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A PTAS for Non-Adaptive Stochastic Top-$k$ Sum under General Combinatorial Constraints

Liu, Yu
arXiv (All) · Papers
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computational-complexitydata-structures-and-algorithms
We study non-adaptive selection of a feasible set $S$ that maximizes the expected sum of the $k$ largest realized values among independent nonnegative discrete random variables. The same objective arises in team hiring and as VCG welfare in an $\ell$-unit auction. The main setting is a fixed-dimensi
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