The Design Of Approximation Algorithms

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The Design of Approximation Algorithms

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 517 pages
File Size : 41,9 Mb
Release : 2011-04-26
Category : Computers
ISBN : 9781139498173

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The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses, it will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

The Design of Approximation Algorithms

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 518 pages
File Size : 51,8 Mb
Release : 2011-04-26
Category : Computers
ISBN : 0521195276

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The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

The Design of Approximation Algorithms

Author : David P. Williamson
Publisher : Unknown
Page : 504 pages
File Size : 44,9 Mb
Release : 2011
Category : Approximation theory
ISBN : 1107214513

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The Design of Approximation Algorithms by David P. Williamson Pdf

"Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems"--

Design and Analysis of Approximation Algorithms

Author : Ding-Zhu Du,Ker-I Ko,Xiaodong Hu
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 48,9 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461417019

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Design and Analysis of Approximation Algorithms by Ding-Zhu Du,Ker-I Ko,Xiaodong Hu Pdf

This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.

Approximation Algorithms

Author : Vijay V. Vazirani
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 44,6 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662045657

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Approximation Algorithms by Vijay V. Vazirani Pdf

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Geometric Approximation Algorithms

Author : Sariel Har-Peled
Publisher : American Mathematical Soc.
Page : 378 pages
File Size : 46,7 Mb
Release : 2011
Category : Approximation algorithms
ISBN : 9780821849118

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Geometric Approximation Algorithms by Sariel Har-Peled Pdf

Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas.

Complexity and Approximation

Author : Giorgio Ausiello,Pierluigi Crescenzi,Giorgio Gambosi,Viggo Kann,Alberto Marchetti-Spaccamela,Marco Protasi
Publisher : Springer Science & Business Media
Page : 536 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642584121

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Complexity and Approximation by Giorgio Ausiello,Pierluigi Crescenzi,Giorgio Gambosi,Viggo Kann,Alberto Marchetti-Spaccamela,Marco Protasi Pdf

This book documents the state of the art in combinatorial optimization, presenting approximate solutions of virtually all relevant classes of NP-hard optimization problems. The wealth of problems, algorithms, results, and techniques make it an indispensible source of reference for professionals. The text smoothly integrates numerous illustrations, examples, and exercises.

The Design of Approximation Algorithms

Author : David P. Williamson
Publisher : Unknown
Page : 504 pages
File Size : 53,8 Mb
Release : 2011
Category : Approximation theory
ISBN : 1139075497

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The Design of Approximation Algorithms by David P. Williamson Pdf

"Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems"--

Handbook of Approximation Algorithms and Metaheuristics

Author : Teofilo F. Gonzalez
Publisher : CRC Press
Page : 840 pages
File Size : 46,7 Mb
Release : 2018-05-15
Category : Computers
ISBN : 9781351236409

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Handbook of Approximation Algorithms and Metaheuristics by Teofilo F. Gonzalez Pdf

Handbook of Approximation Algorithms and Metaheuristics, Second Edition reflects the tremendous growth in the field, over the past two decades. Through contributions from leading experts, this handbook provides a comprehensive introduction to the underlying theory and methodologies, as well as the various applications of approximation algorithms and metaheuristics. Volume 1 of this two-volume set deals primarily with methodologies and traditional applications. It includes restriction, relaxation, local ratio, approximation schemes, randomization, tabu search, evolutionary computation, local search, neural networks, and other metaheuristics. It also explores multi-objective optimization, reoptimization, sensitivity analysis, and stability. Traditional applications covered include: bin packing, multi-dimensional packing, Steiner trees, traveling salesperson, scheduling, and related problems. Volume 2 focuses on the contemporary and emerging applications of methodologies to problems in combinatorial optimization, computational geometry and graphs problems, as well as in large-scale and emerging application areas. It includes approximation algorithms and heuristics for clustering, networks (sensor and wireless), communication, bioinformatics search, streams, virtual communities, and more. About the Editor Teofilo F. Gonzalez is a professor emeritus of computer science at the University of California, Santa Barbara. He completed his Ph.D. in 1975 from the University of Minnesota. He taught at the University of Oklahoma, the Pennsylvania State University, and the University of Texas at Dallas, before joining the UCSB computer science faculty in 1984. He spent sabbatical leaves at the Monterrey Institute of Technology and Higher Education and Utrecht University. He is known for his highly cited pioneering research in the hardness of approximation; for his sublinear and best possible approximation algorithm for k-tMM clustering; for introducing the open-shop scheduling problem as well as algorithms for its solution that have found applications in numerous research areas; as well as for his research on problems in the areas of job scheduling, graph algorithms, computational geometry, message communication, wire routing, etc.

