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

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

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Article ID: iaor20043325
Country: Netherlands
Volume: 32
Issue: 1
Start Page Number: 41
End Page Number: 43
Publication Date: Jan 2004
Journal: Operations Research Letters
Authors:
Keywords: combinatorial analysis
Abstract:

In this paper, we obtain an (1-e-1)-approximation algorithm for maximizing a nondecreasing submodular set function subject to a knapsack constraint. This algorithm requires O(n5) function value computations.

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