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An exact algorithm for the static rebalancing problem arising in bicycle sharing systems

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  • Erdoğan, Güneş
  • Battarra, Maria
  • Wolfler Calvo, Roberto

Abstract

Bicycle sharing systems can significantly reduce traffic, pollution, and the need for parking spaces in city centers. One of the keys to success for a bicycle sharing system is the efficiency of rebalancing operations, where the number of bicycles in each station has to be restored to its target value by a truck through pickup and delivery operations. The Static Bicycle Rebalancing Problem aims to determine a minimum cost sequence of stations to be visited by a single vehicle as well as the amount of bicycles to be collected or delivered at each station. Multiple visits to a station are allowed, as well as using stations as temporary storage. This paper presents an exact algorithm for the problem and results of computational tests on benchmark instances from the literature. The computational experiments show that instances with up to 60 stations can be solved to optimality within 2 hours of computing time.

Suggested Citation

  • Erdoğan, Güneş & Battarra, Maria & Wolfler Calvo, Roberto, 2015. "An exact algorithm for the static rebalancing problem arising in bicycle sharing systems," European Journal of Operational Research, Elsevier, vol. 245(3), pages 667-679.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:3:p:667-679
    DOI: 10.1016/j.ejor.2015.03.043
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    References listed on IDEAS

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    1. Erdoğan, Güneş & Laporte, Gilbert & Wolfler Calvo, Roberto, 2014. "The static bicycle relocation problem with demand intervals," European Journal of Operational Research, Elsevier, vol. 238(2), pages 451-457.
    2. Dell'Amico, Mauro & Hadjicostantinou, Eleni & Iori, Manuel & Novellani, Stefano, 2014. "The bike sharing rebalancing problem: Mathematical formulations and benchmark instances," Omega, Elsevier, vol. 45(C), pages 7-19.
    3. Agatz, Niels A.H. & Erera, Alan L. & Savelsbergh, Martin W.P. & Wang, Xing, 2011. "Dynamic ride-sharing: A simulation study in metro Atlanta," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1450-1464.
    4. Smith, Michael S. & Kauermann, Göran, 2011. "Bicycle commuting in Melbourne during the 2000s energy crisis: A semiparametric analysis of intraday volumes," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1846-1862.
    5. Rahul Nair & Elise Miller-Hooks, 2011. "Fleet Management for Vehicle Sharing Operations," Transportation Science, INFORMS, vol. 45(4), pages 524-540, November.
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