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Algorithmic Aspects Of Flows In Networks
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Book Synopsis Network Flow Algorithms by : David P. Williamson
Download or read book Network Flow Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2019-09-05 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Network Flows by : Ravindra K. Ahuja
Download or read book Network Flows written by Ravindra K. Ahuja and published by Andesite Press. This book was released on 2015-08-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algorithmic Aspects of Flows in Networks by : Günther Ruhe
Download or read book Algorithmic Aspects of Flows in Networks written by Günther Ruhe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: FEt moi ... sifavait sucommenten rcvenir, One service mathematics has rendered the jen'yseraispointall, : human race. It hasput rommon senseback JulesVerne whereit belongs, on the topmost shelf next tothedustycanisterlabelled'discardednon Theseriesis divergent; thereforewemaybe sense'. ahletodosomethingwithit. EricT. Bell O. Heaviside Mathematicsisatoolforthought. Ahighlynecessarytoolinaworldwherebothfeedbackandnon linearitiesabound. Similarly, allkindsofpartsofmathematicsserveastoolsforotherpartsandfor othersciences. Applyinga simplerewritingrule to thequoteon theright aboveonefinds suchstatementsas: 'One service topology hasrenderedmathematicalphysics ... '; 'Oneservicelogichasrenderedcom puterscience ... ';'Oneservicecategorytheoryhasrenderedmathematics ... '. Allarguablytrue. And allstatementsobtainablethiswayformpartoftheraisond'etreofthisseries. This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumeshaveappeareditseemsopportunetoreexamineitsscope. AtthetimeIwrote "Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by puttingforth new branches. It also happens, quiteoften in fact, that branches which were thought to becompletely disparatearesuddenly seento berelated. Further, thekindandlevelofsophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially)in regionaland theoretical economics; algebraic geometryinteractswithphysics; theMinkowskylemma, codingtheoryandthestructure of water meet one another in packing and covering theory; quantum fields, crystal defectsand mathematicalprogrammingprofit from homotopy theory; Liealgebras are relevanttofiltering; andpredictionandelectricalengineeringcanuseSteinspaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completelyintegrablesystems', 'chaos, synergeticsandlarge-scale order', whicharealmostimpossibletofitintotheexistingclassificationschemes. They drawuponwidelydifferentsectionsofmathematics." By andlarge, all this stillapplies today. Itis still truethatatfirst sightmathematicsseemsrather fragmented and that to find, see, and exploit the deeper underlying interrelations more effort is neededandsoarebooks thatcanhelp mathematiciansand scientistsdoso. Accordingly MIA will continuetotry tomakesuchbooksavailable. If anything, the description I gave in 1977 is now an understatement
Book Synopsis Network Flows by : Ravindra K. Ahuja
Download or read book Network Flows written by Ravindra K. Ahuja and published by Pearson. This book was released on 1993 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the classic and the contemporary aspects of the field, this comprehensive introduction to network flows provides an integrative view of theory, algorithms, and applications.It offers in-depth and self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including a description of new and novel polynomial-time algorithms for these core models.For professionals working with network flows, optimization, and network programming.
Book Synopsis ALGORITHMIC ASPECTS OF FLOWS IN NETWORKS by : Gunther Ruhe
Download or read book ALGORITHMIC ASPECTS OF FLOWS IN NETWORKS written by Gunther Ruhe and published by . This book was released on 1991 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Network Flow, Transportation, and Scheduling; Theory and Algorithms by : Masao
Download or read book Network Flow, Transportation, and Scheduling; Theory and Algorithms written by Masao and published by Academic Press. This book was released on 2011-10-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network Flow, Transportation, and Scheduling; Theory and Algorithms
Book Synopsis Data Structures and Network Algorithms by : Robert Endre Tarjan
Download or read book Data Structures and Network Algorithms written by Robert Endre Tarjan and published by SIAM. This book was released on 1983-01-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an analysis of their running time. Data Structures and Network Algorithms attempts to provide the reader with both a practical understanding of the algorithms, described to facilitate their easy implementation, and an appreciation of the depth and beauty of the field of graph algorithms.
Book Synopsis Algorithmic Aspects of Graph Connectivity by : Hiroshi Nagamochi
Download or read book Algorithmic Aspects of Graph Connectivity written by Hiroshi Nagamochi and published by Cambridge University Press. This book was released on 2019-05-16 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Aspects of Graph Connectivity is the first comprehensive book on this central notion in graph and network theory, emphasizing its algorithmic aspects. Because of its wide applications in the fields of communication, transportation, and production, graph connectivity has made tremendous algorithmic progress under the influence of the theory of complexity and algorithms in modern computer science. The book contains various definitions of connectivity, including edge-connectivity and vertex-connectivity, and their ramifications, as well as related topics such as flows and cuts. The authors comprehensively discuss new concepts and algorithms that allow for quicker and more efficient computing, such as maximum adjacency ordering of vertices. Covering both basic definitions and advanced topics, this book can be used as a textbook in graduate courses in mathematical sciences, such as discrete mathematics, combinatorics, and operations research, and as a reference book for specialists in discrete mathematics and its applications.
