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A note on maximizing a submodular set function subject to a knapsack constraint. (English) Zbl 1056.90124
Summary: We obtain an (\(1-\text e^{-1}\))-approximation algorithm for maximizing a nondecreasing submodular set function subject to a knapsack constraint. This algorithm requires \(O(n^5)\) function value computations.

MSC:
90C27 Combinatorial optimization
90C59 Approximation methods and heuristics in mathematical programming
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