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Titlebook: Programming in Networks and Graphs; On the Combinatorial Ulrich Derigs Book 1988 Springer-Verlag Berlin Heidelberg 1988 algorithms.combinat

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書目名稱Programming in Networks and Graphs
副標題On the Combinatorial
編輯Ulrich Derigs
視頻videohttp://file.papertrans.cn/761/760181/760181.mp4
叢書名稱Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Programming in Networks and Graphs; On the Combinatorial Ulrich Derigs Book 1988 Springer-Verlag Berlin Heidelberg 1988 algorithms.combinat
描述Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed. These algorithms are usually classified as primal, dual, primal-dual etc. The question the author addresses in this work is that of the existence of a common combinatorial principle which might be inherent in all those apparently different approaches. It is shown that all common network flow and matching algorithms implicitly follow the so-called shortest augmenting path. This can be interpreted as a greedy-like decision rule where the optimal solution is built up through a sequence of local optimal solutions. The efficiency of this approach is realized by combining this myopic decision rule with an anticipant organization. The approach of this work is organized as follows. For several standard flow and matching problems the common solution procedures are first reviewed. It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule. Recognizing this near-equivalence of all commonly used algorith
出版日期Book 1988
關鍵詞algorithms; combinatorial optimization; efficiency; linear optimization; optimization
版次1
doihttps://doi.org/10.1007/978-3-642-51713-6
isbn_softcover978-3-540-18969-5
isbn_ebook978-3-642-51713-6Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1988
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書目名稱Programming in Networks and Graphs影響因子(影響力)




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