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Titlebook: Dynamic Network User Equilibrium; Terry L. Friesz,Ke Han Book 2022 Springer Nature Switzerland AG 2022 DUE.Differential Variational Inequa

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书目名称Dynamic Network User Equilibrium
编辑Terry L. Friesz,Ke Han
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概述Presents Dynamic User Equilibrium (DUE) problems and their use in transportation modeling.Contains the first synthesis of results obtained over the last decade.Provides all relevant mathematical backg
丛书名称Complex Networks and Dynamic Systems
图书封面Titlebook: Dynamic Network User Equilibrium;  Terry L. Friesz,Ke Han Book 2022 Springer Nature Switzerland AG 2022 DUE.Differential Variational Inequa
描述.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 cor
出版日期Book 2022
关键词DUE; Differential Variational Inequality; Dynamic Network Modeling; Dynamic Traffic Assignment; Dynamic
版次1
doihttps://doi.org/10.1007/978-3-031-25564-9
isbn_ebook978-3-031-25564-9Series ISSN 2195-724X Series E-ISSN 2195-7258
issn_series 2195-724X
copyrightSpringer Nature Switzerland AG 2022
The information of publication is updating

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Dynamic Network User Equilibrium978-3-031-25564-9Series ISSN 2195-724X Series E-ISSN 2195-7258
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M,s. This chapter aims to provide a quick overview of knowledge essential to the formulation, analysis, and computation of DUE models. These subjects include functional analysis, the calculus of variations, optimal control theory, mathematical programming, scalar conservation laws, and variational the
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https://doi.org/10.1007/978-3-031-25564-9DUE; Differential Variational Inequality; Dynamic Network Modeling; Dynamic Traffic Assignment; Dynamic
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