Combinatorial Optimization

Author: William J. Cook,William H. Cunningham,William R. Pulleyblank,Alexander Schrijver

Publisher: John Wiley & Sons

ISBN: 1118031393

Category: Mathematics

Page: 368

View: 2890

A complete, highly accessible introduction to one of today's mostexciting areas of applied mathematics One of the youngest, most vital areas of applied mathematics,combinatorial optimization integrates techniques fromcombinatorics, linear programming, and the theory of algorithms.Because of its success in solving difficult problems in areas fromtelecommunications to VLSI, from product distribution to airlinecrew scheduling, the field has seen a ground swell of activity overthe past decade. Combinatorial Optimization is an ideal introduction to thismathematical discipline for advanced undergraduates and graduatestudents of discrete mathematics, computer science, and operationsresearch. Written by a team of recognized experts, the text offersa thorough, highly accessible treatment of both classical conceptsand recent results. The topics include: * Network flow problems * Optimal matching * Integrality of polyhedra * Matroids * NP-completeness Featuring logical and consistent exposition, clear explanations ofbasic and advanced concepts, many real-world examples, and helpful,skill-building exercises, Combinatorial Optimization is certain tobecome the standard text in the field for many years to come.

Combinatorial Optimization

Algorithms and Complexity

Author: Christos H. Papadimitriou,Kenneth Steiglitz

Publisher: Courier Corporation

ISBN: 0486320138

Category: Mathematics

Page: 528

View: 8073

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Combinatorial Optimization

Networks and Matroids

Author: Eugene Lawler

Publisher: Courier Corporation

ISBN: 048614366X

Category: Mathematics

Page: 400

View: 4665

Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.

Combinatorial Optimization

Theory and Algorithms

Author: Bernhard Korte,Jens Vygen

Publisher: Springer Science & Business Media

ISBN: 3540718443

Category: Mathematics

Page: 627

View: 7973

Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete but concise proofs, also for many deep results, some of which have not appeared in print before. Recent topics are covered as well, and numerous references are provided. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.

Concepts of Combinatorial Optimization

Author: Vangelis Th. Paschos

Publisher: John Wiley & Sons

ISBN: 1118600231

Category: Mathematics

Page: 368

View: 7984

Combinatorial optimization is a multidisciplinary scientific area,lying in the interface of three major scientific domains:mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimizationseries aims to cover a wide range of topics in this area. Thesetopics also deal with fundamental notions and approaches as withseveral classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided intothree parts: On the complexity of combinatorial optimization problems, thatpresents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-knownmethods for solving hard combinatorial optimization problems, thatare Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presentsfundamentals from mathematical programming based methods that arein the heart of Operations Research since the origins of thisfield.

Combinatorial Optimization

Papers from the DIMACS Special Year

Author: William Cook,László Lovász,Paul D. Seymour

Publisher: American Mathematical Soc.

ISBN: 9780821870662

Category: Mathematics

Page: 441

View: 3930

This is a carefully refereed collection of invited survey articles written by outstanding researchers. Aimed at researchers in discrete mathematics, operations research, and the theory of computing, this book offers an in-depth look at many topics not treated in textbooks.

Evolutionary Computation in Combinatorial Optimization

12th European Conference, EvoCOP 2012, Málaga, Spain, April 11-13, 2012, Proceedings

Author: Jin-Kao Hao,Martin Middendorf

Publisher: Springer Science & Business Media

ISBN: 3642291236

Category: Computers

Page: 264

View: 6472

This book constitutes the refereed proceedings of the 12th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2012, held in Málaga, Spain, in April 2012, colocated with the Evo* 2012 events EuroGP, EvoBIO, EvoMUSART, and EvoApplications. . The 22 revised full papers presented were carefully reviewed and selected from 48 submissions. The papers present the latest research and discuss current developments and applications in metaheuristics - a paradigm to effectively solve difficult combinatorial optimization problems appearing in various industrial, economic, and scientific domains. Prominent examples of metaheuristics are evolutionary algorithms, simulated annealing, tabu search, scatter search, memetic algorithms, variable neighborhood search, iterated local search, greedy randomized adaptive search procedures, estimation of distribution algorithms, and ant colony optimization.

Combinatorial Optimization in Communication Networks

Author: Maggie Xiaoyan Cheng,Yingshu Li,Ding-Zhu Du

Publisher: Springer Science & Business Media

ISBN: 0387290265

Category: Computers

Page: 658

View: 3322

This book gives a comprehensive presentation of cutting-edge research in communication networks with a combinatorial optimization component. The objective of the book is to advance and promote the theory and applications of combinatorial optimization in communication networks. Each chapter is written by an expert dealing with theoretical, computational, or applied aspects of combinatorial optimization.

