Dynamic Network User Equilibrium

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Éditeur :

Springer


Paru le : 2023-08-07

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Description

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.

Pages
391 pages
Collection
n.c
Parution
2023-08-07
Marque
Springer
EAN papier
9783031255625
EAN PDF
9783031255649

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
10107 Ko
Prix
128,17 €
EAN EPUB
9783031255649

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
27238 Ko
Prix
128,17 €

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