Linear Programs For The User Optimal Dynamic Traffic Assignment Problem

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The Traffic Assignment Problem

Author : Michael Patriksson
Publisher : Courier Dover Publications
ISBN 13 : 0486802272
Total Pages : 244 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Traffic Assignment Problem by : Michael Patriksson

Download or read book The Traffic Assignment Problem written by Michael Patriksson and published by Courier Dover Publications. This book was released on 2015-01-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides both a unified account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas and a survey of the scope and limitations of present traffic models. The development is described and analyzed by the use of the powerful instruments of nonlinear optimization and mathematical programming within the field of operations research. The first part is devoted to mathematical models for the analysis of transportation network equilibria; the second deals with methods for traffic equilibrium problems. This title will interest readers wishing to extend their knowledge of equilibrium modeling and analysis and of the foundations of efficient optimization methods adapted for the solution of large-scale models. In addition to its value to researchers, the treatment is suitable for advanced graduate courses in transportation, operations research, and quantitative economics.

Urban Traffic Networks

Author : Nathan H. Gartner
Publisher : Springer Science & Business Media
ISBN 13 : 3642796419
Total Pages : 376 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Urban Traffic Networks by : Nathan H. Gartner

Download or read book Urban Traffic Networks written by Nathan H. Gartner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of urban traffic in the industrially developed countries have been at the top of the priority list for a long time. While making a critical contribution to the economic well being of those countries, transportation systems in general and highway traffic in particular, also have detrimental effects which are evident in excessive congestion, high rates of accidents and severe pollution problems. Scientists from different disciplines have played an important role in the development and refinement of the tools needed for the planning, analysis, and control of urban traffic networks. In the past several years, there were particularly rapid advances in two areas that affect urban traffic: 1. Modeling of traffic flows in urban networks and the prediction of the resulting equilibrium conditions; 2. Technology for communication with the driver and the ability to guide him, by providing him with useful, relevant and updated information, to his desired destination.

Dynamic Optimization and Differential Games

Author : Terry L. Friesz
Publisher : Springer Science & Business Media
ISBN 13 : 0387727787
Total Pages : 509 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Dynamic Optimization and Differential Games by : Terry L. Friesz

Download or read book Dynamic Optimization and Differential Games written by Terry L. Friesz and published by Springer Science & Business Media. This book was released on 2010-08-20 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to address the increasing number of Operations Research and Management Science problems (that is, applications) that involve the explicit consideration of time and of gaming among multiple agents. It is a book that will be used both as a textbook and as a reference and guide by those whose work involves the theoretical aspects of dynamic optimization and differential games.

Advances in Dynamic Network Modeling in Complex Transportation Systems

Author : Satish V. Ukkusuri
Publisher : Springer Science & Business Media
ISBN 13 : 1461462436
Total Pages : 322 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Dynamic Network Modeling in Complex Transportation Systems by : Satish V. Ukkusuri

Download or read book Advances in Dynamic Network Modeling in Complex Transportation Systems written by Satish V. Ukkusuri and published by Springer Science & Business Media. This book was released on 2013-03-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book focuses on recent developments in Dynamic Network Modeling, including aspects of route guidance and traffic control as they relate to transportation systems and other complex infrastructure networks. Dynamic Network Modeling is generally understood to be the mathematical modeling of time-varying vehicular flows on networks in a fashion that is consistent with established traffic flow theory and travel demand theory. Dynamic Network Modeling as a field has grown over the last thirty years, with contributions from various scholars all over the field. The basic problem which many scholars in this area have focused on is related to the analysis and prediction of traffic flows satisfying notions of equilibrium when flows are changing over time. In addition, recent research has also focused on integrating dynamic equilibrium with traffic control and other mechanism designs such as congestion pricing and network design. Recently, advances in sensor deployment, availability of GPS-enabled vehicular data and social media data have rapidly contributed to better understanding and estimating the traffic network states and have contributed to new research problems which advance previous models in dynamic modeling. A recent National Science Foundation workshop on “Dynamic Route Guidance and Traffic Control” was organized in June 2010 at Rutgers University by Prof. Kaan Ozbay, Prof. Satish Ukkusuri , Prof. Hani Nassif, and Professor Pushkin Kachroo. This workshop brought together experts in this area from universities, industry and federal/state agencies to present recent findings in this area. Various topics were presented at the workshop including dynamic traffic assignment, traffic flow modeling, network control, complex systems, mobile sensor deployment, intelligent traffic systems and data collection issues. This book is motivated by the research presented at this workshop and the discussions that followed.

