A VNS-Based Matheuristic to Solve the Districting Problem in Bicycle-Sharing Systems

Guillermo Cabrera-Guerrero, Aníbal Álvarez, Joaquín Vásquez, Pablo A. Maya Duque, Lucas Villavicencio

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A matheuristic approach that combines a reduced variable neighbourhood search (rVNS) algorithm and a mathematical programming (MP) solver to solve a novel model for the districting problem in a public bicycle-sharing system is presented. The problem is modelled as an integer programming problem. While the rVNS algorithm aims to find a high-quality set of centres for the repositioning zones, the MP solver computes the optimal allocation network of the stations to the centres of the repositioning zones. We use a predefined grid to reduce the search space the rVNS needs to explore. The proposed approach obtains promising results for small and medium-sized instances, and is also able to handle large-sized models.

Original languageEnglish
Article number4175
Issue number22
StatePublished - Nov 2022


  • balancing strategy
  • bicycle-sharing system
  • demand zone
  • mathematical programming
  • repositioning zone
  • variable neighbourhood search


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