A model for the facing pedestrian traffic on a passage with a partition line at rush hour is developed. The model is described by a bi-directional cellular automaton (CA) model with four species. The CA model is not stochastic but deterministic. If the passage is congested and the local density is superior to the threshold, walkers to the east and to the west try to move separately changing their lane as the traffic rule is imposed on pedestrians at a high density. Walkers move freely ignoring the partition line at a low density. The traffic-rule effect at rush hour is taken into account in addition to the excluded-volume effect and bi-directionality. The pedestrian behavior under the traffic rule is clarified. © 2011 Elsevier Inc.
Nagatani, T. (2012). Four species CA model for facing pedestrian traffic at rush hour. Applied Mathematical Modelling, 36(2), 702–711. https://doi.org/10.1016/j.apm.2011.07.013