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Dynamic network user equilibrium

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamic network user equilibriumby Terry L. Friesz, Ke Han.
Author:	Friesz, Terry L.
other author:	Han, Ke.
Published:	Cham :Springer International Publishing :2022.
Description:	xii, 391 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Traffic assignmentMathematical models.
Online resource:	https://doi.org/10.1007/978-3-031-25564-9
ISBN:	9783031255649$q(electronic bk.)

Dynamic network user equilibrium
Friesz, Terry L.

Dynamic network user equilibrium[electronic resource] /by Terry L. Friesz, Ke Han. - Cham :Springer International Publishing :2022. - xii, 391 p. :ill., digital ;24 cm. - Complex networks and dynamic systems,v. 52195-7258 ;. - Complex networks and dynamic systems ;v.3..

Introduction -- Mathematical Preliminaries -- The Variational Inequality Formulation of Dynamic User Equilibria -- The Differential Variational Inequality Formulation of Dynamic User Equilibria -- Existence of Dynamic User Equilibria -- Algorithms for Computing Dynamic User Equilibria -- Dynamic Network Loading: Non-Physical Queue Models -- Dynamic Network Loading: Physical Queue Models -- Numerical Results.

This book presents advanced research in a relatively new field of scholarly inquiry that is usually referred to as dynamic network user equilibrium, now almost universally abbreviated as DUE. It provides the first synthesis of results obtained over the last decade from applying the differential variational inequality (DVI) formalism to study the DUE problem. In particular, it explores the intimately related problem of dynamic network loading, which determines the arc flows and effective travel delays (or generalized travel costs) arising from the expression of departure rates at the origins of commuter trips between the workplace and home. In particular, the authors show that dynamic network loading with spillback of queues into upstream arcs may be formulated as a differential algebraic equation system. They demonstrate how the dynamic network loading problem and the dynamic traffic user equilibrium problem may be solved simultaneously rather than sequentially, as well as how the first-in-first-out queue discipline may be maintained for each when Lighthill-Whitham-Richardson traffic flow theory is used. A number of recent and new extensions of the DVI-based theory of DUE and corresponding examples are presented and discussed. Relevant mathematical background material is provided to make the book as accessible as possible.

ISBN: 9783031255649$q(electronic bk.)

Standard No.: 10.1007/978-3-031-25564-9doiSubjects--Topical Terms:

861698
Traffic assignment
--Mathematical models.

LC Class. No.: HE336.T68

Dewey Class. No.: 388.31

Dynamic network user equilibrium
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245 1 0 $a Dynamic network user equilibrium $h [electronic resource] / $c by Terry L. Friesz, Ke Han.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xii, 391 p. : $b ill., digital ; $c 24 cm.
490 1 $a Complex networks and dynamic systems, $x 2195-7258 ; $v v. 5
505 0 $a Introduction -- Mathematical Preliminaries -- The Variational Inequality Formulation of Dynamic User Equilibria -- The Differential Variational Inequality Formulation of Dynamic User Equilibria -- Existence of Dynamic User Equilibria -- Algorithms for Computing Dynamic User Equilibria -- Dynamic Network Loading: Non-Physical Queue Models -- Dynamic Network Loading: Physical Queue Models -- Numerical Results.
520 $a This book presents advanced research in a relatively new field of scholarly inquiry that is usually referred to as dynamic network user equilibrium, now almost universally abbreviated as DUE. It provides the first synthesis of results obtained over the last decade from applying the differential variational inequality (DVI) formalism to study the DUE problem. In particular, it explores the intimately related problem of dynamic network loading, which determines the arc flows and effective travel delays (or generalized travel costs) arising from the expression of departure rates at the origins of commuter trips between the workplace and home. In particular, the authors show that dynamic network loading with spillback of queues into upstream arcs may be formulated as a differential algebraic equation system. They demonstrate how the dynamic network loading problem and the dynamic traffic user equilibrium problem may be solved simultaneously rather than sequentially, as well as how the first-in-first-out queue discipline may be maintained for each when Lighthill-Whitham-Richardson traffic flow theory is used. A number of recent and new extensions of the DVI-based theory of DUE and corresponding examples are presented and discussed. Relevant mathematical background material is provided to make the book as accessible as possible.
650 0 $a Traffic assignment $x Mathematical models. $3 861698
650 0 $a Traffic flow $x Mathematical models. $3 229305
650 0 $a Traffic estimation $x Mathematical models. $3 695429
650 1 4 $a Regional and Spatial Economics. $3 913166
650 2 4 $a Operations Research and Decision Theory. $3 914898
650 2 4 $a Transportation Technology and Traffic Engineering. $3 724870
700 1 $a Han, Ke. $3 955149
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