Combinatorial Optimization

Algorithms and Complexity

Author: Christos H. Papadimitriou,Kenneth Steiglitz

Publisher: Courier Corporation

ISBN: 0486320138

Category: Mathematics

Page: 528

View: 8600

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.

Kombinatorische Optimierung

Theorie und Algorithmen

Author: Bernhard Korte,Jens Vygen

Publisher: Springer-Verlag

ISBN: 3540769196

Category: Mathematics

Page: 675

View: 2221

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.

Combinatorial Optimization

Networks and Matroids

Author: Eugene Lawler

Publisher: Courier Corporation

ISBN: 048614366X

Category: Mathematics

Page: 400

View: 6391

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: 8023

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.

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: 369

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.

Solving Combinatorial Optimization Problems in Parallel

Methods and Techniques

Author: Alfonso Ferreira

Publisher: Boom Koninklijke Uitgevers

ISBN: 9783540610434

Category: Business & Economics

Page: 274

View: 9502

Solving combinatorial optimization problems can often lead to runtime growing exponentially as a function of the input size. But important real-world problems, industrial applications, and academic research challenges, may demand exact optimal solutions. In such situations, parallel processing can reduce the runtime from days or months, typical when one workstation is used, to a few minutes or even seconds. Partners of the CEC-sponsored SCOOP Project (Solving Combinatorial Optimization Problems in Parallel) contributed, on invitation, to this book; much attention was paid to competent coverage of the topic and the style of writing. Readers will include students, scientists, engineers, and professionals interested in the design and implementation of parallel algorithms for solving combinatorial optimization problems.

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: 3820

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.

Concepts of Combinatorial Optimization

Author: Vangelis Th. Paschos

Publisher: John Wiley & Sons

ISBN: 1119015073

Category: Mathematics

Page: 416

View: 6339

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.

Surveys in Combinatorial Optimization

Author: S. Martello,M. Minoux,C. Ribeiro,Gilbert Laporte

Publisher: Elsevier

ISBN: 9780080872438

Category: Mathematics

Page: 383

View: 1182

A collection of papers surveying recent progress in the field of Combinatorial Optimization. Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).

Handbook of Combinatorial Optimization


Author: Ding-Zhu Du,Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 9780792359241

Category: Computers

Page: 648

View: 2943

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.

Parallel Combinatorial Optimization

Author: El-Ghazali Talbi

Publisher: John Wiley & Sons

ISBN: 0470053917

Category: Computers

Page: 363

View: 685

This text provides an excellent balance of theory and application that enables you to deploy powerful algorithms, frameworks, and methodologies to solve complex optimization problems in a diverse range of industries. Each chapter is written by leading experts in the fields of parallel and distributed optimization. Collectively, the contributions serve as a complete reference to the field of combinatorial optimization, including details and findings of recent and ongoing investigations.

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: 6531

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:

Evolutionary Computation in Combinatorial Optimization

9th European Conference, EvoCOP 2009, Tübingen, Germany, April 15-17, 2009, Proceedings

Author: Carlos Cotta,Peter I. Cowling

Publisher: Springer Science & Business Media

ISBN: 3642010083

Category: Computers

Page: 253

View: 5544

Constitutes the refereed proceedings of the 9th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2009, held in Tubingen, Germany, in April 2009. This work contains papers that discuss developments and applications in metaheuristics.

Combinatorial Optimization and Applications

Third International Conference, COCOA 2009, Huangshan, China, June 10-12, 2009, Proceedings

Author: Ding-Zhu Du,Xiaodong Hu,Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 3642020259

