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The Robust Bike sharing Rebalancing Problem: Formulations and a branch-and-cut algorithm

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Author(s):
Bruck, Bruno P. ; Coutinho, Walton P. ; Munari, Pedro
Total Authors: 3
Document type: Journal article
Source: European Journal of Operational Research; v. 325, n. 1, p. 14-pg., 2025-04-28.
Abstract

Bike Sharing Systems (BSSs) offer a sustainable and efficient urban transportation solution, bringing flexible and eco-friendly alternatives to city logistics. During their operation, BSSs may suffer from unbalanced bike distribution among stations, requiring rebalancing operations throughout the system. The inherent uncertain demand at the stations further complicates these rebalancing operations, even when performed during downtime. This paper addresses this challenge by introducing the Robust Bike Sharing Rebalancing Problem (RBRP), which relies on Robust Optimization techniques to promote better decisions in rebalancing operations in BSSs. Very few studies have considered uncertainty in this context, despite it being a common characteristic with a significant impact on the performance of the system. We present two new formulations and a tailored branch-and-cut algorithm for the RBRP. The first formulation is compact and based on the linearization of recursive equations, while the second is based on robust rounded capacity inequalities and feasibility cuts. Computational results based on benchmark instances indicate the effectiveness of our approaches to face uncertain demand in rebalancing operations and highlight the benefits of using robust solutions to support decision-making in this context. (AU)

FAPESP's process: 22/05803-3 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/23596-2 - Rich vehicle routing problems: models and algorithms for deterministic and stochastic variants
Grantee:Pedro Augusto Munari Junior
Support Opportunities: Regular Research Grants
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC