応用数理
Online ISSN : 2432-1982
論文
クエリ可能な確率的組合せ最適化問題に対する統一的枠組み
前原 貴憲山口 勇太郎
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ジャーナル フリー

2019 年 29 巻 2 号 p. 2-9

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Many combinatorial problems that arises from real-world applications contain uncertainty in its parameters. The framework called the optimization with queries handles the uncertainty by modeling the parameters drawn from stochastic distributions, and conducting queries to reveal these realized values. The objective of this framework is to obtain high-quality solutions by conducting a small number of queries. In this paper, we introduce a general framework to derive efficient query strategies for packing-type combinatorial optimization problems. The main technique used in our framework is called the witness cover, that is a combination of linear programming duality and counting argument.

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© 2019日本応用数理学会
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