Comparative Study of Traffic Flow Models: A Case study for Al-Doura Expressway in Baghdad City

Husam M. Al-Faris, M. Al-Obaidi
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Abstract

Speed, flow, and density are the most effectiveness traffic parameters. For the study area, all required speed-flow data were collected manually by special team using the necessary survey equipment from 11:00am-6:00pm during one week within different days for each direction of Al-Doura Expressway in Baghdad city. Greenshield Model (GSM) and Greenberg Model (GBM) have been analyzed using EXCEL software to compare the implementation results of the real data. The calibration of regression analysis studies were used and the statistical coefficient of person's correlation (R) and coefficient of determination (R2) were computed. It was found the following: For the direction of Baghdad greater bridge to Al-Rasheed camp, models according to GSM and GBM are us=110.84–0.37k and us=59.24ln(320.72/k) respectively. For the second direction, the models are us=64.04–0.10k and us=11.99ln(2937.5/k) respectively. All models are achieved strong correlation between variables ( between 0.88-0.98, and high R2 between 0.77-0.97). The models according to Greenberg ascertain better fit due to values between 0.95-0.98 and due to R2 values between 0.90-0.97 which are closest to 1.00 and these represent the coefficients for the first and second directions respectively. Finally, u0 and k0 at maximum flow have been considered based on GBM showing that the traffic capacity equal to 6990.08 and 12959.17 vph for the two sides. This mean that Al-Doura Expressway serve the study area with a 35-65 of directional split. This distribution of traffic between the two directions is nearly coincide with the distribution of the real data 34.6-65.4.
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交通流模型比较研究——以巴格达Al-Doura高速公路为例
速度、流量和密度是最有效的交通参数。在研究区,所有所需的速度流量数据都是由专门小组使用必要的测量设备在一周内不同的时间内从11:00am-6:00pm对巴格达市内Al-Doura高速公路的每个方向进行人工采集的。利用EXCEL软件对Greenshield模型(GSM)和Greenberg模型(GBM)进行了分析,比较了实际数据的实现结果。采用回归分析研究的校正方法,计算人相关统计系数(R)和决定系数(R2)。结果表明:巴格达大桥至Al-Rasheed营地方向,根据GSM和GBM模型分别为us= 110.84-0.37k和us=59.24ln(320.72/k)。第二个方向的模型分别为us= 64.04-0.10k和us=11.99ln(2937.5/k)。各模型变量之间均实现了强相关(0.88-0.98之间,高R2 0.77-0.97之间)。根据Greenberg的模型,由于0.95-0.98之间的值和0.90-0.97之间的R2值最接近1.00,它们分别代表了第一个和第二个方向的系数,因此确定了更好的拟合。最后,基于GBM考虑最大流量时的u0和k0,得到双方的通行能力分别为6990.08和12959.17 vph。这意味着Al-Doura高速公路以35-65的方向分隔服务于研究区域。这两个方向之间的流量分布与实际数据34.6-65.4的分布几乎一致。
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