Approximating Earliest Arrival Flows in Arbitrary Networks

@inproceedings{Gro2012ApproximatingEA,
  title={Approximating Earliest Arrival Flows in Arbitrary Networks},
  author={Martin Gro{\ss} and Jan-Philipp W. Kappmeier and Daniel R. Schmidt and Melanie Schmidt},
  booktitle={ESA},
  year={2012}
}
The earliest arrival flow problem is motivated by evacuation planning. It asks for a flow over time in a network with supplies and demands that maximizes the satisfied demands at every point in time. Gale [1959] has shown the existence of such flows for networks with a single source and sink. For multiple sources and a single sink the existence follows from work by Minieka [1973] and an exact algorithm has been presented by Baumann and Skutella [FOCS '06]. If multiple sinks are present, it is… 
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