2011 Fiscal Year Final Research Report
Study on congestion and optimal control for fluid networks of queues
| Project/Area Number |
21510165
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Social systems engineering/Safety system
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
SAKUMA Yutaka 東京理科大学, 理工学部, 助教 (00434027)
KOBAYASHI Masahiro 東京理科大学, 理工学部, 助教 (90609356)
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| Project Period (FY) |
2009 – 2011
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| Keywords | OR / 待ち行列ネットワーク / 反射型多次元確率過程 / 稀少確率の漸近理論 |
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| Research Abstract |
This research aims to elucidate congestion mechanism of queueing networks with large numbers of customers and to establish theoretical basics for their optimal design and operations. For this, we described the network systems by reflecting processes(of diffusion and random walk) on multidimensional nonnegative orthants, and studied the tail asymptotics of their stationary distributions. In particular, we have obtained those tail asymptotics for the two dimensional reflecting processes, and apply the solutions to the optimal design and operations.
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