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Queueing analysis of a Car/Ride-Share system

Author

Listed:
  • Ayane Nakamura

    (University of Tsukuba)

  • Tuan Phung-Duc

    (University of Tsukuba)

  • Hiroyasu Ando

    (Tohoku University)

Abstract

In this paper, we propose Car/Ride-Share (CRS), which is a new transportation service aiming at reducing the uneven distribution of cars in traditional carsharing service. The proposed service might be used as an alternative for buses in the case of congestion. In our model a car will depart from a bus stop at a university to a train station if there are a certain number of passengers (m) at the university who want to go to the station and one demand (e.g., a group of passengers) from the station to the university. The car will be taken over by the demand at the station and thus no parking lot is needed. We model the CRS service between the university and the train station by queueing model and analyze it using a GI/M/1-type Markov chain. Based on the analysis, we are able to find the optimal value of m which realizes the same mean waiting time while minimizing the operating cost of CRS. We also consider a price mechanism problem which gives a win-win solution for both passengers and CRS owners.

Suggested Citation

  • Ayane Nakamura & Tuan Phung-Duc & Hiroyasu Ando, 2022. "Queueing analysis of a Car/Ride-Share system," Annals of Operations Research, Springer, vol. 310(2), pages 661-682, March.
    • Handle: RePEc:spr:annopr:v:310:y:2022:i:2:d:10.1007_s10479-021-04313-8
    DOI: 10.1007/s10479-021-04313-8
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    References listed on IDEAS

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    1. Kostas Bimpikis & Ozan Candogan & Daniela Saban, 2019. "Spatial Pricing in Ride-Sharing Networks," Operations Research, INFORMS, vol. 67(3), pages 744-769, May.
    2. Juho Hamari & Mimmi Sjöklint & Antti Ukkonen, 2016. "The sharing economy: Why people participate in collaborative consumption," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 67(9), pages 2047-2059, September.
    3. Boyacı, Burak & Zografos, Konstantinos G. & Geroliminis, Nikolas, 2017. "An integrated optimization-simulation framework for vehicle and personnel relocations of electric carsharing systems with reservations," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 214-237.
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    5. Agatz, Niels & Erera, Alan & Savelsbergh, Martin & Wang, Xing, 2012. "Optimization for dynamic ride-sharing: A review," European Journal of Operational Research, Elsevier, vol. 223(2), pages 295-303.
    6. Enzi, Miriam & Parragh, Sophie N. & Pisinger, David & Prandtstetter, Matthias, 2021. "Modeling and solving the multimodal car- and ride-sharing problem," European Journal of Operational Research, Elsevier, vol. 293(1), pages 290-303.
    7. Daganzo, Carlos F. & Ouyang, Yanfeng, 2019. "A general model of demand-responsive transportation services: From taxi to ridesharing to dial-a-ride," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 213-224.
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    Cited by:

    1. Yusei Koyama & Ayane Nakamura & Tuan Phung-Duc, 2024. "Sojourn Time Analysis of a Single-Server Queue with Single- and Batch-Service Customers," Mathematics, MDPI, vol. 12(18), pages 1-27, September.
    2. Sergei Dudin & Olga Dudina, 2023. "Analysis of a Multi-Server Queue with Group Service and Service Time Dependent on the Size of a Group as a Model of a Delivery System," Mathematics, MDPI, vol. 11(22), pages 1-20, November.

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