This paper presents a behavioral car following model, named the chained asymmetric behavior model, that improves on the asymmetric behavior model. This model is inspired by the empirical observation that vehicles react proportionately to the magnitude of disturbance experienced when traversing through a stop-and-go oscillation, deviating from a constant following behavior observed in equilibrium conditions. Findings from simulation experiments suggest that this “second-order” effect significantly affects traffic throughput and evolution under disturbances. Knowledge obtained from the model is leveraged toward designing control for connected automated vehicles in mixed traffic streams.
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References
1.
ChenD.AhnS.LavalJ.ZhengZ.On the Periodicity of Traffic Oscillations and Capacity Drop: The Role of Driver Characteristics. Transportation Research Part B: Methodological, Vol. 59, 2014, pp. 117–136.
2.
Bilbao-UbillosJ.The Costs of Urban Congestion: Estimation of Welfare Losses Arising from Congestion on Cross-Town Link Roads. Transportation Research Part A: Policy and Practice, Vol. 42, No. 8, 2008, pp. 1098–1108.
3.
ZhengZ.AhnS.MonsereC. M.Impact of Traffic Oscillations on Freeway Crash Occurrences. Accident Analysis and Prevention, Vol. 42, No. 2, 2010, pp. 626–636.
4.
EdieL. C.Car-Following and Steady-State Theory for Non-Congested Traffic. Operations Research, Vol. 9, No. 1, 1961, pp. 66–76.
5.
AhnS.CassidyM. J.Freeway Traffic Oscillations and Vehicle Lane-Changing Maneuvers. Proc., 17th International Symposium on Transportation and Traffic Flow Theory, London, 2007, pp. 691–710.
6.
AhnS.Growth of Oscillations in Queued Traffic. PhD thesis. Department of Civil Engineering, University of California, Berkeley, CA, 2005.
7.
LavalJ.Stochastic Processes of Moving Bottlenecks: Approximate Formulas for Highway Capacity. Transportation Research Record: Journal of the Transportation Research Board, 2006. 1988: 86–91.
8.
LavalJ. A.DaganzoC. F.Lane-Changing in Traffic Streams. Transportation Research Part B: Methodological, Vol. 40, No. 3, 2006, pp. 251–264.
9.
MauchM.CassidyM. J.Freeway Traffic Oscillations: Observations and Predictions. Proc., 15th International Symposium on Transportation and Traffic flow Theory, University of South Australia, Adelaide, 2002, pp. 653–673.
10.
ZhengZ.AhnS.ChenD.LavalJ.Applications of Wavelet Transform for Analysis of Freeway Traffic: Bottlenecks, Transient Traffic, and Traffic Oscillations. Transportation Research Part B: Methodological, Vol. 45, No. 2, 2011, pp. 372–384.
11.
ZhengZ.AhnS.ChenD.LavalJ.Freeway Traffic Oscillations: Microscopic Analysis of Formations and Propagations using Wavelet Transform. Proc., 19th International Symposium on Transportation and Traffic flow Theory, University of California, Berkeley, CA, 2011, pp. 717–731.
12.
ChandlerR.HermanR.MontrollE.Traffic Dynamics: Studies in Car Following. Operations Research, Vol. 6, No. 2, 1958, pp. 165–184.
13.
HermanR.MontrollE.PottsR.RotheryR.Traffic Dynamics: Analysis of Stability in Car Following. Operations Research, Vol. 7, No. 1, 1959, pp. 86–106.
14.
WilsonR. E.Mechanisms for Spatio-Temporal Pattern Formation in Highway Traffic Models. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, No. 1872, 2008, pp. 2017–2032.
15.
WilsonR. E.WardJ. A.Car-Following Models: Fifty Years of Linear Stability Analysis – A Mathematical Perspective. Transportation Planning and Technology, Vol. 34, No. 1, 2011, pp. 3–18.
16.
TreiberM.KestingA.Evidence of Convective Instability in Congested Traffic Flow: A Systematic Empirical and Theoretical Investigation. Transportation Research Part B: Methodological, Vol. 45, No. 9, 2011, pp. 1362–1377.
17.
LiX.OuyangY.Characterization of Traffic Oscillation Propagation under Nonlinear Car-Following Laws. Procedia-Social and Behavioral Sciences, Vol. 17, 2011, pp. 663–682.
18.
PengG. H.ChengR. J.A New Car-Following Model with the Consideration of Anticipation Optimal Velocity. Physica A: Statistical Mechanics and its Applications, Vol. 392, No. 17, 2013, pp. 3563–3569.
