2012 Fiscal Year Final Research Report
Asymptotic analysis of correlated queues and its application to performance evaluation of some networks
| Project/Area Number |
22510142
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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 Institute of Technology |
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Principal Investigator |
MIYOSHI Naoto 東京工業大学, 大学院・情報理工学研究科, 教授 (20263121)
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| Project Period (FY) |
2010 – 2012
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| Keywords | OR / 確率モデル / 待ち行列 / ネットワーク |
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| Research Abstract |
In this work, we introduced quasi-renewal equations for nonrenewal one-dimensional stationary point processes and derived the limit theorems for those equations. Besides, for the applications to performance evaluation of some networks, we asymptotically evaluated the degree distribution of random graphs, which are constructed from spatial marked point processes, and investigated the asymptotic property of coverage probability for spatial point process model of cellular networks.
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