Network Flows and Monotropic Optimization

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Author :
Release : 1999-06-01
Genre : Mathematics
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Book Rating : 06X/5 ( reviews)

Network Flows and Monotropic Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Network Flows and Monotropic Optimization write by R. Tyrell Rockafellar. This book was released on 1999-06-01. Network Flows and Monotropic Optimization available in PDF, EPUB and Kindle. 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 And Monotropic Optimization

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Network Flows And Monotropic Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Network Flows And Monotropic Optimization write by R.T. Rockafellar. This book was released on . Network Flows And Monotropic Optimization available in PDF, EPUB and Kindle.

Convex Optimization Theory

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Release : 2009-06-01
Genre : Mathematics
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Book Rating : 310/5 ( reviews)

Convex Optimization Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Convex Optimization Theory write by Dimitri Bertsekas. This book was released on 2009-06-01. Convex Optimization Theory available in PDF, EPUB and Kindle. An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the analytical/geometrical foundations of convex optimization and duality theory. Convexity theory is first developed in a simple accessible manner, using easily visualized proofs. Then the focus shifts to a transparent geometrical line of analysis to develop the fundamental duality between descriptions of convex functions in terms of points, and in terms of hyperplanes. Finally, convexity theory and abstract duality are applied to problems of constrained optimization, Fenchel and conic duality, and game theory to develop the sharpest possible duality results within a highly visual geometric framework. This on-line version of the book, includes an extensive set of theoretical problems with detailed high-quality solutions, which significantly extend the range and value of the book. The book may be used as a text for a theoretical convex optimization course; the author has taught several variants of such a course at MIT and elsewhere over the last ten years. It may also be used as a supplementary source for nonlinear programming classes, and as a theoretical foundation for classes focused on convex optimization models (rather than theory). It is an excellent supplement to several of our books: Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 2017), Network Optimization(Athena Scientific, 1998), Introduction to Linear Optimization (Athena Scientific, 1997), and Network Flows and Monotropic Optimization (Athena Scientific, 1998).

Linear Network Optimization

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Release : 1991
Genre : Business & Economics
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Book Rating : 344/5 ( reviews)

Linear Network Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Network Optimization write by Dimitri P. Bertsekas. This book was released on 1991. Linear Network Optimization available in PDF, EPUB and Kindle. Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems.

Network Optimization

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Release : 2012-12-06
Genre : Business & Economics
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Book Rating : 795/5 ( reviews)

Network Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Network Optimization write by Panos M. Pardalos. This book was released on 2012-12-06. Network Optimization available in PDF, EPUB and Kindle. Network optimization is important in the modeling of problems and processes from such fields as engineering, computer science, operations research, transportation, telecommunication, decision support systems, manufacturing, and airline scheduling. Recent advances in data structures, computer technology, and algorithm development have made it possible to solve classes of network optimization problems that until recently were intractable. The refereed papers in this volume reflect the interdisciplinary efforts of a large group of scientists from academia and industry to model and solve complicated large-scale network optimization problems.