Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (7): 1951-1961.doi: 10.13229/j.cnki.jdxbgxb.20211061

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Dynamic road resistance model of intermittent flow on urban roads based on BPR function

Dian-hai WANG(),You-wei HU,Zheng-yi CAI,Jia-qi ZENG,Wen-bin YAO   

  1. Intelligent Transportation Research Institute,Zhejing University,Hangzhou 310058,China
  • Received:2021-10-18 Online:2023-07-01 Published:2023-07-20

Abstract:

In view of the limitation of BPR (Bereau of Public Roads) function that it is not suitable for oversaturated traffic flow and does not meet the characteristics of urban intermittent flow, some improvements have been made. The paper redefines the traffic demand, and proposes a dynamic resistance function form of urban road intermittent flow that takes into account the influence of upstream and downstream signal timing. Based on the data obtained by VISSIM road section simulation, the SMOTE oversampling algorithm is used to balance the simulation data set, and the improved road resistance function is calibrated. Our research shows that adding three variables which include percentage of green wave ω, green split for downstream research phase sg, and steering factor sl into the BPR function can simultaneously reflect the influence of signal timing and traffic demand on travel time. In the case of zero traffic flow, the zero-flow travel time is related with the percentage of green wave ω. With the increase of ω, the degree of coordination increases, and the zero-flow travel time decreases.

Key words: transportation planning and management, traffic demand, dynamic road resistance, signal timing, coordination, travel time

CLC Number: 

  • U491

Fig.1

Statistical distribution of traffic volume and travel time of a certain road segment in different periods"

Fig.2

Diagram of definition of transportation demand"

Fig.3

Ratio of green wave width between upstreamand downstream intersections"

Fig.4

Model application flow chart"

Fig.5

Experimental section"

Table 1

Flow input of simulated road section"

流量方案方向1方向2方向3
14642754
293854107
31391280161
4(真实情况)1851707214
52312134268
62782561321
73242987375
83703414428
94163841482
104634268535
119242754
12186854107
132781280161
143701707214
154622134268
165562561321
176482987375
187403414428
198323841482
209264268535
2110184694589

Table 2

Signal timing scheme"

上游直行相位绿灯时长/s

上游周

期时长

/s

下游直行相位绿灯时长/s

下游周

期时长

/s

直行相位的相位差

/s

8018050180[0,10,20,…,180]
8018060180[0,10,20,…,180]
8018070180[0,10,20,…,180]
8018080180[0,10,20,…,180]
7018080180[0,10,20,…,180]

Fig.6

Scatter plot of simulation data"

Fig.7

Fitting diagram of simulation results"

Table 3

Signal timing scheme Error comparison"

项目自变量R2MAEMAPERMSE
BPR函数流量0.21926.8960.39937.816
交通需求0.73219.6340.25826.015
本文模型流量0.61215.3270.23023.723
交通需求0.8589.8350.16114.327

Fig.8

Comparison of calculation results of averagetravel time"

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