Abstract
Managing a one-way vehicle sharing system means periodically using carriers (trucks, drivers, self-platoon convoys…) in order to move free access vehicles from excess to deficit stations in order to avoid local shortages. Most authors deal with a preemptive version of this problem while considering carrier routes as the master object and focusing on carrier riding costs. We address here a non preemptive version constrained by strong makespan restrictions, which we handle, with the purpose of linking static and on line paradigms, according to a vehicle driven approach which puts vehicle routing strategies at the core of the decisional process.
Similar content being viewed by others
Refferences
Alvarez Valdes, R., Belenguer, J. M., Benavent, E., Bermudez, J. D., Munoz, F., Vercher, F., et al. (2016). Optimizing the quality of a bike sharing system. Omega, 62, 163–175.
Anily, S., Gendreau, M., & Laporte, G. (2011). The uncapacitated swapping problem on line and circle. Networks, 58, 83–94.
Archetti, C., & Speranza, M. (2008). The split delivery vehicle routing problem, a survey. The vehicle routing problem: Latest adances and new challenges (pp. 103–122) Springer.
Archetti, C., Speranza, M., & Hertz, A. (2006). A tabu search algorithm for the split delivery routing problem. Transportation Science, 40, 64–73.
Aronson, J. (1989). A survey on dynamic network flows. Annals of Operations Research, 20, 1–66.
Barth, M., & Todd, M. (1999). Simulation model performance analysis of a multiple station shared vehicle system. Transportation Research C: EmergingTechnologies, 7–4, 237–259.
Benchimol, M., Chappert, B., De Taille, A., Laroche, F., Meunier, F., & Robinet, L. (2011). Balancing the stations of a self service bike hiring systems. RAIRO-Operations Research, 45, 37–61.
Bordenave, C., Gendreau, M., & Laporte, G. (2008a). A branch and cut algorithm for the non preemptive swapping problem. New Research Logistics, 56(4), 478–486.
Bordenave, C., Gendreau, M., & Laporte, G. (2008b). A branch and cut algorithm for the preemptive swapping problem. Networks, 59(4), 387–399.
Boyaci, B., Zografos, K., & Geroliminis, N. (2015). An optimization framework for the development of efficient one-way car-sharing systems. European Journal of Operational Research, 240(3), 718–733.
Caggiani, L., & Ottomanelli, M. (2013). A simulation based model for optimal fleet repositioning in bike-sharing systems. Procedia Social & Behaviour Sciences, 87, 203–210.
Carlier, A. (2016). Ph.D. PARIS VI University, France.
Carlier, A., Munier-Kordon, A., & Klaudel, W. (2015). Mathematical model for relocation strategies in one-way carsharing systems. Transportation Research Procedia, 10, 374–383.
Chemla, D., Meunier, F., & Wolfler-Calvo, R. (2013). Bike sharing systems: Solving the static rebalancing problem. Discrete Optimization, 10(2), 120–146.
Contardo, C., Morency, C., & Rousseau, L. M. (2012). Balancing a dynamic public bike-sharing system. Montreal: Rapport Cirrelt, University.
Cordeau, J. F., & Laporte, G. (2003). A Tabu search heuristic algorithm for the static multi-vehicle Dial and Ride Problem. Transportation Research B, 37, 579–594.
Cornuejols, G., Nemhauser, G. L., & Wolsey, L. A. (1990). The uncapacited facility location problem. In P. B. Mirchandani & R. L. Francis (Eds.), Discrete location theory (pp. 119–171). New York: Wiley.
Cruz, F., Subramanian, A., & Iori, M. (2017). A heuristic algorithm for a single vehicle static bike sharing rebalancing problem. Computer and Operations Research, 97, 9–33.
Dell’Amico, M., Hadjicostantinou, E., Iori, M., & Novellani, S. (2014a). The bike sharing rebalancing problem: Mathematical formulations and benchmark. Omega, 45, 7–19.
Dell’Amico, M., Iori, M., Novellani, S., & Stutzle, T. (2014b). A destroy and repair algorithm for the bike sharing rebalancing problem. Computer and Operations Research, 71, 149–162.
Di Gaspero, L., Rendl, A., & Urli, T. (2013a) Constraint based approaches for balancing bike sharing systems. In Principles in Constraint Programming, LNCS Springer, (Vol. 8124, pp. 758–773).
Di Gaspero, L., Rendl, A., & Urli, T. (2013). A hybrid ACO + CP for balancing bicycle sharing systems. In Hybrid Metaheuristics, LNCS Springer (Vol. 7919, pp 198–212).
Di Gaspero, L., Rendl, A., & Urli, T. (2015). Balancing bike sharing systems with constraint programming. Constraints, 21, 1–31.
