Cover Image

Dynamics and stochasticity in transportation systems. Part II, Equations and examples.

Dynamics 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.

Bibliographic Details
Main Author: CANTARELLA, GIULIO E.
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: [S.l.] : Elsevier, 2024.
Subjects:
Transportation > Mathematical models.
Stochastic analysis.
Dynamics.
Transport > Modèles mathématiques.
Analyse stochastique.
Dynamique.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Intro
  • Dynamics and Stochasticity in Transportation Systems Part II: Equations and Examples
  • Copyright
  • Dedication
  • Contents
  • Read me first
  • Preface
  • 1. Purpose of this book
  • 2. Contribution of this book
  • 2.1. Traffic analysis
  • 2.2. Transportation systems analysis
  • Travel demand analysis
  • Transportation supply analysis
  • Assignment
  • 2.3. Traffic control
  • 2.4. Transportation systems control and design
  • 3. Scope of this book
  • Summary
  • Major findings
  • Further reading
  • References
  • Acknowledgements
  • Chapter 1: Introduction
  • 1.1. Space modelling: Graphs and networks
  • 1.1.1. Basic elements of graph and network theory
  • 1.1.2. Graphs and networks in transportation system analysis
  • 1.2. Time modelling: Dynamic models
  • 1.3. Uncertainty modelling: Stochastic models
  • 1.4. Founding conceptual equations
  • Summary
  • Major findings
  • Further readings
  • Lists
  • References
  • Chapter 2: Assignment to uncongested networks
  • 2.1. Basic notations and definitions
  • 2.2. Basic assignment models
  • 2.2.1. Supply model
  • 2.2.2. Demand model
  • 2.2.3. Parking choice behaviour
  • 2.3. Independent route formulations
  • 2.4. Multiclass assignment
  • 2.5. Arc flow function and arc feasible set
  • Summary
  • Major findings
  • Further readings
  • Remarks
  • Appendix A. Further examples on hyper-paths
  • References
  • Chapter 3: Assignment to congested networks: User equilibrium-Fixed-Points
  • 3.1. Basic notations and equations
  • Definitions about the structure of the arc cost function
  • 3.2. Fixed-point models for equilibrium assignment
  • 3.2.1. Two-equation assignment models
  • 3.2.2. One-equation assignment models
  • 3.2.3. Existence and basic uniqueness analysis
  • Existence conditions
  • Uniqueness conditions
  • 3.2.4. Solution algorithms and convergence analysis.
  • 6.4. An application to the evolution of modal split between road and rail through the Swiss Alps
  • Summary
  • Major findings
  • Further readings
  • Remarks
  • References
  • Conclusion
  • Research perspectives
  • Remarks
  • Postface
  • A short history of this book
  • A final comment
  • Index.