Mass Transportation Problems
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| Author | : Svetlozar T. Rachev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 533 |
| Release | : 2006-05-17 |
| Genre | : Mathematics |
| ISBN | : 0387227555 |
The first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory with emphasis on the Monge-Kantorovich mass transportation and the Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety of different approaches towards solving these problems and exploit the rich interrelations to several mathematical sciences - from functional analysis to probability theory and mathematical economics. The second volume is devoted to applications of the above problems to topics in applied probability, theory of moments and distributions with given marginals, queuing theory, risk theory of probability metrics and its applications to various fields, among them general limit theorems for Gaussian and non-Gaussian limiting laws, stochastic differential equations and algorithms, and rounding problems. Useful to graduates and researchers in theoretical and applied probability, operations research, computer science, and mathematical economics, the prerequisites for this book are graduate level probability theory and real and functional analysis.
| Author | : Svetlozar T. Rachev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 450 |
| Release | : 2006-05-09 |
| Genre | : Mathematics |
| ISBN | : 0387227563 |
The first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory with emphasis on the Monge-Kantorovich mass transportation and the Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety of different approaches towards solving these problems and exploit the rich interrelations to several mathematical sciences - from functional analysis to probability theory and mathematical economics. The second volume is devoted to applications of the above problems to topics in applied probability, theory of moments and distributions with given marginals, queuing theory, risk theory of probability metrics and its applications to various fields, among them general limit theorems for Gaussian and non-Gaussian limiting laws, stochastic differential equations and algorithms, and rounding problems. Useful to graduates and researchers in theoretical and applied probability, operations research, computer science, and mathematical economics, the prerequisites for this book are graduate level probability theory and real and functional analysis.
| Author | : William R. Black |
| Publisher | : Guilford Press |
| Total Pages | : 321 |
| Release | : 2010-01-04 |
| Genre | : Social Science |
| ISBN | : 1606239058 |
During the last two decades, sustainability has become the dominant concern of transportation planners and policymakers. This timely text provides a framework for developing systems that move people and products efficiently while minimizing damage to the local and global environment. The book offers a uniquely comprehensive perspective on the problems surrounding current transportation systems: climate change, urban air pollution, diminishing petroleum reserves, safety issues, and congestion. It explores the full range of possible solutions, including applications of pricing, planning, policy, education, and technology. Numerous figures, tables, and examples are featured, with a primary focus on North America.
| Author | : Cédric Villani |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 370 |
| Release | : 2021-08-25 |
| Genre | : Education |
| ISBN | : 1470467267 |
This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.
| Author | : Yinhai Wang |
| Publisher | : Elsevier |
| Total Pages | : 0 |
| Release | : 2018-12-05 |
| Genre | : Transportation |
| ISBN | : 9780128170267 |
Data-Driven Solutions to Transportation Problems explores the fundamental principle of analyzing different types of transportation-related data using methodologies such as the data fusion model, the big data mining approach, computer vision-enabled traffic sensing data analysis, and machine learning. The book examines the state-of-the-art in data-enabled methodologies, technologies and applications in transportation. Readers will learn how to solve problems relating to energy efficiency under connected vehicle environments, urban travel behavior, trajectory data-based travel pattern identification, public transportation analysis, traffic signal control efficiency, optimizing traffic networks network, and much more.
| Author | : J. Allen Whitt |
| Publisher | : Princeton University Press |
| Total Pages | : 246 |
| Release | : 2014-07-14 |
| Genre | : Transportation |
| ISBN | : 1400857457 |
In an unusually systematic approach to the study of urban politics, this study compares three different models of political power to see which can best explain the development of the Bay Area Rapid Transit System in San Francisco and the attempts of Los Angeles to build a comparable system. Originally published in 1982. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Institute of Medicine |
| Publisher | : National Academies Press |
| Total Pages | : 619 |
| Release | : 2007-10-24 |
| Genre | : Medical |
| ISBN | : 0309104726 |
The future of disability in America will depend on how well the U.S. prepares for and manages the demographic, fiscal, and technological developments that will unfold during the next two to three decades. Building upon two prior studies from the Institute of Medicine (the 1991 Institute of Medicine's report Disability in America and the 1997 report Enabling America), The Future of Disability in America examines both progress and concerns about continuing barriers that limit the independence, productivity, and participation in community life of people with disabilities. This book offers a comprehensive look at a wide range of issues, including the prevalence of disability across the lifespan; disability trends the role of assistive technology; barriers posed by health care and other facilities with inaccessible buildings, equipment, and information formats; the needs of young people moving from pediatric to adult health care and of adults experiencing premature aging and secondary health problems; selected issues in health care financing (e.g., risk adjusting payments to health plans, coverage of assistive technology); and the organizing and financing of disability-related research. The Future of Disability in America is an assessment of both principles and scientific evidence for disability policies and services. This book's recommendations propose steps to eliminate barriers and strengthen the evidence base for future public and private actions to reduce the impact of disability on individuals, families, and society.
| Author | : Thomas Abdallah |
| Publisher | : Elsevier |
| Total Pages | : 266 |
| Release | : 2023-05-25 |
| Genre | : Transportation |
| ISBN | : 0443152721 |
Sustainable Mass Transit: Challenges and Opportunities in Urban Public Transportation, Second Edition highlights the many sustainability solutions and alternatives to fossil fuel usage including renewable energy and efficiency in mass transit, as well as the conservation of materials, water, and air and the overall health of communities. This new edition will update the reader on developments in the field since 2017 and advancements in sustainability solutions. It explores how Environmental Management System frameworks improve environmental performance in the operations, maintenance, design, rehabilitation, and expansion of a mass transportation system. The book covers the numerous types of mass transit systems, looking closely at all their key functions, including operations, maintenance, development, design, building, and retrofitting. It explores the mitigation measures that reduce or eliminate negative environmental impacts, including green infrastructure, materials conservation, ecological conservation, and more. It covers energy, greenhouse gas emissions, toxic pollution and other significant environmental impacts, recycling, and more. It also examines organizational best practices and environmental regulatory constraints and life cycle assessments, describing which sustainable elements can be added while rehabilitating or expanding a mass transportation infrastructure or ancillary facility. The book concludes with a look at forthcoming sustainable initiatives that will enhance mass transit systems. - Contains case studies from around the world, including several new case studies from the United States, Canada, Mexico, South America, Europe and Asia - Thoroughly updated with four new chapters on The Sustainable Mass Transit Revolution, Relevance of Mass Transit, Environmental Professionals in Transportation, and Reimagining Sustainable Mass Transit - Includes a new companion website with assessment questions for educators, image files and video presentations - Shows how teams from different fields, entities, agencies and cities can work together to solve complex sustainability challenges
| Author | : George E. Gray |
| Publisher | : Englewood Cliffs, N.J. : Prentice Hall |
| Total Pages | : 778 |
| Release | : 1992 |
| Genre | : Political Science |
| ISBN | : |
A reference on the subject of public transportation. Current issues such as traffic congestion, air pollution and energy conservation are covered to provide a framework for informed decision making. The book is aimed at civil and transportation engineers, planners, operators and public officials.
| Author | : Filippo Santambrogio |
| Publisher | : Birkhäuser |
| Total Pages | : 376 |
| Release | : 2015-10-17 |
| Genre | : Mathematics |
| ISBN | : 3319208284 |
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
