Influence of Spreading Hazardous Material in Macroscopic Evacuation Dynamics: A Proof of Concept
In this article, an evacuation model describing the egress in case of danger is considered. The underlying evacuation model is based on continuous network flows, while the spread of some gaseous hazardous material relies on an advection–diffusion equation. A proof of concept shows differences to the usually used macroscopic evacuation models.
KeywordsEvacuation Dynamic network flows Optimization
S. Ruzika is partially supported by BMBF, Project REPKA, FKZ 13N9961 (TU KL). S. Kühn and J.P. Ohst are supported by Stiftung Rheinland-Pfalz für Innovation, Project EvaC, FKZ 989.
- 1.H. W. Hamacher and S. A. Tjandra, “Mathematical modelling of evacuation problems - a state of the art,” in Pedestrian and Evacuation Dynamics, M. Schreckenberger and S. D. Sharma, Eds., Berlin, Springer, 2002, pp. 227–266.Google Scholar
- 4.G. M. Coclite, M. Garavello and B. Piccoli, “Traffic flow on a road network,” SIAM Journal on Mathematical Analysis, no. 36, pp. 1862–1886, 2005.Google Scholar
- 7.S. Göttlich, S. Kühn, J. P. Ohst, S. Ruzika and M. Thiemann, “Evacuation dynamics influenced by spreading hazardous material,” Networks and Heterogeneous Media, vol. 6, no. 3, p. 443, September 2011.Google Scholar