neal young / Young15Nearly

working paper(2016)We describe the first nearly lineartime approximation algorithms for explicitly given mixed packing/covering linear programs, and for (nonmetric) fractional facility location. We also describe the first parallel algorithms requiring only nearlinear total work and finishing in polylog time. The algorithms compute $(1+\epsilon)$approximate solutions in time (and work) $\tilde O(N/\epsilon^2)$, where $N$ is the number of nonzeros in the constraint matrix. For facility location, $N$ is the number of eligible client/facility pairs.
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