Dynamics and Stochasticity in Transportation Systems: Tools for Transportation Network Modelling 1st edition by Giulio E Cantarella, David Watling, Stefano de Luca, Roberta Di Pace – Ebook PDF Instant Download/DeliveryISBN: 0128143541, 9780128143544
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Product details:
ISBN-10 : 0128143541
ISBN-13 : 9780128143544
Author: Giulio E Cantarella, David Watling, Stefano de Luca, Roberta Di Pace
Dynamics and Stochasticity in Transportation Systems: Solutions for Transportation Network Modeling breaks new ground on the topics, providing consistent and comprehensive coverage of steady state equilibrium and dynamic assignment within a common strategy. The book details the most recent advances in network assignment, including day-to-day and within-day dynamics, providing a solid foundation to help transportation planners solve transient overload and other problems. Users will find a book that fills the gap in knowledge with its description on how to use and employ the latest dynamic network models for evaluation of traffic and transport demand interventions.
Dynamics and Stochasticity in Transportation Systems: Tools for Transportation Network Modelling 1st Table of contents:
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
1.5 Summary
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 Multi class assignment
2.5 Arc flow function and arc feasible set
2.6 Summary
Chapter 3: Assignment to congested networks: User equilibrium—Fixed points
Abstract
3.1 Basic equations
3.2 Fixed-point models for equilibrium assignment
3.3 Advanced uniqueness and convergence analysis
3.4 Summary
Appendix: Proofs of convergence conditions for MSA-based fixed-point algorithms
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 Basic equations for general models
4.6 General DP models
4.7 Summary
Appendix A: Dissipativeness of DP-MA/ES (adapted from Cantarella and Watling, 2016)
Appendix B: Local stability conditions for of DP-ES/ES
Appendix C: DP with today states depending on itself (adapted from Cantarella and Watling, 2016)
Chapter 5: Assignment to congested networks: Day-to-day dynamics—Stochastic processes
Abstract
5.1 Basic equations for SP models
5.2 General SP models
5.3 Summary
Chapter 6: Assignment to transportation networks: Within-day dynamics
Abstract
6.1 Basic equations
6.2 Assignment
6.3 Summary
Chapter 7: Conclusion
Abstract
7.1 Research perspectives
7.2 Remarks
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Dynamics,Stochasticity,Transportation Systems,Tools,Transportation,Network Modelling,Giulio E Cantarella,David Watling,Stefano de Luca,Roberta Di Pace