2017 Fiscal Year Final Research Report
Distributed Fixed Point Subgradient Methods for Solving Large-scale, Complicated Network Resource Allocation Problems
| Project/Area Number |
15K04763
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Computational science
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| Research Institution | Meiji University |
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Principal Investigator |
IIDUKA HIDEAKI 明治大学, 理工学部, 専任准教授 (50532280)
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| Research Collaborator |
HISHINUMA Kazuhiro
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | ネットワーク資源割り当て / 分散最適化 / 不動点 / 凸最適化 / 非拡大写像 |
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| Outline of Final Research Achievements |
We formulated large-scale, complicated network resource allocation problems as a distributed optimization problem over fixed point sets of nonexpansive mappings and devised acceleration methods for solving the problem. We showed that the methods converge to a solution to the problem under certain assumptions. We numerically compared the proposed methods with the conventional ones. The numerical experiments demonstrated the effectiveness and optimality of the proposed methods.
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| Free Research Field |
最適化理論
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