Abstract:We generalize the fractional packing framework of Garg and Koenemann [17] to the case of linear fractional packing problems over polyhedral cones. More precisely, we provide approximation algorithms for problems of the form max{c T x : Ax b, x ∈ C}, where the matrix A contains no negative entries and C is a cone that is generated by a finite set S of non-negative vectors. While the cone is allowed to require an exponential-sized representation, we assume that we can access it via one of three types of oracles… Show more
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