• 1 Department of Statistics, School of Physical Sciences, Shahjalal University of Science and Technology, Sylhet, 3114, Bangladesh
  • 2 Mathematics Section, School of Distance Education, Universiti Sains Malaysia, 11800, USM, Penang, Malaysia
  • 3 School of Mathematical Sciences, Universiti Sains Malaysia, 11800, USM, Penang, Malaysia
PLoS One, 2015;10(7):e0133229.
PMID: 26196124 DOI: 10.1371/journal.pone.0133229


Pedestrian overflow causes queuing delay and in turn, is controlled by the capacity of a facility. Flow control or blocking control takes action to avoid queues from building up to extreme values. Thus, in this paper, the problem of pedestrian flow control in open outdoor walking facilities in equilibrium condition is investigated using M/M/c/K queuing models. State dependent service rate based on speed and density relationship is utilized. The effective rate of the Poisson arrival process to the facility is determined so as there is no overflow of pedestrians. In addition, the use of the state dependent queuing models to the design of the facilities and the effect of pedestrian personal capacity on the design and the traffic congestion are discussed. The study does not validate the sustainability of adaptation of Western design codes for the pedestrian facilities in the countries like Bangladesh.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.