Dynamics and Stochasticity in Transportation Systems Part II : Equations and Examples / Giulio E Cantarella, Chiara Fiori, and Lorenzo Mussone.

Format:

Book

Author/Creator:

E Cantarella, Giulio, author.

Fiori, Chiara, author.

Mussone, Lorenzo, author.

Language:

English

Subjects (All):

Transportation--Mathematical models.

Transportation.

Stochastic analysis.

Physical Description:

1 online resource (212 pages)

Edition:

First edition.

Place of Publication:

Cambridge, MA : Elsevier, [2024]

Summary:

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.

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

Further readings

Lists

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

Remarks

Appendix A. Further examples on hyper-paths

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.

3.3. Numerical examples of equilibrium assignment

3.4. Numerical examples of algorithms convergence

Appendix

Chapter 4: Assignment to congested networks: Day-to-day dynamics-Deterministic Processes

4.1. Basic equations for simple DP models

4.1.1. Supply models for simple DP models

4.1.2. Demand models for simple DP models

4.1.3. Arc flow updating function

4.2. Simple DP models

4.2.1. Two equation assignment models

4.2.2. Fixed Point states

4.2.3. Solution issues and convergence analysis

4.3. Dissipativeness analysis

4.3.1. Dissipativeness of DP-ES/ES

4.3.2. Dissipativeness of DP-MA/ES

4.4. Fixed-Point state local stability and bifurcation analysis

4.4.1. Stability conditions for a real eigenvalue ω

4.4.2. Stability conditions and bifurcations for a complex eigenvalue ω

4.5. Numerical examples of deterministic process assignment

Chapter 5: Assignment to congested networks: Day-to-day dynamics-Stochastic Processes

5.1. Basic equations for simple SP models

5.1.1. Supply models for simple SP models

5.1.2. Demand models for SP models

5.1.3. Arc flow updating function

5.2. Simple SP models

5.2.1. Two equation assignment models

5.2.2. Ergodic sets of stochastic processes

5.2.3. Convergent stochastic processes

5.2.4. Solution issues

5.3. Numerical examples of stochastic process assignment

Chapter 6: Dynamics in freight transportation: A case study

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

Conclusion

Research perspectives

Postface

A short history of this book

A final comment

Index.

Notes:

Includes bibliographical references and index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: E Cantarella, Giulio Dynamics and Stochasticity in Transportation Systems Part II

ISBN:

0-443-21978-8

OCLC:

1417194436