Category: Computers

Page: 542

View: 5658

TheThirdAnnualInternationalConferenceonCombinatorialOptimizationand Applications, COCOA2009, tookplace in Huangshan, China, June 10 12,2009. Past COCOA conferences were held in Xi an, China (2007) and Newfoundland, Canada (2008). COCOA2009providedaforumforresearchersworkingintheareasofcom- natorial optimization and its applications. In addition to theoretical results, the conference is particularly focused on recent works on experimental and applied research of general algorithmic interest. The Program Committee received 103 submissions from 17 countries and regions: Brazil, Canada, China, Denmark, France, Germany, Hong Kong, India, Italy, Japan, Korea, Malaysia, Poland, Switzerland, Taiwan, UK, and USA. Among the 103 submissions, 50 papers were selected for presentation at the conference and are included in this volume. Some of these will be selected for publicationinaspecialissueofJournalof Combinatorial Optimization, aspecial issue of Theoretical Computer Science, and a special issue of Discrete Mat- matics, Algorithms and Applications under the standard refereeing procedure. In addition to the selected papers, the conference also included one invited p- sentation by Panos M. Pardalos (University of Florida, USA). We thank the authors for submitting their papers to the conference. We are grateful to the members of the Program Committee and the external referees for their work within demanding time constraints. We thank the Organizing Committee for their contribution to make the conference a success. We also thank Donghyun Kim for helping us create and update the conference website and maintain the Springer Online Conference Service system."

Approximation Algorithms for Combinatorial Optimization

5th International Workshop, APPROX 2002, Rome, Italy, September 17-21, 2002. Proceedings

Author: Klaus Jansen,Stefano Leonardi

Publisher: Springer Science & Business Media

ISBN: 3540441867

Category: Business & Economics

Page: 269

View: 1504

This book constitutes the refereed proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2002, held in Rome, Italy in September 2002. The 20 revised full papers presented were carefully reviewed and selected from 54 submissions. Among the topics addressed are design and analysis of approximation algorithms, inapproximability results, online problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and applications to game theory and other fields.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

11th International Workshop, APPROX 2008 and 12th International Workshop, RANDOM 2008, Boston, MA, USA, August 25-27, 2008

Author: Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld

Publisher: Springer Science & Business Media

ISBN: 3540853626

Category: Computers

Page: 604

View: 3787

This book constitutes the joint refereed proceedings of the 11th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2008 and the 12th International Workshop on Randomization and Computation, RANDOM 2008, held in Boston, MA, USA, in August 2008. The 20 revised full papers of the APPROX 2008 workshop were carefully reviewed and selected from 42 submissions and focus on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM 2008 is concerned with applications of randomness to computational and combinatorial problems and accounts for 27 revised full papers, also diligently reviewed and selected out of 52 workshop submissions.

Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques

Third International Workshop on Randomization and Approximation Techniques in Computer Science, and Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems RANDOM-APPROX'99,Berkeley, CA, USA, August 8-11, 1999 Pro

Author: Dorit Hochbaum,Klaus Jansen,Jose D.P. Rolim,Alistair Sinclair

Publisher: Springer Science & Business Media

ISBN: 9783540663294

Category: Computers

Page: 298

View: 2451

This book constitutes the refereed proceedings of the Third International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'99, held jointly with the Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX'99, in Berkeley, California in August 1999. The volume presents 24 revised full papers selected from 44 submissions and four invited contributions. The papers present a wealth of new results and document the state-of-the-art in the areas covered by the workshop.

Evolutionary Computation in Combinatorial Optimization

10th European Conference, EvoCOP 2010, Istanbul, Turkey, April 7-9, 2010, Proceedings

Author: Peter I. Cowling,Peter Merz

Publisher: Springer Science & Business Media

ISBN: 3642121381

Category: Computers

Page: 290

View: 7300

Constitutes the refereed proceedings of the 10th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2010, held in Instanbul, Turkey, in April 2010. This book discusses developments and applications in metaheuristics.

Combinatorial Optimization and Applications

Second International Conference, COCOA 2008, St. John's, NL, Canada, August 21-24, 2008, Proceedings

Author: Boting Yang,Ding-Zhu Du

Publisher: Springer Science & Business Media

ISBN: 3540850961

Category: Computers

Page: 480

View: 2087

This book constitutes the refereed proceedings of the Second International Conference on Combinatorial Optimization and Applications, COCOA 2008, held in St. John's, Canada, in August 2008. The 44 revised full papers were carefully reviewed and selected from 84 submissions. The papers feature original research in the areas of combinatorial optimization -- both theoretical issues and and applications motivated by real-world problems thus showing convincingly the usefulness and efficiency of the algorithms discussed in a practical setting.

A First Course in Combinatorial Optimization

Author: Jon Lee

Publisher: Cambridge University Press

ISBN: 9780521010122

Category: Business & Economics

Page: 211

View: 4359

A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.