A basic mathematical model for evacuation problems in urban areas
Real life situations like floods, hurricanes or chemical accidents may cause the evacuation of a certain area to rescue the affected population. To enable a fast and a safe evacuation a basic mixed-integer evacuation model has been developed that provides a reorganization of the traffic routing of a certain area for the case of an evacuation. This basic problem of evacuation minimizes the evacuation-time while prohibiting conflicts within intersections. Our evacuation model is a dynamic network flow problem with additional variables for the number and direction of used lanes and with additional complicating constraints. Because of the size of the time-expanded network, the computational effort required by standard software is already very high for tiny instances. To deal with realistic instances we propose a heuristic approach.
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Volume (Year): 45 (2011)
Issue (Month): 6 (July)
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- L. G. Chalmet & R. L. Francis & P. B. Saunders, 1982. "Network Models for Building Evacuation," Management Science, INFORMS, vol. 28(1), pages 86-105, January.
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- Thomas J Cova & Justin P Johnson, 2002. "Microsimulation of neighborhood evacuations in the urban - wildland interface," Environment and Planning A, Pion Ltd, London, vol. 34(12), pages 2211-2229, December.
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