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System Optimal Dynamic Traffic Assignment
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Book Synopsis System optimal dynamic traffic assignment in congested networks with advanced information systems by : Srinivas Peeta
Download or read book System optimal dynamic traffic assignment in congested networks with advanced information systems written by Srinivas Peeta and published by . This book was released on 1994 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis System Optimal Dynamic Traffic Assignment by : Wei Shen
Download or read book System Optimal Dynamic Traffic Assignment written by Wei Shen and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The system optimal dynamic traffic assignment (SO-DTA) problem determines the time-dependent traffic flow pattern that minimizes the total system cost in a road network. This problem is of great importance for benchmarking and designing diverse congestion alleviation strategies. Despite its great importance, SO-DTA for large-scale general networks remains one of the most challenging problems in transportation research. Solutions with conventional optimization methods are often problematic, due to the high dimensionality and non-convexity of the formulations. This dissertation focuses on the SO-DTA problem with a single destination (S-SO-DTA), which is the building block for solving the general SO-DTA problem. Using a graph-theoretic approach, we reveal the intrinsic connection between the S-SO-DTA problem and the minimum cost flow (MCF) problem in graph theory. It is demonstrated that non-convexity and high-dimensionality, the two major obstacles for solving the S-SO-DTA problem, can be decoupled and tackled separately by relaxation and transformation techniques. The entire decoupling process uncovers a series of interesting and insightful properties, which give birth to a two-stage innovative solution procedure for the S-SO-DTA problem. The first stage solves a special minimum cost flow problem by an augmented network simplex method, while the second stage transforms an optimal traffic flow pattern of the minimum cost flow problem to an optimal traffic flow pattern of the S-SO-DTA problem by applying a pseudo dynamic network loading procedure. By exploiting specialties of network structure, this two-stage procedure is capable of efficiently obtaining global optimal solutions for large-scale S-SO-DTA problems. An extended version of the S-SO-DTA problem, the S-SO-DTA problem with departure time choice, is also discussed. It is shown that most of the graph-theoretic properties as well as the solution procedure can be easily extended with minor modifications. Finally, this thesis work also investigates the potential applications of the S-SO-DTA results in a variety of operational contexts, including emergency evacuation, access control in monocentric networks, and dynamic congestion pricing. Guidelines for designing efficient dynamic traffic management measures are provided.
Book Synopsis Optimal Dynamic Traffic Assignment Using a State Space Model by : R. L. Smith
Download or read book Optimal Dynamic Traffic Assignment Using a State Space Model written by R. L. Smith and published by . This book was released on 1992 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Feedback Control Theory for Dynamic Traffic Assignment by : Pushkin Kachroo
Download or read book Feedback Control Theory for Dynamic Traffic Assignment written by Pushkin Kachroo and published by Springer. This book was released on 2018-05-16 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a methodology for designing feedback control laws for dynamic traffic assignment (DTA) exploiting the introduction of new sensing and information-dissemination technologies to facilitate the introduction of real-time traffic management in intelligent transportation systems. Three methods of modeling the traffic system are discussed: partial differential equations representing a distributed-parameter setting; continuous-time ordinary differential equations (ODEs) representing a continuous-time lumped-parameter setting; and discreet-time ODEs representing a discrete-time lumped-parameter setting. Feedback control formulations for reaching road-user-equilibrium are presented for each setting and advantages and disadvantage of using each are addressed. The closed-loop methods described are proposed expressly to avoid the counter-productive shifting of bottlenecks from one route to another because of driver over-reaction to routing information. The second edition of Feedback Control Theory for Dynamic Traffic Assignment has been thoroughly updated with completely new chapters: a review of the DTA problem and emphasizing real-time-feedback-based problems; an up-to-date presentation of pertinent traffic-flow theory; and a treatment of the mathematical solution to the traffic dynamics. Techinques accounting for the importance of entropy are further new inclusions at various points in the text. Researchers working in traffic control will find the theoretical material presented a sound basis for further research; the continual reference to applications will help professionals working in highway administration and engineering with the increasingly important task of maintaining and smoothing traffic flow; the extensive use of end-of-chapter exercises will help the graduate student and those new to the field to extend their knowledge.
Book Synopsis Linear Programming System Optimal Dynamic Traffic Assignment Evacuation Modeling and Network Transformation Using Cell Transmission Model by : Bikash Gautam
Download or read book Linear Programming System Optimal Dynamic Traffic Assignment Evacuation Modeling and Network Transformation Using Cell Transmission Model written by Bikash Gautam and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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.
