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A constructive algorithm for max-min paths problems on energy networks

delete2008-10-01
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PRE
AI
D
Dmitrii Lozovanu *
S
Stefan Pickl
DOI:10.1016/j.amc.2008.05.083delete
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摘要

摘要

En 中文
Max-min paths problems on energy networks are the main center of interest of this article. They typically arose as an auxiliary problem within the study of a special class of discrete min-max control models and within so-called cyclic games. These two classes generalize the well-known combinatorial problem of the shortest and the longest paths in a weighted directed graph. A constructive algorithm for determining the tree of max-min paths in these special networks is proposed. Furthermore, we apply it as a new approach to the solution of special zero value cyclic games. Such a class is not too restrictive. Furthermore we refer to more general models which are very close to real-world examples. (C) 2008 Elsevier Inc. All rights reserved.
Keyword:
Max-min path
Positional games
c-Game on energy networks

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

Academy of Sciences of Moldova 封面图
Academy of Sciences of Moldova
学者数:
377
论文数: 266
被引数: 225
B
bundeswehr university munich
学者数:
1.4K
论文数: 1.2K
被引数: 0
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