Network Flows And Monotropic Optimization

Author : R. Tyrell Rockafellar
Publisher : Athena Scientific
Page : 632 pages
File Size : 53,8 Mb
Release : 1999-06-01
Category : Mathematics
ISBN : 9781886529069

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Network Flows and Monotropic Optimization by R. Tyrell Rockafellar Pdf

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

Author : Ravindra K. Ahuja,Thomas L. Magnanti,James B. Orlin
Publisher : Pearson
Page : 870 pages
File Size : 52,5 Mb
Release : 1993
Category : Business & Economics
ISBN : UOM:39015049125019

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Network Flows by Ravindra K. Ahuja,Thomas L. Magnanti,James B. Orlin Pdf

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.

Author : Dimitri Bertsekas
Publisher : Athena Scientific
Page : 607 pages
File Size : 52,7 Mb
Release : 1998-01-01
Category : Business & Economics
ISBN : 9781886529021

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Network Optimization: Continuous and Discrete Models by Dimitri Bertsekas Pdf

An insightful, comprehensive, and up-to-date treatment of linear, nonlinear, and discrete/combinatorial network optimization problems, their applications, and their analytical and algorithmic methodology. It covers extensively theory, algorithms, and applications, and it aims to bridge the gap between linear and nonlinear network optimization on one hand, and integer/combinatorial network optimization on the other. It complements several of our books: Convex Optimization Theory (Athena Scientific, 2009), Convex Optimization Algorithms (Athena Scientific, 2015), Introduction to Linear Optimization (Athena Scientific, 1997), Nonlinear Programming (Athena Scientific, 1999), as well as our other book on the subject of network optimization Network Flows and Monotropic Optimization (Athena Scientific, 1998).

Author : D Z Du,P M Pardalos
Publisher : World Scientific
Page : 416 pages
File Size : 40,8 Mb
Release : 1993-04-27
Category : Electronic
ISBN : 9789814504584

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Network Optimization Problems: Algorithms, Applications and Complexity by D Z Du,P M Pardalos Pdf

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. Contents:Greedily Solvable Transportation Networks and Edge-Guided Vertex Elimination (I Adler & R Shamir)Networks Minimizing Length Plus the Number of Steiner Points (T Colthurst et al.)Practical Experiences Using an Interactive Optimization Procedure for Vehicle Scheduling (J R Daduna et al.)Subset Interconnection Designs: Generalizations of Spanning Trees and Steiner Trees (D-Z Du & P M Pardalos)Polynomial and Strongly Polynomial Algorithms for Convex Network Optimization (D S Hochbaum)Hamiltonian Circuits for 2-Regular Interconnection Networks (F K Hwang & W-C W Li)Equivalent Formulations for the Steiner Problem in Graphs (B N Khoury et al.)Minimum Concave-Cost Network Flow Problems with a Single Nonlinear Arc Cost (B Klinz & H Tuy)A Method for Solving Network Flow Problems with General Nonlinear Arc Costs (B W Lamar)Application of Global Line Search in Optimization of Networks (J Mockus)Solving Nonlinear Programs with Embedded Network Structures (M Ç Pinar & S A Zenios)On Algorithms for Nonlinear Dynamic Networks (W B Powell et al.)Strategic and Tactical Models and Algorithms for the Coal Industry Under the 1990 Clean Air Act (H D Sherali & Q J Saifee)Multi-Objective Routing in Stochastic Evacuation Networks (J M Smith)A Simplex Method for Network Programs with Convex Separable Piecewise Linear Costs and Its Application to Stochastic Transshipment Problems (J Sun et al.)A Bibliography on Network Flow Problems (M Veldhorst)Tabu Search: Applications and Prospects (S Voß)The Shortest Path Network and Its Applications in Bicriteria Shortest Path Problems (G-L Xue & S-Z Sun)A Network Formalism for Pure Exchange Economic Equilibria (L Zhao & A Nagurney)Steiner Problem in Multistage Computer Networks (S Bhattacharya & B Dasgupta) Readership: Applied mathematicians. keywords:“This volume reflects the wide spectrum of recent research activities in the design and analysis of algorithms and the applications of networks.”Journal of Global Optimization

Author : Dimitri P. Bertsekas
Publisher : MIT Press
Page : 384 pages
File Size : 50,6 Mb
Release : 1991
Category : Business & Economics
ISBN : 0262023342

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Linear Network Optimization by Dimitri P. Bertsekas Pdf

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.

