Optimising a mathematical model for a multi-sized public bicycle sharing system considering built-in control centres under fuzzy demand, a case study

References

• Abazari, S. R., Aghsami, A., & Rabbani, M. (2020). Prepositioning and distributing relief items in humanitarian logistics with uncertain parameters. Socio-Economic Planning Sciences, 74(2021), 1–17. https://doi.org/10.1016/j.seps.2020.100933.
   Web of Science ®Google Scholar
• Abolhassani, L., Afghari, A. P., & Borzadaran, H. M. (2019). Public preferences towards bicycle sharing system in developing countries: The case of Mashhad, Iran. Sustainable Cities and Society, 44, 763–773. https://doi.org/10.1016/j.scs.2018.10.032
   Web of Science ®Google Scholar
• Abualigah, L., & Diabat, A. (2020). A comprehensive survey of the grasshopper optimization algorithm: Results, variants, and applications. Neural Computing and Applications, 32, 15533–15556. https://doi.org/10.1007/s00521-020-04789-8
   Web of Science ®Google Scholar
• Alvarez-Valdes, R., Belenguer, J. M., Benavent, E., Bermudez, J. D., Muñoz, F., Vercher, E., & Verdejo, F. (2016). Optimizing the level of service quality of a bike-sharing system. Omega, 62, 163–175.
   Google Scholar
• Askari, E. A., & Bashiri, M. (2017). Design of a public bicycle-sharing system with safety. Computational and Applied Mathematics, 36(2), 1023–1041. https://doi.org/10.1007/s40314-015-0278-4
   Google Scholar
• Awasthi, A., & Omrani, H. (2019). A goal-oriented approach based on fuzzy axiomatic design for sustainable mobility project selection. International Journal of Systems Science: Operations & Logistics, 6(1), 86–98. https://doi.org/10.1080/23302674.2018.1435834
   Google Scholar
• Cao, J. X., Xue, C. C., Jian, M. Y., & Yao, X. R. (2019). Research on the station location problem for public bicycle systems under dynamic demand. Computers & Industrial Engineering, 127, 971–980. https://doi.org/10.1016/j.cie.2018.11.028
   Web of Science ®Google Scholar
• Chemla, D., Meunier, F., & Calvo, R. W. (2013). Bike sharing systems: Solving the static rebalancing problem. Discrete Optimization, 10(2), 120–146. https://doi.org/10.1016/j.disopt.2012.11.005
   Web of Science ®Google Scholar
• Conrow, L., Murray, A. T., & Fischer, H. A. (2018). An optimization approach for equitable bicycle share station siting. Journal of Transport Geography, 69, 163–170. https://doi.org/10.1016/j.jtrangeo.2018.04.023
   Web of Science ®Google Scholar
• Çelebi, D., Yörüsün, A., & Işık, H. (2018). Bicycle sharing system design with capacity allocations. Transportation Research Part B: Methodological, 114, 86–98. https://doi.org/10.1016/j.trb.2018.05.018
   Web of Science ®Google Scholar
• Dell’Amico, M., Iori, M., Novellani, S., & Subramanian, A. (2018). The bike sharing rebalancing problem with stochastic demands. Transportation Research Part B: Methodological, 118, 362–380. https://doi.org/10.1016/j.trb.2018.10.015
   Web of Science ®Google Scholar
• DeMaio, P. (2009). Bike-sharing: History, impacts, models of provision, and future. Journal of Public Transportation, 12(4), 41–56. https://doi.org/10.5038/2375-0901.12.4.3
   Google Scholar
• DeMaio, P., & Gifford, J. (2004). Will smart bikes succeed as public transportation in the United States? Journal of Public Transportation, 7(2), 1–15. https://doi.org/10.5038/2375-0901.7.2.1
   Google Scholar
• Dutzik, T., & Baxandall, P. (2013). A new direction: Our changing relationship with driving and the implications for America’s future.
