M/G/k排队模型在电动出租汽车充电站排队系统中的应用

Application of M/G/k Queuing Model in Queuing System of Electric Taxi Charging Station

针对电动出租汽车充电站排队系统,通过对电动出租汽车到站时间和充电服务时间实际调查数据的统计分析,得出了车辆到站时间间隔服从负指数分布和充电服务时间服从正态分布的结论,给出了电动出租汽车充电站排队系统类属M/G/k排队模型的数学依据,并对M/G/k排队模型和M/M/k排队模型进行了对比分析。在相同的输入条件下,M/M/k排队模型和M/G/k排队模型中系统运行指标的明显差异表明二者在电动出租汽车充电站排队系统中不能通用。针对电动出租汽车充电站M/G/k排队系统,分析了电动出租汽车到站SOC数学特征对排队系统的影响,并提出了改善系统运行指标、提高系统服务能力的相应措施。

Aiming at the queuing system of electric taxi charging station and according to statistics and analysis on actual survey data of the arrival time of the electric taxi to charging station and the charging service time, a conclusion that the time interval of the arrival time of the electric taxi to charging station obeys negative exponential distribution and the charging service time obeys normal distribution is obtained, and the mathematical basis that the queuing system of electric taxi charging station belongs to M/G/k queuing model is given, and the contrastive analysis on M/G/k queuing model and M/M/k queuing model is carded out. Under the same input conditions, the obvious differences of operation indices between M/G/k queuing model and M/M/k queuing model show that there is no interchangeableness between the two models. As to the M/G/k queuing system of electric taxi charging station, the impact of the mathematical feature of the state of charge （SOC） of arrival taxi on the queuing system is analyzed, and corresponding measures to improve the operating indices and the service ability of the queuing system are put forward.