Author : Dimitri Bertsekas
Publisher : Athena Scientific
Page : 256 pages
File Size : 52,6 Mb
Release : 2009-06-01
Category : Mathematics
ISBN : 9781886529311

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Convex Optimization Theory by Dimitri Bertsekas Pdf

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).

Author : V. Balakrishnan
Publisher : CRC Press
Page : 260 pages
File Size : 45,8 Mb
Release : 2019-08-16
Category : Mathematics
ISBN : 9781000723083

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Network Optimization by V. Balakrishnan Pdf

Problems in network optimization arise in all areas of technology and industrial management. The topic of network flows has applications in diverse fields such as chemistry, engineering, management science, scheduling and transportation, to name a few. Network Optimization introduces the subject to undergraduate and graduate students in computer science, mathematics and operations research. The focus is mainly on developing the mathematical underpinnings of the techniques that make it possible to solve the several optimization problems covered in the text. The text discusses such topics as optimal branching problems, transshipment problems, shortest path problems, minimum cost flow problems, maximum flow problems, matching in bipartite and nonbipartite graphs and many applications to combinatorics. Also included is a large number of exercises.

Author : Jannik Matuschke
Publisher : Jannik Matuschke
Page : 172 pages
File Size : 55,6 Mb
Release : 2014
Category : Electronic
ISBN : 8210379456XXX

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Network flows and network design in theory and practice by Jannik Matuschke Pdf

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.

Author : Panos M. Pardalos,Donald W. Hearn,William W. Hager
Publisher : Springer Science & Business Media
Page : 495 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642591792

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Network Optimization by Panos M. Pardalos,Donald W. Hearn,William W. Hager Pdf

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.

Author : Dan Sha,C. K. Wong
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 54,9 Mb
Release : 2007-05-05
Category : Computers
ISBN : 9780387712154

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Time-Varying Network Optimization by Dan Sha,C. K. Wong Pdf

This text describes a series of models, propositions, and algorithms developed in recent years on time-varying networks. References and discussions on relevant problems and studies that have appeared in the literature are integrated in the book. Its eight chapters consider problems including the shortest path problem, the minimum-spanning tree problem, the maximum flow problem, and many more. The time-varying traveling salesman problem and the Chinese postman problem are presented in a chapter together with the time-varying generalized problem. While these topics are examined within the framework of time-varying networks, each chapter is self-contained so that each can be read – and used – separately.

Author : Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali
Publisher : Unknown
Page : 706 pages
File Size : 46,5 Mb
Release : 1990
Category : Computers
ISBN : UOM:39015048315587

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Linear Programming and Network Flows by Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali Pdf

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Author : M. S. Bazaraa,John d. J. Jarvhiss,Hanif D. Sherali
Publisher : Unknown
Page : 684 pages
File Size : 46,6 Mb
Release : 2003
Category : Linear programming
ISBN : 981253041X

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Linear Programming & Network Flows by M. S. Bazaraa,John d. J. Jarvhiss,Hanif D. Sherali Pdf

Author : Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali
Publisher : John Wiley & Sons
Page : 764 pages
File Size : 47,5 Mb
Release : 2011-08-10
Category : Mathematics
ISBN : 9780471703761

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Linear Programming and Network Flows by Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali Pdf

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.

Author : Dimitri Bertsekas
Publisher : Athena Scientific
Page : 576 pages
File Size : 55,9 Mb
Release : 2015-02-01
Category : Mathematics
ISBN : 9781886529281

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Convex Optimization Algorithms by Dimitri Bertsekas Pdf

This book provides a comprehensive and accessible presentation of algorithms for solving convex optimization problems. It relies on rigorous mathematical analysis, but also aims at an intuitive exposition that makes use of visualization where possible. This is facilitated by the extensive use of analytical and algorithmic concepts of duality, which by nature lend themselves to geometrical interpretation. The book places particular emphasis on modern developments, and their widespread applications in fields such as large-scale resource allocation problems, signal processing, and machine learning. The book is aimed at students, researchers, and practitioners, roughly at the first year graduate level. It is similar in style to the author's 2009"Convex Optimization Theory" book, but can be read independently. The latter book focuses on convexity theory and optimization duality, while the present book focuses on algorithmic issues. The two books share notation, and together cover the entire finite-dimensional convex optimization methodology. To facilitate readability, the statements of definitions and results of the "theory book" are reproduced without proofs in Appendix B.

Author : Jong-Shi Pang
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461551973

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Computational Optimization by Jong-Shi Pang Pdf

Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarity-constrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B- stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations.