收费广场内车辆排队系统的仿真研究

由于车型的多样性，收费广场内车辆排队系统是多随机输入流的，且排队长度不能仅计算队列中的车辆数量，这与经其的M／M／k和M／G／k排队模型是有差异的，介绍了不同的车型采用加权因子来计算队长的模型，用MATLAB软件编程来仿真这一复杂的车辆排队系统，得出了收费亭的车辆通行能力与收费亭数量及平均队长的变化规律。实践表明仿真算法稳定有效，所得结果更加符合实际情况。我们还用M／M／k排队理论公式对仿真模型进行了检验，结果二者吻合良好。

Simulation Research of Vehicles' Queuing System in Toll Plaza

The vehicles' queuing system in toll plaza is one with multi-random input flow,and the queuing length can't only count the vehicles' number in the queue,as a result of various types of vehicles.It is different from classical M/M/k and M/G/k queuing model.A model was introduced that the weigh factor was used to calculate the queuing length for various types of vehicles.A program was written in MATLAB software to simulate this complicated vehicles' queuing system.The rule was found that the vehicles' capacity of tollbooths changed with the number of tollbooth and average queuing length.The practice shows that this simulation algorithm is steady and effective and the results are obtained which accord with actual situation more accurately.The formulae of M/M/k queuing theory was used to test this simulation model and the outcomes coincide well between the two.