Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization

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Publisher : American Mathematical Soc.
ISBN 13 : 1470428113
Total Pages : 219 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization by : Levent Tunçel

Download or read book Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization written by Levent Tunçel and published by American Mathematical Soc.. This book was released on 2016-05-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 1960s, polyhedral methods have played a central role in both the theory and practice of combinatorial optimization. Since the early 1990s, a new technique, semidefinite programming, has been increasingly applied to some combinatorial optimization problems. The semidefinite programming problem is the problem of optimizing a linear function of matrix variables, subject to finitely many linear inequalities and the positive semidefiniteness condition on some of the matrix variables. On certain problems, such as maximum cut, maximum satisfiability, maximum stable set and geometric representations of graphs, semidefinite programming techniques yield important new results. This monograph provides the necessary background to work with semidefinite optimization techniques, usually by drawing parallels to the development of polyhedral techniques and with a special focus on combinatorial optimization, graph theory and lift-and-project methods. It allows the reader to rigorously develop the necessary knowledge, tools and skills to work in the area that is at the intersection of combinatorial optimization and semidefinite optimization. A solid background in mathematics at the undergraduate level and some exposure to linear optimization are required. Some familiarity with computational complexity theory and the analysis of algorithms would be helpful. Readers with these prerequisites will appreciate the important open problems and exciting new directions as well as new connections to other areas in mathematical sciences that the book provides.

Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization

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Publisher :
ISBN 13 : 9781470417901
Total Pages : pages
Book Rating : 4.4/5 (179 download)

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Book Synopsis Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization by : Levent Tunçel

Download or read book Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization written by Levent Tunçel and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Semidefinite and Interior-Point Methods

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871256
Total Pages : 276 pages
Book Rating : 4.8/5 (712 download)

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Book Synopsis Topics in Semidefinite and Interior-Point Methods by : Panos M. Pardalos and Henry Wolkowicz

Download or read book Topics in Semidefinite and Interior-Point Methods written by Panos M. Pardalos and Henry Wolkowicz and published by American Mathematical Soc.. This book was released on with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents refereed papers presented at the workshop Semidefinite Programming and Interior-Point Approaches for Combinatorial Problems: held at The Fields Institute in May 1996. Semidefinite programming (SDP) is a generalization of linear programming (LP) in that the non-negativity constraints on the variables is replaced by a positive semidefinite constraint on matrix variables. Many of the elegant theoretical properties and powerful solution techniques follow through from LP to SDP. In particular, the primal-dual interior-point methods, which are currently so successful for LP, can be used to efficiently solve SDP problems. In addition to the theoretical and algorithmic questions, SDP has found many important applications in combinatorial optimization, control theory and other areas of mathematical programming. The papers in this volume cover a wide spectrum of recent developments in SDP. The volume would be suitable as a textbook for advanced courses in optimization. It is intended for graduate students and researchers in mathematics, computer science, engineering and operations.

Aspects of Semidefinite Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 0306478196
Total Pages : 288 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Aspects of Semidefinite Programming by : E. de Klerk

Download or read book Aspects of Semidefinite Programming written by E. de Klerk and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming. In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the Lovász theta function and the MAX-CUT approximation algorithm by Goemans and Williamson. Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

Nonlinear Assignment Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475731558
Total Pages : 317 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Assignment Problems by : Panos M. Pardalos

Download or read book Nonlinear Assignment Problems written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Assignment Problems (NAPs) are natural extensions of the classic Linear Assignment Problem, and despite the efforts of many researchers over the past three decades, they still remain some of the hardest combinatorial optimization problems to solve exactly. The purpose of this book is to provide in a single volume, major algorithmic aspects and applications of NAPs as contributed by leading international experts. The chapters included in this book are concerned with major applications and the latest algorithmic solution approaches for NAPs. Approximation algorithms, polyhedral methods, semidefinite programming approaches and heuristic procedures for NAPs are included, while applications of this problem class in the areas of multiple-target tracking in the context of military surveillance systems, of experimental high energy physics, and of parallel processing are presented. Audience: Researchers and graduate students in the areas of combinatorial optimization, mathematical programming, operations research, physics, and computer science.

Integer Programming and Combinatorial Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3540422250
Total Pages : 432 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Karen Aardal

Download or read book Integer Programming and Combinatorial Optimization written by Karen Aardal and published by Springer Science & Business Media. This book was released on 2001-05-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the reviewed proceedings of the 8th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2001, held in Utrecht, The Netherlands in June 2001. The 32 revised full papers presented were carefully reviewed and selected from a total of 108 submissions. The proceedings reflect most current directions in integer programming and optimization research. Among the topics covered are approximation algorithms, branch and bound algorithms, computational biology, computational complexity, algorithmic geometry, cutting plane algorithms, diophantine equations, geometry of members, graph and network algorithms, online algorithms, polyhedral combinatorics, scheduling theory and algorithms, and semidefinite programs.

