Nonlinear Assignment Problems

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Nonlinear Assignment Problems

Author : Panos M. Pardalos
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.

The Quadratic Assignment Problem

Author : E. Cela
Publisher : Springer Science & Business Media
ISBN 13 : 1475727879
Total Pages : 296 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Quadratic Assignment Problem by : E. Cela

Download or read book The Quadratic Assignment Problem written by E. Cela and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

The Traffic Assignment Problem

Author : Michael Patriksson
Publisher : Courier Dover Publications
ISBN 13 : 0486802272
Total Pages : 244 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Traffic Assignment Problem by : Michael Patriksson

Download or read book The Traffic Assignment Problem written by Michael Patriksson and published by Courier Dover Publications. This book was released on 2015-01-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides both a unified account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas and a survey of the scope and limitations of present traffic models. The development is described and analyzed by the use of the powerful instruments of nonlinear optimization and mathematical programming within the field of operations research. The first part is devoted to mathematical models for the analysis of transportation network equilibria; the second deals with methods for traffic equilibrium problems. This title will interest readers wishing to extend their knowledge of equilibrium modeling and analysis and of the foundations of efficient optimization methods adapted for the solution of large-scale models. In addition to its value to researchers, the treatment is suitable for advanced graduate courses in transportation, operations research, and quantitative economics.

Nonlinear Programming and Variational Inequality Problems

Author : Michael Patriksson
Publisher : Springer Science & Business Media
ISBN 13 : 9780792354550
Total Pages : 360 pages
Book Rating : 4.3/5 (545 download)

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Book Synopsis Nonlinear Programming and Variational Inequality Problems by : Michael Patriksson

Download or read book Nonlinear Programming and Variational Inequality Problems written by Michael Patriksson and published by Springer Science & Business Media. This book was released on 1999 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of algorithms presented in this book is called Cost Approximation. It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the updating of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of the book is to offer this framework as an intuitively appealing tool for describing an algorithm. Another purpose is to provide a convergence analysis of the algorithms in the framework. Audience: The book will be of interest to all researchers in the field (it includes over 800 references) and can also be used for advanced courses in non-linear optimization with the possibility of being oriented either to algorithm theory or to the numerical aspects of large-scale nonlinear optimization.

Knapsack Problems

Author : Silvano Martello
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Knapsack Problems by : Silvano Martello

Download or read book Knapsack Problems written by Silvano Martello and published by . This book was released on 1990-12-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a state of art examination on exact and approximate algorithms for a number of important NP-hard problems in the field of integer linear programming, which the authors refer to as ``knapsack.'' Includes not only the classical knapsack problems such as binary, bounded, unbounded or binary multiple, but also less familiar problems such as subset-sum and change-making. Well known problems that are not usually classified in the knapsack area, including generalized assignment and bin packing, are also covered. The text fully develops an algorithmic approach without losing mathematical rigor.

Nonlinear Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer
ISBN 13 : 3030161943
Total Pages : 317 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Combinatorial Optimization by : Ding-Zhu Du

Download or read book Nonlinear Combinatorial Optimization written by Ding-Zhu Du and published by Springer. This book was released on 2019-05-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students and researchers in applied mathematics, optimization, engineering, computer science, and management science will find this book a useful reference which provides an introduction to applications and fundamental theories in nonlinear combinatorial optimization. Nonlinear combinatorial optimization is a new research area within combinatorial optimization and includes numerous applications to technological developments, such as wireless communication, cloud computing, data science, and social networks. Theoretical developments including discrete Newton methods, primal-dual methods with convex relaxation, submodular optimization, discrete DC program, along with several applications are discussed and explored in this book through articles by leading experts.

Library of Congress Subject Headings

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1384 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2004 with total page 1384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programs and Related Problems

Author : Evar D. Nering
Publisher : Academic Press
ISBN 13 : 9780125154406
Total Pages : 618 pages
Book Rating : 4.1/5 (544 download)

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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 and published by Academic Press. This book was released on 1993 with total page 618 pages. 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.

