Title Stochastic evolutions of dynamic traffic flow : modeling and applications / Xiqun (Michael) Chen, Li Li, Qixin Shi

Published Heidelberg : Springer, [2014] ©2015

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Description 1 online resource (xix, 193 pages) : illustrations (some color) 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 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 Analysis computerwetenschappen computer sciences engineering civiele techniek civil engineering biofysica biophysics Engineering (General) Techniek (algemeen) Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (SpringerLink, viewed September 29, 2014) Subject Traffic flow -- Mathematical models Stochastic processes. BUSINESS & ECONOMICS -- Industries -- Transportation. TRANSPORTATION -- Public Transportation. Stochastic processes Traffic flow -- Mathematical models Form Electronic book Author Li, Li, author Shi, Qixin, author ISBN 9783662445723 3662445727 3662445719 9783662445716

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