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The bike sharing rebalancing problem: Mathematical formulations and benchmark instances

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  1. Li, Yanfeng & Szeto, W.Y. & Long, Jiancheng & Shui, C.S., 2016. "A multiple type bike repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 263-278.
  2. Szeto, W.Y. & Shui, C.S., 2018. "Exact loading and unloading strategies for the static multi-vehicle bike repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 176-211.
  3. Nourinejad, Mehdi & Zhu, Sirui & Bahrami, Sina & Roorda, Matthew J., 2015. "Vehicle relocation and staff rebalancing in one-way carsharing systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 98-113.
  4. Wang, Xu & Sun, Huijun & Zhang, Si & Lv, Ying & Li, Tongfei, 2022. "Bike sharing rebalancing problem with variable demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
  5. Carlos M. Vallez & Mario Castro & David Contreras, 2021. "Challenges and Opportunities in Dock-Based Bike-Sharing Rebalancing: A Systematic Review," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
  6. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
  7. Osorio, Jesus & Lei, Chao & Ouyang, Yanfeng, 2021. "Optimal rebalancing and on-board charging of shared electric scooters," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 197-219.
  8. Zhao, Meng & Li, Xiaopeng & Yin, Jiateng & Cui, Jianxun & Yang, Lixing & An, Shi, 2018. "An integrated framework for electric vehicle rebalancing and staff relocation in one-way carsharing systems: Model formulation and Lagrangian relaxation-based solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 542-572.
  9. Roel G. van Anholt & Leandro C. Coelho & Gilbert Laporte & Iris F. A. Vis, 2016. "An Inventory-Routing Problem with Pickups and Deliveries Arising in the Replenishment of Automated Teller Machines," Transportation Science, INFORMS, vol. 50(3), pages 1077-1091, August.
  10. Yang, Yu & Ridouane, Yassine & Boland, Natashia & Erera, Alan & Savelsbergh, Martin, 2022. "Substitution-based equipment balancing in service networks with multiple equipment types," European Journal of Operational Research, Elsevier, vol. 300(3), pages 966-978.
  11. Chang, Ximing & Wu, Jianjun & Sun, Huijun & Correia, Gonçalo Homem de Almeida & Chen, Jianhua, 2021. "Relocating operational and damaged bikes in free-floating systems: A data-driven modeling framework for level of service enhancement," Transportation Research Part A: Policy and Practice, Elsevier, vol. 153(C), pages 235-260.
  12. Linfeng Li & Miyuan Shan & Ying Li & Sheng Liang, 2017. "A Dynamic Programming Model for Operation Decision-Making in Bicycle Sharing Systems under a Sustainable Development Perspective," Sustainability, MDPI, vol. 9(6), pages 1-21, June.
  13. Alvarez-Valdes, Ramon & Belenguer, Jose M. & Benavent, Enrique & Bermudez, Jose D. & Muñoz, Facundo & Vercher, Enriqueta & Verdejo, Francisco, 2016. "Optimizing the level of service quality of a bike-sharing system," Omega, Elsevier, vol. 62(C), pages 163-175.
  14. Erdoğan, Güneş & Battarra, Maria & Wolfler Calvo, Roberto, 2015. "An exact algorithm for the static rebalancing problem arising in bicycle sharing systems," European Journal of Operational Research, Elsevier, vol. 245(3), pages 667-679.
  15. Bahman Lahoorpoor & Hamed Faroqi & Abolghasem Sadeghi-Niaraki & Soo-Mi Choi, 2019. "Spatial Cluster-Based Model for Static Rebalancing Bike Sharing Problem," Sustainability, MDPI, vol. 11(11), pages 1-21, June.
  16. Jiang, Zhoutong & Lei, Chao & Ouyang, Yanfeng, 2020. "Optimal investment and management of shared bikes in a competitive market," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 143-155.
  17. Li, Lili & Li, Xiaohan & Yu, Senbin & Li, Xiaojia & Dai, Jiaqi, 2022. "Unbalanced usage of free-floating bike sharing connecting with metro stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
  18. Huang, Sen & Liu, Kanglin & Zhang, Zhi-Hai, 2023. "Column-and-constraint-generation-based approach to a robust reverse logistic network design for bike sharing," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 90-118.
