Abstract
The stationary headway/spacing distribution models in Chap. 2 have been often criticized for neglecting the dynamic role of traffic Bovy (2001). A modern view accepted by many researchers is: the explicit distribution observed in practice should be a reflection of the implicit interaction between vehicles. The fact that some stationary distribution models are only suitable for free flow is because the interactions between consecutive vehicles are relatively weak and neglectable in free flow.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The aggregation technique is a useful tool in Markov processes modeling and analysis. It removes some unnecessary details from the original complete Markov process and generates a simpler model still with good approximation accuracy.
- 2.
Actually, this division plan implies to the division of free flow, congestion flow, and the middle states.
- 3.
It is allowed to choose nonuniform aggregation length here. Since the aggregation method is not our main focus, we neglect the related discussions here.
- 4.
A benefit of Markov model is that we can fit almost any kind of empirical distributions. In other words, we can allow the steady-state distribution to be the more generic \(\Gamma \) distribution.
- 5.
Another frequently mentioned driving feature, random deceleration, has been directly embedded in the proposed model as the Markov-type transitions from a smaller headway to a larger headway.
- 6.
It should be pointed out that different trajectory data are used in this section and Panwai and Dia (2005), which may influence the values of RMSE and EM, too.
- 7.
Weber, E. H. is one of the earliest researchers who quantitatively studied the relationship between the magnitude of stimuli and the perceived intensity of the stimuli. Then, Fechner, G. T. gave a math form of Weber’s findings, which we now call the Weber-Fechner Law (Deco et al. 2007).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Chen, X., Li, L., Shi, Q. (2015). A Markov Model Based on Headway/Spacing Distributions. In: Stochastic Evolutions of Dynamic Traffic Flow. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44572-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-662-44572-3_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44571-6
Online ISBN: 978-3-662-44572-3
eBook Packages: EngineeringEngineering (R0)