Dynamic Network User Equilibrium

Author : Terry L. Friesz
Publisher : Springer Nature
ISBN 13 : 303125564X
Total Pages : 401 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Dynamic Network User Equilibrium by : Terry L. Friesz

Download or read book Dynamic Network User Equilibrium written by Terry L. Friesz and published by Springer Nature. This book was released on 2023-08-07 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pareto Optimality, Game Theory and Equilibria

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 0387772472
Total Pages : 872 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Pareto Optimality, Game Theory and Equilibria by : Panos M. Pardalos

Download or read book Pareto Optimality, Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Column Generation

Author : Guy Desaulniers
Publisher : Springer Science & Business Media
ISBN 13 : 0387254862
Total Pages : 369 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Column Generation by : Guy Desaulniers

Download or read book Column Generation written by Guy Desaulniers and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Column Generation is an insightful overview of the state of the art in integer programming column generation and its many applications. The volume begins with "A Primer in Column Generation" which outlines the theory and ideas necessary to solve large-scale practical problems, illustrated with a variety of examples. Other chapters follow this introduction on "Shortest Path Problems with Resource Constraints," "Vehicle Routing Problem with Time Window," "Branch-and-Price Heuristics," "Cutting Stock Problems," each dealing with methodological aspects of the field. Three chapters deal with transportation applications: "Large-scale Models in the Airline Industry," "Robust Inventory Ship Routing by Column Generation," and "Ship Scheduling with Recurring Visits and Visit Separation Requirements." Production is the focus of another three chapters: "Combining Column Generation and Lagrangian Relaxation," "Dantzig-Wolfe Decomposition for Job Shop Scheduling," and "Applying Column Generation to Machine Scheduling." The final chapter by François Vanderbeck, "Implementing Mixed Integer Column Generation," reviews how to set-up the Dantzig-Wolfe reformulation, adapt standard MIP techniques to the column generation context (branching, preprocessing, primal heuristics), and deal with specific column generation issues (initialization, stabilization, column management strategies).

The Study of Dynamic User-equilibrium Traffic Assignment

Author : Xiaojian Nie
Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.:/5 (68 download)

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Book Synopsis The Study of Dynamic User-equilibrium Traffic Assignment by : Xiaojian Nie

Download or read book The Study of Dynamic User-equilibrium Traffic Assignment written by Xiaojian Nie and published by . This book was released on 2003 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Traffic Assignment Problem

Author : Michael Patriksson
Publisher : Courier Dover Publications
ISBN 13 : 0486787907
Total Pages : 244 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis The Traffic Assignment Problem by : Michael Patriksson

Download or read book The Traffic Assignment Problem written by Michael Patriksson and published by Courier Dover Publications. This book was released on 2015-02-18 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Using Dynamic Traffic Assignment in the Development of a Congestion Management System

Author :
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Using Dynamic Traffic Assignment in the Development of a Congestion Management System by :

Download or read book Using Dynamic Traffic Assignment in the Development of a Congestion Management System written by and published by . This book was released on 2002 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Intermodal Surface Transportation Efficiency Act of 1991 (ISTEA) required all states to develop and implement a congestion management system (CMS). ISTEA defines a congestion management system as a process of data collection and analysis. This process includes monitoring existing transportation system performance and evaluating strategies with the potential to reduce traffic congestion and improve mobility. The CMS, once implemented, will serve as a decision-support tool and an integral part of the transportation planning process. However, new analytical tools are needed to model and evaluate the potential benefits of congestion management as part of the CMS program. Under ISTEA, states and other government agencies began to recognize the positive benefits of congestion management in the planning process. As these benefits continue to be realized, a more thorough understanding of congestion and the need for better approaches to mitigate congestion will be achieved.

