Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (5): 1459-1464.doi: 10.13229/j.cnki.jdxbgxb20180752

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Saturation flow rate estimation method of approaching lanes at signalized intersections

Yi-ming BIE1,2(),Ru-ru TANG2,Yun-hao WANG3,Bin WEN4,Tian-jun FENG5(),Lin-hong WANG1   

  1. 1. College of Transportation, Jilin University, Changchun 130022, China
    2. School of Transportation Science and Engineering, Harbin Institute of Technology, Harbin 150090, China
    3. School of Economics, Northeast Normal University, Changchun 130117, China
    4. School of Information Science and Technology, Northeast Normal University, Changchun 130117, China
    5. School of Transportation Science and Engineering, Jilin Jianzhu University, Changchun 130118, China
  • Received:2018-07-20 Online:2019-09-01 Published:2019-09-11
  • Contact: Tian-jun FENG E-mail:yimingbie@126.com;68202791@qq.com

Abstract:

To accurately estimate the saturation flow rates of approaching lanes at signalized intersections, the headways obtained in peak hours are expressed by time series. The steady state test method is proposed based on PP test. The abnormal headways of the approaching lane during green time are deleted to obtain the saturation headways. The saturation flow rate is estimated using the average value of saturation headways. The three through lanes of a typical signalized intersection in Changchun city are taken as examples to validate the proposed method, and the method is compared with classical Highway Capacity Manual (HCM) method. The results show that the proposed method in this paper can estimate the saturation headways accurately; the estimated saturation flow rate ranges from 1700 pcu/h to 1900 pcu/h, which are higher than that of HCM method.

Key words: traffic and transportation systems engineering, saturation flow rate, time headway, steady state test, estimation method

CLC Number: 

  • U491

Fig.1

Scatter diagram of vehicle headways at signalized intersection"

Table 1

Threshold values of statistics"

kT
2550100250500
0.010-3.75-3.58-3.51-3.46-3.44-3.43
0.025-3.33-3.22-3.17-3.14-3.13-3.12
0.050-3.00-2.93-2.89-2.88-2.87-2.86
0.100-2.63-2.60-2.58-2.57-2.57-2.57
0.900-0.37-0.40-0.42-0.42-0.43-0.44
0.9500.00-0.03-0.05-0.06-0.07-0.07
0.9750.340.290.260.240.240.23
0.9900.720.660.630.620.610.60

Table 2

Threshold values of statistics"

kT
2550100150200
0.005-3.72-3.58-3.47-3.44-3.42-3.37
0.025-2.98-2.91-2.86-2.85-2.82-2.83
0.050-2.64-2.58-2.55-2.54-2.53-2.53
0.9502.512.532.552.582.552.54
0.9752.862.892.892.902.882.88
0.9953.573.593.503.573.573.57

Fig.2

Channelization of intersection"

Table 3

Numbers of headway samples of three lanes for four days"

星期车道6车道9车道12
304206250
290192248
282190231
284182223

Table 4

Numbers of headway samples before and after steady state test"

参数车道6车道9车道12
稳态检验前304206250
稳态检验后201165169
差值1034181

Fig.3

Saturation headway from method of steady state test method and HCM method"

Table 5

Percentages of headway intervals from"

车道编号1~2 s2~3 s3~4 s>4 s
639.642.212.55.5
951.037.810.21.0
1232.045.212.410.4

Table 6

Percentages of headway intervals from method of steady state test"

车道编号1~2 s2~3 s3~4 s>4 s
660.339.70.00.0
963.836.20.00.0
1248.551.50.00.0

Table 7

Saturation flow rate and difference values"

参 数车道6车道9车道12
稳态检验方法188919001773
HCM方法153016881366
差值359212407

Fig.4

Saturation rate from method of steady state test method and HCM method for lane 6"

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