# Analysis of the greedy approach in problems of maximum k‐coverage

@article{Hochbaum1998AnalysisOT, title={Analysis of the greedy approach in problems of maximum k‐coverage}, author={Dorit S. Hochbaum and Anu Pathria}, journal={Naval Research Logistics}, year={1998}, volume={45}, pages={615-627} }

In this paper, we consider a general covering problem in which k subsets are to be selected such that their union covers as large a weight of objects from a universal set of elements as possible. Each subset selected must satisfy some structural constraints. We analyze the quality of a k-stage covering algorithm that relies, at each stage, on greedily selecting a subset that gives maximum improvement in terms of overall coverage. We show that such greedily constructed solutions are guaranteed…

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