Stochastic evolutions of dynamic traffic flow : modeling and applications /

Stochastic evolutions of dynamic traffic flow : modeling and applications /

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Bibliographic Details
Author / Creator:Chen, Xiqun, author.
Imprint:Heidelberg : Springer, [2014]
©2015
Description:1 online resource (xix, 193 pages) : illustrations (some color)
Language:English
Subject:
Traffic flow -- Mathematical models.
Stochastic processes.
Stochastic processes.
Traffic flow -- Mathematical models.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11088155
Hidden Bibliographic Details
Other authors / contributors:Li, Li, author.
Shi, Qixin, author.
ISBN:9783662445723
3662445727
9783662445716
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed September 29, 2014).
Summary:This book reveals the underlying mechanisms of complexity and stochastic evolutions of traffic flows. Using Eulerian and Lagrangian measurements, the authors propose lognormal headway/spacing/velocity distributions and subsequently develop a Markov car-following model to describe drivers' random choices concerning headways/spacings, putting forward a stochastic fundamental diagram model for wide scattering flow-density points. In the context of highway onramp bottlenecks, the authors present a traffic flow breakdown probability model and spatial-temporal queuing model to improve the stability.
Other form:Print version: Chen, Xiqun (Michael). Stochastic Evolutions of Dynamic Traffic Flow : Modeling and Applications. Berlin, Heidelberg : Springer Berlin Heidelberg, ©2014 9783662445716
Standard no.:10.1007/978-3-662-44572-3
Table of Contents:
  • Preface; Contents; Acronyms; 1 Introduction; 1.1 Motivation; 1.2 Objectives; 1.3 Contributions; 1.4 Organization; 2 Literature Review; 2.1 Introduction; 2.2 Historical Development of Traffic Flow Theory; 2.2.1 Macroscopic Modeling; 2.2.2 Mesoscopic Modeling; 2.2.3 Microscopic Modeling; 2.2.4 Stochastic Modeling; 2.3 Probabilistic Headway/Spacing Distributions; 2.3.1 Simple Univariable Distributions; 2.3.2 Compositional Distributions; 2.3.3 Mixed Distributions; 2.3.4 Random Matrix Model; 2.4 Summary; 3 Empirical Observations of Stochastic and Dynamic Evolutions of Traffic Flow.
  • 3.1 Introduction3.2 Characteristics of Headway/Spacing/Velocity; 3.3 Congested Platoon Oscillations; 3.4 Time-Frequency Properties; 3.5 Summary; 4 A Markov Model Based on Headway/Spacing Distributions; 4.1 Introduction; 4.2 A Markov Model for Headway/Spacing Distributions; 4.2.1 Background; 4.2.2 Markov-Process Simulation Models; 4.2.3 Simulation Results; 4.2.4 Discussions; 4.3 Asymmetric Stochastic Tau Theory in Car-Following; 4.3.1 Asymmetric Stochastic Extension of the Tau Theory; 4.3.2 Testing Results; 4.3.3 Discussions.
  • 5 Stochastic Fundamental Diagram Based on Headway/Spacing Distributions5.1 Introduction; 5.2 Newell's Simplified Model and Its Stochastic Extension; 5.3 The Homogeneous Platoon Model; 5.3.1 Basic Idea; 5.3.2 Summation of Lognormal Random Variables; 5.3.3 Average Headway Distribution; 5.3.4 Model Validation; 5.3.5 Sensitivity Analysis; 5.4 The Heterogeneous Platoon Model; 5.4.1 Average Headway Distribution; 5.4.2 Validation; 5.4.3 Boundaries of Congested Flows; 5.5 Summary; 6 Traffic Flow Breakdown Model Based on Headway/Spacing Distributions; 6.1 Introduction.
  • 6.2 Nonparametric Lifetime Statistics Approach6.3 Queueing Models for Breakdown Probability; 6.3.1 Backgrounds; 6.3.2 Some Previous Models; 6.3.3 G/G/1 Queueing Model; 6.3.4 Discussions; 6.3.5 Model Validation; 6.3.6 Summary; 6.4 Phase Diagram Analysis; 6.4.1 Backgrounds; 6.4.2 The Spatial-Temporal Queueing Model; 6.4.3 The Analytical Solution for Phase Diagram; 6.4.4 Numerical Example; 6.5 Discussions; 7 Conclusions and Future Work; Appendix A Linear Stability Analysis of the Higher-Order Macroscopic Model; Appendix B Linear Stability Analysis of the Multi-Anticipative Car-Following Models.

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