1 Introduction 1.1Motivation 1.2Objectives 1.3Contributions 1.4Organization 2 Literature Review 2.1Introduction 2.2Historical Development of Traffic Flow Theory 2.2.1Macroscopic Modeling 2.2.2Mesoscopic Modeling 2.2.3Microscopic Modeling 2.2.4Stochastic Modeling 2.3Probabilistic Headway/Spacing Distributions 2.3.1Simple Univariable Distributions 2.3.2Compositional Distributions 2.3.3Mixed Distributions 2.3.4Random Matrix Model 2.4Summary 3 Empirical Observations of Stochastic and Dynamic Evolutions of Traffic Flow 3.1Introduction 3.2Characteristics of Headway/Spacing/Velocity 3.3Congested Platoon Oscillations 3.4Time-Frequency Properties 3.5Summary 4 A Markov Model Based on Headway/Spacing Distributions 4.1Introduction 4.2A Markov Model for Headway/Spacing Distributions ……
