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On Some Nonlinear Assignment Problems


On Some Nonlinear Assignment Problems
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On Some Nonlinear Assignment Problems


On Some Nonlinear Assignment Problems
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Author : Vladyslav Sokol
language : en
Publisher:
Release Date : 2018

On Some Nonlinear Assignment Problems written by Vladyslav Sokol and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.


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.



Integer Programming And Related Areas A Classified Bibliography 1976 1978


Integer Programming And Related Areas A Classified Bibliography 1976 1978
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Author : D. Hausmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Integer Programming And Related Areas A Classified Bibliography 1976 1978 written by D. Hausmann 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.




Nonlinear Assignment Problems


Nonlinear Assignment Problems
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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Nonlinear Assignment Problems written by Panos M. Pardalos 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 2013-03-09 with Computers categories.


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 Traffic Assignment Problem Models And Methods


The Traffic Assignment Problem Models And Methods
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Author : Michael Patriksson
language : en
Publisher: CRC Press
Release Date : 1994-10

The Traffic Assignment Problem Models And Methods written by Michael Patriksson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10 with Technology & Engineering categories.




Integer Programming And Related Areas


Integer Programming And Related Areas
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Author : Rabe v. Randow
language : en
Publisher: Springer
Release Date : 1990-07-10

Integer Programming And Related Areas written by Rabe v. Randow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-10 with Business & Economics categories.


This fifth volume of a comprehensive bibliography lists all available publications on integer programming and combinatorial optimization from autumn 1984 to the end of 1987. The volume compiles and classifies 5867 new publications by 4680 authors under 50 different subject headings. The listing covers theory and methods of general integer programming and applications of integer programming. This classified bibliography will be an invaluable reference source for mathematicians working in optimization, researchers working on integer programming techniques, and industrial operations research departments. The four earlier volumes were published as "Lecture Notes in Economics and Mathematical Systems" Vols. 128, 160, 197 and 243.



Integer Programming And Related Areas


Integer Programming And Related Areas
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Author : C. Kastning
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Integer Programming And Related Areas written by C. Kastning 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 2013-11-11 with Business & Economics categories.


Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.



National Bureau Of Standards Miscellaneous Publication


National Bureau Of Standards Miscellaneous Publication
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Author :
language : en
Publisher:
Release Date : 1965

National Bureau Of Standards Miscellaneous Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.




Computer Literature Bibliography 1946 1963


Computer Literature Bibliography 1946 1963
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Author : W. W. Youden
language : en
Publisher:
Release Date : 1965

Computer Literature Bibliography 1946 1963 written by W. W. Youden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Computer science categories.




Combinatorial Methods Of Discrete Programming


Combinatorial Methods Of Discrete Programming
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Author : László Béla Kovács
language : en
Publisher:
Release Date : 1980

Combinatorial Methods Of Discrete Programming written by László Béla Kovács and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.




Computer Literature Bibliography


Computer Literature Bibliography
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1965

Computer Literature Bibliography written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Computers categories.