Network Flow Programming
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Network Flow Programming
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Author : Paul A. Jensen
language : en
Publisher: John Wiley & Sons
Release Date : 1980-07-08
Network Flow Programming written by Paul A. Jensen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-07-08 with Computers categories.
Network flow models. Modeling applications of network programming. Formalization of network models. Network manipulation algorithms. The shortest path problem. The maximum flow problem. Pure minimum cost flow problems. The out-of-kilter algorithm. Network manipulation algorithms for the generalized network. Generalized minimum cost flow problems. The convex minimum cost flow problem. Concave costs. References. Index.
Linear Programming And Network Flows
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Author : Mokhtar S. Bazaraa
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-28
Linear Programming And Network Flows written by Mokhtar S. Bazaraa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-28 with Mathematics categories.
The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include: The cycling phenomenon in linear programming and the geometry of cycling Duality relationships with cycling Elaboration on stable factorizations and implementation strategies Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilter algorithm Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.
Linear Programming And Network Flows
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Author : M. S. Bazaraa
language : en
Publisher: John Wiley & Sons
Release Date : 1977
Linear Programming And Network Flows written by M. S. Bazaraa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Results from linear algebra and convex analysis; the simplex method; starting solution and convergence; special simplex forms and optimality conditions; duality and sensitivity; the decomposition principle; the transportation and assignment problems; minimal cost network flows; the out-of-kilter algorithm; maximal flow, shortest path, and multicommodity flow problems; proof of the representation theorem.
Network Flows And Monotropic Optimization
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Author : R. Tyrell Rockafellar
language : en
Publisher: Athena Scientific
Release Date : 1999-06-01
Network Flows And Monotropic Optimization written by R. Tyrell Rockafellar and has been published by Athena Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-01 with Mathematics categories.
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
Network Flows
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Author : Ravindra K. Ahuja
language : en
Publisher: Pearson
Release Date : 1993
Network Flows written by Ravindra K. Ahuja and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Business & Economics categories.
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.
Algorithms For Network Programming
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Author : Jeff L. Kennington
language : en
Publisher: John Wiley & Sons
Release Date : 1980
Algorithms For Network Programming written by Jeff L. Kennington and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.
Linear programming; the simplex method for network program; the out-of-kilter algorithm for the network program; the simplex method for the generalized network problem; the multicommodity network flow problem; the simplex method for the network with side constraints model; appendixes: characterization of a tree; data structures for network programs; convergence of subgradient optimization algorithm; projection operation for subgradient algorithm; a product form representation of the inverse of a multicommodity cycle matrix; NETFLO; references; index.
Programming In Networks And Graphs
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Author : Ulrich Derigs
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Programming In Networks And Graphs written by Ulrich Derigs 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 2013-11-11 with Business & Economics categories.
Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed. These algorithms are usually classified as primal, dual, primal-dual etc. The question the author addresses in this work is that of the existence of a common combinatorial principle which might be inherent in all those apparently different approaches. It is shown that all common network flow and matching algorithms implicitly follow the so-called shortest augmenting path. This can be interpreted as a greedy-like decision rule where the optimal solution is built up through a sequence of local optimal solutions. The efficiency of this approach is realized by combining this myopic decision rule with an anticipant organization. The approach of this work is organized as follows. For several standard flow and matching problems the common solution procedures are first reviewed. It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule. Recognizing this near-equivalence of all commonly used algorithms the question of the best method has to be modified - all methods are (only) different implementations of the same algorithm obtained by different views of the problem.
Linear Programming And Network Flows 2nd Ed
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Author : Mokhtar S. Bazaraa
language : en
Publisher: John Wiley & Sons
Release Date : 2008-11-04
Linear Programming And Network Flows 2nd Ed written by Mokhtar S. Bazaraa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-04 with categories.
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
Network Flow Transportation And Scheduling Theory And Algorithms
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Author : Masao
language : en
Publisher: Academic Press
Release Date : 2011-10-14
Network Flow Transportation And Scheduling Theory And Algorithms written by Masao and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-14 with Computers categories.
Network Flow, Transportation, and Scheduling; Theory and Algorithms
Models And Applications Of Generalized Network Flow Programming
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Author : Moshen Amirkalali
language : en
Publisher:
Release Date : 1981
Models And Applications Of Generalized Network Flow Programming written by Moshen Amirkalali and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.