Transportation and Traffic Theory

Author : A. Ceder
Publisher : Pergamon Press
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transportation and Traffic Theory by : A. Ceder

Download or read book Transportation and Traffic Theory written by A. Ceder and published by Pergamon Press. This book was released on 1999-07-23 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains over 30 papers presented at ISTTT symposia, exploring solutions to the analysis of traffic and transportation problems through use of the models, methods and analyses. Divided into ten sections, this book addresses issues of safety, mobility, efficiency, productivity, planning and the environment.

Sensitivity Analysis for Dynamic User Optimal Problems

Author : Jiangang Lu
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Sensitivity Analysis for Dynamic User Optimal Problems by : Jiangang Lu

Download or read book Sensitivity Analysis for Dynamic User Optimal Problems written by Jiangang Lu and published by . This book was released on 2006 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithmic Game Theory

Author : Marios Mavronicolas
Publisher : Springer Science & Business Media
ISBN 13 : 3642046444
Total Pages : 369 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algorithmic Game Theory by : Marios Mavronicolas

Download or read book Algorithmic Game Theory written by Marios Mavronicolas and published by Springer Science & Business Media. This book was released on 2009-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Second International Sym- sium on Algorithmic Game Theory (SAGT 2009), which was held on October 18–20, 2009, in Paphos, Cyprus. This event followed the ?rst, very successful SAGT symposium, which took place in Paderborn, Germany, last year. The purpose of SAGT is to bring together researchers from computer s- ence, economics and mathematics to present and discuss originalresearchat the intersection of algorithms and game theory. It has been intended to cover all important areas such as solution concepts, game classes,computation of equil- riaandmarketequilibria,algorithmicmechanismdesign, automatedmechanism design,convergenceandlearningingames,complexityclassesingametheory,- gorithmicaspectsof?xed-pointtheorems,mechanisms,incentivesandcoalitions, cost-sharing algorithms, computational problems in economics, ?nance, decision theory and pricing, computational social choice, auction algorithms, price of - archyand its relatives, representationsof games and their complexity, economic aspects of distributed computing and the internet, congestion, routing and n- work design and formation games and game-theoretic approaches to networking problems. Approximately55submissionstoSAGT2009 werereceived.Eachsubmission was reviewed by at least three Program Committee members. The Program Committee decided to accept 29 papers. Out of these, a small number will be invited to a Special Issue of the Theory of Computing Systems journal with selected papers from SAGT 2009. The program of SAGT 2009 featured three invited talks from three outstanding researchers in algorithmic game theory: Elias Koutsoupias, Dov Monderer and Mihalis Yannakakis. We are very grateful toElias,DovandMihalisforjoiningusinPaphosandfortheirexcellentlectures.

Using Dynamic Traffic Assignment in the Development of a Congestion Management System

Author : Aaron Gene Grilliot
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Using Dynamic Traffic Assignment in the Development of a Congestion Management System by : Aaron Gene Grilliot

Download or read book Using Dynamic Traffic Assignment in the Development of a Congestion Management System written by Aaron Gene Grilliot and published by . This book was released on 1998 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Dynamic Transportation Networks

Author : Bin Ran
Publisher : Springer Science & Business Media
ISBN 13 : 3642802303
Total Pages : 365 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Modeling Dynamic Transportation Networks by : Bin Ran