Book Synopsis Graphs, Networks and Algorithms by : Dieter Jungnickel
Download or read book Graphs, Networks and Algorithms written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed
Book Synopsis Optimization Algorithms for Networks and Graphs by : James Evans
Download or read book Optimization Algorithms for Networks and Graphs written by James Evans and published by Routledge. This book was released on 2017-10-19 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised and expanded advanced-undergraduate/graduate text (first ed., 1978) about optimization algorithms for problems that can be formulated on graphs and networks. This edition provides many new applications and algorithms while maintaining the classic foundations on which contemporary algorithm
Book Synopsis Network Optimization Problems: Algorithms, Applications And Complexity by : Ding-zhu Du
Download or read book Network Optimization Problems: Algorithms, Applications And Complexity written by Ding-zhu Du and published by World Scientific. This book was released on 1993-04-27 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a
Book Synopsis Network flows and network design in theory and practice by : Jannik Matuschke
Download or read book Network flows and network design in theory and practice written by Jannik Matuschke and published by Jannik Matuschke. This book was released on 2014 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow and network design problems arise in various application areas of combinatorial optimization, e.g., in transportation, production, or telecommunication. This thesis contributes new results to four different problem classes from this area, providing models and algorithms with immediate practical impact as well as theoretical insights into complexity and combinatorial structure of network optimization problems: (i) We introduce a new model for tactical transportation planning that employs a cyclic network expansion to integrate routing and inventory decisions into a unified capacitated network design formulation. We also devise several algorithmic approaches to solve the resulting optimization problem and demonstrate the applicability of our approach on a set of real-world logistic networks. (ii) We present approximation algorithms for combined location and network design problems, including the first constant factor approximation for capacitated location routing. (iii) We derive a max-flow/min-cut theorem for abstract flows over time, a generalization of the well-known work of Ford and Fulkerson that restricts to a minimal set of structural requirements. (iv) We devise algorithms for finding orientations of embedded graphs with degree constraints on vertices and faces, answering an open question by Frank.
Book Synopsis Linear Programming and Algorithms for Communication Networks by : Eiji Oki
Download or read book Linear Programming and Algorithms for Communication Networks written by Eiji Oki and published by CRC Press. This book was released on 2012-08-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explaining how to apply to mathematical programming to network design and control, Linear Programming and Algorithms for Communication Networks: A Practical Guide to Network Design, Control, and Management fills the gap between mathematical programming theory and its implementation in communication networks. From the basics all the way through to m
Book Synopsis Network Flows and Monotropic Optimization by : R. Tyrell Rockafellar
Download or read book Network Flows and Monotropic Optimization written by R. Tyrell Rockafellar and published by Athena Scientific. This book was released on 1999-06-01 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Scalable Algorithms for Data and Network Analysis by : Shang-Hua Teng
Download or read book Scalable Algorithms for Data and Network Analysis written by Shang-Hua Teng and published by . This book was released on 2016-05-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the age of Big Data, efficient algorithms are in high demand. It is also essential that efficient algorithms should be scalable. This book surveys a family of algorithmic techniques for the design of scalable algorithms. These techniques include local network exploration, advanced sampling, sparsification, and geometric partitioning.
Book Synopsis Oblivious Network Routing by : S. S. Iyengar
Download or read book Oblivious Network Routing written by S. S. Iyengar and published by MIT Press. This book was released on 2015-05 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Versatile solutions to routing network flows in unpredictable circumstances, presenting both mathematical tools and applications. Our increasingly integrated world relies on networks both physical and virtual to transfer goods and information. The Internet is a network of networks that connects people around the world in a real-time manner, but it can be disrupted by massive data flows, diverse traffic patterns, inadequate infrastructure, and even natural disasters and political conflict. Similar challenges exist for transportation and energy distribution networks. There is an urgent need for intelligent and adaptable routing of network flows, and a rich literature has evolved that treats “oblivious network design.” This book offers novel computational schemes for efficiently solving routing problems in unpredictable circumstances and proposes some real world applications for them. The versatile routing schemes mathematically guarantee long-term efficiency and are most appropriate for networks with non-deterministic (or oblivious) current and past states. After an introduction to network design and the importance of routing problems, the book presents mathematical tools needed to construct versatile routing schemes, emphasizing the role of linked hierarchical data structures, both top-down and bottom-up. It then describes two important applications of versatile routing schemes: a secure model for congestion-free content-centric networks (which will play a key role in the future of the Internet) and a novel approach for the distribution of green power resources on a smart electricity grid.
Book Synopsis Routing, Flow, and Capacity Design in Communication and Computer Networks by : Michal Pioro
Download or read book Routing, Flow, and Capacity Design in Communication and Computer Networks written by Michal Pioro and published by Elsevier. This book was released on 2004-07-21 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
