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arXiv · 0801.1987

A Nearly Linear-Time PTAS for Explicit Fractional Packing and Covering Linear Programs

Christos Koufogiannakis·Neal E. Young
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Abstract

We give an approximation algorithm for packing and covering linear programs (linear programs with non-negative coefficients). Given a constraint matrix with n non-zeros, r rows, and c columns, the algorithm computes feasible primal and dual solutions whose costs are within a factor of 1+eps of the optimal cost in time O((r+c)log(n)/eps^2 + n).

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Christos Koufogiannakis, Neal E. Young. 2013-03-13. A Nearly Linear-Time PTAS for Explicit Fractional Packing and Covering Linear Programs. https://doi.org/10.1007/s00453-013-9771-6

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