Restricted Pedestrian Flow Performance Measures during Egress from a Complex Facility

In this paper, we use an M/G/C/C state dependent queuing model within a complex network topology to determine the different performance measures for pedestrian traffic flow. The occupants in this network topology need to go through some source corridors, from which they can choose their suitable exiting corridors. The performance measures were calculated using arrival rates that maximize the throughputs of source corridors. In order to increase the throughput of the network, the result indicates that the flow direction of pedestrian through the corridors has to be restricted and the arrival rates to the source corridor need to be controlled.

Authors:

• Luthful A. Kawsar
• Noraida A. Ghani
• Anton A. Kamil
• Adli Mustafa

Keywords:

• Arrival rate
• Multiple arrival sources
• Probability of blocking
• State dependent queuing networks
• Throughput.

References:

[1] R. Jain, J.M. Smith, "Modelling vehicular traffic flow using M/G/C/C
state dependent queuing models," Transportation Science 31(1997) 324-
336.
[2] S.J. Yuhaski, J.M. Smith, "Modeling circulation systems in buildings
using state dependent models," Queueing Systems 4(1989) 319-338.
[3] F.R.B. Cruz, J. MacGregor Smith, R.O. Medeiros, "An M/G/C/C statedependent
network simulation model," Computers & Operations
Research 32(2005) 919-941.
[4] F.R.B. Cruz, J. MacGregor Smith, "Approximate analysis of M/G/c/c
state-dependent queueing networks," Computers & Operations Research
34(2007) 2332-2344.
[5] D.H. Mitchell, J.M. Smith, "Topological network design of pedestrian
networks," Transportation Research Part B 35(2001) 107-135.
[6] J.M. Smith, "State dependent queueing models in emergency evacuation
networks," Transportation Research Part B 25(1991) 373-389.
[7] P. Tregenza, The design of interior circulation, Van Nostrand Reinhold,
New York, 1976.
[8] J.J. Fruin, Pedestrian Planning and Design, Metropolitan Association of
Urban Designers and Environmental Planners, Inc., New York, 1971.
[9] J. Cheah, State dependent queueing models, Master's Thesis, University
of Massachusetts, 1990.