Summary
We present the Kinetic Model (KM) as an alternative to combat the computational barrier posed by state-of-the-art evacuation modeling and simulation approaches. Instead of tracing individual agents, the KM simulates a coarse measure, namely the local occupant density. The two-phased approach tracks two distinct kinds of traffic, namely individual motion in “rarefied” (i.e. non-congested) regions and vacancies left by individual motion in “dense” (i.e. congested) regions. The dynamics of the phase boundary is governed by the balance of individuals moving from the “rarefied” region and vacancies moving from the “dense” regions across the boundary, making the approach intrinsically computationally efficient. The paper presents the theoretical formulation of the KM and comparisons of the model predictions of occupancy during evacuation with that from higher fidelity ABM. The KM computations are nearly 3 orders of magnitude faster than the ABM simulations with minimal degradation of prediction accuracy.
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References
M. Owen, E.R. Galea, and P.J. Lawrence. The exodus evacuation model applied to building evacuation scenarios. Journal of Fire Protection Engineering, Vol. 8, No. 2, pp. 65–84, 1996.
A. Schadschneider. Cellular automaton approach to pedestrian dynamics—theory, in M. Schreckenberg and S. Sharma (Eds.), Pedestrian and Evacuation Dynamics. Springer, Berlin, 2002.
D. Helbing and P. Molnar. Social force model for pedestrian dynamics, Physics Review E, Vol. 51, pp. 4282–4287, 1995.
S. Hoogendoorn and P. Bovy. Gas-kinetic modeling and simulation of pedestrian flows, Transportation Research Record, Vol. 1710, pp. 28–36, 2000.
Y. Lin, I. Fedchenia, R. LaBarre, and R. Tomastik. Agent-based simulation of evacuation: an office building case study, in Pedestrian and Evacuation Dynamics 2008. Springer, Berlin, 2010.
R. Tomastik, S. Narayanan, A. Banaszuk, and S. Meyn. Model-based real-time estimation of building occupancy during emergency egress, in Pedestrian and Evacuation Dynamics 2008. Springer, Berlin, 2010.
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Burlatsky, S., Atrazhev, V., Erikhman, N., Narayanan, S. (2010). A Novel Kinetic Model to Simulate Evacuation Dynamics. In: Klingsch, W., Rogsch, C., Schadschneider, A., Schreckenberg, M. (eds) Pedestrian and Evacuation Dynamics 2008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04504-2_56
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DOI: https://doi.org/10.1007/978-3-642-04504-2_56
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