  19. Wang, Yi-Jia & Kuo, Yong-Hong & Huang, George Q. & Gu, Weihua & Hu, Yaohua, 2022. "Dynamic demand-driven bike station clustering," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
  20. Juan D. Palacio & Juan Carlos Rivera, 2022. "A multi-start evolutionary local search for the one-commodity pickup and delivery traveling salesman problem," Annals of Operations Research, Springer, vol. 316(2), pages 979-1011, September.
  21. Mohammed Elhenawy & Hesham A. Rakha & Youssef Bichiou & Mahmoud Masoud & Sebastien Glaser & Jack Pinnow & Ahmed Stohy, 2021. "A Feasible Solution for Rebalancing Large-Scale Bike Sharing Systems," Sustainability, MDPI, vol. 13(23), pages 1-19, December.
  22. Lv, Chang & Zhang, Chaoyong & Lian, Kunlei & Ren, Yaping & Meng, Leilei, 2020. "A hybrid algorithm for the static bike-sharing re-positioning problem based on an effective clustering strategy," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 1-21.
  23. Muhammad Usama & Yongjun Shen & Onaira Zahoor, 2019. "Towards an Energy Efficient Solution for Bike-Sharing Rebalancing Problems: A Battery Electric Vehicle Scenario," Energies, MDPI, vol. 12(13), pages 1-21, June.
  24. Wagner, Sebastian & Brandt, Tobias & Neumann, Dirk, 2016. "In free float: Developing Business Analytics support for carsharing providers," Omega, Elsevier, vol. 59(PA), pages 4-14.
  25. Jialing Zhao & Hongwei Wang & Yuxin Huang & Yuan Meng, 2020. "Does Massive Placement of Bicycles Win the Market for the Bicycle-Sharing Company in China?," Sustainability, MDPI, vol. 12(13), pages 1-14, June.
  26. Zhang, Ziru & Krishnakumari, Panchamy & Schulte, Frederik & van Oort, Niels, 2023. "Improving the service of E-bike sharing by demand pattern analysis: A data-driven approach," Research in Transportation Economics, Elsevier, vol. 101(C).
  27. Yi-Wen Kuo & Cheng-Hsien Hsieh & Yu-Chen Hung, 2021. "Non-linear characteristics in switching intention to use a docked bike-sharing system," Transportation, Springer, vol. 48(3), pages 1459-1479, June.
  28. Ye Ding & Jiantong Zhang & Jiaqing Sun, 2022. "Branch-and-Price-and-Cut for the Heterogeneous Fleet and Multi-Depot Static Bike Rebalancing Problem with Split Load," Sustainability, MDPI, vol. 14(17), pages 1-24, August.
  29. Guillermo Cabrera-Guerrero & Aníbal Álvarez & Joaquín Vásquez & Pablo A. Maya Duque & Lucas Villavicencio, 2022. "A VNS-Based Matheuristic to Solve the Districting Problem in Bicycle-Sharing Systems," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
  30. Ranran Yang & Ruyin Long, 2016. "Analysis of the Influencing Factors of the Public Willingness to Participate in Public Bicycle Projects and Intervention Strategies—A Case Study of Jiangsu Province, China," Sustainability, MDPI, vol. 8(4), pages 1-16, April.
  31. Bruno P. Bruck & Fábio Cruz & Manuel Iori & Anand Subramanian, 2019. "The Static Bike Sharing Rebalancing Problem with Forbidden Temporary Operations," Transportation Science, INFORMS, vol. 53(3), pages 882-896, May.
  32. Lv, Chang & Zhang, Chaoyong & Lian, Kunlei & Ren, Yaping & Meng, Leilei, 2022. "A two-echelon fuzzy clustering based heuristic for large-scale bike sharing repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 160(C), pages 54-75.
  33. Zhang, J. & Meng, M. & Wang, David, Z.W., 2019. "A dynamic pricing scheme with negative prices in dockless bike sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 201-224.
  34. Yiwei Fan & Gang Wang & Xiaoling Lu & Gaobin Wang, 2019. "Distributed forecasting and ant colony optimization for the bike-sharing rebalancing problem with unserved demands," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-26, December.
