Introduction to Network Traffic Flow Theory
Principles, Concepts, Models, and Methods
- 1st Edition - April 13, 2021
- Imprint: Elsevier
- Author: Wen-Long Jin
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 1 5 8 4 0 - 1
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 1 5 8 4 1 - 8
Introduction to Network Traffic Flow Theory: Principles, Concepts, Models, and Methods provides a comprehensive introduction to modern theories for modeling, mathematical analysis… Read more
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Request a sales quoteIntroduction to Network Traffic Flow Theory: Principles, Concepts, Models, and Methods provides a comprehensive introduction to modern theories for modeling, mathematical analysis and traffic simulations in road networks. The book breaks ground, addressing traffic flow theory in a network setting and providing researchers and transportation professionals with a better understanding of how network traffic flows behave, how congestion builds and dissipates, and how to develop strategies to alleviate network traffic congestion. The book also shows how network traffic flow theory is key to understanding traffic estimation, control, management and planning.
Users wills find this to be a great resource on both theory and applications across a wide swath of subjects, including road networks and reduced traffic congestion.
- Covers the most theoretically and practically relevant network traffic flow theories
- Provides a systematic introduction to traditional and recently developed models, including cell transmission, link transmission, link queue, point queue, macroscopic and microscopic models, junction models and network stationary states
- Applies modern network traffic flow theory to real-world applications in modeling, analysis, estimation, control, management and planning
1) Academic researchers and graduate students in transportation modeling, planning and systems 2) Transportation practitioners involved in planning, feasibility studies, consultation and policy for transportation systems or infrastructure, 3) Transportation public officials such as city managers, policy directors, etc.
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Preface
- Acknowledgments
- Acronyms
- Notations
- Part I: Basics
- Introduction
- Chapter 1: Introduction
- Abstract
- 1.1. Transportation system analysis
- 1.2. Traffic flow theory
- 1.3. Principles, concepts, models, and methods in traffic flow theory
- 1.4. A brief overview of the book
- Notes
- Problems
- Bibliography
- Chapter 2: Definitions of variables
- Abstract
- 2.1. Three traffic scenarios and space-time diagrams
- 2.2. The three-dimensional representation of traffic flow and primary variables
- 2.3. More derived variables in three coordinates
- 2.4. Detection
- 2.5. Multi-commodity traffic on a multilane road
- Notes
- Problems
- Bibliography
- Chapter 3: Basic principles
- Abstract
- 3.1. Conservation laws
- 3.2. Collision-free condition and other first-order constraints
- 3.3. Fundamental diagram
- 3.4. Bounded acceleration and higher-order constraints
- Notes
- Problems
- Bibliography
- Chapter 4: Basic concepts
- Abstract
- 4.1. Steady states
- 4.2. The simple lead-vehicle problem
- 4.3. Stationary states
- 4.4. Bottlenecks on a road
- 4.5. First-in-first-out (FIFO)
- 4.6. First-in-first-out and unifiable equilibrium states
- Notes
- Problems
- Bibliography
- Part II: First-order models
- Introduction
- Chapter 5: The Lighthill-Whitham-Richards (LWR) model
- Abstract
- 5.1. Model derivation
- 5.2. Extensions
- 5.3. The initial value problem with the triangular fundamental diagram and linear transport equation
- 5.4. General fundamental diagram and characteristic wave
- 5.5. Solutions to the Riemann problem, shock and rarefaction waves, and entropy condition
- 5.6. Stationary states and boundary fluxes in Riemann solutions
- 5.7. Inhomogeneous LWR model
- 5.8. An example with a moving bottleneck
- Notes
- Problems
- Bibliography
- Chapter 6: The Cell Transmission Model (CTM)
- Abstract
- 6.1. Numerical methods for solving the LWR model
- 6.2. The Cell Transmission Model
- 6.3. Stationary states on a link
- 6.4. Numerical solutions to the Riemann problem
- 6.5. Generalized CTM for link traffic
- 6.6. Junction models
- Notes
- Problems
- Bibliography
- Chapter 7: Newell's simplified kinematic wave model
- Abstract
- 7.1. The Hamilton-Jacobi equations and the Hopf-Lax formula for the LWR model
- 7.2. Newell's simplified kinematic wave model
- 7.3. Queueing dynamics on a road segment
- Notes
- Problems
- Bibliography
- Chapter 8: The Link Transmission Model (LTM)
- Abstract
- 8.1. Basic variables
- 8.2. New link variables: link demand, supply, queue, and vacancy
- 8.3. Continuous Link Transmission Model
- 8.4. Discrete Link Transmission Model
- 8.5. Homogeneous signalized road networks
- 8.6. Stationary states on a link
- Notes
- Problems
- Bibliography
- Chapter 9: Newell's simplified car-following model
- Abstract
- 9.1. Derivation
- 9.2. Properties
- 9.3. Applications
- Notes
- Problems
- Bibliography
- Part III: Queueing models
- Introduction
- Chapter 10: The link queue model
- Abstract
- 10.1. Link density, demand, and supply
- 10.2. Link queue model
- 10.3. Well-defined and collision-free conditions
- 10.4. Simple boundary value problem
- 10.5. Applications and extensions
- Notes
- Problems
- Bibliography
- Chapter 11: Point queue model
- Abstract
- 11.1. Derivation
- 11.2. Equivalent formulations
- 11.3. Properties
- 11.4. Departure time choice at a single bottleneck
- Notes
- Problems
- Bibliography
- Chapter 12: The bathtub model
- Abstract
- 12.1. A unified space dimension
- 12.2. Definitions of network-wide trip variables
- 12.3. Three conservation equations
- 12.4. Three simplification assumptions
- 12.5. Bathtub models
- 12.6. Numerical methods
- Notes
- Problems
- Bibliography
- Bibliography
- Bibliography
- Index
- Edition: 1
- Published: April 13, 2021
- Imprint: Elsevier
- No. of pages: 282
- Language: English
- Paperback ISBN: 9780128158401
- eBook ISBN: 9780128158418
WJ
Wen-Long Jin
Wenlong Jin is an Associate Professor in the Institute of Transportation Studies, at the University of California, Irvine, focusing on the study of drivers' individual choice behaviours (trajectories) and collective queueing processes (cumulative flows). His research interests include modeling and analysing dynamic and stationary traffic patterns at bottlenecks in road networks, using junction models, cell transmission models, link transmission models, capacity drop models, and network stationary models. He has published more than 40 journal articles, including in Elsevier’s Transportation Research Part B: Methodological (for which he serves on the Editorial Advisory Board), and Transportation Research Part C: Emerging Technologies.
Affiliations and expertise
The Institute of Transportation Studies, University of California, Irvine, California, USARead Introduction to Network Traffic Flow Theory on ScienceDirect