Integer And Combinatorial Optimization

Author : Laurence A. Wolsey,George L. Nemhauser
Publisher : John Wiley & Sons
Page : 782 pages
File Size : 53,9 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.

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 50,7 Mb
Release : 2020-10-20
Category : Mathematics
ISBN : 9781119606536

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Integer Programming by Laurence A. Wolsey Pdf

A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming explains in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems. The second edition also includes information on the remarkable progress in the development of mixed integer programming solvers in the 22 years since the first edition of the book appeared. The updated text includes information on the most recent developments in the field such as the much improved preprocessing/presolving and the many new ideas for primal heuristics included in the solvers. The result has been a speed-up of several orders of magnitude. The other major change reflected in the text is the widespread use of decomposition algorithms, in particular column generation (branch-(cut)-and-price) and Benders’ decomposition. The revised second edition: Contains new developments on column generation Offers a new chapter on Benders’ algorithm Includes expanded information on preprocessing, heuristics, and branch-and-cut Presents several basic and extended formulations, for example for fixed cost network flows Also touches on and briefly introduces topics such as non-bipartite matching, the complexity of extended formulations or a good linear program for the implementation of lift-and-project Written for students of integer/mathematical programming in operations research, mathematics, engineering, or computer science, Integer Programming offers an updated edition of the basic text that reflects the most recent developments in the field.

Author : J. MacGregor Smith
Publisher : Springer Nature
Page : 275 pages
File Size : 49,9 Mb
Release : 2021-10-17
Category : Mathematics
ISBN : 9783030758011

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Combinatorial, Linear, Integer and Nonlinear Optimization Apps by J. MacGregor Smith Pdf

This textbook provides an introduction to the use and understanding of optimization and modeling for upper-level undergraduate students in engineering and mathematics. The formulation of optimization problems is founded through concepts and techniques from operations research: Combinatorial Optimization, Linear Programming, and Integer and Nonlinear Programming (COLIN). Computer Science (CS) is also relevant and important given the applications of algorithms and Apps/algorithms (A) in solving optimization problems. Each chapter provides an overview of the main concepts of optimization according to COLINA, providing examples through App Inventor and AMPL software applications. All apps developed through the text are available for download. Additionally, the text includes links to the University of Wisconsin NEOS server, designed to handle more computing-intensive problems in complex optimization. Readers are encouraged to have some background in calculus, linear algebra, and related mathematics.

Author : Mohit Singh,David P. Williamson
Publisher : Unknown
Page : 0 pages
File Size : 46,7 Mb
Release : 2021
Category : Electronic
ISBN : 3030738809

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Integer Programming and Combinatorial Optimization by Mohit Singh,David P. Williamson Pdf

This book constitutes the proceedings of the 22nd Conference on Integer Programming and Combinatorial Optimization, IPCO 2021, which took place during May 19-21, 2021. The conference was organized by Georgia Institute of Technology and planned to take place it Atlanta, GA, USA, but changed to an online format due to the COVID-19 pandemic. The 33 papers included in this book were carefully reviewed and selected from 90 submissions. IPCO is under the auspices of the Mathematical Optimization Society, and it is an important forum for presenting the latest results of theory and practice of the various aspects of discrete optimization.

Author : Michele Conforti,Gérard Cornuéjols,Giacomo Zambelli
Publisher : Springer
Page : 466 pages
File Size : 54,5 Mb
Release : 2014-11-15
Category : Business & Economics
ISBN : 9783319110080

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Integer Programming by Michele Conforti,Gérard Cornuéjols,Giacomo Zambelli Pdf

This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study. Key topics include: formulations polyhedral theory cutting planes decomposition enumeration semidefinite relaxations Written by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.

