Iterative Methods In Combinatorial Optimization

Author : Lap Chi Lau,R. Ravi,Mohit Singh
Publisher : Cambridge University Press
Page : 255 pages
File Size : 47,8 Mb
Release : 2011-04-18
Category : Computers
ISBN : 9781139499392

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Iterative Methods in Combinatorial Optimization by Lap Chi Lau,R. Ravi,Mohit Singh Pdf

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 41,5 Mb
Release : 1999-10-31
Category : Business & Economics
ISBN : 0792359240

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Handbook of Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos Pdf

This volume can be considered as a supplementary volume to the major three-volume Handbook of Combinatorial Optimization published by Kluwer. It can also be regarded as a stand-alone volume which presents chapters dealing with various aspects of the subject including optimization problems and algorithmic approaches for discrete problems. Audience: All those who use combinatorial optimization methods to model and solve problems.

Author : Josep Diaz
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 40,9 Mb
Release : 2006-08-11
Category : Computers
ISBN : 9783540380443

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Josep Diaz Pdf

This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.

Author : C. T. Kelley
Publisher : SIAM
Page : 195 pages
File Size : 45,9 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 161197092X

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Iterative Methods for Optimization by C. T. Kelley Pdf

This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.

Author : Josep Diaz,Klaus Jansen,José D.P. Rolim,Uri Zwick
Publisher : Springer
Page : 522 pages
File Size : 40,8 Mb
Release : 2006-08-29
Category : Computers
ISBN : 9783540380450

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Josep Diaz,Klaus Jansen,José D.P. Rolim,Uri Zwick Pdf

This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.

Author : Rafael Martí,Gerhard Reinelt
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 52,5 Mb
Release : 2011-01-03
Category : Computers
ISBN : 9783642167294

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The Linear Ordering Problem by Rafael Martí,Gerhard Reinelt Pdf

Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.

Author : Irit Dinur,Klaus Jansen,Seffi Naor,José Rolim
Publisher : Springer Science & Business Media
Page : 750 pages
File Size : 42,9 Mb
Release : 2009-08-06
Category : Computers
ISBN : 9783642036842

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Irit Dinur,Klaus Jansen,Seffi Naor,José Rolim Pdf

This book constitutes the joint refereed proceedings of the 12th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2009, and the 13th International Workshop on Randomization and Computation, RANDOM 2009, held in Berkeley, CA, USA, in August 2009. The 25 revised full papers of the APPROX 2009 workshop and the 28 revised full papers of the RANDOM 2009 workshop included in this volume, were carefully reviewed and selected from 56 and 58 submissions, respectively. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Author : Michel Goemans,Klaus Jansen,Jose D.P. Rolim,Luca Trevisan
Publisher : Springer
Page : 296 pages
File Size : 48,5 Mb
Release : 2003-05-15
Category : Mathematics
ISBN : 9783540446668

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Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques by Michel Goemans,Klaus Jansen,Jose D.P. Rolim,Luca Trevisan Pdf

This book constitutes the joint refereed proceedings of the 4th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2001 and of the 5th International Workshop on Ranomization and Approximation Techniques in Computer Science, RANDOM 2001, held in Berkeley, California, USA in August 2001. The 26 revised full papers presented were carefully reviewed and selected from a total of 54 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, on-line problems, randomization, de-randomization, average-case analysis, approximation classes, randomized complexity theory, scheduling, routing, coloring, partitioning, packing, covering, computational geometry, network design, and applications in various fields.

Author : Bernhard Korte,Jens Vygen
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 43,5 Mb
Release : 2006-01-27
Category : Mathematics
ISBN : 9783540292975

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Combinatorial Optimization by Bernhard Korte,Jens Vygen Pdf

This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

Author : Reuven Y. Rubinstein,Dirk P. Kroese
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 44,5 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9781475743210

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The Cross-Entropy Method by Reuven Y. Rubinstein,Dirk P. Kroese Pdf

Rubinstein is the pioneer of the well-known score function and cross-entropy methods. Accessible to a broad audience of engineers, computer scientists, mathematicians, statisticians and in general anyone, theorist and practitioner, who is interested in smart simulation, fast optimization, learning algorithms, and image processing.

Author : Ding-Zhu Du,Panos M. Pardalos,Zhao Zhang
Publisher : Springer
Page : 315 pages
File Size : 52,7 Mb
Release : 2019-05-31
Category : Mathematics
ISBN : 9783030161941

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Nonlinear Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos,Zhao Zhang Pdf

Graduate students and researchers in applied mathematics, optimization, engineering, computer science, and management science will find this book a useful reference which provides an introduction to applications and fundamental theories in nonlinear combinatorial optimization. Nonlinear combinatorial optimization is a new research area within combinatorial optimization and includes numerous applications to technological developments, such as wireless communication, cloud computing, data science, and social networks. Theoretical developments including discrete Newton methods, primal-dual methods with convex relaxation, submodular optimization, discrete DC program, along with several applications are discussed and explored in this book through articles by leading experts.

Author : Samuel L. S. Jacoby,Janusz S. Kowalik,J. T. Pizzo
Publisher : Prentice Hall
Page : 294 pages
File Size : 48,9 Mb
Release : 1972
Category : Mathematics
ISBN : UOM:39015000510977

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Iterative Methods for Nonlinear Optimization Problems by Samuel L. S. Jacoby,Janusz S. Kowalik,J. T. Pizzo Pdf

Author : Leslie Ann Goldberg,Klaus Jansen,R. Ravi,José D.P. Rolim
Publisher : Springer Science & Business Media
Page : 715 pages
File Size : 47,8 Mb
Release : 2011-08-05
Category : Computers
ISBN : 9783642229343

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Leslie Ann Goldberg,Klaus Jansen,R. Ravi,José D.P. Rolim Pdf

This book constitutes the joint refereed proceedings of the 14th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2011, and the 15th International Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, USA, in August 2011. The volume presents 29 revised full papers of the APPROX 2011 workshop, selected from 66 submissions, and 29 revised full papers of the RANDOM 2011 workshop, selected from 64 submissions. They were carefully reviewed and selected for inclusion in the book. In addition two abstracts of invited talks are included. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Author : Dingzhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 808 pages
File Size : 50,8 Mb
Release : 1998
Category : Mathematics
ISBN : 0792350189

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Handbook of combinatorial optimization. 1 by Dingzhu Du,Panos M. Pardalos Pdf

The first of a multi-volume set, which deals with several algorithmic approaches for discrete problems as well as many combinatorial problems. It is addressed to researchers in discrete optimization, and to all scientists who use combinatorial optimization methods to model and solve problems.

Author : Sanjeev Arora
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 49,8 Mb
Release : 2003-08-13
Category : Computers
ISBN : 9783540407706

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Sanjeev Arora Pdf

This book constitutes the joint refereed proceedings of the 6th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2003 and of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2003, held in Princeton, NY, USA in August 2003. The 33 revised full papers presented were carefully reviewed and selected from 74 submissions. Among the issues addressed are design and analysis of randomized and approximation algorithms, online algorithms, complexity theory, combinatorial structures, error-correcting codes, pseudorandomness, derandomization, network algorithms, random walks, Markov chains, probabilistic proof systems, computational learning, randomness in cryptography, and various applications.