In order to ease the traffic congestion near primary and secondary schools during the drop-off and pick-up, traffic behavior was analyzed, and a quantitative allocation method for parking spaces was proposed. The proposed method includes three steps. Firstly, a vehicle queuing model based on G/M/N queue theory was built, and MATLAB was employed to simulate the queuing model to obtain a reasonable parking space for drop-off. Secondly, the reasonable parking space for pick-up is determined based on the cumulative number of vehicles. Finally, an optimization model for the scale of total parking spaces and the short-term parking spaces was proposed to achieve maximum utilization of parking spaces. An empirical analysis and verification were conducted based on actual traffic data of schools. The results show that the proposed model can analyze the overall scale of the parking space for primary and secondary school, as well as the scale of the short-term parking spaces. And the proposed scale of the parking space can well meet the actual parking demand.

中文翻译：

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基于G / M / N排队模型的中小学停车位研究

为了缓解中小学校上下车过程中的交通拥堵，分析了交通行为，提出了停车位的定量分配方法。所提出的方法包括三个步骤。首先，建立了基于G / M / N排队理论的车辆排队模型，并利用MATLAB对排队模型进行仿真，得到了合理的下车停车位。其次，根据车辆的累计数量确定合理的上车停车位。最后，提出了总停车位和短期停车位规模的优化模型，以实现最大的停车位利用率。根据学校的实际交通数据进行了实证分析和验证。结果表明，该模型可以分析中小学停车场的总体规模以及短期停车场的规模。拟议的停车位规模可以很好地满足实际停车需求。