IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v186y2024ics0191261524001243.html
   My bibliography  Save this article

Modeling shared parking services at spatially correlated locations through a weibit-based combined destination and parking choice equilibrium model

Author

Listed:
  • Gu, Yu
  • Chen, Anthony
  • Kitthamkesorn, Songyot

Abstract

This paper proposes a weibit-based equilibrium choice model for investigating the effect of the emerging shared parking services, which have recently received increasing interest, on combined destination location and parking choice behaviors. The model considers the features of shared parking services, including the avoidance of cruising to search for a parking space and limited supply of shared parking spaces. The spatial similarity issues of destination and parking choices, i.e., the correlations among spatially adjacent destination locations and the parking spaces around them, are separately considered through the advanced spatially correlated weibit (SCW) model and parking-size weibit (PSW) model, respectively. Subsequently, an equivalent mathematical programming (MP) formulation of the equilibrium SCW-PSW model is developed, which guarantees the existence and uniqueness of the solutions. Based on the MP formulation, a partial linearization algorithm embedded with the iterative balancing direction-finding scheme and self-regulated averaging line search scheme is developed to solve the proposed equilibrium model. Numerical examples are presented to illustrate the properties of the proposed model and its applicability to analyzing planning scenarios with different shared parking supplies.

Suggested Citation

  • Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot, 2024. "Modeling shared parking services at spatially correlated locations through a weibit-based combined destination and parking choice equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
  • Handle: RePEc:eee:transb:v:186:y:2024:i:c:s0191261524001243
    DOI: 10.1016/j.trb.2024.103000
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261524001243
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.trb.2024.103000?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lam, William H.K. & Shao, Hu & Sumalee, Agachai, 2008. "Modeling impacts of adverse weather conditions on a road network with uncertainties in demand and supply," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 890-910, December.
    2. Geroliminis, Nikolas, 2015. "Cruising-for-parking in congested cities with an MFD representation," Economics of Transportation, Elsevier, vol. 4(3), pages 156-165.
    3. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
    4. Pel, Adam J. & Chaniotakis, Emmanouil, 2017. "Stochastic user equilibrium traffic assignment with equilibrated parking search routes," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 123-139.
    5. Jose-Benito Perez-Lopez & Alfonso Orro & Margarita Novales, 2021. "Environmental Impact of Mobility in Higher-Education Institutions: The Case of the Ecological Footprint at the University of A Coruña (Spain)," Sustainability, MDPI, vol. 13(11), pages 1-18, May.
    6. Ibeas, A. & dell’Olio, L. & Bordagaray, M. & Ortúzar, J. de D., 2014. "Modelling parking choices considering user heterogeneity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 41-49.
    7. Xu, Xiangdong & Chen, Anthony & Kitthamkesorn, Songyot & Yang, Hai & Lo, Hong K., 2015. "Modeling absolute and relative cost differences in stochastic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 686-703.
    8. Henry Liu & Xiaozheng He & Bingsheng He, 2009. "Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 9(4), pages 485-503, December.
    9. Chakroborty, Partha & Pinjari, Abdul Rawoof & Meena, Jayant & Gandhi, Avinash, 2021. "A Psychophysical Ordered Response Model of Time Perception and Service Quality: Application to Level of Service Analysis at Toll Plazas," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 44-64.
    10. Larry J. LeBlanc & Keyvan Farhangian, 1981. "Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems," Transportation Science, INFORMS, vol. 15(4), pages 306-317, November.
    11. Xiao, Haohan & Xu, Meng & Gao, Ziyou, 2018. "Shared parking problem: A novel truthful double auction mechanism approach," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 40-69.
    12. Hunt, J. D. & Teply, S., 1993. "A nested logit model of parking location choice," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 253-265, August.
