A First Course In Combinatorial Optimization

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A First Course in Combinatorial Optimization

Author : Jon Lee
Publisher : Cambridge University Press
Page : 232 pages
File Size : 41,7 Mb
Release : 2004-02-09
Category : Business & Economics
ISBN : 0521010128

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A First Course in Combinatorial Optimization by Jon Lee Pdf

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.

Combinatorial Optimization

Author : A. Subramanian
Publisher : Alpha Science International Limited
Page : 172 pages
File Size : 51,7 Mb
Release : 2006-04-01
Category : Technology & Engineering
ISBN : 1842652044

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Combinatorial Optimization by A. Subramanian Pdf

'Combinatorial Optimization' is designed for a one term introductory graduate-level course for students of operations research, mathematics & computer science. In a self-contained treatment requiring only some mathematical maturity, the topics covered include: linear & integer programming, polytopes, & network flows.

Combinatorial Optimization

Author : Christos H. Papadimitriou,Kenneth Steiglitz
Publisher : Courier Corporation
Page : 528 pages
File Size : 55,6 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486320137

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Combinatorial Optimization by Christos H. Papadimitriou,Kenneth Steiglitz Pdf

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

Author : Bernhard Korte,Jens Vygen
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 47,6 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.

Combinatorial Optimization

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
Page : 2024 pages
File Size : 53,9 Mb
Release : 2003-02-12
Category : Business & Economics
ISBN : 3540443894

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Combinatorial Optimization by Alexander Schrijver Pdf

From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Combinatorial Optimization

Author : Eugene Lawler
Publisher : Courier Corporation
Page : 400 pages
File Size : 40,6 Mb
Release : 2012-10-16
Category : Mathematics
ISBN : 9780486143668

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Combinatorial Optimization by Eugene Lawler Pdf

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.

A First Course in Operations Research

Author : Giuseppe Lancia
Publisher : Unknown
Page : 133 pages
File Size : 49,6 Mb
Release : 2019-09-27
Category : Electronic
ISBN : 1696078369

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A First Course in Operations Research by Giuseppe Lancia Pdf

The book is intended for a first course on Operations Research at the Graduate Level for students of computer science, engineering or scientific disciplines in general. The book is based on the lecture notes of the course taught at the University of Udine to master students in CS. A good part of the text is devoted to formulating mathematical models for combinatorial optimization problems, by stating them as integer linear programs. The theory of Linear Programming and Integer Programming is desribed at an introductory level. The secon part of the course deals with optimization problems on graphs, such as minimum spanning trees, shortest paths and maximum flows. The book contains appendices on Graph Theory, Computational Complexity and Linear Algebra.

CATBox

Author : Winfried Hochstättler,Alexander Schliep
Publisher : Springer Science & Business Media
Page : 190 pages
File Size : 50,8 Mb
Release : 2010-03-16
Category : Mathematics
ISBN : 9783642038228

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CATBox by Winfried Hochstättler,Alexander Schliep Pdf

Graph algorithms are easy to visualize and indeed there already exists a variety of packages to animate the dynamics when solving problems from graph theory. Still it can be difficult to understand the ideas behind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. In the course book, intended for readers at advanced undergraduate or graduate level, computer exercises and examples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows, weighted and unweighted matchings both for bipartite and non-bipartite graphs. Find more information at http://schliep.org/CATBox/.

Integer and Combinatorial Optimization

Author : Laurence A. Wolsey,George L. Nemhauser
Publisher : John Wiley & Sons
Page : 782 pages
File Size : 47,7 Mb
Release : 2014-08-28
Category : Mathematics
ISBN : 9781118626863

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Integer and Combinatorial Optimization by Laurence A. Wolsey,George L. Nemhauser Pdf

Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima "A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews "This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society "This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London Also of interest . . . INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp.

Introduction to Combinatorial Optimization

Author : Ding-Zhu Du,Panos M. Pardalos,Xiaodong Hu,Weili Wu
Publisher : Springer Nature
Page : 407 pages
File Size : 47,6 Mb
Release : 2022-09-26
Category : Mathematics
ISBN : 9783031105968

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Introduction to Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos,Xiaodong Hu,Weili Wu Pdf

Introductory courses in combinatorial optimization are popular at the upper undergraduate/graduate levels in computer science, industrial engineering, and business management/OR, owed to its wide applications in these fields. There are several published textbooks that treat this course and the authors have used many of them in their own teaching experiences. This present text fills a gap and is organized with a stress on methodology and relevant content, providing a step-by-step approach for the student to become proficient in solving combinatorial optimization problems. Applications and problems are considered via recent technology developments including wireless communication, cloud computing, social networks, and machine learning, to name several, and the reader is led to the frontiers of combinatorial optimization. Each chapter presents common problems, such as minimum spanning tree, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, such as greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst the gems of this textbook.

Bioinspired Computation in Combinatorial Optimization

Author : Frank Neumann,Carsten Witt
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 40,6 Mb
Release : 2010-11-04
Category : Mathematics
ISBN : 9783642165443

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Bioinspired Computation in Combinatorial Optimization by Frank Neumann,Carsten Witt Pdf

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.

Graphs, Networks and Algorithms

Author : Dieter Jungnickel
Publisher : Springer Science & Business Media
Page : 597 pages
File Size : 50,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662038222

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Graphs, Networks and Algorithms by Dieter Jungnickel Pdf

Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed

Differential Evolution: A Handbook for Global Permutation-Based Combinatorial Optimization

Author : Godfrey C. Onwubolu,Donald Davendra
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 55,6 Mb
Release : 2009-01-13
Category : Computers
ISBN : 9783540921509

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Differential Evolution: A Handbook for Global Permutation-Based Combinatorial Optimization by Godfrey C. Onwubolu,Donald Davendra Pdf

This is the first book devoted entirely to Differential Evolution (DE) for global permutative-based combinatorial optimization. Since its original development, DE has mainly been applied to solving problems characterized by continuous parameters. This means that only a subset of real-world problems could be solved by the original, classical DE algorithm. This book presents in detail the various permutative-based combinatorial DE formulations by their initiators in an easy-to-follow manner, through extensive illustrations and computer code. It is a valuable resource for professionals and students interested in DE in order to have full potentials of DE at their disposal as a proven optimizer. All source programs in C and Mathematica programming languages are downloadable from the website of Springer.

Iterative Methods in Combinatorial Optimization

Author : Lap Chi Lau,R. Ravi,Mohit Singh
Publisher : Cambridge University Press
Page : 255 pages
File Size : 49,8 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.

A First Course in Optimization

Author : Charles Byrne
Publisher : CRC Press
Page : 313 pages
File Size : 48,8 Mb
Release : 2014-08-11
Category : Business & Economics
ISBN : 9781482226584

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A First Course in Optimization by Charles Byrne Pdf

Give Your Students the Proper Groundwork for Future Studies in OptimizationA First Course in Optimization is designed for a one-semester course in optimization taken by advanced undergraduate and beginning graduate students in the mathematical sciences and engineering. It teaches students the basics of continuous optimization and helps them better