Mathematical Understanding of a Starting-Wave in a Queue to Practice of Eliminating Congestion
Project/Area Number |
25790099
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Computational science
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Research Institution | Musashino University (2014-2017) Meiji University (2013) |
Principal Investigator |
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Project Period (FY) |
2013-04-01 – 2018-03-31
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Project Status |
Completed (Fiscal Year 2017)
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Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 渋滞学 / 待ち行列 / 発進波 / セルオートマトン / 交通エントロピー / 分岐解析 / 追従モデル / 反応遅れ / 圧縮性流体 |
Outline of Final Research Achievements |
The keyword of eliminating traffic congestion is "slow-in fast-out". In principle, traffic jams can be shortened by slowly approaching the traffic queue and taking action to quickly get out of the queue. In this research, using the stochastic cellular automaton as the fundamental mathematical model and explicitly incorporating the spatial structure (excluded volume effect) inside the traffic queue which has not been considered in the conventional queuing theory. We have revealed the characteristics of the starting-wave (the chain of reaction). Specifically, the propagation speed of the starting-wave can be characterized by a power function of the density, and in the case where the propagation speed is slow, it is found that the queue is smoothly eliminated by moving from an optimal headway distance.
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Report
(6 results)
Research Products
(64 results)
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[Presentation] 渋滞学と形状最適化2014
Author(s)
友枝明保
Organizer
連続体のトポロジー最適化理論の現実問題への応用
Place of Presentation
京都大学数理解析研究所
Year and Date
2014-05-07 – 2014-05-09
Related Report
Invited
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