Approximation Algorithms for NP-hard Problems

Author : Dorit S. Hochbaum
Publisher : Course Technology
Page : 632 pages
File Size : 49,6 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015058079271

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Approximation Algorithms for NP-hard Problems by Dorit S. Hochbaum Pdf

This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. With chapters contributed by leading researchers in the field, this book introduces unifying techniques in the analysis of approximation algorithms. APPROXIMATION ALGORITHMS FOR NP-HARD PROBLEMS is intended for computer scientists and operations researchers interested in specific algorithm implementations, as well as design tools for algorithms. Among the techniques discussed: the use of linear programming, primal-dual techniques in worst-case analysis, semidefinite programming, computational geometry techniques, randomized algorithms, average-case analysis, probabilistically checkable proofs and inapproximability, and the Markov Chain Monte Carlo method. The text includes a variety of pedagogical features: definitions, exercises, open problems, glossary of problems, index, and notes on how best to use the book.

Design and Analysis of Algorithms

Author : Sandeep Sen,Amit Kumar
Publisher : Cambridge University Press
Page : 395 pages
File Size : 44,9 Mb
Release : 2019-05-23
Category : Computers
ISBN : 9781108496827

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Design and Analysis of Algorithms by Sandeep Sen,Amit Kumar Pdf

Focuses on the interplay between algorithm design and the underlying computational models.

The Design of Competitive Online Algorithms Via a Primal-Dual Approach

Author : Niv Buchbinder,Joseph Naor
Publisher : Now Publishers Inc
Page : 190 pages
File Size : 40,6 Mb
Release : 2009
Category : Computers
ISBN : 9781601982162

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The Design of Competitive Online Algorithms Via a Primal-Dual Approach by Niv Buchbinder,Joseph Naor Pdf

Extends the primal-dual method to the setting of online algorithms, and shows its applicability to a wide variety of fundamental problems.

Approximation and Online Algorithms

Author : Jochen Koenemann,Britta Peis
Publisher : Springer Nature
Page : 286 pages
File Size : 40,5 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030927028

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Approximation and Online Algorithms by Jochen Koenemann,Britta Peis Pdf

This book constitutes the thoroughly refereed workshop post-proceedings of the 19th International Workshop on Approximation and Online Algorithms, WAOA 2021, held in September 2021. Due to COVID-19 pandemic the conference was held virtually. The 16 revised full papers presented in this book were carefully reviewed and selected from 31 submissions. The papers focus on the design and analysis of algorithms for online and computationally hard problems.

Approximation and Optimization

Author : Ioannis C. Demetriou,Panos M. Pardalos
Publisher : Springer
Page : 237 pages
File Size : 54,6 Mb
Release : 2019-05-10
Category : Mathematics
ISBN : 9783030127671

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Approximation and Optimization by Ioannis C. Demetriou,Panos M. Pardalos Pdf

This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Integer Programming and Combinatorial Optimization

Author : Gerard Cornuejols,Rainer E. Burkard,Gerhard J. Woeginger
Publisher : Springer
Page : 462 pages
File Size : 46,5 Mb
Release : 2007-03-05
Category : Mathematics
ISBN : 9783540487777

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Integer Programming and Combinatorial Optimization by Gerard Cornuejols,Rainer E. Burkard,Gerhard J. Woeginger Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Integer Programming and Combinatorial Optimization, IPCO'99, held in Graz, Austria, in June 1999. The 33 revised full papers presented were carefully reviewed and selected from a total of 99 submissions. Among the topics addressed are theoretical, computational, and application-oriented aspects of approximation algorithms, branch and bound algorithms, computational biology, computational complexity, computational geometry, cutting plane algorithms, diaphantine equations, geometry of numbers, graph and network algorithms, online algorithms, polyhedral combinatorics, scheduling, and semidefinite programs.