Abstract
In bike sharing systems, a vehicle fleet rebalances the system by continuously moving bikes among stations in order to avoid rental stations to run entirely empty or full. We address the static problem variant assuming initial fill levels for each station and seek vehicle tours with corresponding loading instructions to reach given target fill levels as far as possible. Our primary objective is to minimize the absolute deviation between target and final fill levels for all rental stations. Building upon a previously suggested GRASP hybrid, we investigate different approaches for hybridizing them with Path Relinking (PR) and simpler recombination operators. Computational tests on benchmark instances derived from a real world scenario in Vienna give insight on the impacts of the PR and recombination techniques and manifest that certain PR extension improve the results significantly. Ultimately, a hybrid exclusively searching a partial PR path in the neighborhood of the guiding solutions turns out to be most fruitful.
This work is supported by the Austrian Research Promotion Agency (FFG), contract 831740. The authors thank Citybike Wien, the Austrian Institute of Technology (AIT), and Energie und Umweltagentur Niederösterreich (eNu) for the collaboration in this project.
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References
DeMaio, P.: Bike-sharing: History, impacts, models of provision, and future. Public Transportation 12(4), 41–56 (2009)
Rainer-Harbach, M., Papazek, P., Hu, B., Raidl, G.R.: Balancing bicycle sharing systems: A variable neighborhood search approach. In: Middendorf, M., Blum, C. (eds.) EvoCOP 2013. LNCS, vol. 7832, pp. 121–132. Springer, Heidelberg (2013)
Chemla, D., Meunier, F., Calvo, R.W.: Bike sharing systems: Solving the static rebalancing problem. Discrete Optimization 10(2), 120–146 (2013)
Raviv, T., Tzur, M., Forma, I.A.: Static repositioning in a bike-sharing system: models and solution approaches. EURO Journal on Transp. and Log., 1–43 (2013)
Benchimol, M., Benchimol, P., Chappert, B., De la Taille, A., Laroche, F., Meunier, F., Robinet, L.: Balancing the stations of a self service bike hire system. RAIRO – Operations Research 45(1), 37–61 (2011)
Schuijbroek, J., Hampshire, R., van Hoeve, W.J.: Inventory Rebalancing and Vehicle Routing in Bike Sharing Systems. Technical Report 2013-E1, Tepper School of Business, Carnegie Mellon University (2013)
Papazek, P., Raidl, G.R., Rainer-Harbach, M., Hu, B.: A PILOT/VND/GRASP hybrid for the static balancing of public bicycle sharing systems. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds.) EUROCAST. LNCS, vol. 8111, pp. 372–379. Springer, Heidelberg (2013)
Rainer-Harbach, M., Papazek, P., Hu, B., Raidl, G.R.: PILOT, GRASP, and VNS approaches for the static balancing of bicycle sharing systems. Journal of Global Optimization (2013), doi:10.1007/s10898-014-0147-5
Di Gaspero, L., Rendl, A., Urli, T.: A hybrid ACO+CP for balancing bicycle sharing systems. In: Blesa, M.J., Blum, C., Festa, P., Roli, A., Sampels, M. (eds.) HM 2013. LNCS, vol. 7919, pp. 198–212. Springer, Heidelberg (2013)
Di Gaspero, L., Rendl, A., Urli, T.: Constraint-based approaches for balancing bike sharing systems. In: Schulte, C. (ed.) CP 2013. LNCS, vol. 8124, pp. 758–773. Springer, Heidelberg (2013)
Contardo, C., Morency, C., Rousseau, L.M.: Balancing a dynamic public bike-sharing system. Technical Report CIRRELT-2012-09, Montreal, Canada (2012)
Kloimüllner, C., Papazek, P., Hu, B., Raidl, G.R.: Balancing bicycle sharing systems: An approach for the dynamic case. In: Evolutionary Computation in Combinatorial Optimization, 12 p. (to appear, 2014)
Lin, J.R., Yang, T.H., Chang, Y.C.: A hub location inventory model for bicycle sharing system design: Formulation and solution. Computers & Industrial Engineering 65(1), 77–86 (2013)
Nair, R., Miller-Hooks, E., Hampshire, R.C., Bušić, A.: Large-scale vehicle sharing systems: Analysis of Vélib’. Int. Journal of Sustain. Transp. 7(1), 85–106 (2013)
Voß, S., Fink, A., Duin, C.: Looking ahead with the PILOT method. Annals of Operations Research 136, 285–302 (2005)
Mladenović, N., Hansen, P.: Variable neighborhood search. Computers and Operations Research 24(11), 1097–1100 (1997)
Resende, M., Ribeiro, C.: Greedy randomized adaptive search procedures. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics, pp. 219–249. Kluwer Academic Publishers (2003)
Glover, F., Laguna, M., Marti, R.: Fundamentals of scatter search and path relinking. Control and Cybernetics 29(3), 653–684 (2000)
Ho, S.C., Grendreau, M.: Path relinking for the vehicle routing problem. Heuristics 12(1-2), 55–72 (2006)
Rahimi-Vahed, A., Crainic, T., Gendreau, M., Rei, W.: A path relinking algorithm for a multi-depot periodic vehicle routing problem. Heuristics 19(3), 497–524 (2013)
Festa, P., Resende, M.G.C.: Hybridizations of GRASP with path-relinking. In: Talbi, E.-G. (ed.) Hybrid Metaheuristics. SCI, vol. 434, pp. 139–159. Springer, Heidelberg (2013)
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Papazek, P., Kloimüllner, C., Hu, B., Raidl, G.R. (2014). Balancing Bicycle Sharing Systems: An Analysis of Path Relinking and Recombination within a GRASP Hybrid. In: Bartz-Beielstein, T., Branke, J., Filipič, B., Smith, J. (eds) Parallel Problem Solving from Nature – PPSN XIII. PPSN 2014. Lecture Notes in Computer Science, vol 8672. Springer, Cham. https://doi.org/10.1007/978-3-319-10762-2_78
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DOI: https://doi.org/10.1007/978-3-319-10762-2_78
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