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Titlebook: Dynamic Programming Multi-Objective Combinatorial Optimization; Michal Mankowski,Mikhail Moshkov Book 2021 The Editor(s) (if applicable) a

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发表于 2025-3-21 19:24:11 | 显示全部楼层 |阅读模式
书目名称Dynamic Programming Multi-Objective Combinatorial Optimization
编辑Michal Mankowski,Mikhail Moshkov
视频video
概述Considers extensions of dynamic programming for the study of multi-objective combinatorial optimization problems.Proposes a fairly universal approach based on circuits without repetitions in which eac
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Dynamic Programming Multi-Objective Combinatorial Optimization;  Michal Mankowski,Mikhail Moshkov Book 2021 The Editor(s) (if applicable) a
描述This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model..As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem..The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses..
出版日期Book 2021
关键词Multi-objective Combinatorial Optimization; Dynamic Programming; Circuits; Matrix Chain Multiplication;
版次1
doihttps://doi.org/10.1007/978-3-030-63920-4
isbn_softcover978-3-030-63922-8
isbn_ebook978-3-030-63920-4Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 22:34:04 | 显示全部楼层
Circuits and Cost Functionsoptimization (a set of feasible solutions) from one-element sets attached to input nodes using the operation of union of sets attached to unifying nodes and functional operations attached to functional nodes. The cost function corresponds a real number (a cost) to each element. Our goal is to minimi
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Circuits and Cost Functionsoptimization (a set of feasible solutions) from one-element sets attached to input nodes using the operation of union of sets attached to unifying nodes and functional operations attached to functional nodes. The cost function corresponds a real number (a cost) to each element. Our goal is to minimize the cost.
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Global Sequence Alignmentnces by the minimum number of removals, insertions, and substitutions of symbols required to obtain one sequence from the another. The solution to the sequence alignment problem helps to identify biological similarities in long sequences of DNA, RNA, and proteins.
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