  35. Li, Yanfeng & Liu, Yang, 2021. "The static bike rebalancing problem with optimal user incentives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
  36. Zhang, Dong & Yu, Chuhang & Desai, Jitamitra & Lau, H.Y.K. & Srivathsan, Sandeep, 2017. "A time-space network flow approach to dynamic repositioning in bicycle sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 188-207.
  37. Ho, Sin C. & Szeto, W.Y., 2014. "Solving a static repositioning problem in bike-sharing systems using iterated tabu search," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 180-198.
  38. Salazar-González, Juan-José & Santos-Hernández, Beatriz, 2015. "The split-demand one-commodity pickup-and-delivery travelling salesman problem," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 58-73.
  39. Josep Maria Salanova & Georgia Ayfantopoulou & Evripidis Magkos & Ioannis Mallidis & Zisis Maleas & Santhanakrishnan Narayanan & Constantinos Antoniou & Athina Tympakianaki & Ignacio Martin & Jenny Fa, 2022. "Developing a Multilevel Decision Support Tool for Urban Mobility," Sustainability, MDPI, vol. 14(13), pages 1-19, June.
  40. Zheng, Zhiguo & Chen, Yunfeng & Zhu, Debao & Sun, Huijun & Wu, Jianjun & Pan, Xing & Li, Daqing, 2021. "Extreme unbalanced mobility network in bike sharing system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
  41. Gilbert Laporte & Frédéric Meunier & Roberto Wolfler Calvo, 2018. "Shared mobility systems: an updated survey," Annals of Operations Research, Springer, vol. 271(1), pages 105-126, December.
  42. Kowalski, Krzysztof & Lev, Benjamin & Shen, Wenjing & Tu, Yan, 2014. "A fast and simple branching algorithm for solving small scale fixed-charge transportation problem," Operations Research Perspectives, Elsevier, vol. 1(1), pages 1-5.
  43. Hernández-Pérez, Hipólito & Salazar-González, Juan-José, 2022. "A Branch-and-cut algorithm for the split-demand one-commodity pickup-and-delivery travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 297(2), pages 467-483.
  44. Ho, Sin C. & Szeto, W.Y., 2017. "A hybrid large neighborhood search for the static multi-vehicle bike-repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 340-363.
  45. Alain Quilliot & Antoine Sarbinowski & Hélène Toussaint, 2021. "Vehicle driven approaches for non preemptive vehicle relocation with integrated quality criterion in a vehicle sharing system," Annals of Operations Research, Springer, vol. 298(1), pages 445-468, March.
  46. Lin Jia & Xin Liu & Yaqian Liu, 2018. "Impact of Different Stakeholders of Bike-Sharing Industry on Users’ Intention of Civilized Use of Bike-Sharing," Sustainability, MDPI, vol. 10(5), pages 1-26, May.
  47. Kaspi, Mor & Raviv, Tal & Tzur, Michal, 2016. "Detection of unusable bicycles in bike-sharing systems," Omega, Elsevier, vol. 65(C), pages 10-16.
  48. Ouyang, Yanfeng & Yang, Haolin, 2023. "Measurement and mitigation of the “wild goose chase” phenomenon in taxi services," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 217-234.
  49. Zhang, Yuhan & Shao, Yichang & Bi, Hui & Aoyong, Li & Ye, Zhirui, 2023. "Bike-sharing systems rebalancing considering redistribution proportions: A user-based repositioning approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
  50. Daniela Ambrosino & Carmine Cerrone, 2022. "The Cost-Balanced Path Problem: A Mathematical Formulation and Complexity Analysis," Mathematics, MDPI, vol. 10(5), pages 1-13, March.
  51. Liu, Yining & Ouyang, Yanfeng, 2021. "Mobility service design via joint optimization of transit networks and demand-responsive services," Transportation Research Part B: Methodological, Elsevier, vol. 151(C), pages 22-41.
  52. Dell’Amico, Mauro & Iori, Manuel & Novellani, Stefano & Subramanian, Anand, 2018. "The Bike sharing Rebalancing Problem with Stochastic Demands," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 362-380.
