2022 Fiscal Year Final Research Report
Studies on Queueing Models Incorporating Time-Inhomogeneity and Finite Reception Period
| Project/Area Number |
18K18007
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 60020:Mathematical informatics-related
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| Research Institution | Osaka University |
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Principal Investigator |
Inoue Yoshiaki 大阪大学, 大学院工学研究科, 准教授 (40779914)
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| Project Period (FY) |
2018-04-01 – 2023-03-31
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| Keywords | 待ち行列理論 |
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| Outline of Final Research Achievements |
In this study, analytical methods for queuing models that represent systems providing services to people, such as hospitals, municipal offices, student cafeterias, and airports were considered. A specific feature of such systems is that the rate of arrivals varies depending on the time, and in many cases, the reception period is finite. Unlike traditional approaches that essentially rely on the approximation of discretizing the time axis, this study has established a methodology to numerically handle continuous-time systems directly by introducing a new class of models that are suitable for numerical calculations while being versatile.
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| Free Research Field |
待ち行列理論
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| Academic Significance and Societal Importance of the Research Achievements |
通常の待ち行列モデルではシステムへの利用要求の到着の性質が時間的に不変であることを仮定した上で，非常に長い時間経過したときの平均的な系の振る舞いを考察しているが，このようなモデルは，病院や空港といった，人が利用するサービスシステムには必ずしも適合しないという問題点がある．到着の性質が時間に依存する待ち行列については過去にも研究があるが，時間依存性に対する表現方法が必ずしも柔軟でないという課題があった，本研究は，新しい時間依存性を表す方法として新しいアプローチを導入し，このような待ち行列モデルの分析法を学術的に進展させたものである．
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