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A note on maximizing a submodular set function subject to a knapsack constraint

M. Sviridenko

2004 · DOI: 10.1016/S0167-6377(03)00062-2
Operations Research Letters · 709 Citations

TLDR

An (1-e^-^1)-approximation algorithm for maximizing a nondecreasing submodular set function subject to a knapsack constraint is obtained and requires O(n^5) function value computations.