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 |  |
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 |
doi | https://doi.org/10.1007/978-3-030-63920-4 |
isbn_softcover | 978-3-030-63922-8 |
isbn_ebook | 978-3-030-63920-4Series ISSN 2198-4182 Series E-ISSN 2198-4190 |
issn_series | 2198-4182 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |