Optimal Linear Arrangement And Optimal Linear Ordering
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Optimal Linear Arrangement And Optimal Linear Ordering
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Author : D. Adolphson
language : en
Publisher:
Release Date : 1974
Optimal Linear Arrangement And Optimal Linear Ordering written by D. Adolphson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Linear orderings categories.
Consider a set of n pins and a required number of wire connections between each pair of the pins. The problem is to put the n pins into n holes such that the total wire length is a minimum. The holes are all in a line with adjacent holes at unit distance apart. The authors can abstract the pins and wire connections as a graph G with n nodes and numbers associated with the arcs. For an arbitrary G, a lower bound is established on the total wire length. If G is a rooted tree, an algorithm is presented which requires O(n log n) operations. (Modified author abstract).
Contributions To The Minimum Linear Arrangement Problem
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Author : Hanna Seitz
language : en
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
Release Date : 2010
Contributions To The Minimum Linear Arrangement Problem written by Hanna Seitz and has been published by Sudwestdeutscher Verlag Fur Hochschulschriften AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The Minimum Linear Arrangement problem consists in finding an ordering of the nodes of a weighted graph, such that the sum of the weighted edge lengths is minimized. We report on the usefulness of a new model within a branch-and-cut-and-price algorithm for solving Minimum Linear Arrangement problems to optimality. The key idea is to introduce binary variables d_{ijk}, that are equal to 1 if nodes i and j have distance k in the permutation. We present formulations for complete and for sparse graphs and explain the realization of a branch-and-cut-and-price algorithm. Furthermore, its different settings are discussed and evaluated. To the study of the theoretical aspects concerning the Minimum Linear Arrangement problem, we contribute a characterization of a relaxation of the corresponding polyeder.
Optimal Linear Ordering
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Author : Donald Lee Adolphson
language : en
Publisher:
Release Date : 1973
Optimal Linear Ordering written by Donald Lee Adolphson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
The Optimal Linear Arrangement Problem
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Author : Steven B. Horton
language : en
Publisher:
Release Date : 1997
The Optimal Linear Arrangement Problem written by Steven B. Horton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Algorithms categories.
Linear And Combinatorial Optimization In Ordered Algebraic Structures
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26
Linear And Combinatorial Optimization In Ordered Algebraic Structures written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
Linear and Combinatorial Optimization in Ordered Algebraic Structures
The Linear Ordering Problem
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Author : Rafael Martí
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-03
The Linear Ordering Problem written by Rafael Martí 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 2011-01-03 with Computers categories.
Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.
The Linear Ordering Problem
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Author : Gerhard Reinelt
language : en
Publisher:
Release Date : 1985
The Linear Ordering Problem written by Gerhard Reinelt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Linear Orderings
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Author :
language : en
Publisher: Academic Press
Release Date : 1982-06-01
Linear Orderings written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-06-01 with Mathematics categories.
Linear Orderings
Exact And Heuristic Methods In Combinatorial Optimization
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Author : Rafael Martí
language : en
Publisher: Springer Nature
Release Date : 2022-03-09
Exact And Heuristic Methods In Combinatorial Optimization written by Rafael Martí and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-09 with Computers categories.
In the last decades, algorithmic advances as well as hardware and software improvements have provided an excellent environment to create and develop solving methods to hard optimization problems. Modern exact and heuristic techniques are dramatically enhancing our ability to solve significant practical problems. This monograph sets out state-of-the-art methodologies for solving combinatorial optimization problems, illustrating them with two well-known problems. This second edition of the book extends the first one by adding to the ‘linear ordering problem’ (LOP), included in the first edition, the ‘maximum diversity problem’ (MDP). In this way, we provide the reader with the background, elements and strategies to tackle a wide range of different combinatorial optimization problems. The exact and heuristic techniques outlined in these pages can be put to use in any number of combinatorial optimization problems. While the authors employ the LOP and the MDP to illustrate cutting-edge optimization technologies, the book is also a tutorial on how to design effective and successful implementations of exact and heuristic procedures alike. This monograph provides the basic principles and fundamental ideas that will enable students and practitioners to create valuable applications based on both exact and heuristic technologies. Specifically, it is aimed at engineers, scientists, operations researchers, and other applications specialists who are looking for the most appropriate and recent optimization tools to solve particular problems. The book provides a broad spectrum of advances in search strategies with a focus on its algorithmic and computational aspects.
Approximation And Online Algorithms
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Author : Evripidis Bampis
language : en
Publisher: Springer
Release Date : 2015-04-22
Approximation And Online Algorithms written by Evripidis Bampis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Computers categories.
This book constitutes the thoroughly refereed post-workshop proceedings of the 12th International Workshop on Approximation and Online Algorithms, WAOA 2014, held in Wrocław, Poland, in September 2014 as part of ALGO 2014. The 22 revised full papers presented were carefully reviewed and selected from 49 submissions. They cover a wide range of topics such as coloring and partitioning, competitive analysis, network design, packing and covering, paradigms for design and analysis of approximation and online algorithms, randomization techniques, real-world applications, and scheduling problems.