Optimal Transportation Networks
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Optimal Transportation Networks
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Author : Marc Bernot
language : en
Publisher: Springer Science & Business Media
Release Date : 2009
Optimal Transportation Networks written by Marc Bernot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Business & Economics categories.
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional whose essential feature is to favour wide roads. Such a branched structure is observable in ground transportation networks, in draining and irrigation systems, in electrical power supply systems and in natural counterparts such as blood vessels or the branches of trees. These lectures provide mathematical proof of several existence, structure and regularity properties empirically observed in transportation networks. The link with previous discrete physical models of irrigation and erosion models in geomorphology and with discrete telecommunication and transportation models is discussed. It will be mathematically proven that the majority fit in the simple model sketched in this volume.
Optimal Transportation Networks
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Author : Marc Bernot
language : en
Publisher: Springer
Release Date : 2008-10-23
Optimal Transportation Networks written by Marc Bernot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-23 with Mathematics categories.
This book provides mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks.
An Algorithm For Synthesizing Optimal Transportation Networks
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Author : Kent Leland Groninger
language : en
Publisher:
Release Date : 1971
An Algorithm For Synthesizing Optimal Transportation Networks written by Kent Leland Groninger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Network analysis (Planning) categories.
Optimal Urban Networks Via Mass Transportation
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Author : Giuseppe Buttazzo
language : en
Publisher: Springer
Release Date : 2008-11-09
Optimal Urban Networks Via Mass Transportation written by Giuseppe Buttazzo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-09 with Mathematics categories.
Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.
Optimal Transport Networks In Nature
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Author : Natalya Kizilova
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010
Optimal Transport Networks In Nature written by Natalya Kizilova and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Medical categories.
This unique book presents a broad range of data on geometry and topology of long-distance liquid transport networks in nature including circulatory and respiratory systems of mammals, trophic fluid transport systems of animals, and conducting systems of higher plants. It is the very first book where evidence of the common design principles and optimal properties of the transportation networks of vascular plants and animals is provided. The book also provides a comprehensive comparative study of the recent measurement results and data analysis, including unique data obtained by the author to conduct systems of plant leaves of different shapes, sizes, venation types and evolutionary ages. It was shown that the mathematical solutions of the optimization problem for the animal and plant conducting systems lead to the same design principles, despite different physical conditions of the fluid transport.
Optimal Transport
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Author : Cédric Villani
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-26
Optimal Transport written by Cédric Villani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-26 with Mathematics categories.
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Centrality In Strategic Transportation Network Design
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Author : Anne Lange
language : en
Publisher: Springer
Release Date : 2019-03-01
Centrality In Strategic Transportation Network Design written by Anne Lange and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-01 with Business & Economics categories.
Efficient and effective transportation networks are backbones to modern societies. Methodologically, their design has mainly been driven by optimization approaches oftentimes with a strong cost focus. Their strategic planning, however, should go beyond detailed cost analysis and identify other key decision drivers. Transportation network centrality describes the appearance of a network; hence is crucial for network design. Anne Paul develops a strategic approach to transportation network design by conceptualizing transportation network centrality and relating it to the performance and quality of transportation networks. Consequently, the concept of network centrality serves to support decisions in strategic network design. A practical implementation of this approach is provided, demonstrating its feasibility. Potential readers include scholars and practitioners from logistics, supply chain management, and operational researchwith an interest in strategic transportation network design.
An Algorithm For Synthesizing Optimal Transportation Networks
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Author : Kent Leland Groninger
language : en
Publisher:
Release Date : 1971
An Algorithm For Synthesizing Optimal Transportation Networks written by Kent Leland Groninger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Network analysis (Planning) categories.
Optimal Transport For Applied Mathematicians
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Author : Filippo Santambrogio
language : en
Publisher: Birkhäuser
Release Date : 2015-10-17
Optimal Transport For Applied Mathematicians written by Filippo Santambrogio and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-17 with Mathematics categories.
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.
Networks
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Author : Sanjeev Goyal
language : en
Publisher: MIT Press
Release Date : 2023-04-18
Networks written by Sanjeev Goyal and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Business & Economics categories.
An accessible and comprehensive overview of the economic theory and the realities of networks written by a pioneering economics researcher. Networks are everywhere: the infrastructure that brings water into our homes, the social networks made up of our friends and families, the supply chains connecting cities, people, and goods. These interconnections contain economic trade-offs: for example, should an airline operate direct flights between cities or route all its flights through a hub? Viewing networks through an economics lens, this textbook considers the costs and benefits that govern their formation and functioning. Networks are central to an understanding of the production, consumption, and information that lie at the heart of economic activity. Sanjeev Goyal provides advanced undergraduate and graduate students with an accessible and comprehensive introduction to the economics research on networks of the past twenty-five years. Each chapter introduces a theoretical model illustrated with the help of case studies and formal proofs. After introducing the theoretical concepts, Goyal examines economic networks, including infrastructure, security, market power, and financial networks. He then covers social networks, with chapters on coordinating activity, communication and learning, information networks, epidemics, and impersonal markets. Finally, Goyal locates social and economic networks in a broader context covering networked markets, economic development, trust, and group networks in their relation to markets and the state. First textbook to provide a broad and comprehensive overview of twenty-first-century economic theory of networks Features engaging case studies and accessible exercises Written by a pioneering economics researcher