The Quadratic Assignment Problem

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The Quadratic Assignment Problem
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Author : E. Cela
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
The Quadratic Assignment Problem written by E. Cela 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 2013-03-14 with Mathematics categories.
The quadratic assignment problem (QAP) was introduced in 1957 by Koopmans and Beckmann to model a plant location problem. Since then the QAP has been object of numerous investigations by mathematicians, computers scientists, ope- tions researchers and practitioners. Nowadays the QAP is widely considered as a classical combinatorial optimization problem which is (still) attractive from many points of view. In our opinion there are at last three main reasons which make the QAP a popular problem in combinatorial optimization. First, the number of re- life problems which are mathematically modeled by QAPs has been continuously increasing and the variety of the fields they belong to is astonishing. To recall just a restricted number among the applications of the QAP let us mention placement problems, scheduling, manufacturing, VLSI design, statistical data analysis, and parallel and distributed computing. Secondly, a number of other well known c- binatorial optimization problems can be formulated as QAPs. Typical examples are the traveling salesman problem and a large number of optimization problems in graphs such as the maximum clique problem, the graph partitioning problem and the minimum feedback arc set problem. Finally, from a computational point of view the QAP is a very difficult problem. The QAP is not only NP-hard and - hard to approximate, but it is also practically intractable: it is generally considered as impossible to solve (to optimality) QAP instances of size larger than 20 within reasonable time limits.
Handbook Of Combinatorial Optimization
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Author : Dingzhu Du
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-12-15
Handbook Of Combinatorial Optimization written by Dingzhu Du 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 1998-12-15 with Science categories.
This is the second of a multi-volume set. The various volumes deal with several algorithmic approaches for discrete problems as well as with many combinatorial problems. The emphasis is on late-1990s developments. Each chapter is essentially expository in nature, but scholarly in its treatment.
Assignment Problems Revised Reprint
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Author : Rainer Burkard
language : en
Publisher: SIAM
Release Date : 2012-10-31
Assignment Problems Revised Reprint written by Rainer Burkard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-31 with Mathematics categories.
Assignment Problems is a useful tool for researchers, practitioners and graduate students. In 10 self-contained chapters, it provides a comprehensive treatment of assignment problems from their conceptual beginnings through present-day theoretical, algorithmic and practical developments. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems and many variations of these. Researchers will benefit from the detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its variations. Practitioners will learn about practical applications of the methods, the performance of exact and heuristic algorithms, and software options. This book also can serve as a text for advanced courses in areas related to discrete mathematics and combinatorial optimisation. The revised reprint provides details on a recent discovery related to one of Jacobi's results, new material on inverse assignment problems and quadratic assignment problems, and an updated bibliography.
The Quadratic Assignment Problem
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Author : E. Cela
language : en
Publisher:
Release Date : 2014-01-15
The Quadratic Assignment Problem written by E. Cela and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
The Quadratic Assignment Problem
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Author : Rainer E. Burkard
language : en
Publisher:
Release Date : 1998
The Quadratic Assignment Problem written by Rainer E. Burkard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Traffic Assignment Problem
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Author : Michael Patriksson
language : en
Publisher: Courier Dover Publications
Release Date : 2015-02-18
The Traffic Assignment Problem written by Michael Patriksson and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-18 with Mathematics categories.
"This unique monograph, a classic in its field, provides an account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas. The text further demonstrates the scope and limits of current models. Some familiarity with nonlinear programming theory and techniques is assumed. 1994 edition"--
Frequency Assignment Models And Algorithms
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Author : Arie Marinus Catharinus Antonius Koster
language : en
Publisher: Arie Koster
Release Date : 1999
Frequency Assignment Models And Algorithms written by Arie Marinus Catharinus Antonius Koster and has been published by Arie Koster this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.