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Mass Transportation Problems

Mass Transportation Problems
Author: Svetlozar T. Rachev
Publisher: Springer Science & Business Media
Total Pages: 450
Release: 2006-05-09
Genre: Mathematics
ISBN: 0387227563

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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.


Mass Transportation Problems

Mass Transportation Problems
Author: Svetlozar T. Rachev
Publisher: Springer Science & Business Media
Total Pages: 533
Release: 2006-05-17
Genre: Mathematics
ISBN: 0387227555

Download Mass Transportation Problems Book in PDF, ePub and Kindle

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.


Mass transportation problems

Mass transportation problems
Author: Svetlozar Todorov Rachev
Publisher:
Total Pages:
Release: 1998
Genre:
ISBN:

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Mass Transportation Problems

Mass Transportation Problems
Author: Svetlozar Todorov Rachev
Publisher:
Total Pages: 513
Release: 1998
Genre: Mathematics
ISBN: 9781280010217

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This is the first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory of mass transportation with emphasis to the Monge-Kantorovich mass transportation and the Kantorovich- Rubinstein mass transshipment problems, and their various extensions. They discuss a variety of different approaches towards solutions of 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 to the mass transportation and mass transshipment problems to topics in applied probability, theory of moments and distributions with given marginals, queucing theory, risk theory of probability metrics and its applications to various fields, amoung them general limit theorems for Gaussian and non-Gaussian limiting laws, stochastic differential equations, stochastic algorithms and rounding problems. The book will be useful to graduate students and researchers in the fields of 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.


Topics in Optimal Transportation

Topics in Optimal Transportation
Author: Cédric Villani
Publisher: American Mathematical Soc.
Total Pages: 370
Release: 2021-08-25
Genre: Education
ISBN: 1470467267

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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.


Washington Metropolitan Area Transportation Problems

Washington Metropolitan Area Transportation Problems
Author: United States. Congress. Joint Committee on Washington Metropolitan Problems
Publisher:
Total Pages: 384
Release: 1958
Genre: Local transit
ISBN:

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Sustainable Transportation

Sustainable Transportation
Author: William R. Black
Publisher: Guilford Press
Total Pages: 321
Release: 2010-01-04
Genre: Social Science
ISBN: 1606239058

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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.


The Federal Role in Urban Mass Transportation

The Federal Role in Urban Mass Transportation
Author: George M. Smerk
Publisher:
Total Pages: 408
Release: 1991
Genre: Political Science
ISBN:

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"Smerk's account, thankfully, is not just another exercise in quantitative analysis. He makes his points with words and sentences, not numbers and charts. The result is a free-flowing narrative in which changes in federal policy over the years are shown to have occurred because people interacted within certain political frames of reference. . . . I highly recommend this book . . . " —Brian J. Cudahy, Business Horizons " . . . a solid history of an important component of modern public policy . . . ably integrated with scholarship on metropolitan development so that urbanists can learn much here." —Choice "This book is 'must' reading for anyone who has deep interests in transit issues specifically and transportation problems in general, but it is also for all those who are more than casually curious about the dynamics of urbanization." —Economic Geography " . . . a highly in-depth study of the impact of governmental policies on the mass transit industry over the last few decades and where it may soon be heading." —Railfan and Railroad Magazine " . . . a timely and important book." —Business History Review This important new book is the only available comprehensive survey and analysis of federal policies and programs for urban mass transit. It is a must book for anyone interested in the plight of our cities and the efforts being made to solve our transportation problems.