The traffic assignment problem : models and methods
著者
書誌事項
The traffic assignment problem : models and methods
（Topics in transportation）
VSP, 1994
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注記
Includes bibliographical references (p. [183]-218) and index
内容説明・目次
内容説明
This work is the result of several years of research into the modelling and efficient solution of problems in transportation planning and related areas. It aims to provide a unified account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas, as well as to show the scope and limitations of present traffic models. The development is described and analyzed by use of the powerful instruments of nonlinear optimization and mathematical programming within the field of operations research. The first part of the book is devoted to mathematical models for the analysis of transportation network equilibria. The second part deals with methods for traffic equilibrium problems. This title should be of interest to researchers in transportation, operations reserch and quantitative economics, who wish to extend their knowledge of equilibrium modelling and analysis, and of the foundations of efficient optimization methods adapted for the solution of large-scale models. This book is also suitable for advanced graduate courses in the aforementioned areas.
目次
- Part 1 Models: urban traffic planning - the transportation planning process, organization and goal definition, base-year inventory, model analysis, travel forecast, network evaluation, discussion
- the basic equilibrium model and extensions - the Wardrop conditions, the mathematical program for user equilibrium, properties of equilibrium solutions, user equilibrium versus system optimum, non-separable costs and multiclass-user transportation networks, related network problems, discussion, some extentions
- general traffic equilibrium models - traffic equilibrium models, properties of equilibrium solutions. Part 2 Methods: algorithms for the basic model and its extensions - the Frank-Wolfe algorithm and its extensions, algorithm concepts, algorithms for the basic model, algorithms for elastic demand problems, algorithms for stochastic assignment models, algorithms for side-constrained assignment models, discussion
- algorithms for general traffic equilibria - algorithm concepts, algorithms for general traffic equilibria, discussion.
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