  53. Liang Gao & Wei Xu & Yifeng Duan, 2019. "Dynamic Scheduling Based on Predicted Inventory Variation Rate for Public Bicycle System," Sustainability, MDPI, vol. 11(7), pages 1-11, March.
  54. Jie Lyu & Jing Zhang, 2021. "An Empirical Study into Consumer Acceptance of Dockless Bikes Sharing System Based on TAM," Sustainability, MDPI, vol. 13(4), pages 1-16, February.
  55. Yongji Jia & Wang Zeng & Yanting Xing & Dong Yang & Jia Li, 2020. "The Bike-Sharing Rebalancing Problem Considering Multi-Energy Mixed Fleets and Traffic Restrictions," Sustainability, MDPI, vol. 13(1), pages 1-15, December.
  56. Du, Mingyang & Cheng, Lin & Li, Xuefeng & Tang, Fang, 2020. "Static rebalancing optimization with considering the collection of malfunctioning bikes in free-floating bike sharing system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
  57. Bulhões, Teobaldo & Subramanian, Anand & Erdoğan, Güneş & Laporte, Gilbert, 2018. "The static bike relocation problem with multiple vehicles and visits," European Journal of Operational Research, Elsevier, vol. 264(2), pages 508-523.
  58. Bruno Albert Neumann-Saavedra & Teodor Gabriel Crainic & Bernard Gendron & Dirk Christian Mattfeld & Michael Römer, 2020. "Integrating Resource Management in Service Network Design for Bike-Sharing Systems," Transportation Science, INFORMS, vol. 54(5), pages 1251-1271, September.
  59. Lei, Chao & Ouyang, Yanfeng, 2018. "Continuous approximation for demand balancing in solving large-scale one-commodity pickup and delivery problems," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 90-109.
  60. Mahmoud Masoud & Mohammed Elhenawy & Shi Qiang Liu & Mohammed Almannaa & Sebastien Glaser & Wael Alhajyaseen, 2023. "A Simulated Annealing for Optimizing Assignment of E-Scooters to Freelance Chargers," Sustainability, MDPI, vol. 15(3), pages 1-15, January.
  61. Huang, Di & Chen, Xinyuan & Liu, Zhiyuan & Lyu, Cheng & Wang, Shuaian & Chen, Xuewu, 2020. "A static bike repositioning model in a hub-and-spoke network framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
  62. Xu, Dongyang & Li, Kunpeng & Zou, Xuxia & Liu, Ling, 2017. "An unpaired pickup and delivery vehicle routing problem with multi-visit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 218-247.
  63. Maggioni, Francesca & Cagnolari, Matteo & Bertazzi, Luca & Wallace, Stein W., 2019. "Stochastic optimization models for a bike-sharing problem with transshipment," European Journal of Operational Research, Elsevier, vol. 276(1), pages 272-283.
  64. Kuo, Yong-Hong & Leung, Janny M.Y. & Yan, Yimo, 2023. "Public transport for smart cities: Recent innovations and future challenges," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1001-1026.
  65. Xue Bai & Ning Ma & Kwai-Sang Chin, 2022. "Hybrid Heuristic for the Multi-Depot Static Bike Rebalancing and Collection Problem," Mathematics, MDPI, vol. 10(23), pages 1-28, December.
  66. Yi-Wen Kuo & Cheng-Hsien Hsieh & Yu-Chen Hung, 0. "Non-linear characteristics in switching intention to use a docked bike-sharing system," Transportation, Springer, vol. 0, pages 1-21.
  67. Zhang, Haoran & Song, Xuan & Long, Yin & Xia, Tianqi & Fang, Kai & Zheng, Jianqin & Huang, Dou & Shibasaki, Ryosuke & Liang, Yongtu, 2019. "Mobile phone GPS data in urban bicycle-sharing: Layout optimization and emissions reduction analysis," Applied Energy, Elsevier, vol. 242(C), pages 138-147.
  68. Haider, Zulqarnain & Nikolaev, Alexander & Kang, Jee Eun & Kwon, Changhyun, 2018. "Inventory rebalancing through pricing in public bike sharing systems," European Journal of Operational Research, Elsevier, vol. 270(1), pages 103-117.
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