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Stochastic user equilibrium traffic assignment with equilibrated parking search routes

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  • Pel, Adam J.
  • Chaniotakis, Emmanouil

Abstract

In this paper we define and formulate the concept of parking search routes (PSR) where a driver visits a sequence of parking locations until the first vacant parking spot is found and in doing so may account for (expected) parking probabilities. From there we define and formulate the stochastic user equilibrium (SUE) traffic assignment in which no driver, by unilaterally changing its PSR, can lower its perceived expected generalized costs. Recognizing the interdependency between PSR flows, travel times and parking probabilities, we propose a queuing model in order to compute endogenous parking probabilities accounting for these factors as well as maximum admissible search times. To solve the SUE assignment with equilibrated PSR we propose a solution algorithm, including a method for PSR choice set generation. The model is implemented and applied both to a number of experimental cases to verify its properties and to a real-life setting to illustrate its usefulness in parking-related studies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:101:y:2017:i:c:p:123-139
    DOI: 10.1016/j.trb.2017.03.015
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    References listed on IDEAS

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    1. Shoup, Donald C., 2006. "Cruising for parking," Transport Policy, Elsevier, vol. 13(6), pages 479-486, November.
    2. 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.
    3. D. Y. Barrer, 1957. "Queuing with Impatient Customers and Indifferent Clerks," Operations Research, INFORMS, vol. 5(5), pages 644-649, October.
    4. Geroliminis, Nikolas, 2015. "Cruising-for-parking in congested cities with an MFD representation," Economics of Transportation, Elsevier, vol. 4(3), pages 156-165.
    5. Watling, David Paul & Rasmussen, Thomas Kjær & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2015. "Stochastic user equilibrium with equilibrated choice sets: Part I – Model formulations under alternative distributions and restrictions," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 166-181.
    6. 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.
    7. Bliemer, Michiel C.J. & Raadsen, Mark P.H. & Smits, Erik-Sander & Zhou, Bojian & Bell, Michael G.H., 2014. "Quasi-dynamic traffic assignment with residual point queues incorporating a first order node model," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 363-384.
    8. 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.
    9. Liya Guo & Shan Huang & Jun Zhuang & Adel Sadek, 2013. "Modeling Parking Behavior Under Uncertainty: A Static Game Theoretic versus a Sequential Neo-additive Capacity Modeling Approach," Networks and Spatial Economics, Springer, vol. 13(3), pages 327-350, September.
    10. 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.
    11. Cao, Jin & Menendez, Monica, 2015. "System dynamics of urban traffic based on its parking-related-states," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 718-736.
    12. 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.
    13. Shoup, Donald C., 2006. "Cruising for Parking," University of California Transportation Center, Working Papers qt55s7079f, University of California Transportation Center.
    14. Bifulco, Gennaro Nicola, 1993. "A stochastic user equilibrium assignment model for the evaluation of parking policies," European Journal of Operational Research, Elsevier, vol. 71(2), pages 269-287, December.
    15. Zhi-Chun Li & William Lam & S. Wong & Hai-Jun Huang & Dao-Li Zhu, 2008. "Reliability Evaluation for Stochastic and Time-dependent Networks with Multiple Parking Facilities," Networks and Spatial Economics, Springer, vol. 8(4), pages 355-381, December.
    16. B J Waterson & N B Hounsell & K Chatterjee, 2001. "Quantifying the potential savings in travel time resulting from parking guidance systems — a simulation case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(10), pages 1067-1077, October.
    17. D. Y. Barrer, 1957. "Queuing with Impatient Customers and Ordered Service," Operations Research, INFORMS, vol. 5(5), pages 650-656, October.
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    4. 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.
    5. 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.
    6. Watling, David Paul & Rasmussen, Thomas Kjær & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2018. "Stochastic user equilibrium with a bounded choice model," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 254-280.
    7. Marta Rojo, 2020. "Evaluation of Traffic Assignment Models through Simulation," Sustainability, MDPI, vol. 12(14), pages 1-19, July.
    8. 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.

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