IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v81y2015ip2p390-409.html
   My bibliography  Save this article

Parking search equilibrium on a network

Author

Listed:
  • Boyles, Stephen D.
  • Tang, Shoupeng
  • Unnikrishnan, Avinash

Abstract

This paper describes an equilibrium formulation for incorporating parking search into traffic network assignment models. The proposed model allows general network topologies and reflects uncertainty related to parking availability, including the possibility of cycling behavior as drivers search for parking. The equilibrium framework represents the mutual dependence between the probabilities of finding parking at different locations and the search processes employed by drivers to minimize total expected journey time (or cost). In this framework, network loading is represented by a system of nonlinear flow conservation networks, and feasibility and uniqueness issues are discussed. The equilibrium problem is formulated as a variational inequality and a convex combinations heuristic is proposed. Numerical results show that neglecting parking search can substantially underestimate network flows, and quantitatively demonstrate the relationship between parking duration effects and the cost of time spent walking relative to driving, and the expected driving and walking times.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:81:y:2015:i:p2:p:390-409
    DOI: 10.1016/j.trb.2014.09.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S019126151400188X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2014.09.017?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. 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.
    2. Avinash Unnikrishnan & Steven Waller, 2009. "User Equilibrium with Recourse," Networks and Spatial Economics, Springer, vol. 9(4), pages 575-593, December.
    3. Shoup, Donald C., 2006. "Cruising for Parking," University of California Transportation Center, Working Papers qt55s7079f, University of California Transportation Center.
    4. Qian, Zhen (Sean) & Rajagopal, Ram, 2014. "Optimal occupancy-driven parking pricing under demand uncertainties and traveler heterogeneity: A stochastic control approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 144-165.
    5. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2011. "A multilayer model to simulate cruising for parking in urban areas," Transport Policy, Elsevier, vol. 18(5), pages 735-744, September.
    6. Nie, Yu (Marco), 2011. "Multi-class percentile user equilibrium with flow-dependent stochasticity," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1641-1659.
    7. 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.
    8. Pierce, Gregory & Shoup, Donald, 2013. "Getting the Prices Right: An Evaluation of Pricing Parking by Demand in San Francisco," University of California Transportation Center, Working Papers qt2h76j73j, University of California Transportation Center.
    9. Gardner, Lauren M. & Boyles, Stephen D. & Waller, S. Travis, 2011. "Quantifying the benefit of responsive pricing and travel information in the stochastic congestion pricing problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(3), pages 204-218, March.
    10. Arnott, Richard & Rowse, John, 1999. "Modeling Parking," Journal of Urban Economics, Elsevier, vol. 45(1), pages 97-124, January.
    11. Zhang, Xiaoning & Huang, Hai-Jun & Zhang, H.M., 2008. "Integrated daily commuting patterns and optimal road tolls and parking fees in a linear city," Transportation Research Part B: Methodological, Elsevier, vol. 42(1), pages 38-56, January.
    12. Shoup, Donald C., 2006. "Cruising for parking," Transport Policy, Elsevier, vol. 13(6), pages 479-486, November.
    13. Yang, Hai & Liu, Wei & Wang, Xiaolei & Zhang, Xiaoning, 2013. "On the morning commute problem with bottleneck congestion and parking space constraints," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 106-118.
    14. Thompson, Russell G. & Richardson, Anthony J., 1998. "A Parking Search Model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(3), pages 159-170, April.
    15. Zhang, Xiaoning & Yang, Hai & Huang, Hai-Jun, 2011. "Improving travel efficiency by parking permits distribution and trading," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1018-1034, August.
    16. Hillel Bar-Gera, 2002. "Origin-Based Algorithm for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 36(4), pages 398-417, November.
    17. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
    18. Gregory Pierce & Donald Shoup, 2013. "Getting the Prices Right," Journal of the American Planning Association, Taylor & Francis Journals, vol. 79(1), pages 67-81, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jin Cao & Monica Menendez & Rashid Waraich, 2019. "Impacts of the urban parking system on cruising traffic and policy development: the case of Zurich downtown area, Switzerland," Transportation, Springer, vol. 46(3), pages 883-908, June.
    2. 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.
    3. 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.
    4. Maëlle Zimmermann & Emma Frejinger & Patrice Marcotte, 2021. "A Strategic Markovian Traffic Equilibrium Model for Capacitated Networks," Transportation Science, INFORMS, vol. 55(3), pages 574-591, May.
    5. Chai, Huajun, 2019. "Dynamic Traffic Routing and Adaptive Signal Control in a Connected Vehicles Environment," Institute of Transportation Studies, Working Paper Series qt9ng3z8vn, Institute of Transportation Studies, UC Davis.
    6. Rambha, Tarun & Boyles, Stephen D. & Unnikrishnan, Avinash & Stone, Peter, 2018. "Marginal cost pricing for system optimal traffic assignment with recourse under supply-side uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 104-121.
    7. Cao, Jin & Menendez, Monica, 2018. "Quantification of potential cruising time savings through intelligent parking services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 116(C), pages 151-165.
    8. Nourinejad, Mehdi & Bahrami, Sina & Roorda, Matthew J., 2018. "Designing parking facilities for autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 110-127.
    9. Junheng Yang & Xiaodong Zang & Qiang Luo & Liming Shao, 2021. "Analysis on Stability of Roadside Parking System in a Rail-Integrated Transport Hub," Sustainability, MDPI, vol. 13(9), pages 1-16, April.
    10. Michael W. Levin & Stephen D. Boyles, 2020. "Optimal Guidance Algorithms for Parking Search with Reservations," Networks and Spatial Economics, Springer, vol. 20(1), pages 19-45, March.
    11. 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.
    12. Yi LIU, 2020. "Impact Of Parking Fees On Social Benefits Based On The Emergence Of Shared Parking," Theoretical and Empirical Researches in Urban Management, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 15(1), pages 54-74, February.
    13. Xiao, Jun & Lou, Yingyan & Frisby, Joshua, 2018. "How likely am I to find parking? – A practical model-based framework for predicting parking availability," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 19-39.
    14. 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.
    15. 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.
    16. 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.
    17. Zakharenko, Roman, 2016. "The time dimension of parking economics," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 211-228.
    18. Nourinejad, Mehdi & Gandomi, Amir & Roorda, Matthew J., 2020. "Illegal parking and optimal enforcement policies with search friction," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    19. 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.

