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Bike rebalancing: How to find a balanced matching in the k center problem?

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  • Gan, Jinxiang
  • Zhang, Guochuan
  • Zhang, Yuhao

Abstract

In the bike-sharing system, inspired by the problem proposed by O’Mahony and Shmoys (AAAI 2015), we present a new model called the balanced k center problem with matching constraints. Given a network containing the same number of two types of points, supply points and demand points, we aim to allocate k (supply) centers for supply points, and k (demand) centers for demand points. The k supply centers should be perfectly matched with the k demand centers, within an allowed distance. The goal is to minimize the maximum distance from each supply (or demand) point to its closest supply (or demand) centers.

Suggested Citation

  • Gan, Jinxiang & Zhang, Guochuan & Zhang, Yuhao, 2024. "Bike rebalancing: How to find a balanced matching in the k center problem?," European Journal of Operational Research, Elsevier, vol. 316(3), pages 845-855.
    • Handle: RePEc:eee:ejores:v:316:y:2024:i:3:p:845-855
    DOI: 10.1016/j.ejor.2024.03.009
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    References listed on IDEAS

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