Applications of Combinatorial Optimization

Author: Vangelis Th. Paschos

Publisher: John Wiley & Sons

ISBN: 1119015243

Category: Mathematics

Page: 448

View: 6522

Combinatorial optimization is a multidisciplinary scientific area,lying in the interface of three major scientific domains:mathematics, theoretical computer science and management. Thethree volumes of the Combinatorial Optimization series aim to covera wide range of topics in this area. These topics also dealwith fundamental notions and approaches as with several classicalapplications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided intothree parts: - On the complexity of combinatorial optimization problems,presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methodsfor solving hard combinatorial optimization problems, that areBranch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentalsfrom mathematical programming based methods that are in the heartof Operations Research since the origins of this field.

Handbook of Combinatorial Optimization

Supplement

Author: Ding-Zhu Du,Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 9780792359241

Category: Computers

Page: 648

View: 3822

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.

Combinatorial Optimization

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Como, Italy, August 25 - September 2, 1986

Author: Bruno Simeone

Publisher: Springer

ISBN: 3540468102

Category: Business & Economics

Page: 320

View: 9321

The C.I.M.E. Summer School at Como in 1986 was the first in that series on the subject of combinatorial optimization. Situated between combinatorics, computer science and operations research, the subject draws on a variety of mathematical methods to deal with problems motivated by real-life applications. Recent research has focussed on the connections to theoretical computer science, in particular to computational complexity and algorithmic issues. The Summer School's activity centered on the 4 main lecture courses, the notes of which are included in this volume:

Recent Advances in Evolutionary Computation for Combinatorial Optimization

Author: Carlos Cotta,Jano van Hemert

Publisher: Springer Science & Business Media

ISBN: 3540708065

Category: Business & Economics

Page: 336

View: 5415

This cutting-edge volume presents recent advances in the area of metaheuristic combinatorial optimisation, with a special focus on evolutionary computation methods. Moreover, it addresses local search methods and hybrid approaches.

Integer Programming and Combinatorial Optimization

7th International IPCO Conference, Graz, Austria, June 9-11, 1999, Proceedings

Author: Gerard Cornuejols,Rainer E. Burkard

Publisher: Springer Science & Business Media

ISBN: 3540660194

Category: Computers

Page: 452

View: 7726

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.

Bioinspired Computation in Combinatorial Optimization

Algorithms and Their Computational Complexity

Author: Frank Neumann,Carsten Witt

Publisher: Springer Science & Business Media

ISBN: 3642165443

Category: Mathematics

Page: 216

View: 3190

Bioinspired computation methods such as evolutionary algorithms and ant colony optimization are being applied successfully to complex engineering problems and to problems from combinatorial optimization, and with this comes the requirement to more fully understand the computational complexity of these search heuristics. This is the first textbook covering the most important results achieved in this area. The authors study the computational complexity of bioinspired computation and show how runtime behavior can be analyzed in a rigorous way using some of the best-known combinatorial optimization problems -- minimum spanning trees, shortest paths, maximum matching, covering and scheduling problems. A feature of the book is the separate treatment of single- and multiobjective problems, the latter a domain where the development of the underlying theory seems to be lagging practical successes. This book will be very valuable for teaching courses on bioinspired computation and combinatorial optimization. Researchers will also benefit as the presentation of the theory covers the most important developments in the field over the last 10 years. Finally, with a focus on well-studied combinatorial optimization problems rather than toy problems, the book will also be very valuable for practitioners in this field.

Kombinatorische Optimierung

Theorie und Algorithmen

Author: Bernhard Korte,Jens Vygen

Publisher: Springer-Verlag

ISBN: 3540769196

Category: Mathematics

Page: 675

View: 7299

Das Lehrbuch ist die deutsche Übersetzung der 4., wesentlich erweiterten Auflage des Titels „Combinatorial Optimization – Theory and Algorithms". Es gibt den neuesten Stand der kombinatorischen Optimierung wieder und liefert vornehmlich theoretische Resultate und Algorithmen mit beweisbar guten Laufzeiten und Ergebnissen, jedoch keine Heuristiken. Enthalten sind vollständige Beweise, auch für viele tiefe und neue Resultate, von denen einige bisher in der Lehrbuchliteratur noch nicht erschienen sind. Mit Übungen und umfassendem Literaturverzeichnis.

Probability Theory and Combinatorial Optimization

Author: J. Michael Steele

Publisher: SIAM

ISBN: 0898713803

Category: Mathematics

Page: 159

View: 7881

An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.