Book Synopsis A Combinatorial Approach for Multiple-destination User Optimal Dynamic Traffic Assignment by : Hina Golani
Download or read book A Combinatorial Approach for Multiple-destination User Optimal Dynamic Traffic Assignment written by Hina Golani and published by . This book was released on 2003 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Programs for the User Optimal Dynamic Traffic Assignment Problem by : Satish V. S. K. Ukkusuri
Download or read book Linear Programs for the User Optimal Dynamic Traffic Assignment Problem written by Satish V. S. K. Ukkusuri and published by . This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simulation Approaches in Transportation Analysis by : Ryuichi Kitamura
Download or read book Simulation Approaches in Transportation Analysis written by Ryuichi Kitamura and published by Springer Science & Business Media. This book was released on 2006-03-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation Approaches in Transportation Analysis: Recent Advances and Challenges presents the latest developments in transport simulation, including dynamic network simulation and micro-simulation of people’s movement in an urban area. It offers a collection of the major simulation models that are now in use throughout the world; it illustrates each model in detail, examines potential problems, and points to directions for future development. The reader will be able to understand the functioning, applicability, and usefulness of advanced transport simulation models. The material in this book will be of wide use to graduate students and practitioners as well as researchers in the transportation engineering and planning fields.
Book Synopsis Efficient Algorithms for the Cell Based Single Destination System Optimal Dynamic Traffic Assignment Problem by :
Download or read book Efficient Algorithms for the Cell Based Single Destination System Optimal Dynamic Traffic Assignment Problem written by and published by . This book was released on 2009 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cell transmission model (CTM) based single destination system optimal dynamic traffic assignment (SD-SO-DTA) model has wide applications. Although formulated as a linear programming (LP) model, embedded multi-period cell network representation yields an extremely large model for real-size networks. As a result, most of these models are not solvable using existent LP solvers. Solutions using LP techniques also involve holding vehicles, violating CTM flow dynamics. This doctoral research is aimed at developing innovative algorithms that overcome both computational efficiency and solution realism. We first prove that SD-SO-DTA is equivalent to the earliest arrival flow (EAF), and then develop efficient algorithms to solve EAF. Two variants of the algorithm are developed. For the case of time-varying parameters, we develop a network flow algorithm on a time-expanded network. The main challenge in this approach is to address the issue of having backward wave speed lower than forward wave speed. This situation leads to non-typical constraints involving coefficients with value of less than 1. Additionally, the proposed approach solves for optimal flows that exhibit non-vehicle-holding properties, which is a major breakthrough compared to all existing solution techniques for SD-SO-DTA. For the case of time-invariant network parameters, we reduce the SD-SO-DTA to a standard EAF problem on a dynamic network, which is constructed on the original roadway network without dividing it into cells. We prove that the EAF under a free flow condition is one of the optimal solutions, if cell properties follow a trapezoidal/triangular fundamental diagram. We use chain flows obtained on a static network to induce dynamic flows, an approach applicable to large-scale networks. Another contribution of this research is to provide a simple and practical algorithm solving the EAF with multiple sources. Most existing studies contain submodular function optimization as subroutines, and thus are not practical for real-life implementation. In this regard, we develop a practical and operational algorithm that avoids submodular function optimization. The main body of the given method is comprised of.
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.
Book Synopsis The Multi-Agent Transport Simulation MATSim by : Andreas Horni
Download or read book The Multi-Agent Transport Simulation MATSim written by Andreas Horni and published by Ubiquity Press. This book was released on 2016-08-10 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MATSim (Multi-Agent Transport Simulation) software project was started around 2006 with the goal of generating traffic and congestion patterns by following individual synthetic travelers through their daily or weekly activity programme. It has since then evolved from a collection of stand-alone C++ programs to an integrated Java-based framework which is publicly hosted, open-source available, automatically regression tested. It is currently used by about 40 groups throughout the world. This book takes stock of the current status. The first part of the book gives an introduction to the most important concepts, with the intention of enabling a potential user to set up and run basic simulations. The second part of the book describes how the basic functionality can be extended, for example by adding schedule-based public transit, electric or autonomous cars, paratransit, or within-day replanning. For each extension, the text provides pointers to the additional documentation and to the code base. It is also discussed how people with appropriate Java programming skills can write their own extensions, and plug them into the MATSim core. The project has started from the basic idea that traffic is a consequence of human behavior, and thus humans and their behavior should be the starting point of all modelling, and with the intuition that when simulations with 100 million particles are possible in computational physics, then behavior-oriented simulations with 10 million travelers should be possible in travel behavior research. The initial implementations thus combined concepts from computational physics and complex adaptive systems with concepts from travel behavior research. The third part of the book looks at theoretical concepts that are able to describe important aspects of the simulation system; for example, under certain conditions the code becomes a Monte Carlo engine sampling from a discrete choice model. Another important aspect is the interpretation of the MATSim score as utility in the microeconomic sense, opening up a connection to benefit cost analysis. Finally, the book collects use cases as they have been undertaken with MATSim. All current users of MATSim were invited to submit their work, and many followed with sometimes crisp and short and sometimes longer contributions, always with pointers to additional references. We hope that the book will become an invitation to explore, to build and to extend agent-based modeling of travel behavior from the stable and well tested core of MATSim documented here.
