Abstract
This paper is motivated by designing bike sharing systems that flourish in many large cities. Such systems should locate bike stations allowing users to pick up and drop off bicycles. Considering the interests of both station investors and bike users, we propose an optimization model for determining the locations of bike stations at two levels, and solve it in polynomial time of a randomized approximation algorithm with expected approximation ratio 3.
Supported in part by NNSF of China under Grant No.11901544, No. 11531014, and No.11971349.
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References
Aardal, K.I., Chudak, F., Shmoys, D.B.: A 3-approximation algorithm for the k-level uncapacitated facility location problem. Inf. Process. Lett. 72, 161–167 (1999)
Chudak, F.A., Shmoys, D.B.: Improved approximation algorithms for the uncapacitated facility location problem. SIAM J. Comput. 33, 1–25 (2003)
Chudak, F.A., Williamson, D.P.: Improved approximation algorithms for the capacitated facility location problem. Math. Program. 102(2), 207–222 (2005)
Gavalas, D., Konstantopoulos, C., Pantziou, G.: Design and management of vehicle-sharing systems: a survey of algorithmic approaches. In: Smart Cities and Homes, pp. 261–289 (2016)
Li, S.: A 1.488 approximation algorithm for the uncapacitated facility location problem. Inf. Comput. 222, 45–58 (2013)
Lin, J.R., Yang, T.H., Chang, Y.C.: A hub location inventory model for bicycle sharing system design: formulation and solution. Comput. Ind. Eng. 65(1), 77–86 (2013)
Midgley, P.: Bicycle-sharing schemes: enhancing sustainable mobility in urban areas. In: Back ground Paper No. 8, CSD19/2011/BP8, Commission on Sustainable Development, Department of Economic and Social Affairs. United Nations (2011)
Dell’Amico, M., Hadjicostantinou, E., Iori, M., Novellani, S.: The bike sharing rebalancing problem: mathematical formulations and benchmark instances. Omega 45(2), 7–19 (2014)
Quilliot, A., Sarbinowski, A.: Facility location models for vehicle sharing systems. In: Computer Science and Information Systems IEEE (2016)
Shaheen, S., Guzman, S., Zhang, H.: Bike sharing in Europe, the Americas, and Asia: past, present, and future. Transp. Res. Rec. 2143, 159–167 (2010)
Shmoys, D.B., Tardös, É, Aardal, K.I.: Approximation algorithms for facility location problems. In: Proceedings of the 29th Annual ACM Symposium on Theory of Computing, pp. 265–274 (1997)
Wu, C., Xu, D.: An improved approximation algorithm for the \(k\)-level facility location problem with soft capacities. Acta Math. Applicatae Sinica-English Ser. 11(33), 1015–1024 (2017)
Zhang, J., Pan, X., Li, M., Yu, P.S.: Bicycle-sharing systems expansion: station re-deployment through crowd planning. In: ACM Sigspatial International Conference on Advances in Geographic Information Systems, vol. 2 (2016)
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Wang, F., Hu, X., Wu, C. (2020). 2-Level Station Location for Bike Sharing. In: Zhang, Z., Li, W., Du, DZ. (eds) Algorithmic Aspects in Information and Management. AAIM 2020. Lecture Notes in Computer Science(), vol 12290. Springer, Cham. https://doi.org/10.1007/978-3-030-57602-8_10
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DOI: https://doi.org/10.1007/978-3-030-57602-8_10
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