Reaction time, driver sensitivity, and time headway are traffic parameters that are critical for understanding and modeling traffic stability and wave propagation. Both theoretical and empirical relationships between these three parameters are examined with vehicle trajectory data. A few clear and distinct relationships are identified, and driver reaction time is found to be closely related to time headway, especially in the deceleration phase. Time headway can be accurately predicted when reaction time and the initial time headway are known. In a traffic simulation, a range of values also exists for the product of driver sensitivity and reaction time to avoid unrealistic speed fluctuations and collisions.
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References
1.
EdieL. C., and BaverezE.Generation and Propagation of Stop-Start Traffic Waves. Proc., 3rd International Symposium on the Theory of Traffic Flow, Operations Research Society of America, New York, 1967, pp. 26–37.
2.
KoshiM., IwasakiM., and OkuraI.Some Findings and an Overview on Vehicular Flow Characteristics. Proc., 8th International Symposium on Transportation and Traffic Flow Theory, University of Toronto Press, Toronto, Ontario, Canada, 1983, pp. 403–426.
3.
KernerB. S.Experimental Features of Self-Organization in Traffic Flow. Physical Review Letters, Vol. 81, No. 17, 1998, pp. 3797–3800.
4.
WindoverJ. R.Some Observed Details of Freeway Traffic Evolution. Transportation Research Part A, Vol. 35, No. 10, 2001, pp. 881–894.
5.
Del CastilloJ. M.Propagation of Perturbation in Dense Traffic Flow: A Model and Its Implications. Transportation Research Part B, Vol. 35, No. 4, 2001, pp. 367–389.
6.
NewellG. F.A Simplified Car-Following Theory: A Lower Order Model. Transportation Research Part B, Vol. 36, No. 3, 2002, pp. 195–205.
7.
KimT., and ZhangH. M.A Stochastic Wave Propagation Model. Transportation Research Part B, Vol. 42, No. 7-8, 2008, pp. 619–634.
8.
ChandlerR. E., HermanR., and MontrollW.Traffic Dynamics: Studies in Car-Following. Operations Research, Vol. 6, 1958, pp. 165–184.
9.
GazisD. C., HermanR., and PottsR. B.Car-Following Theory of Steady-State Traffic Flow. Operations Research, Vol. 7, 1959, pp. 499–505.
10.
EdieL. C.Car Following and Steady State Theory for Non-Congested Traffic. Operations Research, Vol. 9, 1961, pp. 66–76.
11.
GazisD. C., HermanR., and RotheryR. W.Nonlinear Follower-the-Leader Models of Traffic Flow. Operations Research, Vol. 9, 1961, pp. 545–565.
12.
BrackstoneM., and MacDonaldM.Car Following: A Historical Review. Transportation Research Part F, Vol. 2, No. 4, 1999, pp. 181–196.
13.
JohanssonG., and RummerK.Drivers’ Brake Reaction Time. Human Factors, Vol. 13, No. 1, 1971, pp. 23–27.
14.
OzakiH.Reaction and Anticipation in the Car-Following Behavior. Proc., 12th International Symposium on the Theory of Traffic Flow and Transportation, Berkeley, Calif., 1993, pp. 349–366.
15.
FambroD. B., KoppaR. J., PichaD. L., and FitzpatrickK.Driver Perception–Brake Response in Stopping Sight Distance Situations. In Transportation Research Record 1628, TRB, National Research Council, Washington, D.C., 1998, pp. 1–7.
16.
RanjitkarP., NakatsujiT., AzutaY., and GurusingheG. S.Stability Analysis Based on Instantaneous Driving Behavior Using Car-Following Data. In Transportation Research Record: Journal of the Transportation Research Board, No. 1852, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 140–151.
17.
OssenS., and HoogendoornS. P.Car-Following Behavior Analysis from Microscopic Trajectory Data. In Transportation Research Record: Journal of the Transportation Research Board, No. 1934, Transportation Research Board of the National Academies, Washington, D.C., 2005, pp. 13–21.
18.
HoogendoornS. P., and BovyP. H. L.New Estimation Technique for Vehicle-Type-Specific Headway Distributions. In Transportation Research Record 1646, TRB, National Research Council, Washington, D.C., 1998, pp. 18–28.
19.
FanY., and ZhangY.Vehicle Type–Specific Headway Analysis Using Freeway Traffic Data. In Transportation Research Record: Journal of the Transportation Research Board, No. 2124, Transportation Research Board of the National Academies, Washington, D.C., 2009, pp. 222–230.
20.
AhmedK. I.Modeling Drivers’ Acceleration and Lane Changing Behavior. PhD dissertation. Massachusetts Institute of Technology, Cambridge, 1999.
21.
HoogendoornS. P., OssenS., and SchreuderM.Empirics of Multi-anticipative Car-Following Behavior. In Transportation Research Record: Journal of the Transportation Research Board, No. 1965, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 112–120.
22.
MaX., and AndreassonI.Statistical Analysis of Driver Behavior Data in Different Regimes of the Car-Following Stage. In Transportation Research Record: Journal of the Transportation Research Board, No. 2018, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 87–96.
23.
Del CastilloJ. M.The Reaction Time of Drivers and the Stability of Traffic Flow. Transportation Research Part B, Vol. 28, No. 1, 1994, pp. 35–60.
24.
HollandE. N.A Generalized Stability Criterion for Motorway Traffic. Transportation Research Part B, Vol. 32, No. 2, 1998, pp. 141–154.
25.
FerrariP.The Instability of Motorway Traffic. Transportation Research Part B, Vol. 28, No. 2, 1994, pp. 175–186.
26.
PipesL. A.An Operational Analysis of Traffic Dynamics. Journal of Applied Physics, Vol. 24, No. 3, 1953, pp. 274–287.
27.
ZhangH. M., and KimT.A Car-Following Theory for Multiphase Vehicular Traffic Flow. Transportation Research Part B, Vol. 39, No. 5, 2005, pp. 385–399.
28.
NGSIM Fact Sheet. FHWA-HRT-06-135. FHWA, U.S. Department of Transportation, 2006.
