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Linear Characterization Of The Solutions Of The Quadratic Assignment Problem


Linear Characterization Of The Solutions Of The Quadratic Assignment Problem
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Linear Characterization Of The Solutions Of The Quadratic Assignment Problem


Linear Characterization Of The Solutions Of The Quadratic Assignment Problem
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Author : E. Akkoyunlu
language : en
Publisher:
Release Date : 1971

Linear Characterization Of The Solutions Of The Quadratic Assignment Problem written by E. Akkoyunlu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




The Quadratic Assignment Problem


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.



Quadratic Assignment And Related Problems


Quadratic Assignment And Related Problems
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Author : Panos M. Pardalos
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01

Quadratic Assignment And Related Problems written by Panos M. Pardalos 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 1994-01-01 with Mathematics categories.


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



Handbook Of Combinatorial Optimization


Handbook Of Combinatorial Optimization
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Author : Ding-Zhu Du
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

Handbook Of Combinatorial Optimization written by Ding-Zhu 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 2006-08-18 with Business & Economics categories.


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.



New Linear Programming Based Solution Procedures For The Quadratic Assignment Problem


New Linear Programming Based Solution Procedures For The Quadratic Assignment Problem
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Author : Terri Anne Johnson
language : en
Publisher:
Release Date : 1992

New Linear Programming Based Solution Procedures For The Quadratic Assignment Problem written by Terri Anne Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




An Evaluation And Analysis Of The Resolvent Sequence Method For Solving The Quadratic Assignment Problem


An Evaluation And Analysis Of The Resolvent Sequence Method For Solving The Quadratic Assignment Problem
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Author : Thomas L. Grant
language : en
Publisher:
Release Date : 1989

An Evaluation And Analysis Of The Resolvent Sequence Method For Solving The Quadratic Assignment Problem written by Thomas L. Grant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




A Linear Programming Formulation Of A Special Quadratic Assignment Problem


A Linear Programming Formulation Of A Special Quadratic Assignment Problem
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Author :
language : en
Publisher:
Release Date : 1971

A Linear Programming Formulation Of A Special Quadratic Assignment Problem written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.


A special quadratic assignment problem is shown to be equivalent to a linear programming problem with n cubed constraints and n squared variables where n is the number of elements to be assigned. A labeling algorithm similar to that for the linear transportation problem is presented for solving the problem. An example is presented that deals with ' triangularizing' input-output matrices.



Assignment Problems Revised Reprint


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.



Decision Analysis Location Models And Scheduling Problems


Decision Analysis Location Models And Scheduling Problems
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Author : H. A. Eiselt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-04

Decision Analysis Location Models And Scheduling Problems written by H. A. Eiselt 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 2013-06-04 with Business & Economics categories.


The purpose of this book is to provide readers with an introduction to the fields of decision making, location analysis, and project and machine scheduling. The combination of these topics is not an accident: decision analysis can be used to investigate decision seenarios in general, location analysis is one of the prime examples of decision making on the strategic Ievel, project scheduling is typically concemed with decision making on the tactical Ievel, and machine scheduling deals with decision making on the operational Ievel. Some of the chapters were originally contributed by different authors, and we have made every attempt to unify the notation, style, and, most importantly, the Ievel of the exposition. Similar to our book on Integer Programming and Network Models (Eiselt and Sandblom, 2000), the emphasis of this volume is on models rather than solution methods. This is particularly important in a book that purports to promote the science of decision making. As such, advanced undergraduate and graduate students, as weil as practitioners, will find this volume beneficial. While different authors prefer different degrees of mathematical sophistication, we have made every possible attempt to unify the approaches, provide clear explanations, and make this volume accessible to as many readers as possible.



Encyclopedia Of Operations Research And Management Science


Encyclopedia Of Operations Research And Management Science
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Author : Saul I. Gass
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Encyclopedia Of Operations Research And Management Science written by Saul I. Gass 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 2012-12-06 with Business & Economics categories.


Operations Research: 1934-1941," 35, 1, 143-152; "British The goal of the Encyclopedia of Operations Research and Operational Research in World War II," 35, 3, 453-470; Management Science is to provide to decision makers and "U. S. Operations Research in World War II," 35, 6, 910-925; problem solvers in business, industry, government and and the 1984 article by Harold Lardner that appeared in academia a comprehensive overview of the wide range of Operations Research: "The Origin of Operational Research," ideas, methodologies, and synergistic forces that combine to 32, 2, 465-475. form the preeminent decision-aiding fields of operations re search and management science (OR/MS). To this end, we The Encyclopedia contains no entries that define the fields enlisted a distinguished international group of academics of operations research and management science. OR and MS and practitioners to contribute articles on subjects for are often equated to one another. If one defines them by the which they are renowned. methodologies they employ, the equation would probably The editors, working with the Encyclopedia's Editorial stand inspection. If one defines them by their historical Advisory Board, surveyed and divided OR/MS into specific developments and the classes of problems they encompass, topics that collectively encompass the foundations, applica the equation becomes fuzzy. The formalism OR grew out of tions, and emerging elements of this ever-changing field. We the operational problems of the British and U. s. military also wanted to establish the close associations that OR/MS efforts in World War II.