Book Synopsis Analytical Dynamic Traffic Assignment Approsches for Modelling Integrated Real-time Traffic Control Systems by : Seong-Il Shin
Download or read book Analytical Dynamic Traffic Assignment Approsches for Modelling Integrated Real-time Traffic Control Systems written by Seong-Il Shin and published by . This book was released on 2001 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Integrated Dynamic Traffic Assignment and Signal Control for Evacuation of Large Traffic Networks with Varying Threat Levels by : Neema Nassir
Download or read book Optimal Integrated Dynamic Traffic Assignment and Signal Control for Evacuation of Large Traffic Networks with Varying Threat Levels written by Neema Nassir and published by . This book was released on 2013 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research contributes to the state of the art and state of the practice in solving a very important and computationally challenging problem in the areas of urban transportation systems, operations research, disaster management, and public policy. Being a very active topic of research during the past few decades, the problem of developing an efficient and practical strategy for evacuation of real-sized urban traffic networks in case of disasters from different causes, quickly enough to be employed in immediate disaster management scenarios, has been identified as one of the most challenging and yet vital problems by many researchers. More specifically, this research develops fast methods to find the optimal integrated strategy for traffic routing and traffic signal control to evacuate real-sized urban networks in the most efficient manner. In this research a solution framework is proposed, developed and tested which is capable of solving these problems in very short computational time. An efficient relaxation-based decomposition method is proposed, implemented for two evacuation integrated routing and signal control model formulations, proven to be optimal for both formulations, and verified to reduce the computational complexity of the optimal integrated routing and signal control problem. The efficiency of the proposed decomposition method is gained by reducing the integrated optimal routing and signal control problem into a relaxed optimal routing problem. This has been achieved through an insight into intersection flows in the optimal routing solution: in at least one of the optimal solutions of the routing problem, each street during each time interval only carries vehicles in at most one direction. This property, being essential to the proposed decomposition method, is called "unidirectionality" in this dissertation. The conditions under which this property exists in the optimal evacuation routing solution are identified, and the existence of unidirectionality is proven for: (1) the common Single-Destination System-Optimal Dynamic Traffic Assignment (SD-SODTA) problem, with the objective to minimize the total time spent in the threat area; and, (2) for the single-destination evacuation problem with varying threat levels, with traffic models that have no spatial queue propagation. The proposed decomposition method has been implemented in compliance with two widely-accepted traffic flow models, the Cell Transmission Model (CTM) and the Point Queue (PQ) model. In each case, the decomposition method finds the optimal solution for the integrated routing and signal control problem. Both traffic models have been coded and applied to a realistic real-size evacuation scenario with promising results. One important feature that is explored is the incorporation of evacuation safety aspects in the optimization model. An index of the threat level is associated with each link that reflects the adverse effects of traveling in a given threat zone on the safety and health of evacuees during the process of evacuation. The optimization problem is then formulated to minimize the total exposure of evacuees to the threat. A hypothetical large-scale chlorine gas spill in a high populated urban area (downtown Tucson, Arizona) has been modeled for testing the evacuation models where the network has varying threat levels. In addition to the proposed decomposition method, an efficient network-flow solution algorithm is also proposed to find the optimal routing of traffic in networks with several threat zones, where the threat levels may be non-uniform across different zones. The proposed method can be categorized in the class of "negative cycle canceling" algorithms for solving minimum cost flow problems. The unique feature in the proposed algorithm is introducing a multi-source shortest path calculation which enables the efficient detection and cancellation of negative cycles. The proposed method is proven to find the optimal solution, and it is also applied to and verified for a mid-size test network scenario.
