Network Flows And Monotropic Optimization

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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

Linear Programming And Network Flows

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Author : Mokhtar S. Bazaraa
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-10

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 2011-08-10 with Mathematics categories.

Linear Programming and Network Flows, now in its third edition, addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequility constraints. This book: * Provides methods for modeling complex problems via effective algorithms on modern computers. * Presents the general theory and characteristics of optimization problems, along with effective solution algorithms. * Explores linear programming (LP) and network flows, employing polynomial-time algorithms and various specializations of the simplex method.

Network Flows And Monotropic Optimization

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Author : R.T. Rockafellar
language : it
Publisher:
Release Date :

Network Flows And Monotropic Optimization written by R.T. Rockafellar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Managing Traffic Performance In Converged Networks

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Author : Lorne Mason
language : en
Publisher: Springer
Release Date : 2007-09-04

Managing Traffic Performance In Converged Networks written by Lorne Mason and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-04 with Computers categories.

This book constitutes the refereed proceedings of the 10th International Teletraffic Congress, ITC 2007, held in Ottawa, Canada, June 2007. Coverage includes IPTV planning and modeling, network performance, traffic engineering, end-to-end delay in converged networks, queuing models, impact of convergence and divergence forces on network performance, traffic management in wireless networks, and network design for capacity and performance.

Variational Inequalities And Network Equilibrium Problems

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Author : F. Giannessi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Variational Inequalities And Network Equilibrium Problems written by F. Giannessi 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 2013-06-29 with Social Science categories.

This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

Partitions Optimality And Clustering Volume I Single Parameter

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Author : Frank Kwang-ming Hwang
language : en
Publisher: World Scientific
Release Date : 2011-12-09

Partitions Optimality And Clustering Volume I Single Parameter written by Frank Kwang-ming Hwang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-09 with Mathematics categories.

The need of optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The “clustering” problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion.Many well-known practical problems of optimal partitions are dealt with. The authors show how they can be solved using the theory — or why they cannot be. These problems include: allocation of components to maximize system reliability; experiment design to identify defectives; design of circuit card library and of blood analyzer lines; abstraction of finite state machines and assignment of cache items to pages; the division of property and partition bargaining as well as touching on those well-known research areas such as scheduling, inventory, nearest neighbor assignment, the traveling salesman problem, vehicle routing, and graph partitions. The authors elucidate why the last three problems cannot be solved in the context of the theory.

Discrete Convex Analysis

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Author : Kazuo Murota
language : en
Publisher: SIAM
Release Date : 2003-01-01

Discrete Convex Analysis written by Kazuo Murota and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.

Discrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics. This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis. Discrete Convex Analysis provides the information that professionals in optimization will need to "catch up" with this new theoretical development. It also presents an unexpected connection between matroid theory and mathematical economics and expounds a deeper connection between matrices and matroids than most standard textbooks.

Dynamic Programming And Optimal Control

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Author : Dimitri Bertsekas
language : en
Publisher: Athena Scientific
Release Date : 2012-10-23

Dynamic Programming And Optimal Control written by Dimitri Bertsekas and has been published by Athena Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-23 with Mathematics categories.

This is the leading and most up-to-date textbook on the far-ranging algorithmic methodology of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization. The treatment focuses on basic unifying themes, and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and other fields. It also addresses extensively the practical application of the methodology, possibly through the use of approximations, and provides an extensive treatment of the far-reaching methodology of Neuro-Dynamic Programming/Reinforcement Learning. Among its special features, the book 1) provides a unifying framework for sequential decision making, 2) treats simultaneously deterministic and stochastic control problems popular in modern control theory and Markovian decision popular in operations research, 3) develops the theory of deterministic optimal control problems including the Pontryagin Minimum Principle, 4) introduces recent suboptimal control and simulation-based approximation techniques (neuro-dynamic programming), which allow the practical application of dynamic programming to complex problems that involve the dual curse of large dimension and lack of an accurate mathematical model, 5) provides a comprehensive treatment of infinite horizon problems in the second volume, and an introductory treatment in the first volume.

Methodology Implementation And Applications Of Decision Support Systems

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Author : A. Lewandowski
language : en
Publisher: Springer
Release Date : 2014-05-04

Methodology Implementation And Applications Of Decision Support Systems written by A. Lewandowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.

The book aims at giving the methodological framework for design decision support systems. Several applications are also described in detail, ranging from environment control, production planning, transportation planning. The book is of special interest to operations researchers, environment specialists, production planners, and transportation engineers.

Advances In Technology And Management

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Author : Haenakon Kim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-11

Advances In Technology And Management written by Haenakon Kim 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 2012-05-11 with Technology & Engineering categories.

This book Advances in Technology and Management contains 116 full length papers presented at the International Conference on Technology and Management, held on June 12-13, 2012, Jeju-Island, Korea. The goal of ICTAM 2012 is to bring together researchers working in many different areas of technology and management to foster international collaborations and exchange of new ideas. This volume can be divided into two sections on the basis of the classification of manuscripts considered. The first section deals with technology. The second section of this volume consists of management.