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

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 sha...

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Main Authors: Qiong Tang, Zhuo Fu, Meng Qiu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2019/8641492
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author Qiong Tang
Zhuo Fu
Meng Qiu
author_facet Qiong Tang
Zhuo Fu
Meng Qiu
author_sort Qiong Tang
collection DOAJ
description 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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institution OA Journals
issn 0197-6729
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publishDate 2019-01-01
publisher Wiley
record_format Article
series Journal of Advanced Transportation
spelling doaj-art-da55341370fa4ec996a24a449ea3739c2025-08-20T02:21:25ZengWileyJournal of Advanced Transportation0197-67292042-31952019-01-01201910.1155/2019/86414928641492A Bilevel Programming Model and Algorithm for the Static Bike Repositioning ProblemQiong Tang0Zhuo Fu1Meng Qiu2School of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaIn 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.http://dx.doi.org/10.1155/2019/8641492
spellingShingle Qiong Tang
Zhuo Fu
Meng Qiu
A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
Journal of Advanced Transportation
title A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
title_full A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
title_fullStr A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
title_full_unstemmed A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
title_short A Bilevel Programming Model and Algorithm for the Static Bike Repositioning Problem
title_sort bilevel programming model and algorithm for the static bike repositioning problem
url http://dx.doi.org/10.1155/2019/8641492
work_keys_str_mv AT qiongtang abilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem
AT zhuofu abilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem
AT mengqiu abilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem
AT qiongtang bilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem
AT zhuofu bilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem
AT mengqiu bilevelprogrammingmodelandalgorithmforthestaticbikerepositioningproblem