   Google Scholar
• Faghih-Imani, A., Anowar, S., Miller, E. J., & Eluru, N. (2017). Hail a cab or ride a bike? A travel time comparison of taxi and bicycle-sharing systems in New York city. Transportation Research Part A: Policy and Practice, 101, 11–21. https://doi.org/10.1016/j.tra.2017.05.006
   Web of Science ®Google Scholar
• Fishman, E., Washington, S., & Haworth, N. (2013). Bike share: A synthesis of the literature. Transport Reviews, 33(2), 148–165. https://doi.org/10.1080/01441647.2013.775612
   Web of Science ®Google Scholar
• Fournier, N., Christofa, E., & Knodler Jr, M. A. (2017). A sinusoidal model for seasonal bicycle demand estimation. Transportation Research Part D: Transport and Environment, 50, 154–169. https://doi.org/10.1016/j.trd.2016.10.021
   Web of Science ®Google Scholar
• Frade, I., & Ribeiro, A. (2015). Bike-sharing stations: A maximal covering location approach. Transportation Research Part A: Policy and Practice, 82, 216–227. https://doi.org/10.1016/j.tra.2015.09.014
   Web of Science ®Google Scholar
• Götschi, T., Garrard, J., & Giles-Corti, B. (2016). Cycling as a part of daily life: A review of health perspectives. Transport Reviews, 36(1), 45–71. https://doi.org/10.1080/01441647.2015.1057877
   Web of Science ®Google Scholar
• Kadri, A. A., Kacem, I., & Labadi, K. (2016). A branch-and-bound algorithm for solving the static rebalancing problem in bicycle-sharing systems. Computers & Industrial Engineering, 95, 41–52. https://doi.org/10.1016/j.cie.2016.02.002
   Web of Science ®Google Scholar
• Lai, Y.-J., & Hwang, C.-L. (1994). Fuzzy multiple objective decision making. In Fuzzy multiple objective decision making. Lecture Notes in Economics and Mathematical Systems (Vol. 404). Springer. https://doi.org/10.1007/978-3-642-57949-3_3
   Google Scholar
• Lin, J.-R., & Yang, T.-H. (2011). Strategic design of public bicycle sharing systems with service level constraints. Transportation Research Part E: Logistics and Transportation Review, 47(2), 284–294. https://doi.org/10.1016/j.tre.2010.09.004
   Web of Science ®Google Scholar
• Lin, J.-R., Yang, T.-H., & Chang, Y.-C. (2013). A hub location inventory model for bicycle sharing system design: Formulation and solution. Computers & Industrial Engineering, 65(1), 77–86. https://doi.org/10.1016/j.cie.2011.12.006
   Web of Science ®Google Scholar
• Luo, J., Chen, H., Xu, Y., Huang, H., & Zhao, X. (2018). An improved grasshopper optimization algorithm with application to financial stress prediction. Applied Mathematical Modelling, 64, 654–668. https://doi.org/10.1016/j.apm.2018.07.044
   Web of Science ®Google Scholar
• Martinez, L. M., Caetano, L., Eiró, T., & Cruz, F. (2012). An optimisation algorithm to establish the location of stations of a mixed fleet biking system: An application to the city of Lisbon. Procedia-Social and Behavioral Sciences, 54, 513–524. https://doi.org/10.1016/j.sbspro.2012.09.769
   Google Scholar
• Mattson, J., & Godavarthy, R. (2017). Bike share in fargo, north dakota: Keys to success and factors affecting ridership. Sustainable Cities and Society, 34, 174–182. https://doi.org/10.1016/j.scs.2017.07.001
   Web of Science ®Google Scholar
• Meddin, R., & DeMaio, P. (2015). The bike-sharing world map. URL http://www. bikesharingworld. com.
   Google Scholar
• Midgley, P. (2011). Bicycle-sharing schemes: Enhancing sustainable mobility in urban areas. United Nations, Department of Economic and Social Affairs, 8, 1–12.