    13. Nirmale, Sangram Krishna & Pinjari, Abdul Rawoof, 2023. "Discrete choice models with multiplicative stochasticity in choice environment variables: Application to accommodating perception errors in driver behaviour models," Transportation Research Part B: Methodological, Elsevier, vol. 170(C), pages 169-193.
    14. Liu, Zhiyuan & Chen, Xinyuan & Meng, Qiang & Kim, Inhi, 2018. "Remote park-and-ride network equilibrium model and its applications," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 37-62.
    15. Choukroun, Jean-Marc, 1975. "A general framework for the development of gravity-type trip distribution models," Regional Science and Urban Economics, Elsevier, vol. 5(2), pages 177-202, May.
    16. Fosgerau, M. & Bierlaire, M., 2009. "Discrete choice models with multiplicative error terms," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 494-505, June.
    17. 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.
    18. Frejinger, E. & Bierlaire, M., 2007. "Capturing correlation with subnetworks in route choice models," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 363-378, March.
    19. Xiao, Haohan & Xu, Meng, 2022. "Modelling bidding behaviors in shared parking auctions considering anticipated regrets," Transportation Research Part A: Policy and Practice, Elsevier, vol. 161(C), pages 88-106.
    20. Hensher, David A. & King, Jenny, 2001. "Parking demand and responsiveness to supply, pricing and location in the Sydney central business district," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(3), pages 177-196, March.
    21. Kitthamkesorn, Songyot & Chen, Anthony, 2017. "Alternate weibit-based model for assessing green transport systems with combined mode and route travel choices," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 291-310.
    22. Lam, William H.K. & Li, Zhi-Chun & Huang, Hai-Jun & Wong, S.C., 2006. "Modeling time-dependent travel choice problems in road networks with multiple user classes and multiple parking facilities," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 368-395, June.
    23. Bekhor, Shlomo & Prashker, Joseph N., 2008. "GEV-based destination choice models that account for unobserved similarities among alternatives," Transportation Research Part B: Methodological, Elsevier, vol. 42(3), pages 243-262, March.
    24. Seungkyu Ryu & Anthony Chen & Xiangdong Xu & Keechoo Choi, 2014. "A Dual Approach for Solving the Combined Distribution and Assignment Problem with Link Capacity Constraints," Networks and Spatial Economics, Springer, vol. 14(2), pages 245-270, June.
    25. Boyles, Stephen D. & Tang, Shoupeng & Unnikrishnan, Avinash, 2015. "Parking search equilibrium on a network," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 390-409.
    26. José-Benito Pérez-López & Margarita Novales & Francisco-Alberto Varela-García & Alfonso Orro, 2020. "Residential Location Econometric Choice Modeling with Irregular Zoning: Common Border Spatial Correlation Metric," Networks and Spatial Economics, Springer, vol. 20(3), pages 785-802, September.
    27. Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot, 2022. "Weibit choice models: Properties, mode choice application and graphical illustrations," Journal of choice modelling, Elsevier, vol. 44(C).
    28. Sener, Ipek N. & Pendyala, Ram M. & Bhat, Chandra R., 2011. "Accommodating spatial correlation across choice alternatives in discrete choice models: an application to modeling residential location choice behavior," Journal of Transport Geography, Elsevier, vol. 19(2), pages 294-303.
    29. Perez-Lopez, Jose-Benito & Novales, Margarita & Orro, Alfonso, 2022. "Spatially correlated nested logit model for spatial location choice," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 1-12.
    30. Bhat, Chandra R. & Guo, Jessica, 2004. "A mixed spatially correlated logit model: formulation and application to residential choice modeling," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 147-168, February.
    31. Chen, Anthony & Chootinan, Piya & Recker, Will, 2009. "Norm approximation method for handling traffic count inconsistencies in path flow estimator," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 852-872, September.
    32. Javier Anta & José B. Pérez-López & Ana Martínez-Pardo & Margarita Novales & Alfonso Orro, 2016. "Influence of the weather on mode choice in corridors with time-varying congestion: a mixed data study," Transportation, Springer, vol. 43(2), pages 337-355, March.