Download or read book Modeling Dynamic Transportation Networks written by Bin Ran and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to summarize our recent progress in dynamic trans portation network modeling. It concentrates on ideal dynamic network models based on actual travel times and their corresponding solution algorithms. In contrast, our first book DynamIc Urban Transportation Network Models - The ory and Implications for Intelligent Vehicle-Hzghway Systems (Springer-Verlag, 1994) focused on instantaneous dynamic network models. Comparing the two books, the major differences can be summarized as follows: 1. This book uses the variational inequality problem as the basic formulation approach and considers the optimal control problem as a subproblem for solution purposes. The former book used optimal control theory as the basic formulation approach, which caused critical problems in some circumstances. 2. This book focuses on ideal dynamic network models based on actual travel times. The former book focused on instantaneous dynamic network models based on currently prevailing travel times. 3. This book formulates a stochastic dynamic route choice model which can utilize any possible route choice distribution function instead of only the logit function. 4. This book reformulates the bilevel problem of combined departure time/ route choice as a one-level variational inequality. 5. Finally, a set of problems is provided for classroom use. In addition, this book offers comprehensive insights into the complexity and challenge of applying these dynamic network models to Intelligent Trans portation Systems (ITS). Nevertheless, the models in this text are not yet fully evaluated and are subject to revision based on future research.

Progress in Intelligent Decision Science

Author : Tofigh Allahviranloo
Publisher : Springer Nature
ISBN 13 : 3030665011
Total Pages : 992 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Progress in Intelligent Decision Science by : Tofigh Allahviranloo

Download or read book Progress in Intelligent Decision Science written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2021-01-29 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the topics of artificial intelligence and deep learning that do have much application in real-life problems. The concept of uncertainty has long been used in applied science, especially decision making and a logical decision must be made in the field of uncertainty or in the real-life environment that is formed and combined with vague concepts and data. The chapters of this book are connected to the new concepts and aspects of decision making with uncertainty. Besides, other chapters are involved with the concept of data mining and decision making under uncertain computations.

Approximate Dynamic Programming

Author : Warren B. Powell
Publisher : John Wiley & Sons
ISBN 13 : 0470182954
Total Pages : 487 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Approximate Dynamic Programming by : Warren B. Powell

Download or read book Approximate Dynamic Programming written by Warren B. Powell and published by John Wiley & Sons. This book was released on 2007-10-05 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and accessible introduction to the real-world applications of approximate dynamic programming With the growing levels of sophistication in modern-day operations, it is vital for practitioners to understand how to approach, model, and solve complex industrial problems. Approximate Dynamic Programming is a result of the author's decades of experience working in large industrial settings to develop practical and high-quality solutions to problems that involve making decisions in the presence of uncertainty. This groundbreaking book uniquely integrates four distinct disciplines—Markov design processes, mathematical programming, simulation, and statistics—to demonstrate how to successfully model and solve a wide range of real-life problems using the techniques of approximate dynamic programming (ADP). The reader is introduced to the three curses of dimensionality that impact complex problems and is also shown how the post-decision state variable allows for the use of classical algorithmic strategies from operations research to treat complex stochastic optimization problems. Designed as an introduction and assuming no prior training in dynamic programming of any form, Approximate Dynamic Programming contains dozens of algorithms that are intended to serve as a starting point in the design of practical solutions for real problems. The book provides detailed coverage of implementation challenges including: modeling complex sequential decision processes under uncertainty, identifying robust policies, designing and estimating value function approximations, choosing effective stepsize rules, and resolving convergence issues. With a focus on modeling and algorithms in conjunction with the language of mainstream operations research, artificial intelligence, and control theory, Approximate Dynamic Programming: Models complex, high-dimensional problems in a natural and practical way, which draws on years of industrial projects Introduces and emphasizes the power of estimating a value function around the post-decision state, allowing solution algorithms to be broken down into three fundamental steps: classical simulation, classical optimization, and classical statistics Presents a thorough discussion of recursive estimation, including fundamental theory and a number of issues that arise in the development of practical algorithms Offers a variety of methods for approximating dynamic programs that have appeared in previous literature, but that have never been presented in the coherent format of a book Motivated by examples from modern-day operations research, Approximate Dynamic Programming is an accessible introduction to dynamic modeling and is also a valuable guide for the development of high-quality solutions to problems that exist in operations research and engineering. The clear and precise presentation of the material makes this an appropriate text for advanced undergraduate and beginning graduate courses, while also serving as a reference for researchers and practitioners. A companion Web site is available for readers, which includes additional exercises, solutions to exercises, and data sets to reinforce the book's main concepts.