Title :
Theoretical and experimental study on excluded volume effect in pedestrian queue
Author :
Yanagisawa, Daichi ; Tanaka, Yuki ; Jiang, Rui ; Tomoeda, Akiyasu ; Ohtsuka, Kazumichi ; Suma, Yushi ; Nishinari, Katsuhiro
Author_Institution :
Dept. of Aeronaut. & Astronaut., Univ. of Tokyo, Tokyo, Japan
Abstract :
We have introduced excluded volume effect, which is a significant factor to model a realistic pedestrian queue, into queueing theory. The model has been exactly solved. Concretely, probability distributions and means of the number of waiting pedestrians, length of a queue, and waiting time, have been derived. Due to the excluded volume effect, the process of closing up and interval distance between pedestrians are included in our new model, so that it becomes more realistic than previous model and has reproduced the results of our queueing experiment.
Keywords :
probability; queueing theory; traffic engineering computing; interval distance; pedestrian queue; probability distributions; queueing experiment; queueing theory; volume effect; Delay; Equations; Mathematical model; Probability distribution; Queueing analysis; Solid modeling; Stationary state; Asymmetric Simple Exclusion Process; Cellular Automata; Pedestrian Dynamics; Queueing Theory;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8
