TY - JOUR PY - 2015// TI - An M/M/c/K state-dependent model for pedestrian flow control and design of facilities JO - PLoS one A1 - Rahman, Khalidur A1 - Abdul Ghani, Noraida A1 - Kamil, Anton Abdulbasah A1 - Mustafa, Adli A1 - Chowdhury, Md Ahmed Kabir SP - e0133229 EP - e0133229 VL - 10 IS - 7 N2 - 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.
Language: en
LA - en SN - 1932-6203 UR - http://dx.doi.org/10.1371/journal.pone.0133229 ID - ref1 ER -