In this paper, we mainly investigate the optimization model that minimizes the cost function such that the cover function exceeds a required threshold in the set cover problem, where the cost function is additive linear, and the cover function is non-monotone approximately submodular. We study the problem under streaming model and propose three bicriteria approximation algorithms. Firstly, we provide an intuitive streaming algorithm under the assumption of known optimal objective value. The intuitive streaming algorithm returns a solution such that its cover function value is no less than

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Year

Open Access
Issue

Tsinghua Science and Technology 2023, 28 (6): 1030-1040

Published: 28 July 2023

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