19.
XuX.PangJ.MonterolaC.Asymmetric Optimal-Velocity Car-Following Model. Physica A: Statistical Mechanics and its Applications, Vol. 436, 2015, pp. 565–571.
20.
TreiberM.HenneckeA.HelbingD.Congested Traffic States in Empirical Observations and Microscopic Simulations. Physical Review E, Vol. 62, No. 2, 2000, p. 1805.
21.
HelbingD.HenneckeA.ShvetsovV.TreiberM.Micro-and Macro-Simulation of Freeway Traffic. Mathematical and Computer Modelling, Vol. 35, No. 5–6, 2002, pp. 517–547.
22.
HoogendoornS.HoogendoornR.Calibration of Microscopic Traffic-Flow Models using Multiple Data Sources. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, No. 1928, 2010, pp. 4497–4517.
23.
KestingA.TreiberM.HelbingD.Enhanced Intelligent Driver Model to Access the Impact of Driving Strategies on Traffic Capacity. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, No. 1928, 2010, pp. 4585–4605.
24.
OssenS.HoogendoornS. P.Heterogeneity in Car-Following Behavior: Theory and Empirics. Transportation Research Part C: Emerging Technologies, Vol. 19, No. 2, 2011, pp. 182–195.
25.
HoogendoornS. P.OssenS.SchreuderM.Empirics of Multianticipative Car-Following Behavior. Transportation Research Record: Journal of the Transportation Research Board, 2006. 1965: 112–120.
26.
HelbingD.Traffic and Related Self-Driven Many-Particle Systems. Reviews of Modern Physics, Vol. 73, No. 4, 2001, p. 1067.
27.
KraußS.WagnerP.GawronC.Metastable States in a Microscopic Model of Traffic Flow. Physical Review E, Vol. 55, No. 5, 1997, p. 5597.
28.
LeeH. Y.LeeH. W.KimD.Origin of Synchronized Traffic Flow on Highways and its Dynamic Phase Transitions. Physical Review Letters, Vol. 81, No. 5, 1998, p. 1130.
29.
GasserI.SiritoG.WernerB.Bifurcation Analysis of a Class of ‘Car Following’ Traffic Models. Physica D: Nonlinear Phenomena, Vol. 197, No. 3–4, 2004, pp. 222–241.
30.
HelbingD.MoussaidM.Analytical Calculation of Critical Perturbation Amplitudes and Critical Densities by Non-Linear Stability Analysis of a Simple Traffic Flow Model. The European Physical Journal B, Vol. 69, No. 4, 2009, pp. 571–581.
31.
IgarashiY.ItohK.NakanishiK.OguraK.YokokawaK.Bifurcation Phenomena in the Optimal Velocity Model for Traffic Flow. Physical Review E, Vol. 64, No. 4, 2001, p. 047102.
32.
OroszG.WilsonR. E.SzalaiR.StépánG.Exciting Traffic Jams: Nonlinear Phenomena Behind Traffic Jam Formation on Highways. Physical Review E, Vol. 80, No. 4, 2009, p. 046205.
33.
OroszG.WilsonR. E.StépánG.Traffic Jams: Dynamics and Control. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, No. 1928, 2010, pp. 4455–4479.
34.
LavalJ. A.LeclercqL.A Mechanism to Describe the Formation and Propagation of Stop-and-Go Waves in Congested Freeway Traffic. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, No. 1928, 2010, pp. 4519–4541.
35.
ChenD.LavalJ.AhnS.ZhengZ.Microscopic Traffic Hysteresis in Traffic Oscillations: A Behavioral Perspective. Transportation Research Part B: Methodological, Vol. 46, 2012, pp. 1440–1453.
36.
ChenD.LavalJ.ZhengZ.AhnS.A Behavioral Car-Following Model that Captures Traffic Oscillations. Transportation Research Part B: Methodological, Vol. 46, 2012, pp. 744–761.
37.
NewellG. F.A Simplified Car-Following Theory: A Lower Order Model. Transportation Research Part B: Methodological, Vol. 36, No. 3, 2002, pp. 195–205.
38.
LighthillM. J.WhithamG. B.On Kinematic Waves I. Flood Movement in Long Rivers. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, Vol. 229, No. 1178, 1955, pp. 281–316.
39.
RichardsP. I.Shock Waves on the Highway. Operations Research, Vol. 4, No. 1, 1956, pp. 42–51.
