The Traffic Assignment Problem

The Traffic Assignment Problem PDF Author: Michael Patriksson
Publisher: Courier Dover Publications
ISBN: 0486787907
Category : Mathematics
Languages : en
Pages : 244

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Book Description
"This unique monograph, a classic in its field, provides an account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas. The text further demonstrates the scope and limits of current models. Some familiarity with nonlinear programming theory and techniques is assumed. 1994 edition"--

A User-optimal Route Choice Model with Asymmetric Cost Functions Incorporating Intersection-related Travel Times. Final Report

A User-optimal Route Choice Model with Asymmetric Cost Functions Incorporating Intersection-related Travel Times. Final Report PDF Author: David E. Boyce
Publisher:
ISBN:
Category :
Languages : en
Pages : 156

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Book Description


An User-optimal Route Choice Model with Asymmetric Cost Functions Incorporating Intersection-related Travel Times

An User-optimal Route Choice Model with Asymmetric Cost Functions Incorporating Intersection-related Travel Times PDF Author:
Publisher:
ISBN:
Category : Roads
Languages : en
Pages : 154

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Book Description


Transportation and Network Analysis: Current Trends

Transportation and Network Analysis: Current Trends PDF Author: Michel Gendreau
Publisher: Springer Science & Business Media
ISBN: 9781402004889
Category : Business & Economics
Languages : en
Pages : 272

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Book Description
MICHEL GENDREAU AND PATRICE MARCOTTE As an academic, Michael Florian has always stood at the forefront of transportation research. This is reflected in the miscellaneous contributions that make the chapters of this book, which are related in some way or another to Michael's interests in both the theoretical and practical aspects of his field. These interests span the areas of Traffic Assignment, Network Equilibrium, Shortest Paths, Railroad problems, De mand models, Variational Inequalities, Intelligent Transportation Systems, etc. The contributions are briefly outlined below. BASSANINI, LA BELLA AND NASTASI determine a track pricing policy for railroad companies through the solution of a generalized Nash game. BEN-AKIVA, BIER LAIRE, KOUTSOPOULOS AND MISHALANI discuss simulation-based estimators of the interactions between supply and demand within a real-time transportation system. BOYCE, BALASUBRAMANIAM AND TIAN analyze the impact of marginal cost pricing on urban traffic in the Chicago region. BROTCORNE, DE WOLF, GENDREAU AND LABBE present a discrete model of dynamic traffic assignment where flow departure is endogenous and the First-In-First-Out condition is strictly enforced. CASCETTA AND IMP ROTA give a rigorous treatment of the problem of estimating travel demand from observed data, both in the static and dynamic cases. CRAINIC, DUFOUR, FLo RIAN AND LARIN show how to obtain path information that is consistent with the link information provided by a nonlinear multimodal model. ERLANDER derives the logit model from an efficiency principle rather than from the classical random utility approach.

Flow Control of Congested Networks

Flow Control of Congested Networks PDF Author: Amedeo R. Odoni
Publisher: Springer Science & Business Media
ISBN: 364286726X
Category : Computers
Languages : en
Pages : 363

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Book Description
This volume is a compendium of papers presented during the NATO Workshop which took place in Capri, Italy, October 12-18, 1986 on the general subject of "Flow Control of Congested Networks: The Case of Data Processing and Transportation", and of which we acted as co-chairmen. The focus of the workshop was on flow control methodologies, as applied to preventing or reducing congestion on: (1) data communication networks; (2) urban transportation networks; and (3) air traffic control systems. The goals of the workshop included: review of the state-of-the-art of flow control methodologies, in general, and in each of the three application areas; identification of similarities and differences in the objective functions, modeling approaches and mathematics used in the three areas; examination of opportunities for "technology transfers" and for future interactions among researchers in the three areaso These goals were pursued through individual presentations of papers on current research by workshop participants and, in the cases of the second and third goals, through a number of open-ended discussion and-review sessions which were interspersed throughout the workshop's programmeD The full texts or extended summaries of all but a few of the papers given at the workshop are included in this volume.

Nonlinear Programming and Variational Inequality Problems

Nonlinear Programming and Variational Inequality Problems PDF Author: Michael Patriksson
Publisher: Springer Science & Business Media
ISBN: 9780792354550
Category : Business & Economics
Languages : en
Pages : 360

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Book Description
The framework of algorithms presented in this book is called Cost Approximation. It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the updating of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of the book is to offer this framework as an intuitively appealing tool for describing an algorithm. Another purpose is to provide a convergence analysis of the algorithms in the framework. Audience: The book will be of interest to all researchers in the field (it includes over 800 references) and can also be used for advanced courses in non-linear optimization with the possibility of being oriented either to algorithm theory or to the numerical aspects of large-scale nonlinear optimization.

Finite-Dimensional Variational Inequalities and Complementarity Problems

Finite-Dimensional Variational Inequalities and Complementarity Problems PDF Author: Francisco Facchinei
Publisher: Springer Science & Business Media
ISBN: 0387218157
Category : Business & Economics
Languages : en
Pages : 698

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Book Description
This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models PDF Author: F. Giannessi
Publisher: Springer Science & Business Media
ISBN: 0306480263
Category : Mathematics
Languages : en
Pages : 304

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Book Description
The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Modeling and Optimization of Air Traffic

Modeling and Optimization of Air Traffic PDF Author: Daniel Delahaye
Publisher: John Wiley & Sons
ISBN: 1118743717
Category : Computers
Languages : en
Pages : 191

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Book Description
This book combines the research activities of the authors, both of whom are researchers at Ecole Nationale de l’Aviation Civile (French National School of Civil Aviation), and presents their findings from the last 15 years. Their work uses air transport as its focal point, within the realm of mathematical optimization, looking at real life problems and theoretical models in tandem, and the challenges that accompany studying both approaches. The authors’ research is linked with the attempt to reduce air space congestion in Western Europe, USA and, increasingly, Asia. They do this through studying stochastic optimization (particularly artificial evolution), the sectorization of airspace, route distribution and takeoff slots, and by modeling airspace congestion. Finally, the authors discuss their short, medium and long term research goals. They hope that their work, although related to air transport, will be applied to other fields, such is the transferable nature of mathematical optimization. At the same time, they intend to use other areas of research, such as approximation and statistics to complement their continued inquiry in their own field. Contents 1. Introduction. Part 1. Optimization and Artificial Evolution 2. Optimization: State of the Art. 3. Genetic Algorithms and Improvements. 4. A new concept for Genetic Algorithms based on Order Statistics. Part 2. Applications to Air Traffic Control 5. Air Traffic Control. 6. Contributions to Airspace Sectorization. 7. Contribution to Traffic Assignment. 8. Airspace Congestion Metrics. 9. Conclusion and Future Perspectives. About the Authors Daniel Delahaye works for Ecole Nationale de l’Aviation Civile (French National School of Civil Aviation) in France. Stéphane Puechmorel works for Ecole Nationale de l’Aviation Civile (French National School of Civil Aviation) in France.

Principles of Network Economics

Principles of Network Economics PDF Author: Hagen Bobzin
Publisher: Springer Science & Business Media
ISBN: 354029936X
Category : Business & Economics
Languages : en
Pages : 409

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Book Description
Network problems are manifold and extremely complex. Many problems result from engineering details or mathematical difficulties, others are caused by disregarding economic principles and imperfections of markets. The text provides a fairly integrated approach of transportation related "network problems" and their "solutions" with emphasis on economics or, more precisely, microeconomic theory.