Polyhedral Techniques In Combinatorial Optimization
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Polyhedral Techniques For Combinatorial Optimization Problems
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Author : Mourad Baïou
language : es
Publisher:
Release Date : 2003
Polyhedral Techniques For Combinatorial Optimization Problems written by Mourad Baïou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Polyhedral Techniques In Combinatorial Optimization
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Author : Karen Aardal
language : en
Publisher:
Release Date : 1995
Polyhedral Techniques In Combinatorial Optimization written by Karen Aardal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Polyhedral functions categories.
Polyhedral Techniques In Combinatorial Optimization
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Author : Karen Aardal
language : en
Publisher:
Release Date : 1995
Polyhedral Techniques In Combinatorial Optimization written by Karen Aardal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Combinatorial optimization categories.
Abstract: "The polyhedral approach is one of the most powerful techniques available for solving hard combinatorial optimization problems. The main idea behind the technique is to consider the linear relaxation of the integer conbinatorial optimization problem, and try to iteratively strengthen the linear formulation by adding violated strong valid inequalities, i.e., inequalities that are violated by the current fractional solution but satisfied by all feasible solutions, and that define high-dimensional faces, preferably facets, of the convex hull of feasible solutions. If we have the complete description of the convex hull of feasible solutions all extreme points of this formulation are integral, which means that we can solve the problem as a linear programming problem. Linear programming problems are known to be computationally easy. In Part I of this article we discuss theoretical aspects of polyhedral techniques. Here we will mainly concentrate on the computational aspects. In particular we discuss how polyhedral results are used in cutting plane algorithms. We also consider a few theoretical issues not treated in Part I. We conclude the article by briefly mentioning some alternative techniques for solving combinatorial optimization problems."
Polyhedral Techniques In Combinatorial Optimization
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Author : K.I. Aardal
language : en
Publisher:
Release Date : 1995
Polyhedral Techniques In Combinatorial Optimization written by K.I. Aardal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Combinatorial Optimization
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Author : Alexander Schrijver
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-02-12
Combinatorial Optimization written by Alexander Schrijver and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-12 with Business & Economics categories.
This book offers an in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization.These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research are given, and historical surveys on the basic subjects are presented.
Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization
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Author : Levent Tuncel
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization written by Levent Tuncel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
Compiler Construction
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Author : Evelyn Duesterwald
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-18
Compiler Construction written by Evelyn Duesterwald and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-18 with Computers categories.
This book constitutes the refereed proceedings of the 13th International Conference on Compiler Construction, CC 2004, held in Barcelona, Spain, in March/April 2004. The 19 revised full papers presented together with the abstract of an invited talk were carefully reviewed and selected from 58 submissions. The papers are organized in topical sections on program analysis, parsing, loop analysis, optimization, code generation and backend optimizations, and compiler construction.
Nonlinear Assignment Problems
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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Nonlinear Assignment Problems written by Panos M. Pardalos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
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.
Graphs And Algorithms In Communication Networks
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Author : Arie Koster
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-01
Graphs And Algorithms In Communication Networks written by Arie Koster and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with Computers categories.
Algorithmic discrete mathematics plays a key role in the development of information and communication technologies, and methods that arise in computer science, mathematics and operations research – in particular in algorithms, computational complexity, distributed computing and optimization – are vital to modern services such as mobile telephony, online banking and VoIP. This book examines communication networking from a mathematical viewpoint. The contributing authors took part in the European COST action 293 – a four-year program of multidisciplinary research on this subject. In this book they offer introductory overviews and state-of-the-art assessments of current and future research in the fields of broadband, optical, wireless and ad hoc networks. Particular topics of interest are design, optimization, robustness and energy consumption. The book will be of interest to graduate students, researchers and practitioners in the areas of networking, theoretical computer science, operations research, distributed computing and mathematics.
Computational And Constructive Design Theory
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Author : W.D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Computational And Constructive Design Theory written by W.D. Wallis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Over the last several years, there has been a significant increase in compu tational combinatorics. The most widely reported results were, of course, the proof of the Four Color Theorem and the proof that there is no projective plane of parameter 10. Although the computer was essential in both proofs, the only reason for this was the fact that life is short. The computations involved were not different in kind from those which have been done by human brains without electronic assistance; they were just longer. Another important fact to notice is that both problems were theoretical, pure mathematical ones. The pursuit of the Four-Color Theorem has led to the development of whole branches of graph theory. The plane of parameter 10 is not an isolated case; its nonexistence is the first (and so far, the only) coun terexample to the conjecture that the Bruck-Chowla-Ryser conditions were necessary and sufficient for the existence of a symmetric balanced incomplete block design; the study of this problem has also led to a number of theoretical advances, including investigation of the relationship between codes and designs.