The Max Static K-Sinks Location Problem
DOI:
https://doi.org/10.3126/ijorn.v10i1.54730Keywords:
Network flow, static flow, shelter location, multiple sinksAbstract
The maximum static flow problem sends a maximum amount of flow from a set of sources to a set of
sinks in a network with multiple sources and multiple sinks. Because of cost or other constraints, e.g.
in evacuation planning, only a limited number of sinks may have to be chosen. To address such an
issue, we consider a problem of choosing a set of at most a given number of sinks from a given set of
possible sinks T as a Max Static k-sinks problem. We present a non-polynomial time algorithm to solve
it and show that (T – 1)-sinks problem can be solved in a strongly polynomial time
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