Dynamics and Stochasticity in Transportation Systems Part II
Equations and Examples
- 1st Edition - November 15, 2023
- Authors: Giulio E Cantarella, Chiara Fiori, Lorenzo Mussone
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 1 9 7 9 - 5
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 1 9 7 8 - 8
Dynamics and Stochasticity in Transportation Systems Part II: Equations and Examples goes beyond theory and mathematical models to give readers a practical understanding of dynami… Read more
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Request a sales quoteDynamics and Stochasticity in Transportation Systems Part II: Equations and Examples goes beyond theory and mathematical models to give readers a practical understanding of dynamic and stochastic assignment modeling approaches in transportation systems. After an introduction in Chapter One, following chapters present recent advances, reviews of contents of the corresponding chapters in Giulio Cantarella’s previous book, discussions on numerical examples, comprehensive summaries, and final remarks. Readers will appreciate the fully discussed numerical examples, applications to real cases, review of recent developments and other materials not easily available in the literature, including long proofs. This book bridges mathematical theory with operational needs in a way that no current book does with practical, real-world cases and examples. Academics, researchers, and instructors as well as professionals, practitioners, and consultants will find this a valuable resource for solving network equilibrium problems in transportation systems analysis.
- Covers dynamic aspects of transportation network analysis through application of mathematical models to real cases
- Discusses operational issues of mathematical models for evaluation of traffic and transport demand interventions, giving readers a practical approach to these problems and bridging theoretical and operational aspects together
- Presents recent new developments and the latest research findings since 2019
- Includes numerical examples and applications supported by several figures and tables, allowing the reader to reproduce the presented results
Academics, researchers, and instructors in transportation, urban studies, geography; upper-level undergraduate and graduate students in transportation. Professionals, practitioners, and consultants wishing to review and update their background in Transportation Systems Theory
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Read me first
- Preface
- 1 Purpose of this book
- 2 Contribution of this book
- 3 Scope of this book
- Summary
- References
- Acknowledgements
- Chapter 1 Introduction
- Abstract
- 1.1 Space modelling: Graphs and networks
- 1.2 Time modelling: Dynamic models
- 1.3 Uncertainty modelling: Stochastic models
- 1.4 Founding conceptual equations
- Summary
- Lists
- References
- Chapter 2 Assignment to uncongested networks
- Abstract
- 2.1 Basic notations and definitions
- 2.2 Basic assignment models
- 2.3 Independent route formulations
- 2.4 Multiclass assignment
- 2.5 Arc flow function and arc feasible set
- Summary
- Appendix A. Further examples on hyper-paths
- References
- Chapter 3 Assignment to congested networks: User equilibrium—Fixed-Points
- Abstract
- 3.1 Basic notations and equations
- 3.2 Fixed-point models for equilibrium assignment
- 3.3 Numerical examples of equilibrium assignment
- 3.4 Numerical examples of algorithms convergence
- Summary
- Appendix
- References
- Chapter 4 Assignment to congested networks: Day-to-day dynamics—Deterministic Processes
- Abstract
- 4.1 Basic equations for simple DP models
- 4.2 Simple DP models
- 4.3 Dissipativeness analysis
- 4.4 Fixed-Point state local stability and bifurcation analysis
- 4.5 Numerical examples of deterministic process assignment
- Summary
- References
- Chapter 5 Assignment to congested networks: Day-to-day dynamics—Stochastic Processes
- Abstract
- 5.1 Basic equations for simple SP models
- 5.2 Simple SP models
- 5.3 Numerical examples of stochastic process assignment
- Summary
- References
- Chapter 6 Dynamics in freight transportation: A case study
- Abstract
- 6.1 A dynamic model of modal split
- 6.2 Estimating the model parameters
- 6.3 The time evolution of modal split between road and rail during an innovation process
- 6.4 An application to the evolution of modal split between road and rail through the Swiss Alps
- Summary
- References
- Conclusion
- Research perspectives
- Remarks
- Postface
- A short history of this book
- A final comment
- Index
- No. of pages: 250
- Language: English
- Edition: 1
- Published: November 15, 2023
- Imprint: Elsevier
- Paperback ISBN: 9780443219795
- eBook ISBN: 9780443219788
GE
Giulio E Cantarella
Giulio E. Cantarella is a full professor of Transportation Systems Analysis and Design in the Department of Civil Engineering at the University of Salerno, Italy. His research focus includes traffic analysis and control, travel demand assignment, transportation systems analysis and design, choice modeling, signal setting design, and urban network design. He has authored more than 100 book chapters and journal articles, including Elsevier’s Transportation Research Part B: Methodological and Transport Research Part C: Emerging Technologies, as well as Dynamics and Stochasticity in Transportation Systems (Part I).
Affiliations and expertise
Professor, Transportation Systems Analysis and Design, Department of Civil Engineering, University of Salerno, ItalyCF
Chiara Fiori
Chiara Fiori is Assistant Professor (tenured track) at the Department of Civil Engineering, University of Salerno, Italy, and she is currently a committee member in the postgraduate education commission, Green Metric program commission and university PNRR (National Recovery and Resilience Plan) commission. Her research interests include sustainable mobility; testing, modeling and simulation of electrified vehicles powertrains (for personal, public and freight mobility) and their impact assessment on eco-routing and electric power grid; integration of microscopic traffic flow and energy consumption models, and effects on traffic control systems; and Multi-Vehicle Dynamic Traffic Assignment. She authored several book chapters and journal articles, including in Elsevier’s Transport Research Part D: Transport and Environment, Transport Research Part C: Emerging Technologies, and Transport Research Part A: Policy and Practice.
Affiliations and expertise
Assistant Professor, Department of Civil Engineering, University of Salerno, ItalyLM
Lorenzo Mussone
Lorenzo Mussone is Associate Professor in Transportation Engineering at Politecnico di Milano, Italy. His main research activities concern modelling of vehicular flow and transport systems by means of different techniques: partial derivative equations for controlling vehicular flow; microscopic approach for dynamic analysis/simulation of flow; neural networks for function approximation; and graph theory for network topology analysis. He has participated in EU programmes and projects funded by the Italian National Council of Research and the Ministry of University. He is member of SIDT (the Italian Society of Transportation Scholars) and IATSS (the International Association for Traffic Safety and Science). He participated in many international conferences, published many scientific papers in international journals, and authored several books and book chapters. He is on the referee panel of many transportation journals and on the editorial board of Accident Analysis and Prevention and Transportation Research Interdisciplinary Perspectives journals.
Affiliations and expertise
Associate Professor, Transportation Engineering, Politecnico di Milano, ItalyRead Dynamics and Stochasticity in Transportation Systems Part II on ScienceDirect