neal young / Young15Nearly

  • working paper(2016)
    publication/Young15Nearly.png We describe the first nearly linear-time approximation algorithms for explicitly given mixed packing/covering linear programs, and for (non-metric) fractional facility location. We also describe the first parallel algorithms requiring only near-linear 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 non-zeros in the constraint matrix. For facility location, \(N\) is the number of eligible client/facility pairs.

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