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Author: Svetlozar T. Rachev
Publisher: Springer Science & Business Media
ISBN: 0387227555
Category : Mathematics
Languages : en
Pages : 533
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Book Description
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
ISBN: 0387227555
Category : Mathematics
Languages : en
Pages : 533
Get Book Here
Book Description
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
ISBN: 0387227563
Category : Mathematics
Languages : en
Pages : 450
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Book Description
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: Cédric Villani
Publisher: American Mathematical Soc.
ISBN: 1470467267
Category : Education
Languages : en
Pages : 402
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Book Description
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
ISBN: 9780128170267
Category : Transportation
Languages : en
Pages : 0
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Book Description
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: William R. Black
Publisher: Guilford Press
ISBN: 1606239058
Category : Social Science
Languages : en
Pages : 321
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Book Description
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: Gianni Dal Maso
Publisher: Springer Science & Business Media
ISBN: 9783764369132
Category : Mathematics
Languages : en
Pages : 208
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Book Description
This volume contains the Proceedings of the International Workshop "Variational Methods For Discontinuous Structures", held at Villa Erba Antica (Cernobbio) on the Lago di Como, July 4-6, 2001. The workshop was jointly organized by the Dipartimento di Matematica Francesco Brioschi of Milano Politecnico and the International School for Advanced Studies (SISSA) of Trieste. In past years the calculus of variations faced mainly the study of continuous structures, particularly problems with smooth solutions. One of the deepest and more delicate problems was the regularity of weak solutions. More recently, new sophisticated tools have been introduced in order to study discontinuities. In many variational problems solutions develop singularities, and sometimes the most interesting part of a solution is the singularity itself. The conference intended to focus on recent developments in this direction. Some of the talks were devoted to differential or variational modelling of image segmentation, occlusion and textures synthesizing in image analysis, variational description of micro-magnetic materials, dimension reduction and structured deformations in elasticity and plasticity, phase transitions, irrigation and drainage, evolution of crystalline shapes. In most cases theoretical and numerical analysis of these models were provided. Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport problems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework. This volume contains contributions by 12 of the 16 speakers invited to deliver lectures in the workshop. Most of the contributions present original results in fields which are rapidly evolving at present.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 430
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Book Description
Author: Thomas Abdallah
Publisher: Elsevier
ISBN: 0443152721
Category : Transportation
Languages : en
Pages : 266
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Book Description
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: J. Allen Whitt
Publisher: Princeton University Press
ISBN: 1400857457
Category : Transportation
Languages : en
Pages : 246
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Book Description
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: Svetlozar Todorov Rachev
Publisher:
ISBN:
Category :
Languages : it
Pages :
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Book Description