Network Optimization Problems: Algorithms, Applications And Complexity

Author : Ding-zhu Du
Publisher : World Scientific
ISBN 13 : 9814504580
Total Pages : 417 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Network Optimization Problems: Algorithms, Applications And Complexity by : Ding-zhu Du

Download or read book Network Optimization Problems: Algorithms, Applications And Complexity written by Ding-zhu Du and published by World Scientific. This book was released on 1993-04-27 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a

Selected Applications of Nonlinear Programming

Author : Jerome Bracken
Publisher : New York : Wiley
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Selected Applications of Nonlinear Programming by : Jerome Bracken

Download or read book Selected Applications of Nonlinear Programming written by Jerome Bracken and published by New York : Wiley. This book was released on 1968 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Integer Nonlinear Programming

Author : Jon Lee
Publisher : Springer Science & Business Media
ISBN 13 : 1461419271
Total Pages : 687 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mixed Integer Nonlinear Programming by : Jon Lee

Download or read book Mixed Integer Nonlinear Programming written by Jon Lee and published by Springer Science & Business Media. This book was released on 2011-12-02 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.

Location, Scheduling, Design and Integer Programming

Author : Manfred W. Padberg
Publisher : Springer Science & Business Media
ISBN 13 : 1461313791
Total Pages : 228 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Location, Scheduling, Design and Integer Programming by : Manfred W. Padberg

Download or read book Location, Scheduling, Design and Integer Programming written by Manfred W. Padberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Location, scheduling and design problems are assignment type problems with quadratic cost functions and occur in many contexts stretching from spatial economics via plant and office layout planning to VLSI design and similar prob lems in high-technology production settings. The presence of nonlinear inter action terms in the objective function makes these, otherwise simple, problems NP hard. In the first two chapters of this monograph we provide a survey of models of this type and give a common framework for them as Boolean quadratic problems with special ordered sets (BQPSs). Special ordered sets associated with these BQPSs are of equal cardinality and either are disjoint as in clique partitioning problems, graph partitioning problems, class-room scheduling problems, operations-scheduling problems, multi-processor assign ment problems and VLSI circuit layout design problems or have intersections with well defined joins as in asymmetric and symmetric Koopmans-Beckmann problems and quadratic assignment problems. Applications of these problems abound in diverse disciplines, such as anthropology, archeology, architecture, chemistry, computer science, economics, electronics, ergonomics, marketing, operations management, political science, statistical physics, zoology, etc. We then give a survey of the traditional solution approaches to BQPSs. It is an unfortunate fact that even after years of investigation into these problems, the state of algorithmic development is nowhere close to solving large-scale real life problems exactly. In the main part of this book we follow the polyhedral approach to combinatorial problem solving because of the dramatic algorith mic successes of researchers who have pursued this approach.

Library of Congress Subject Headings

Author : Library of Congress. Cataloging Policy and Support Office
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office

Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Parallel Algorithms for Irregular Problems: State of the Art

Author : Alfonso Ferreira
Publisher : Springer Science & Business Media
ISBN 13 : 1475761309
Total Pages : 338 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Parallel Algorithms for Irregular Problems: State of the Art by : Alfonso Ferreira

Download or read book Parallel Algorithms for Irregular Problems: State of the Art written by Alfonso Ferreira and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient parallel solutions have been found to many problems. Some of them can be obtained automatically from sequential programs, using compilers. However, there is a large class of problems - irregular problems - that lack efficient solutions. IRREGULAR 94 - a workshop and summer school organized in Geneva - addressed the problems associated with the derivation of efficient solutions to irregular problems. This book, which is based on the workshop, draws on the contributions of outstanding scientists to present the state of the art in irregular problems, covering aspects ranging from scientific computing, discrete optimization, and automatic extraction of parallelism. Audience: This first book on parallel algorithms for irregular problems is of interest to advanced graduate students and researchers in parallel computer science.

Concepts, Applications and Emerging Opportunities in Industrial Engineering

Author : Gary Moynihan
Publisher : BoD – Books on Demand
ISBN 13 : 183880935X
Total Pages : 272 pages
Book Rating : 4.8/5 (388 download)

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Book Synopsis Concepts, Applications and Emerging Opportunities in Industrial Engineering by : Gary Moynihan

Download or read book Concepts, Applications and Emerging Opportunities in Industrial Engineering written by Gary Moynihan and published by BoD – Books on Demand. This book was released on 2021-01-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From their initial focus in manufacturing, the industrial engineering principles, tools, and techniques have spread across a spectrum of application areas. Topics covered in this book apply to this continuum of application, including operations planning, safety, quality, production control, inventory management, operations research, supply chain management, and continuous improvement. This edited book comes at an opportune time. It incorporates new knowledge and expertise in a rapidly changing engineering discipline that is a vital force in a wide range of manufacturing, service, educational, and government organizations. Such concepts as lean systems, sustainability, systems thinking, data analytics, and additive manufacturing, as well as utilization of advanced computer software, have further expanded industrial engineering's breadth. Each chapter reflects important aspects of these advances.