Optimal Linear Ordering
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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.
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).
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.
Optimal Linear Ordering Of Information Items
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Author : Philip McCord Morse
language : en
Publisher:
Release Date : 1971
Optimal Linear Ordering Of Information Items written by Philip McCord Morse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Information storage and retrieval systems 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
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
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.
The Linear Ordering Problem
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Author : Rafael Martí
language : en
Publisher: Springer
Release Date : 2011-01-05
The Linear Ordering Problem written by Rafael Martí and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-05 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.
Generalized Optimal Linear Orders
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Author : Rishi Bommasani
language : en
Publisher:
Release Date : 2020
Generalized Optimal Linear Orders written by Rishi Bommasani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
The sequential structure of language, and the order of words in a sentence specifically, plays a central role in human language processing. Consequently, in designing computational models of language, the de facto approach is to present sentences to machines with the words ordered in the same order as in the original human-authored sentence. The very essence of this work is to question the implicit assumption that this is desirable and inject theoretical soundness into the consideration of word order in natural language processing. In this thesis, we begin by uniting the disparate treatments of word order in cognitive science, psycholinguistics, computational linguistics, and natural language processing under a flexible algorithmic framework. We proceed to use this heterogeneous theoretical foundation as the basis for exploring new word orders with an undercurrent of psycholinguistic optimality. In particular, we focus on notions of dependency length minimization given the difficulties in human and computational language processing in handling long-distance dependencies. We then discuss algorithms for finding optimal word orders efficiently in spite of the combinatorial space of possibilities. We conclude by addressing the implications of these word orders on human language and their downstream impacts when integrated in computational models.