NETWORK FLOWS

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Network Flows

Author : Ravindra K. Ahuja
ISBN : 0353293512
Genre : Business & Economics
File Size : 70.24 MB
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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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Category: Business & Economics

Linear Programming And Network Flows

Author : Mokhtar S. Bazaraa
ISBN : 9781118211328
Genre : Mathematics
File Size : 80.5 MB
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The authoritative guide to modeling and solving complex problemswith linear programming—extensively revised, expanded, andupdated The only book to treat both linear programming techniques andnetwork flows under one cover, Linear Programming and NetworkFlows, Fourth Edition has been completely updated with thelatest developments on the topic. This new edition continues tosuccessfully emphasize modeling concepts, the design and analysisof algorithms, and implementation strategies for problems in avariety of fields, including industrial engineering, managementscience, operations research, computer science, andmathematics. The book begins with basic results on linear algebra and convexanalysis, and a geometrically motivated study of the structure ofpolyhedral sets is provided. Subsequent chapters include coverageof cycling in the simplex method, interior point methods, andsensitivity and parametric analysis. Newly added topics in theFourth Edition include: The cycling phenomenon in linear programming and the geometry ofcycling Duality relationships with cycling Elaboration on stable factorizations and implementationstrategies Stabilized column generation and acceleration of Benders andDantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilteralgorithm Heap implementation comments, negative cost circuit insights,and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustratedby numerical examples along with insights complete with detailedmathematical analysis and justification. An emphasis is placed onproviding geometric viewpoints and economic interpretations as wellas strengthening the understanding of the fundamental ideas. Eachchapter is accompanied by Notes and Referencessections that provide historical developments in addition tocurrent and future trends. Updated exercises allow readers to testtheir comprehension of the presented material, and extensivereferences provide resources for further study. Linear Programming and Network Flows, Fourth Edition isan excellent book for linear programming and network flow coursesat the upper-undergraduate and graduate levels. It is also avaluable resource for applied scientists who would like to refreshtheir understanding of linear programming and network flowtechniques.
Category: Mathematics

Network Flows And Matching

Author : David S. Johnson
ISBN : 0821870599
Genre : Mathematics
File Size : 84.65 MB
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Interest has grown recently in the application of computational and statistical tools to problems in the analysis of algorithms. In many algorithmic domains, worst-case bounds are too pessimistic and tractable probabilistic models too unrealistic to provide meaningful predictions of practical algorithmic performance. Experimental approaches can provide knowledge where purely analytical methods fail and can provide insights to motivate and guide deeper analytical results. The DIMACS Implementation Challenge was organized to encourage experimental work in the area of network flows and matchings. Participants at sites in the U.S., Europe, and Japan undertook projects between November 1990 and August 1991 to test and evaluate algorithms for these problems. The Challenge culminated in a three-day workshop, held in October 1991 at DIMACS. This volume contains the revised and refereed versions of twenty-two of the papers presented at the workshop, along with supplemental material about the Challenge and the Workshop.
Category: Mathematics

Network Flows And Network Design In Theory And Practice

Author : Jannik Matuschke
ISBN :
Genre :
File Size : 69.50 MB
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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.
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Network Flows Pearson New International Edition

Author : Ravindra K. Ahuja
ISBN : 1292042702
Genre : Mathematical optimization
File Size : 56.13 MB
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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.
Category: Mathematical optimization

Network Flow Analysis

Author : Michael Lucas
ISBN : 9781593272036
Genre : Business & Economics
File Size : 89.18 MB
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A detailed and complete guide to exporting, collecting, analyzing, and understanding network flows to make managing networks easier. Network flow analysis is the art of studying the traffic on a computer network. Understanding the ways to export flow and collect and analyze data separates good network administrators from great ones. The detailed instructions in Network Flow Analysis teach the busy network administrator how to build every component of a flow-based network awareness system and how network analysis and auditing can help address problems and improve network reliability. Readers learn what flow is, how flows are used in network management, and how to use a flow analysis system. Real-world examples illustrate how to best apply the appropriate tools and how to analyze data to solve real problems. Lucas compares existing popular tools for network management, explaining why they don't address common real-world issues and demonstrates how, once a network administrator understands the underlying process and techniques of flow management, building a flow management system from freely-available components is not only possible but actually a better choice than much more expensive systems.
Category: Business & Economics

Integer Programming And Network Flows

Author : Te Chiang Hu
ISBN : UOM:39015015600714
Genre : Integer programming
File Size : 83.42 MB
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Linear programming; Network flows; Integer programming.
Category: Integer programming

Linear Programming And Network Flows 2nd Ed

Author : Mokhtar S. Bazaraa
ISBN : 8126518928
Genre :
File Size : 20.73 MB
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The book addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequality constraints. The general theory and characteristics of optimization problems are presented, along with effective solution algorithms. It explores linear programming and network flows, employing polynomial-time algorithms and various specializations of the simplex method. The text also includes many numerical examples to illustrate theory and techniques.· Linear Algebra, Convex Analysis, and Polyhedral Sets· The Simplex Method· Starting Solution and Convergence· Special Simplex Implementations and Optimality Conditions· Duality and Sensitivity Analysis· The Decomposition Principle· Complexity of the Simplex Algorithm and Polynomial Algorithms· Minimal Cost Network Flows· The Transportation and Assignment Problems· The Out-of-Kilter Algorithm· Maximal Flow, Shortest Path, Multicommodity Flow, and Network Synthesis Problems
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