Assignment Problems

Author : Rainer Burkard,Mauro Dell'Amico,Silvano Martello
Publisher : SIAM
Page : 403 pages
File Size : 46,7 Mb
Release : 2012-10-31
Category : Mathematics
ISBN : 9781611972221

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Assignment Problems, Revised Reprint by Rainer Burkard,Mauro Dell'Amico,Silvano Martello Pdf

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.

Author : Panos M. Pardalos,L.S. Pitsoulis
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 52,5 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9781475731552

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Nonlinear Assignment Problems by Panos M. Pardalos,L.S. Pitsoulis Pdf

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.

Author : Shahid H. Bokhari
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 45,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461320036

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Assignment Problems in Parallel and Distributed Computing by Shahid H. Bokhari Pdf

This book has been written for practitioners, researchers and stu dents in the fields of parallel and distributed computing. Its objective is to provide detailed coverage of the applications of graph theoretic tech niques to the problems of matching resources and requirements in multi ple computer systems. There has been considerable research in this area over the last decade and intense work continues even as this is being written. For the practitioner, this book serves as a rich source of solution techniques for problems that are routinely encountered in the real world. Algorithms are presented in sufficient detail to permit easy implementa tion; background material and fundamental concepts are covered in full. The researcher will find a clear exposition of graph theoretic tech niques applied to parallel and distributed computing. Research results are covered and many hitherto unpublished spanning the last decade results by the author are included. There are many unsolved problems in this field-it is hoped that this book will stimulate further research.

Author : D. F. Votaw (Jr.)
Publisher : Unknown
Page : 52 pages
File Size : 53,5 Mb
Release : 1959
Category : Occupational aptitude tests
ISBN : UOM:39015095297589

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Functional Tests of Solutions of Personnel Assignment Problems by D. F. Votaw (Jr.) Pdf

Author : Panos M. Pardalos,Henry Wolkowicz
Publisher : American Mathematical Soc.
Page : 380 pages
File Size : 46,7 Mb
Release : 1994-01-01
Category : Mathematics
ISBN : 0821870629

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Quadratic Assignment and Related Problems by Panos M. Pardalos,Henry Wolkowicz Pdf

The methods described here include eigenvalue estimates and reduction techniques for lower bounds, parallelization, genetic algorithms, polyhedral approaches, greedy and adaptive search algorithms.

Author : E. Cela
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 43,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475727876

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The Quadratic Assignment Problem by E. Cela Pdf

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.

Author : Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali
Publisher : John Wiley & Sons
Page : 764 pages
File Size : 52,7 Mb
Release : 2009-12-14
Category : Mathematics
ISBN : 9780470462720

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Linear Programming and Network Flows by Mokhtar S. Bazaraa,John J. Jarvis,Hanif D. Sherali Pdf

The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include: The cycling phenomenon in linear programming and the geometry of cycling Duality relationships with cycling Elaboration on stable factorizations and implementation strategies Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilter algorithm Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.

Author : Col. D. S. Cheema
Publisher : Firewall Media
Page : 942 pages
File Size : 48,8 Mb
Release : 2005
Category : Business & Economics
ISBN : 8170087554

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Operations Research by Col. D. S. Cheema Pdf

Author : Michael Patriksson
Publisher : Courier Dover Publications
Page : 244 pages
File Size : 47,9 Mb
Release : 2015-02-18
Category : Mathematics
ISBN : 9780486787909

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The Traffic Assignment Problem by Michael Patriksson Pdf

"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"--

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214922

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Parallel Processing of Discrete Problems by Panos M. Pardalos Pdf

In the past two decades, breakthroughs in computer technology have made a tremendous impact on optimization. In particular, availability of parallel computers has created substantial interest in exploring the use of parallel processing for solving discrete and global optimization problems. The chapters in this volume cover a broad spectrum of recent research in parallel processing of discrete and related problems. The topics discussed include distributed branch-and-bound algorithms, parallel genetic algorithms for large scale discrete problems, simulated annealing, parallel branch-and-bound search under limited-memory constraints, parallelization of greedy randomized adaptive search procedures, parallel optical models of computing, randomized parallel algorithms, general techniques for the design of parallel discrete algorithms, parallel algorithms for the solution of quadratic assignment and satisfiability problems. The book will be a valuable source of information to faculty, students and researchers in combinatorial optimization and related areas.

Author : K. Chandrasekhara Rao,Shanti Lata Mishra
Publisher : Alpha Science Int'l Ltd.
Page : 356 pages
File Size : 40,9 Mb
Release : 2005
Category : Business & Economics
ISBN : 184265120X

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Operations Research by K. Chandrasekhara Rao,Shanti Lata Mishra Pdf

This text develops the fundamental principles of operations research. It encompasses topics such as graphical and simplex methods, duality, transportation and assignment problems, game theory, and dynamic and integer programming problems.

Author : P. C. Tulsian
Publisher : Pearson Education India
Page : 806 pages
File Size : 44,9 Mb
Release : 2006
Category : Decision making
ISBN : 8131701867

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Quantitative Techniques by P. C. Tulsian Pdf

Quantitative Techniques: Theory and Problems adopts a fresh and novel approach to the study of quantitative techniques, and provides a comprehensive coverage of the subject. Essentially designed for extensive practice and self-study, this book will serve as a tutor at home. Chapters contain theory in brief, numerous solved examples and exercises with exhibits and tables.

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 46,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475730234

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Handbook of Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos Pdf

Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

Author : Joost Breuker,Walter Van de Velde
Publisher : IOS Press
Page : 380 pages
File Size : 42,5 Mb
Release : 1994
Category : Computers
ISBN : 9051991649

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CommonKADS Library for Expertise Modelling by Joost Breuker,Walter Van de Velde Pdf

The re-use of abstract models of problem solving is a major step towards cost-effective and quality-assured knowledge-based system development. The techniques are discussed in this text.

Author : G. V. Shenoy,U. K. Srivastava,S. C. Sharma
Publisher : New Age International
Page : 418 pages
File Size : 42,6 Mb
Release : 1986
Category : Business & Economics
ISBN : 085226917X

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Operations Research for Management by G. V. Shenoy,U. K. Srivastava,S. C. Sharma Pdf