Optimization models and methods for equilibrium traffic assignment
This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffi…
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- Full title :Optimization models and methods for equilibrium traffic assignment / Alexander Krylatov, Victor Zakharov, Tero Tuovinen.
Summary
This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory. This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development.
Read More ↓Edition Statements
- Publication Date:©2020
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:©2020
The Physical Object
- Description:1 online resource : : illustrations (some color)
Edition Identifiers
- ISBN:9783030341022, 303034102X
- DOI:10.1007/978-3-030-34102-2
- oclc:on1131718832
- LC Classification:HE336.T68
- Dewey Decimal:388.3/14
Table of Contents
Intro; Preface; Contents; Part I Traffic Flow Issues; 1 Introduction; 1.1 Brief Traffic Theory Background; 1.2 Current Remarkable Research Issues; 1.3 Promising Relevant Expansion; References; Part II Optimization Traffic Assignment Models; 2 Principles of Wardrop for Traffic Assignment in a Road Network; 2.1 User Equilibrium and System Optimum of Wardrop in a Road Network; 2.2 Dual Traffic Assignment Problem in a Large Scale Road Network; 2.3 Route-Flow Traffic Assignment as a Fixed Point Problem; 2.4 Link-Flow Traffic Assignment as a Fixed Point Problem; References
3 Nash Equilibrium in a Road Network with Many Groups of Users3.1 Competitive Traffic Assignment in Case of Many Users' Groups; 3.2 The Relationships of Wardrop's Principles and Nash Equilibrium in Case of Many Users' Groups; 3.3 Nash Equilibrium in Noncooperative Game of Users' Groups on Routes of a Road Network; 3.4 Behavioral Model of Competitive Traffic Assignment on a Road Network; References; Part III Optimization Traffic Assignment Methods; 4 Methods for Traffic Flow Assignment in Road Networks; 4.1 Gradient Descent for User-Equilibrium Search in Road Networks
4.2 Projection Approach for Route-Flow Traffic As…
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Optimization models and methods for equilibrium traffic assignment
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