Bicriteria streaming algorithms to balance gain and cost with cardinality constraint

Yijing Wang (), Dachuan Xu (), Donglei Du () and Yanjun Jiang ()
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Yijing Wang: Beijing University of Technology
Dachuan Xu: Beijing University of Technology
Donglei Du: University of New Brunswick
Yanjun Jiang: Ludong University

Journal of Combinatorial Optimization, 2022, vol. 44, issue 4, No 40, 2946-2962

Abstract: Abstract Team formation plays an essential role in the labor market. In this paper, we propose two bicriteria algorithms to construct a balance between gain and cost in a team formation problem under the streaming model, subject to a cardinality constraint. We formulate the problem as maximizing the difference of a non-negative normalized monotone submodular function and a non-negative linear function. As an extension, we also consider the case where the first function is $$\gamma $$ γ -weakly submodular. Combining the greedy technique with the threshold method, we present bicriteria streaming algorithms and give detailed analysis for both of these models. Our analysis is competitive with that in Ene’s work.

Keywords: Streaming algorithm; Approximately submodular; Linear function; Bicriteria (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10878-021-00827-w

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