@article{ref1,
title="The static bike rebalancing problem with optimal user incentives",
journal="Transportation research part E: logistics and transportation review",
year="2021",
author="Li, Yanfeng and Liu, Yang",
volume="146",
number="",
pages="e102216-e102216",
abstract="A static bike rebalancing problem with optimal user incentives is investigated. The problem is formulated as a mixed-integer nonlinear and nonconvex programming model to minimize the total cost, including the travel costs, unbalanced penalties, and incentive costs. We reformulate the mixed-integer program and develop a new outer-approximation method to obtain its global ε-optimal solutions. We also propose a bi-level variable neighborhood search algorithm to solve large problems. The results tested on small examples reveal problem properties and the performance of the outer-approximation method. The results tested on large examples show that the bi-level algorithm can provide high-quality solutions with short computational times.<p /> <p>Language: en</p>",
language="en",
issn="1366-5545",
doi="10.1016/j.tre.2020.102216",
url="http://dx.doi.org/10.1016/j.tre.2020.102216"
}