基于排队论的高速公路服务区停车位合理规模的计算

Calculation of Reasonable Scale of Parking Spaces in Expressway Service Area Based on Queuing Theory

鉴于传统的停车位数计算方法均基于车辆的到达时间间隔相同和服务时间不变的假设,无法保证实际的服务水平,在分析影响服务区停车位规模主要因素的基础上,引入排队理论,得出了停车场排队系统在稳态下的平均顾客数与服务强度及停车位数的关系,并基于服务水平给出了停车位规模的合理计算方法。实例分析表明,该方法能够合理地计算出服务区停车位的规模,为停车位规模的计算提供了新的思路。

Traditional methods of calculating the number of parking spaces are all based on the assumption that the vehicles have the same arrival time interval and the same service time. These methods cannot guarantee the actual service level. Based on the analysis of the main factors that affect the parking spaces scale in the service area, by introducing the queuing theory, we obtained the relationship among the average number of customers, service intensity and the number of parking spaces in the steady state of the queuing system. Then, we proposed the reasonable calculation method of the parking space scale based on the service level. The case study shows that the method can calculate the parking space scale in the service area reasonably, which can show a new idea for the calculation of the parking space scale.