is that charging the battery of an EV needs a longer time than refueling of gasoline vehicles. To overcome these problems, for example, some local governments in Japan started projects in which restaurants and shops rent outlets for charging EV of their customers while doing something such as eating or shopping. Under such projects, if an EV driver knows information on chargers such as the locations of chargers and the mean waiting times for using chargers, the driver may be able to reduce the time spent only for charging (pure waiting time). In this paper, we theoretically analyze the mean of the pure waiting time in cases where drivers know and do not know the above information. From the numerical results, we discuss what information is important to reduce the pure waiting time.