Abstract
We investigate the Bike-Sharing Station Planning Problem (BSSPP). A bike-sharing system consists of a set of rental stations, each with a certain number of parking slots, distributed over a geographical region. Customers can rent available bikes at any station and return them at any other station with free parking slots. The initial decision process where to build stations of which size or how to extend an existing system by new stations and/or changing existing station configurations is crucial as it actually determines the satisfiable customer demand, costs, as well as the rebalancing effort arising by the need to regularly move bikes from some stations tending to run full to stations tending to run empty. We consider as objective the maximization of the satisfied customer demand under budget constraints for fixed and variable costs, including the costs for rebalancing. As bike-sharing stations are usually implemented within larger cities and the potential station locations are manifold, the size of practical instances of the underlying optimization problem is rather large, which makes a manual decision process a hardly comprehensible and understandable task but also a computational optimization very challenging. We therefore propose to state the BSSPP on the basis of a hierarchical clustering of the considered underlying geographical cells with potential customers and possible stations. In this way the estimated existing demand can be more compactly expressed by a relatively sparse weighted graph instead of a complete matrix with mostly small non-zero entries. For this advanced problem formulation we describe an efficient linear programming approach for evaluating candidate solutions, and for solving the problem a first multilevel refinement heuristic based on mixed integer linear programming. Our experiments show that it is possible to approach instances with up to 2000 geographical cells in reasonable computation times.
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References
Chen, J., Chen, X., Jiang, H., Zhu, S., Li, X., Li, Z.: Determining the optimal layout design for public bicycle system within the attractive scope of a metro station. Math. Probl. Eng. Article ID 456013, 8 p. (2015)
Chen, Q., Sun, T.: A model for the layout of bike stations in public bike-sharing systems. J. Adv. Transport. 49(8), 884–900 (2015)
Frade, I., Ribeiro, A.: Bike-sharing stations: a maximal covering location approach. Transport. Res. A-Pol. 82, 216–227 (2015)
Gavalas, D., Konstantopoulos, C., Pantziou, G.: Design & management of vehicle sharing systems: a survey of algorithmic approaches. In: Obaidat, M.S., Nicopolitidis, P. (eds.) Smart Cities and Homes: Key Enabling Technologies, pp. 261–289. Elsevier Science, Amsterdam (2016). Chap. 13
Hu, S.R., Liu, C.T.: An optimal location model for a bicycle sharing program with truck dispatching consideration. In: IEEE 17th International Conference on Intelligent Transportation Systems (ITSC), pp. 1775–1780. IEEE (2014)
Lin, J.R., Yang, T.H.: Strategic design of public bicycle sharing systems with service level constraints. Transport. Res. E-Log. 47(2), 284–294 (2011)
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)
Martinez, L.M., Caetano, L., Eiró, T., Cruz, F.: An optimisation algorithm to establish the location of stations of a mixed fleet biking system: an application to the city of Lisbon. Procedia Soc. Behav. Sci. 54, 513–524 (2012)
Saharidis, G., Fragkogios, A., Zygouri, E.: A multi-periodic optimization modeling approach for the establishment of a bike sharing network: a case study of the city of Athens. In: Proceedings of the International Multi Conference of Engineers and Computer Scientists 2014. LNECS, vol. II, No. 2210, pp. 1226–1231. Newswood Limited (2014)
Walshaw, C.: A multilevel approach to the travelling salesman problem. Oper. Res. 50(5), 862–877 (2002)
Walshaw, C.: Multilevel refinement for combinatorial optimisation problems. Ann. Oper. Res. 131(1), 325–372 (2004)
Yang, T.H., Lin, J.R., Chang, Y.C.: Strategic design of public bicycle sharing systems incorporating with bicycle stocks considerations. In: 40th International Conference on Computers and Industrial Engineering (CIE), pp. 1–6. IEEE (2010)
Acknowledgements
We thank the LOGISTIKUM Steyr, the Austrian Institute of Technology, and Rosinak & Partner for the collaboration on this topic. This work is supported by the Austrian Research Promotion Agency (FFG) under contract 849028.
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Kloimüllner, C., Raidl, G.R. (2017). Hierarchical Clustering and Multilevel Refinement for the Bike-Sharing Station Planning Problem. In: Battiti, R., Kvasov, D., Sergeyev, Y. (eds) Learning and Intelligent Optimization. LION 2017. Lecture Notes in Computer Science(), vol 10556. Springer, Cham. https://doi.org/10.1007/978-3-319-69404-7_11
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DOI: https://doi.org/10.1007/978-3-319-69404-7_11
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