    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. Inci, Eren, 2015. "A review of the economics of parking," Economics of Transportation, Elsevier, vol. 4(1), pages 50-63.
    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. Wang, Pengfei & Guan, Hongzhi & Liu, Peng, 2020. "Modeling and solving the optimal allocation-pricing of public parking resources problem in urban-scale network," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 74-98.
    4. 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.
    5. Liu, Wei & Geroliminis, Nikolas, 2016. "Modeling the morning commute for urban networks with cruising-for-parking: An MFD approach," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 470-494.
    6. Arnott, Richard, 2014. "On the optimal target curbside parking occupancy rate," Economics of Transportation, Elsevier, vol. 3(2), pages 133-144.
    7. 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.
    8. Nourinejad, Mehdi & Wenneman, Adam & Habib, Khandker Nurul & Roorda, Matthew J., 2014. "Truck parking in urban areas: Application of choice modelling within traffic microsimulation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 64(C), pages 54-64.
    9. Geroliminis, Nikolas, 2015. "Cruising-for-parking in congested cities with an MFD representation," Economics of Transportation, Elsevier, vol. 4(3), pages 156-165.
    10. 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.
    11. Qian, Zhen (Sean) & Rajagopal, Ram, 2014. "Optimal occupancy-driven parking pricing under demand uncertainties and traveler heterogeneity: A stochastic control approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 144-165.
    12. Lu, Xiao-Shan & Guo, Ren-Yong & Huang, Hai-Jun & Xu, Xiaoming & Chen, Jiajia, 2021. "Equilibrium analysis of parking for integrated daily commuting," Research in Transportation Economics, Elsevier, vol. 90(C).
    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. Lu, Xiao-Shan & Huang, Hai-Jun & Guo, Ren-Yong & Xiong, Fen, 2021. "Linear location-dependent parking fees and integrated daily commuting patterns with late arrival and early departure in a linear city," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 293-322.
    15. He, Fang & Yin, Yafeng & Chen, Zhibin & Zhou, Jing, 2015. "Pricing of parking games with atomic players," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 1-12.
    16. Arnott, Richard & Inci, Eren & Rowse, John, 2015. "Downtown curbside parking capacity," Journal of Urban Economics, Elsevier, vol. 86(C), pages 83-97.
    17. Jin Cao & Monica Menendez & Rashid Waraich, 2019. "Impacts of the urban parking system on cruising traffic and policy development: the case of Zurich downtown area, Switzerland," Transportation, Springer, vol. 46(3), pages 883-908, June.
    18. Rodríguez, Andrés & Cordera, Rubén & Alonso, Borja & dell'Olio, Luigi & Benavente, Juan, 2022. "Microsimulation parking choice and search model to assess dynamic pricing scenarios," Transportation Research Part A: Policy and Practice, Elsevier, vol. 156(C), pages 253-269.
    19. Wang, Jing & Zhang, Xiaoning & Wang, Hua & Zhang, Michael, 2019. "Optimal parking supply in bi-modal transportation network considering transit scale economies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 207-229.
    20. Amer, Ahmed & Chow, Joseph Y.J., 2017. "A downtown on-street parking model with urban truck delivery behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 102(C), pages 51-67.

    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:81:y:2015:i:p2:p:390-409. 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.