Analysis of the Braess paradox under various assignments from shipping units to carriers

Book Review: Analysis of the Braess paradox under various assignments from shipping units to carriers

Analysis of the Braess paradox under various assignments from shipping units to carriers

publishedDate : 2014-09-24

authors : Marc-André Dr. Weber, Florian Koch

publishers : GRIN Verlag

pageCount : 15

Analysis of the Braess paradox under various assignments from shipping …

Analysis of the Braess paradox under various assignments from shipping units to carriers College University of Duisburg-Essen Grade 2 Authors Marc-André Dr. Weber (Author) Florian Koch (Author) Year 2014 Pages 15 Catalog Number V280983 ISBN (eBook) 9783656750673 ISBN ( Book ) 9783656750369 File size 547 KB Language

How Closing Roads Could Speed Up Traffic – The Braess Paradox

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Analysis Of The Braess Paradox Under Various Assignments From Shipping Units To Carriers


Analysis Of The Braess Paradox Under Various Assignments From Shipping Units To Carriers

Author by : Marc-André Dr. Weber
Languange Used : en
Release Date : 2014-09-24
Publisher by : GRIN Verlag

ISBN :

Description : Scientific Study from the year 2014 in the subject Economy - Transport Economics, grade: 2, University of Duisburg-Essen, language: English, abstract: The Braess paradox, introduced by D. Braess in 1968, describes the situation in which the total time spent in a system for at least two vehicles travelling from one node to another within a network of several nodes may increase if an additional path is added. This effect is due to non-cooperative behavior of the subjects involved and the fact that time consumption on the paths depends on their respective congestion. In this Game Theoretical paradox, full information is given to all vehicles about the theoretically shortest path for one vehicle, measured in time units, disregarding any congestion, which leads to a routing decision of individual rationality. This paper analyzes the Braess paradox if several shipping units have to be transported by multiple vehicles and load weight influences traffic congestion. A mixed integer linear programming formulation is used to model the problem. We introduce the model in detail, give numerical examples and analyze the results. A brief literature review on previous publications dealing with the Braess paradox is given as well....






Current Literature In Traffic And Transportation


Current Literature In Traffic And Transportation

Author by :
Languange Used : en
Release Date : 1970
Publisher by :

ISBN :

Description : ...






Networks Crowds And Markets


Networks Crowds And Markets

Author by : David Easley
Languange Used : en
Release Date : 2010-07-19
Publisher by : Cambridge University Press

ISBN :

Description : Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others....






Fragile Networks


Fragile Networks

Author by : Anna Nagurney
Languange Used : en
Release Date : 2009-08-17
Publisher by : John Wiley & Sons

ISBN :

Description : A unified treatment of the vulnerabilities that exist in real-world network systems—with tools to identify synergies for mergers and acquisitions Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World presents a comprehensive study of network systems and the roles these systems play in our everyday lives. This book successfully conceptualizes, defines, and constructs mathematically rigorous, computer-based tools for the assessment of network performance and efficiency, along with robustness and vulnerability analysis. The result is a thorough exploration that promotes an understanding of the critical infrastructure of today's network systems, from congested urban transportation networks and supply chain networks under disruption to financial networks and the Internet. The authors approach the analyses by abstracting not only topological structures of networks, but also the behavior of network users, the demand for resources, the resulting flows, and the associated costs. Following an introduction to the fundamental methodologies and tools required for network analysis and network vulnerability, the book is organized into three self-contained parts: Part I—Network Fundamentals, Efficiency Measurement, and Vulnerability Analysis explores the theoretical and practical foundations for a new network efficiency measure in order to assess the importance of network components in various network systems. Methodologies for distinct decision-making behaviors are outlined, along with the tools for qualitative analysis, the algorithms for the computation of solutions, and a thorough discussion of the unified network efficient measure and network robustness with the unified measure. Part II—Applications and Extensions examines the efficiency changes and the associated cost increments after network components are eliminated or partially damaged. A discussion of the recently established connections between transportation networks and different critical networks is provided, which demonstrates how the new network measures and robustness indices can be applied to different supply chain, financial, and dynamic networks, including the Internet and electronic power networks. Part III—Mergers and Acquisitions, Network Integration, and Synergies reveals the connections between transportation networks and different network systems and quantifies the synergies associated with the network systems, from total cost reduction to environmental impact assessment. In the case of mergers and acquisitions, the focus is on supply chain networks. The authors outline a system-optimization perspective for supply chain networks and also formalize coalition formation using game theory with insights into the merger paradox. With its numerous network examples and real-world applications, Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World is an excellent book for courses in network science, transportation science, operations management, and financial networks at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners in the areas of applied mathematics, computer science, operations research, management science, finance, and economics, as well as industrial, systems, and civil engineering. Listen to Dr. Nagurney's podcast Supernetworks: Building Better Real and Virtual Highways at http://www.scienceofbetter.org/podcast/ ....






Transport Supply Analysis


Transport Supply Analysis

Author by : National Research Council (U.S.). Committee on Transportation Supply Analysis
Languange Used : en
Release Date : 1989
Publisher by : Washington, D.C. : Transportation Research Board, National Research Council

ISBN :

Description : ...






To Queue Or Not To Queue


To Queue Or Not To Queue

Author by : Refael Hassin
Languange Used : en
Release Date : 2003
Publisher by : Springer Science & Business Media

ISBN :

Description : To Queue Or Not To Queue: Equilibrium Behavior in Queueing Systems focuses on the highly interesting, practical viewpoint of customer behavior and its effect on the performance of the queueing system. The book's objectives are threefold: (1) It is a comprehensive survey of the literature on equilibrium behavior of customers and servers in queueing systems. The literature is rich and considerable, but lacks continuity. This book will provide the needed continuity and cover some issues that have not been adequately treated. (2) In addition, it will examine the known results of the field, classify them and identify where and how they relate to each other. (3) And finally, it seeks to fill a number of the gaps in the literature with new results while explicitly outlining open problems in other areas. With this book, it is the authors' paramount purpose is to motivate further research and to help researchers identify new and interesting open problems....






Game Theory Alive


Game Theory Alive

Author by : Anna R. Karlin
Languange Used : en
Release Date : 2017-04-27
Publisher by : American Mathematical Soc.

ISBN :

Description : We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others....






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