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Mathematical Modeling of Ride-Hailing Matching Considering Uncertain User and Driver Preferences: Interval-Valued Fuzzy Approach

Author

Listed:
  • Sudradjat Supian

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Subiyanto Subiyanto

    (Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Sisilia Sylviani

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Tubagus Robbi Megantara

    (Doctoral Program in Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia
    Departement of Mathematics, Faculty of Mathematics and Natural Sciences, The National University of the Republic of Indonesia, Bandung 40263, Indonesia)

  • Abdul Talib Bon

    (Department of Production and Operations, Universiti Tun Hussein Onn Malaysia, Parit Raja 86400, Malaysia)

  • Vasile Preda

    (Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania)

Abstract

This study introduces a fuzzy interval-valued approach using multi-objective linear programming to optimize passenger–driver matching in ride-hailing systems, addressing uncertainties in waiting times and fare preferences. The model aims to minimize total waiting times, balance job allocations among drivers, and reduce deviations in fare expectations between passengers and drivers. The proposed framework effectively manages operational uncertainties by incorporating interval-valued fuzzy parameters, including traffic variability and fluctuating demand patterns. Numerical experiments using real-world data demonstrate that the interval-valued fuzzy model significantly outperforms deterministic methods in reducing average waiting times, achieving higher request fulfillment rates, and ensuring a more equitable distribution of assignments among drivers. The results highlight the model’s robustness and adaptability, particularly under high uncertainty scenarios, and its ability to maintain service reliability and user satisfaction. While computational complexity remains a limitation, integrating the model with AI and IoT technologies offers promising avenues for scalability and real-time applications. These findings contribute to advancing optimization frameworks in ride-hailing systems, emphasizing uncertainty management’s importance in enhancing operational efficiency and fairness.

Suggested Citation

  • Sudradjat Supian & Subiyanto Subiyanto & Sisilia Sylviani & Tubagus Robbi Megantara & Abdul Talib Bon & Vasile Preda, 2025. "Mathematical Modeling of Ride-Hailing Matching Considering Uncertain User and Driver Preferences: Interval-Valued Fuzzy Approach," Mathematics, MDPI, vol. 13(3), pages 1-23, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:371-:d:1574754
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Boeing, Geoff, 2017. "OSMnx: New Methods for Acquiring, Constructing, Analyzing, and Visualizing Complex Street Networks," SocArXiv q86sd, Center for Open Science.
    3. Wang, Jun & Wang, Xiaolei & Yang, Shan & Yang, Hai & Zhang, Xiaoning & Gao, Ziyou, 2021. "Predicting the matching probability and the expected ride/shared distance for each dynamic ridepooling order: A mathematical modeling approach," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 125-146.
    4. Chiang, Jershan, 2001. "Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set," European Journal of Operational Research, Elsevier, vol. 129(1), pages 65-86, February.
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