Erdogan, G., Battarra, M., & Wolfler-Calvo, R. (2015). An exact algorithm for the static rebalancing problem arising in bicycle sharing systems. European Journal of Operational Research, 245(3), 667–679.
Erdogan, G., Laporte, G., & Wolfler-Calvo, R. (2014). The static bicycle relocation problem with demand intervals. European Journal of Operational Research, 238(2), 451–457.
Forma, I. A., Raviv, T., & Tzur, M. (2015). A 3-step math heuristic for the static repositioning problem in bike-sharing systems. Transportation Research B, 71, 230–247.
Gavalas, D., Konstantopoulos, C., & Pantziou, G. (2015). Design and management of vehicle sharing systems: A survey. ArXiv e-prints, https://arxiv.org/abs/1510.01158.
Ghiani, G., Guerrero, F., & Musmanno, F. (2002). The capacitated plant location problem with multiple facilities in the same site. Computer and Operations Research, 29(13), 1903–1912.
Hansen, P., Brimberg, J., Urosevic, D., & Mladenovic, N. (2007). Primal-dual local search for plant location. INFORMS Journal on Computing, 19(4), 58–72.
Hernandez Perez, H., Rodriguez Martin, I., & Salazar Gonzalez, J. (2009). A hybrid Grasp/vnd heuristic for the one commodity pick up and delivery traveling salesman problem. Computer and Operations Research, 36, 1639–1645.
Hernandez Perez, H., & Salazar Gonzalez, J. (2004). Heuristics for the one commodity pick up and delivery traveling salesman problem. Transportation Sciences, 38, 244–255.
Ho, S. C., & Szeto, W. (2014). Solving a static repositioning problem in bike-sharing systems using iterated tabu search. Transportation Research E, 69, 180–198.
Kek, G. H., Cheu, R. L., Meng, Q., & HaFung, C. (2009). A decision support system for vehicle relocation operations in carsharing. Transportation Research E, 45(1), 149–158.
Kloimullner, C., Papazek, P., & Raidl, G. R. (2014). Balancing bicycle sharing systems: An approach for the dynamic case. In Evolutionnary computation in combinatorial optimization, LNCS Springer (Vol. 7832, pp 73–84).
Kloimullner, C., Papazek, P., Hu, B. & Raidl, G. R. (2015). A cluster first route-second approach for balancing bike-sharing systems. In EUROCAST 2015, LNCS Springer (Vol. 9520, pp. 439–446).
Klose, A., & Drexl, A. (2005). Facility location models for distribution systems. European Journal of Operational Research, 162, 429–449.
Lee, J., & Park, G. L. (2013). Design of a team based relocation scheme in electric vehicle sharing systems. In Proceedings of the international conference on computational sciences & applications (Vol. 7973, pp. 368–377).
Lee, J., Park, G. L., Kang, M. J., Kim, J., Kim, L. K., & Ko, Y. I. (2012). Design of an efficient matching based relocation scheme for electric vehicle sharing systems. In Proceedings of the international conference in Computer Applications for Modeling, Simulation and Automobile (Vol. 341, pp. 109-115).
Mirchandani, P. B., & Francis, R. L. (1990). Discrete location theory. New York: Wiley.
Nourinedjad, M., & Roord, M. J. (2014). A dynamic car sharing decision support system. Transportation Research E, 66, 36–50.
Rainer-Harbach, M., Papazek, P., Hu, B., & Raidl, G. R. (2015). Balancing bicycle sharing systems: A variable neighbourhood approach. Journal of Global Optimization, 63(3), 597–629.
Raviv, T., Tzur, M., & Forma, I. (2013). Static repositioning in a bike sharing system: Models and solution approaches. EURO Journal on Transportation and Logistics, 2(3), 187–229.
Resende, M., & Werneck, R. (2004). Hybrid heuristic for p-median problem. Journal of Heuristics, 10, 59–88.
Sayarsad, H., Tavassoli, S., & Zhao, F. (2012). A multi-periodic optimization formulation for bike planning and bike utilization. Applied Mathematical Modeling, 36(10), 4944–4951.
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.
Shaheen, S. A., Guzman, S., & Zhang, H. (2010). Bike sharing in Europe, the Americas and Asia. Transportation Research Record: Journal Transportation Research Board, 2143(1), 159–167.
Waserhole, A., Jost, V., & Brauner, N. (2012).Vehicle sharing system pricing regulation. http://hal.archivesouvertes.fr/docs/00/82/81/92/PDF/.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Quilliot, A., Sarbinowski, A. & Toussaint, H. Vehicle driven approaches for non preemptive vehicle relocation with integrated quality criterion in a vehicle sharing system. Ann Oper Res 298, 445–468 (2021). https://doi.org/10.1007/s10479-019-03497-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10479-019-03497-4