Flows In Networks
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| Author | : Lester Randolph Ford Jr. |
| Publisher | : Princeton University Press |
| Total Pages | : 216 |
| Release | : 2024-12-03 |
| Genre | : Computers |
| ISBN | : 069127343X |
A landmark work that belongs on the bookshelf of every researcher working with networks In this classic book, first published in 1962, L. R. Ford, Jr., and D. R. Fulkerson set the foundation for the study of network flow problems. The models and algorithms introduced in Flows in Networks are used widely today in the fields of transportation systems, manufacturing, inventory planning, image processing, and Internet traffic. The techniques presented by Ford and Fulkerson spurred the development of powerful computational tools for solving and analyzing network flow models, and also furthered the understanding of linear programming. In addition, the book helped illuminate and unify results in combinatorial mathematics while emphasizing proofs based on computationally efficient construction. With an incisive foreword by Robert Bland and James Orlin, Flows in Networks is rich with insights that remain relevant to current research in engineering, management, and other sciences.
| Author | : David P. Williamson |
| Publisher | : Cambridge University Press |
| Total Pages | : 327 |
| Release | : 2019-09-05 |
| Genre | : Computers |
| ISBN | : 1316946665 |
Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.
| Author | : Ravindra K. Ahuja |
| Publisher | : Andesite Press |
| Total Pages | : |
| Release | : 2015-08-08 |
| Genre | : |
| ISBN | : 9781297491764 |
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
| Author | : Janusz Filipiak |
| Publisher | : Springer |
| Total Pages | : 224 |
| Release | : 1988 |
| Genre | : Technology & Engineering |
| ISBN | : 9783540182924 |
In modern communication networks with stored program control the implementation of sophisticated traffic control rules is worthwhile. This allows efficient sharing of existing resources and often defers network extension. Moreover, the flexible control adapts well to changing load conditions during periods of overload and equipment failure. When these benefits become evident, many network administrations start to implement corresponding solutions. This book attempts to provide a systematic approach to the analysis and synthesis of advanced traffic control concepts. Because the book is oriented toward engineering applications, mathematical concepts are often illustrated with examples. The reader is assumed to be familiar with advanced calculus, differential equations and probability theory to engineering level.
| Author | : Mokhtar S. Bazaraa |
| Publisher | : |
| Total Pages | : 706 |
| Release | : 1990 |
| Genre | : Computers |
| ISBN | : |
| Author | : William J. Cook |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 565 |
| Release | : 2008-11-07 |
| Genre | : Mathematics |
| ISBN | : 3540767967 |
The editors and authors dedicate this book to Bernhard Korte on the occasion of his seventieth birthday. We, the editors, are happy about the overwhelming feedback to our initiative to honor him with this book and with a workshop in Bonn on November 3–7,2008.Althoughthiswouldbeareasontolookback,wewouldratherliketolook forward and see what are the interesting research directions today. This book is written by leading experts in combinatorial optimization. All - pers were carefully reviewed, and eventually twenty-three of the invited papers were accepted for this book. The breadth of topics is typical for the eld: combinatorial optimization builds bridges between areas like combinatorics and graph theory, submodular functions and matroids, network ows and connectivity, approximation algorithms and mat- matical programming, computational geometry and polyhedral combinatorics. All these topics are related, and they are all addressed in this book. Combi- torial optimization is also known for its numerous applications. To limit the scope, however, this book is not primarily about applications, although some are mentioned at various places. Most papers in this volume are surveys that provide an excellent overview of an activeresearcharea,butthisbookalsocontainsmanynewresults.Highlightingmany of the currently most interesting research directions in combinatorial optimization, we hope that this book constitutes a good basis for future research in these areas.
| Author | : Michal Pioro |
| Publisher | : Elsevier |
| Total Pages | : 795 |
| Release | : 2004-07-21 |
| Genre | : Computers |
| ISBN | : 0080516432 |
In network design, the gap between theory and practice is woefully broad. This book narrows it, comprehensively and critically examining current network design models and methods. You will learn where mathematical modeling and algorithmic optimization have been under-utilized. At the opposite extreme, you will learn where they tend to fail to contribute to the twin goals of network efficiency and cost-savings. Most of all, you will learn precisely how to tailor theoretical models to make them as useful as possible in practice.Throughout, the authors focus on the traffic demands encountered in the real world of network design. Their generic approach, however, allows problem formulations and solutions to be applied across the board to virtually any type of backbone communication or computer network. For beginners, this book is an excellent introduction. For seasoned professionals, it provides immediate solutions and a strong foundation for further advances in the use of mathematical modeling for network design. - Written by leading researchers with a combined 40 years of industrial and academic network design experience. - Considers the development of design models for different technologies, including TCP/IP, IDN, MPLS, ATM, SONET/SDH, and WDM. - Discusses recent topics such as shortest path routing and fair bandwidth assignment in IP/MPLS networks. - Addresses proper multi-layer modeling across network layers using different technologies—for example, IP over ATM over SONET, IP over WDM, and IDN over SONET. - Covers restoration-oriented design methods that allow recovery from failures of large-capacity transport links and transit nodes. - Presents, at the end of each chapter, exercises useful to both students and practitioners.
| Author | : R. Tyrell Rockafellar |
| Publisher | : Athena Scientific |
| Total Pages | : 632 |
| Release | : 1999-06-01 |
| Genre | : Mathematics |
| ISBN | : 188652906X |
A rigorous and comprehensive treatment of network flow theory and monotropic optimization by one of the world's most renowned applied mathematicians. This classic textbook covers extensively the duality theory and the algorithms of linear and nonlinear network optimization optimization, and their significant extensions to monotropic programming (separable convex constrained optimization problems, including linear programs). It complements our other book on the subject of network optimization Network Optimization: Continuous and Discrete Models (Athena Scientific, 1998). Monotropic programming problems are characterized by a rich interplay between combinatorial structure and convexity properties. Rockafellar develops, for the first time, algorithms and a remarkably complete duality theory for these problems. Among its special features the book: (a) Treats in-depth the duality theory for linear and nonlinear network optimization (b) Uses a rigorous step-by-step approach to develop the principal network optimization algorithms (c) Covers the main algorithms for specialized network problems, such as max-flow, feasibility, assignment, and shortest path (d) Develops in detail the theory of monotropic programming, based on the author's highly acclaimed research (e) Contains many examples, illustrations, and exercises (f) Contains much new material not found in any other textbook
| Author | : Andreas Hepp |
| Publisher | : Hampton Press (NJ) |
| Total Pages | : 218 |
| Release | : 2008 |
| Genre | : Language Arts & Disciplines |
| ISBN | : |
"This book offers its readers a critical engagement with three key concepts for social and communication theory today - connectivity, networks and flows. The contributors are committed to conceptualizing contemporary communications in a changing world. They point to globalizing and deterritorializing processes, and to the increasing significance of mobilities in late modern existence - yet this is also a book about the continuing importance of locality, senses of place and physically copresent interaction in daily living." "Connectivity, Networks and Flows combines theoretical reflection with analysis of specific media and cultural practices. Featured examples of such practices include uses of mobile phones and the Internet, activities of online (and offline) working and socializing, and constructions of liveness and immediacy in electronically mediated communication. The book will be of particular interest to researchers and students in communications, media and cultural studies, sociology and social theory."--BOOK JACKET.
| Author | : David Easley |
| Publisher | : Cambridge University Press |
| Total Pages | : 745 |
| Release | : 2010-07-19 |
| Genre | : Computers |
| ISBN | : 1139490303 |
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.
