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2018 | OriginalPaper | Chapter

4. Modeling and Problem Formulation

Authors : Pushkin Kachroo, Kaan M. A. Özbay

Published in: Feedback Control Theory for Dynamic Traffic Assignment

Publisher: Springer International Publishing

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Abstract

This chapter provides the system dynamics model for control design in continuous and discrete time and space variables for traffic flow and also develops the basic framework for the control design. The problem is formulated as a feedback control design for the traffic as a distributed parameter system, i.e., in terms of Partial Differential Equations (PDE). DTR formulation for two alternate routes and then generalized for n routes is developed. Space discretization of the model results in Ordinary Differential Equation (ODE) representation, and its further time discretization produces difference equations. System dynamic equations for sample problems are developed, and a simple control law is also shown with computer simulation results.

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previous chapter Traffic Flow Theory
next chapter Dynamic Routing Problem in Distributed Parameter Setting
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Metadata
Title
Modeling and Problem Formulation
Authors
Pushkin Kachroo
Kaan M. A. Özbay
Copyright Year
2018
Book
Feedback Control Theory for Dynamic Traffic Assignment

Print ISBN: 978-3-319-69229-6

Electronic ISBN: 978-3-319-69231-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-69231-9_4