A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem

Qiong Tang · Fu Zhuo · Meng Qiu

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Urban Transport and Accessibility Vehicle Routing Optimization Methods Transportation and Mobility Innovations

Abstract

In this paper, by taking the outsourcing transportation mode into account, a bilevel programming model is proposed to formulate the static bike repositioning (SBR) problem, which can be used to determine the number of bikes loaded and unloaded at each station and the optimal truck routes in bike sharing systems (BSS). The upper-level BSS providers determine the optimal loading and unloading quantities at stations to minimize the total penalties. The lower-level truck owner pursues the minimum transportation route cost. An iterated local search and tabu search are developed to solve the model. Computational tests on a set of instances from 20 to 200 bikes demonstrate the effectiveness of the model and algorithms proposed, together with some insightful findings.

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References

2012Large-Scale Vehicle Sharing Systems: Analysis of Vélib'2018A modeling framework for the dynamic management of free-floating bike-sharing systems 2015Optimizing the level of service quality of a bike-sharing system 2016A time-space network flow approach to dynamic repositioning in bicycle sharing systems 2018Inventory rebalancing through pricing in public bike sharing systems 2012A Modular Soft Computing based Method for Vehicles Repositioning in Bike-sharing Systems 2014A strategic repositioning algorithm for bicycle-sharing schemes

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