| Project/Area Number |
23740068
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The University of Tokyo |
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Principal Investigator |
HIRAI Hiroshi 東京大学, 情報理工学系研究科, 講師 (20378962)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 施設配置問題 / 多品種流 / ネットワークデザイン / メトリック / 劣モジュラ関数 / 離散凸関数 |
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| Research Abstract |
The main result of this research project is to complete the classification of graphs G for which multifacility location problem (minimum 0-extension problem) on G is polynomial time solvable. In the proof, we introduced discrete convex functions on a class of graphs, and opened up new research direction "discrete convexity for multiflow and facility locations." This is an important step toward a unified theory for multiflow, facility location, and network design, which was the goal of this research project.
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