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An M/M/c/K State-Dependent Model for Pedestrian Flow Control and Design of Facilities

Author

Listed:
  • Khalidur Rahman
  • Noraida Abdul Ghani
  • Anton Abdulbasah Kamil
  • Adli Mustafa
  • Md Ahmed Kabir Chowdhury

Abstract

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.

Suggested Citation

  • Khalidur Rahman & Noraida Abdul Ghani & Anton Abdulbasah Kamil & Adli Mustafa & Md Ahmed Kabir Chowdhury, 2015. "An M/M/c/K State-Dependent Model for Pedestrian Flow Control and Design of Facilities," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-23, July.
    • Handle: RePEc:plo:pone00:0133229
    DOI: 10.1371/journal.pone.0133229
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