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Nonlinear Assignment Problems

2013-03-09 Computers
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Release : 2013-03-09
Genre : Computers
Kind : eBook
Book Rating : 558/5 ( reviews)

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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. This book was released on 2013-03-09. 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.

On Some Nonlinear Assignment Problems

2018
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Release : 2018
Genre :
Kind : eBook
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Book Synopsis On Some Nonlinear Assignment Problems by : Vladyslav Sokol

Download or read book On Some Nonlinear Assignment Problems written by Vladyslav Sokol. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt: Linear assignment problem (commonly referred to as just assignment problem) is a fundamental problem in combinatorial optimization. The goal is to assign n workers to do n jobs so that the linear sum of corresponding costs is minimized. The linear assignment problem is thoroughly studied and has a O(n^3) solution with Hungarian algorithm. Nevertheless, a wide range of applications involving assignments are naturally modeled with more complex objective functions (for example quadratic sum as in quadratic assignment problem), and are much more computationally challenging. In this thesis we discuss our results on the bilinear assignment problem, which generalizes the quadratic assignment problem, and is also motivated by several unique applications. The focus is on computational complexity, solvable special cases, approximations, linearizations as well as local search algorithms and other heuristic approaches for the problem. We also present our results on few applied projects, where modelling the underlying problem as a nonlinear assignment was instrumental.

Algorithms for Nonlinear Assignment Problems

1998 Nonlinear assignment problems
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Release : 1998
Genre : Nonlinear assignment problems
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Book Synopsis Algorithms for Nonlinear Assignment Problems by : Leonidas S. Pitsoulis

Download or read book Algorithms for Nonlinear Assignment Problems written by Leonidas S. Pitsoulis. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programs and Related Problems

1993 Computers
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Release : 1993
Genre : Computers
Kind : eBook
Book Rating : 406/5 ( reviews)

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Book Synopsis Linear Programs and Related Problems by : Evar D. Nering

Download or read book Linear Programs and Related Problems written by Evar D. Nering. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Assignment Problems, Revised Reprint

2009-01-01 Mathematics
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Release : 2009-01-01
Genre : Mathematics
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Book Rating : 238/5 ( reviews)

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Book Synopsis Assignment Problems, Revised Reprint by : Rainer E. Burkard

Download or read book Assignment Problems, Revised Reprint written by Rainer E. Burkard. This book was released on 2009-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. 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 authors have organized the book into 10 self-contained chapters to make it easy for readers to use the specific chapters of interest to them without having to read the book linearly. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems, and many variations of these problems. Exercises in the form of numerical examples provide readers with a method of self-study or students with homework problems, and an associated webpage offers applets that readers can use to execute some of the basic algorithms as well as links to computer codes that are available online. Researchers will benefit from the book's detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its many 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 discrete mathematics, integer programming, combinatorial optimization, and algorithmic computer science.

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