The one-station bike repositioning problem

Fuente: arXiv
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Autores principales: Angelelli, E., Mor, A., Speranza, M. G.
Formato: Preprint
Publicado: 2022
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author Angelelli, E.
Mor, A.
Speranza, M. G.
author_facet Angelelli, E.
Mor, A.
Speranza, M. G.
contents In bike sharing systems the quality of the service to the users strongly depends on the strategy adopted to reposition the bikes. The bike repositioning problem is in general very complex as it involves different interrelated decisions: the routing of the repositioning vehicles, the scheduling of their visits to the stations, the number of bikes to load or unload for each station and for each vehicle that visits the station. In this paper we study the problem of optimally loading/unloading vehicles that visit the same station at given time instants of a finite time horizon. The goal is to minimize the total lost demand of bikes and free stands in the station. We model the problem as a mixed integer linear programming problem and present an optimal algorithm that runs in linear time in the size of the time horizon.
format Preprint
id arxiv_https___arxiv_org_abs_2210_14002
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The one-station bike repositioning problem
Angelelli, E.
Mor, A.
Speranza, M. G.
Optimization and Control
In bike sharing systems the quality of the service to the users strongly depends on the strategy adopted to reposition the bikes. The bike repositioning problem is in general very complex as it involves different interrelated decisions: the routing of the repositioning vehicles, the scheduling of their visits to the stations, the number of bikes to load or unload for each station and for each vehicle that visits the station. In this paper we study the problem of optimally loading/unloading vehicles that visit the same station at given time instants of a finite time horizon. The goal is to minimize the total lost demand of bikes and free stands in the station. We model the problem as a mixed integer linear programming problem and present an optimal algorithm that runs in linear time in the size of the time horizon.
title The one-station bike repositioning problem
topic Optimization and Control
url https://arxiv.org/abs/2210.14002