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Bicriteria streaming algorithms to balance gain and cost with cardinality constraint

Author

Listed:
  • Yijing Wang

    (Beijing University of Technology)

  • Dachuan Xu

    (Beijing University of Technology)

  • Donglei Du

    (University of New Brunswick)

  • Yanjun Jiang

    (Ludong University)

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.

Suggested Citation

  • Yijing Wang & Dachuan Xu & Donglei Du & Yanjun Jiang, 2022. "Bicriteria streaming algorithms to balance gain and cost with cardinality constraint," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2946-2962, November.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:4:d:10.1007_s10878-021-00827-w
    DOI: 10.1007/s10878-021-00827-w
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    References listed on IDEAS

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    1. Maxim Sviridenko & Jan Vondrák & Justin Ward, 2017. "Optimal Approximation for Submodular and Supermodular Optimization with Bounded Curvature," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1197-1218, November.
    2. Yijing Wang & Dachuan Xu & Yishui Wang & Dongmei Zhang, 2020. "Non-submodular maximization on massive data streams," Journal of Global Optimization, Springer, vol. 76(4), pages 729-743, April.
    3. Suning Gong & Qingqin Nong & Wenjing Liu & Qizhi Fang, 2019. "Parametric monotone function maximization with matroid constraints," Journal of Global Optimization, Springer, vol. 75(3), pages 833-849, November.
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