   Google Scholar
• Negahban, A. (2019). Simulation-based estimation of the real demand in bike-sharing systems in the presence of censoring. European Journal of Operational Research, 277(1), 317–332. https://doi.org/10.1016/j.ejor.2019.02.013
   Web of Science ®Google Scholar
• Rabbani, M., Hosseini-Mokhallesun, S. A. A., Ordibazar, A. H., & Farrokhi-Asl, H. (2020). A hybrid robust possibilistic approach for a sustainable supply chain location-allocation network design. International Journal of Systems Science: Operations & Logistics, 7(1), 60–75. https://doi.org/10.1080/23302674.2018.1506061
   Google Scholar
• Raviv, T., & Kolka, O. (2013). Optimal inventory management of a bike-sharing station. IIE Transactions, 45(10), 1077–1093. https://doi.org/10.1080/0740817X.2013.770186
   Web of Science ®Google Scholar
• Saremi, S., Mirjalili, S., & Lewis, A. (2017). Grasshopper optimisation algorithm: Theory and application. Advances in Engineering Software, 105, 30–47. https://doi.org/10.1016/j.advengsoft.2017.01.004
   Web of Science ®Google Scholar
• Sato, H., Miwa, T., & Morikawa, T. (2015). A study on use and location of community cycle stations. Research in Transportation Economics, 53, 13–19. https://doi.org/10.1016/j.retrec.2015.10.015
   Web of Science ®Google Scholar
• Sayyadi, R., & Awasthi, A. (2018). A simulation-based optimisation approach for identifying key determinants for sustainable transportation planning. International Journal of Systems Science: Operations & Logistics, 5(2), 161–174. https://doi.org/10.1080/23302674.2016.1244301
   Google Scholar
• Schuijbroek, J., Hampshire, R. C., & Van Hoeve, W.-J. (2017). Inventory rebalancing and vehicle routing in bike sharing systems. European Journal of Operational Research, 257(3), 992–1004. https://doi.org/10.1016/j.ejor.2016.08.029
   Web of Science ®Google Scholar
• Shu, J., Chou, M. C., Liu, Q., Teo, C.-P., & Wang, I.-L. (2013). Models for effective deployment and redistribution of bicycles within public bicycle-sharing systems. Operations Research, 61(6), 1346–1359. https://doi.org/10.1287/opre.2013.1215
   Web of Science ®Google Scholar
• Si, H., Shi, J.-g., Tang, D., Wu, G., & Lan, J. (2020). Understanding intention and behavior toward sustainable usage of bike sharing by extending the theory of planned behavior. Resources, Conservation and Recycling, 152, 104513. https://doi.org/10.1016/j.resconrec.2019.104513
   Web of Science ®Google Scholar
• Si, H., Shi, J.-g., Wu, G., Chen, J., & Zhao, X. (2018). Mapping the bike sharing research published from 2010 to 2018: A scientometric review. Journal of Cleaner Production, 213, 415–427. https://doi.org/10.1016/j.jclepro.2018.12.157.
   Web of Science ®Google Scholar
• Soriguera, F., & Jiménez-Meroño, E. (2020). A continuous approximation model for the optimal design of public bike-sharing systems. Sustainable Cities and Society, 52, 101826. https://doi.org/10.1016/j.scs.2019.101826
   Web of Science ®Google Scholar
• Vogel, P., Greiser, T., & Mattfeld, D. C. (2011). Understanding bike-sharing systems using data mining: Exploring activity patterns. Procedia-Social and Behavioral Sciences, 20, 514–523. https://doi.org/10.1016/j.sbspro.2011.08.058
   Google Scholar
• Yan, S., Lin, J.-R., Chen, Y.-C., & Xie, F.-R. (2017). Rental bike location and allocation under stochastic demands. Computers & Industrial Engineering, 107, 1–11. https://doi.org/10.1016/j.cie.2017.02.018
   Web of Science ®Google Scholar
• Yong, N., Changjiang, Z., & Rui, L. (2017). Study on location of public bicycle rental points based on ni-level programming model [J]. Journal of East China Jiaotong University, 34(3), 46–52.
   Google Scholar
• Yuan, M., Zhang, Q., Wang, B., Liang, Y., & Zhang, H. (2019). A mixed integer linear programming model for optimal planning of bicycle sharing systems: A case study in Beijing. Sustainable Cities and Society, 47, 101515. https://doi.org/10.1016/j.scs.2019.101515
   Web of Science ®Google Scholar
• Zarrinmehr, A., Meshkani, M., & Seyedabrishami, S. (2018). Surveillance camera location problem for route-flow observation in urban transportation networks: Bi-level formulation and solution algorithm. International Journal of Systems Science: Operations & Logistics, 5(4), 327–338. https://doi.org/10.1080/23302674.2017.1309085
   Google Scholar