A basic mathematical model for evacuation problems in urban areas

S. Bretschneider and A. Kimms

Transportation Research Part A: Policy and Practice, 2011, vol. 45, issue 6, 523-539

Abstract: 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.

Keywords: Evacuation; LP-based; heuristic; Mathematical; programming (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (14)

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