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

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 نشر من قبل Neal E. Young
 تاريخ النشر 2013
  مجال البحث الهندسة المعلوماتية
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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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