Integer Programming and Combinatorial Optimization

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Publisher : Springer
ISBN 13 : 3540487778
Total Pages : 462 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Gerard Cornuejols

Download or read book Integer Programming and Combinatorial Optimization written by Gerard Cornuejols and published by Springer. This book was released on 2007-03-05 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Integer Programming and Combinatorial Optimization

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Publisher : Springer Nature
ISBN 13 : 3030738795
Total Pages : 490 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Mohit Singh

Download or read book Integer Programming and Combinatorial Optimization written by Mohit Singh and published by Springer Nature. This book was released on 2021-05-05 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 MathematicalOptimization Society, and it is an important forum for presenting the latest results of theory and practice of the various aspects of discrete optimization.

Recent Advances in Algorithms and Combinatorics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387224440
Total Pages : 357 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Recent Advances in Algorithms and Combinatorics by : Bruce A. Reed

Download or read book Recent Advances in Algorithms and Combinatorics written by Bruce A. Reed and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research

Integer Programming and Combinatorial Optimization

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Publisher : Springer
ISBN 13 : 3540727922
Total Pages : 502 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Matteo Fischetti

Download or read book Integer Programming and Combinatorial Optimization written by Matteo Fischetti and published by Springer. This book was released on 2007-06-26 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2007, held in Ithaca, NY, USA, in June 2007. Among the topics addressed in the 36 revised full papers are approximation algorithms, algorithmic game theory, computational biology, integer programming, polyhedral combinatorics, scheduling theory and scheduling algorithms, as well as semidefinite programs.

Handbook of combinatorial optimization. 1

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792350187
Total Pages : 808 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Handbook of combinatorial optimization. 1 by : Dingzhu Du

Download or read book Handbook of combinatorial optimization. 1 written by Dingzhu Du and published by Springer Science & Business Media. This book was released on 1998 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of a multi-volume set, which deals with several algorithmic approaches for discrete problems as well as many combinatorial problems. It is addressed to researchers in discrete optimization, and to all scientists who use combinatorial optimization methods to model and solve problems.

Computational and Analytical Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461476216
Total Pages : 701 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computational and Analytical Mathematics by : David H. Bailey

Download or read book Computational and Analytical Mathematics written by David H. Bailey and published by Springer Science & Business Media. This book was released on 2013-09-15 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

Combinatorial Optimization

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Publisher : Springer Nature
ISBN 13 : 3031609247
Total Pages : 425 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Combinatorial Optimization by : Amitabh Basu

Download or read book Combinatorial Optimization written by Amitabh Basu and published by Springer Nature. This book was released on with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Optimization

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Publisher : Springer
ISBN 13 : 3319455877
Total Pages : 452 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Combinatorial Optimization by : Raffaele Cerulli

Download or read book Combinatorial Optimization written by Raffaele Cerulli and published by Springer. This book was released on 2016-09-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Symposium on Combinatorial Optimization, ISCO 2016, held in Vietri sul Mare, Italy, in May 2016. The 38 revised full papers presented in this book were carefully reviewed and selected from 98 submissions. They present original research on all aspects of combinatorial optimization, such as algorithms and complexity; mathematical programming; operations research; stochastic optimization; and graphs and combinatorics.

Facets of Combinatorial Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642381898
Total Pages : 506 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Facets of Combinatorial Optimization by : Michael Jünger

Download or read book Facets of Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2013-07-03 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel’s doctoral descendant tree 1983–2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren and 2 great-great-grandchildren, a total of 139 doctoral descendants. This book starts with a personal tribute to Martin Grötschel by the editors (Part I), a contribution by his very special “predecessor” Manfred Padberg on “Facets and Rank of Integer Polyhedra” (Part II), and the doctoral descendant tree 1983–2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, super classes of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed integer linear optimization, the first by scientists working in industry, the second by scientists working in academia. These articles reflect the “scientific facets” of Martin Grötschel who has set standards in theory, computation and applications.

Concepts of Combinatorial Optimization

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Publisher : John Wiley & Sons
ISBN 13 : 1848216564
Total Pages : 67 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Concepts of Combinatorial Optimization by : Vangelis Th. Paschos

Download or read book Concepts of Combinatorial Optimization written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2014-09-09 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.

A Mathematical Approach to Research Problems of Science and Technology

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Publisher : Springer
ISBN 13 : 4431550607
Total Pages : 507 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis A Mathematical Approach to Research Problems of Science and Technology by : Ryuei Nishii

Download or read book A Mathematical Approach to Research Problems of Science and Technology written by Ryuei Nishii and published by Springer. This book was released on 2014-07-14 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.