Stochastic evolutions of dynamic traffic flow : modeling and applications /: modeling and applications. ([2014])

• Record Type: Book
• Further Information: Note: Xiqun (Michael) Chen, Li Li, Qixin Shi.
• Authors: Chen, Xiqun; Li, Li; Shi, Qixin
• 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.
• Publisher Details: Heidelberg : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xix, 193 pages), illustrations (some color)
• Subjects: 388.4/131; Traffic flow -- Mathematical models; Stochastic processes; BUSINESS & ECONOMICS -- Industries -- Transportation; TRANSPORTATION -- Public Transportation; Stochastic processes; Traffic flow -- Mathematical models; Electronic books
• Languages: English
• ISBNs: 9783662445723; 3662445727; 3662445719; 9783662445716
• Related ISBNs: 9783662445716
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed September 29, 2014).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.