Akiyasu Tomoeda

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Received Abstract 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(More)
Cellular Automaton (CA) is a new and suitable approach to model various kinds of SDP systems, such as vehicular traffic, pedestrian dynamics, and logistics. Especially, the advantages of CA modeling approach are follows; (1) CA models can explicitly consider the exclusion principle, which is an essential factor of SDP system. (2) Some of CA models, e.g.(More)
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