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Stochastic Poisson game for an online decentralized and coordinated parking mechanism

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  • Du, Lili
  • Gong, Siyuan

Abstract

This paper proposes a decentralized and coordinated online parking mechanism (DCPM), which seeks to reduce parking congestion at multiple parking facilities in a central business district (CBD) through guiding the parking decisions of a parking coordination group. To establish this DCPM, this study develops a stochastic Poisson game to model the competitions among parking vehicles en route at multiple parking facilities. The equilibrium condition for the proposed stochastic Poisson game is formulated through involving travelers’ parking choice behavior described by multinomial logit model. Furthermore, we prove that the stochastic Poisson game is a potential game with a unique equilibrium. A simultaneously updating distributed algorithm is developed to search the equilibrium solution of the DCPM. Its convergence is proved by both mathematical analysis and numerical experiments. The numerical experiments are conducted to test the efficiency of the DCPM, based on a real-world CBD covering Guicheng Community, Nanhai District at Foshan in China. The performance of the DCPM is compared to three greedy strategies following the nearest first, cheapest first, and least cruise first policies, respectively. The experimental results demonstrate that the DCPM significantly reduces cruise vehicles and average cruise distance per vehicle from all other three greedy strategies; the least cruise first strategy, which takes advantage of the real-time open spots information at parking facilities, performs better than the nearest first and the cheapest first strategies without the access to real-time information. The DCPM can further improve the benefit of the real-time information. Additionally, in terms of walking distance and parking cost, the DCPM provide a trade-off solution between the nearest first and the cheapest first strategies.

Suggested Citation

  • Du, Lili & Gong, Siyuan, 2016. "Stochastic Poisson game for an online decentralized and coordinated parking mechanism," Transportation Research Part B: Methodological, Elsevier, vol. 87(C), pages 44-63.
    • Handle: RePEc:eee:transb:v:87:y:2016:i:c:p:44-63
    DOI: 10.1016/j.trb.2016.02.006
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    References listed on IDEAS

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    Cited by:

    1. Karaliopoulos, Merkouris & Katsikopoulos, Konstantinos & Lambrinos, Lambros, 2017. "Bounded rationality can make parking search more efficient: The power of lexicographic heuristics," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 28-50.
    2. Zhibin Chen & Stephen Spana & Yafeng Yin & Yuchuan Du, 2019. "An Advanced Parking Navigation System for Downtown Parking," Networks and Spatial Economics, Springer, vol. 19(3), pages 953-968, September.
    3. Arnott, Richard & Williams, Parker, 2017. "Cruising for parking around a circle," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 357-375.
    4. Zhang, Fangni & Lindsey, Robin & Yang, Hai & Shao, Chaoyi & Liu, Wei, 2022. "Two-sided pricing strategies for a parking sharing platform: Reselling or commissioning?," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 40-63.
    5. Xu, Su Xiu & Cheng, Meng & Kong, Xiang T.R. & Yang, Hai & Huang, George Q., 2016. "Private parking slot sharing," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 596-617.
    6. Yang, Kaidi & Roca-Riu, Mireia & Menéndez, Mónica, 2019. "An auction-based approach for prebooked urban logistics facilities," Omega, Elsevier, vol. 89(C), pages 193-211.
    7. Abdelghaffar, Hossam M. & Batista, S.F.A. & Rehman, Abdur & Cao, Jin & Menéndez, Mónica & Jabari, Saif Eddin, 2024. "Comparison of probabilistic cruising-for-parking time estimation models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 184(C).
    8. Leclercq, Ludovic & Sénécat, Alméria & Mariotte, Guilhem, 2017. "Dynamic macroscopic simulation of on-street parking search: A trip-based approach," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 268-282.
    9. Sayarshad, Hamid R. & Sattar, Shahram & Oliver Gao, H., 2020. "A scalable non-myopic atomic game for a smart parking mechanism," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).

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