Author : William J. Cook,Andreas S. Schulz
Publisher : Springer
Page : 487 pages
File Size : 42,5 Mb
Release : 2003-08-01
Category : Computers
ISBN : 9783540478676

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Integer Programming and Combinatorial Optimization by William J. Cook,Andreas S. Schulz Pdf

This volume contains the papers selected for presentation at IPCO 2002, the NinthInternationalConferenceonIntegerProgrammingandCombinatorial- timization, Cambridge, MA (USA), May 27–29, 2002. The IPCO series of c- ferences highlights recent developments in theory, computation, and application of integer programming and combinatorial optimization. IPCO was established in 1988 when the ?rst IPCO program committee was formed. IPCO is held every year in which no International Symposium on Ma- ematical Programming (ISMP) takes places. The ISMP is triennial, so IPCO conferences are held twice in every three-year period. The eight previous IPCO conferences were held in Waterloo (Canada) 1990, Pittsburgh (USA) 1992, Erice (Italy) 1993, Copenhagen (Denmark) 1995, Vancouver (Canada) 1996, Houston (USA) 1998, Graz (Austria) 1999, and Utrecht (The Netherlands) 2001. In response to the call for papers for IPCO 2002, the program committee received 110 submissions, a record number for IPCO. The program committee met on January 7 and 8, 2002, in Aussois (France), and selected 33 papers for inclusion in the scienti?c program of IPCO 2002. The selection was based on originality and quality, and re?ects many of the current directions in integer programming and combinatorial optimization research.

Author : Quentin Louveaux,Martin Skutella
Publisher : Springer
Page : 412 pages
File Size : 43,5 Mb
Release : 2016-05-25
Category : Computers
ISBN : 9783319334615

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Integer Programming and Combinatorial Optimization by Quentin Louveaux,Martin Skutella Pdf

This book constitutes the refereed proceedings of the 18th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2016, held in Liège, Belgium, in June 2016. The 33 full papers presented were carefully reviewed and selected from 125 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Author : Jon Lee,Jens Vygen
Publisher : Springer
Page : 429 pages
File Size : 46,6 Mb
Release : 2014-05-17
Category : Computers
ISBN : 9783319075570

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Integer Programming and Combinatorial Optimization by Jon Lee,Jens Vygen Pdf

This book constitutes the refereed proceedings of the 17th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2014, held in Bonn, Germany, in June 2014. The 34 full papers presented were carefully reviewed and selected from 143 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Author : Bernhard Korte,Jens Vygen
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 52,9 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 : Robert E. Bixby,Andrew E. Boyd,Roger Z. Rios-Mercado
Publisher : Springer
Page : 435 pages
File Size : 40,6 Mb
Release : 2014-10-08
Category : Computers
ISBN : 3662189968

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Integer Programming and Combinatorial Optimization by Robert E. Bixby,Andrew E. Boyd,Roger Z. Rios-Mercado Pdf

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
Page : 2024 pages
File Size : 52,8 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

Author : Jon Lee
Publisher : Cambridge University Press
Page : 232 pages
File Size : 55,7 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.

Author : Anonim
Publisher : Unknown
Page : 459 pages
File Size : 50,5 Mb
Release : 2020
Category : Combinatorial optimization
ISBN : 3030457729

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Integer Programming and Combinatorial Optimization by Anonim Pdf

This book constitutes the refereed proceedings of the 21st International Conference on Integer Programming and Combinatorial Optimization, IPCO 2020, held in London, UK, in June 2020. The 33 full versions of extended abstracts presented were carefully reviewed and selected from 126 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas.

Author : Alexander Schrijver
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 50,9 Mb
Release : 1998-06-11
Category : Mathematics
ISBN : 0471982326

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Theory of Linear and Integer Programming by Alexander Schrijver Pdf

Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.

Author : Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
Publisher : Springer Science & Business Media
Page : 804 pages
File Size : 54,8 Mb
Release : 2009-11-06
Category : Mathematics
ISBN : 9783540682790

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50 Years of Integer Programming 1958-2008 by Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey Pdf

In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.