Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods

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Title

Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods

Subject

Operational research

Description

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks.

Creator

Bayen, Alexandre
Delle Monache, Maria Laura
Garavello, Mauro
Goatin, Paola
Piccoli, Benedetto

Source

https://library.oapen.org/handle/20.500.12657/54425

Publisher

Publisher: Springer Nature
Publisher website: https://www.springernature.com/gp/products/books

Date

2022

Contributor

Tatik

Rights

http://creativecommons.org/licenses/by/4.0/

Format

PDF

Language

English

Type

Textbooks

Identifier

DOI: 10.1007/978-3-030-93015-8
ISBN: 9783030930158, 9783030930158

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