Excluded volume effect in queueing theory
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概要
- 論文の詳細を見る
We have introduced excluded volume effect, which is an important factor to model a realistic pedestrian queue, into queueing theory. The probability distributions of pedestrian number and pedestrian waiting time in a queue have been calculated exactly. Due to time needed to close up the queue, the mean number of pedestrians increases as pedestrian arrival probability ($\lambda$) and leaving probability ($\mu$) increase even if the ratio between them (i.e., $\rho=\lambda/\mu$) remains constant. Furthermore, at a given $\rho$, the mean waiting time does not increase monotonically with the service time (which is inverse to $\mu$), a minimum could be reached instead.
- The Japan Society for Industrial and Applied Mathematicsの論文
著者
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Nishinari Katsuhiro
Department Of Aeronautics Faculty Of Engineering The University Of Tokyo
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Jiang Rui
School of Engineering Science, University of Science and Technology of China
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Yanagisawa Daichi
Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo
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Tomoeda Akiyasu
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University
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Nishinari Katsuhiro
Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo
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