    33. Gu, Ziyuan & Li, Yifan & Saberi, Meead & Rashidi, Taha H. & Liu, Zhiyuan, 2023. "Macroscopic parking dynamics and equitable pricing: Integrating trip-based modeling with simulation-based robust optimization," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 354-381.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kitthamkesorn, Songyot & Chen, Anthony, 2017. "Alternate weibit-based model for assessing green transport systems with combined mode and route travel choices," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 291-310.
    2. Gu, Ziyuan & Safarighouzhdi, Farshid & Saberi, Meead & Rashidi, Taha H., 2021. "A macro-micro approach to modeling parking," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 220-244.
    3. Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot & Jang, Sunghoon, 2024. "Alternate closed-form weibit-based model for assessing travel choice with an oddball alternative," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    4. Du, Muqing & Tan, Heqing & Chen, Anthony, 2021. "A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models," European Journal of Operational Research, Elsevier, vol. 290(3), pages 982-999.
    5. Gu, Ziyuan & Li, Yifan & Saberi, Meead & Rashidi, Taha H. & Liu, Zhiyuan, 2023. "Macroscopic parking dynamics and equitable pricing: Integrating trip-based modeling with simulation-based robust optimization," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 354-381.
    6. Tinessa, Fiore & Marzano, Vittorio & Papola, Andrea, 2020. "Mixing distributions of tastes with a Combination of Nested Logit (CoNL) kernel: Formulation and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 1-23.
    7. Chen, Anthony & Choi, Keechoo, 2017. "Solving the combined modal split and traffic assignment problem with two types of transit impedance functionAuthor-Name: Ryu, Seungkyu," European Journal of Operational Research, Elsevier, vol. 257(3), pages 870-880.
    8. Tinessa, Fiore, 2021. "Closed-form random utility models with mixture distributions of random utilities: Exploring finite mixtures of qGEV models," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 262-288.
    9. Chaniotakis, Emmanouil & Pel, Adam J., 2015. "Drivers’ parking location choice under uncertain parking availability and search times: A stated preference experiment," Transportation Research Part A: Policy and Practice, Elsevier, vol. 82(C), pages 228-239.
    10. Zhou, Xizhen & Lv, Mengqi & Ji, Yanjie & Zhang, Shuichao & Liu, Yong, 2023. "Pricing curb parking: Differentiated parking fees or cash rewards?," Transport Policy, Elsevier, vol. 142(C), pages 46-58.
    11. Zhang, Xinying & Pitera, Kelly & Wang, Yuanqing, 2024. "Exploring parking choices under the coexistence of autonomous and conventional vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    12. Ampol Karoonsoontawong & Dung-Ying Lin, 2015. "Combined Gravity Model Trip Distribution and Paired Combinatorial Logit Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 15(4), pages 1011-1048, December.
    13. Tian, Qiong & Yang, Li & Wang, Chenlan & Huang, Hai-Jun, 2018. "Dynamic pricing for reservation-based parking system: A revenue management method," Transport Policy, Elsevier, vol. 71(C), pages 36-44.
    14. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
    15. Caicedo, Felix & Diaz, Alejandra, 2013. "Case analysis of simultaneous concessions of parking meters and underground parking facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 358-378.
    16. Wei Wu & Wei Liu & Fangni Zhang & Vinayak Dixit, 2021. "A New Flexible Parking Reservation Scheme for the Morning Commute under Limited Parking Supplies," Networks and Spatial Economics, Springer, vol. 21(3), pages 513-545, September.
    17. Gu, Yu & Chen, Anthony & Kitthamkesorn, Songyot, 2022. "Weibit choice models: Properties, mode choice application and graphical illustrations," Journal of choice modelling, Elsevier, vol. 44(C).
    18. Wang, Guangchao & Chen, Anthony & Kitthamkesorn, Songyot & Ryu, Seungkyu & Qi, Hang & Song, Ziqi & Song, Jianguo, 2020. "A multi-modal network equilibrium model with captive mode choice and path size logit route choice," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 293-317.
    19. Pel, Adam J. & Chaniotakis, Emmanouil, 2017. "Stochastic user equilibrium traffic assignment with equilibrated parking search routes," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 123-139.
    20. Li, Guoyuan & Chen, Anthony, 2023. "Strategy-based transit stochastic user equilibrium model with capacity and number-of-transfers constraints," European Journal of Operational Research, Elsevier, vol. 305(1), pages 164-183.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transb:v:186:y:2024:i:c:s0191261524001243. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.