Flow location (FlowLoc) problems: dynamic network flows and location models for evacuation planning

Horst Hamacher (), Stephanie Heller () and Benjamin Rupp ()

Annals of Operations Research, 2013, vol. 207, issue 1, 180 pages

Abstract: In this paper we combine two modeling tools to predict and evaluate evacuation plans: (dynamic) network flows and locational analysis. We present three exact algorithms to solve the single facility version 1-FlowLoc of this problem and compare their running times. After proving the $\mathcal{NP}$ -completeness of the multi facility q-FlowLoc problem, a mixed integer programming formulation and a heuristic for q-FlowLoc are proposed. The paper is concluded by discussing some generalizations of the FlowLoc problem, such as the multi-terminal problem, interdiction problem, the parametric problem and the generalization of the FlowLoc problem to matroids. Copyright Springer Science+Business Media, LLC 2013

Keywords: Location theory; (Dynamic) network flows; Evacuation planning; Matroids; Multi-terminal flows (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10479-011-0953-9

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