IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v13y2021i14p7928-d595114.html
   My bibliography  Save this article

A P-Hub Location Problem for Determining Park-and-Ride Facility Locations with the Weibit-Based Choice Model

Author

Listed:
  • Songyot Kitthamkesorn

    (Department of Civil Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, Thailand
    Excellence Center in Infrastructure Technology and Transportation Engineering (ExCITE), Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Anthony Chen

    (Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Kowloon, Hong Kong 999077, China
    Shenzhen Research Institute, The Hong Kong Polytechnic University, Shenzhen 518040, China)

  • Sathaporn Opasanon

    (Department of International Business, Logistics and Transport, Faculty of Commerce and Accountancy, Thammasat University, Bangkok 10200, Thailand)

  • Suwicha Jaita

    (Excellence Center in Infrastructure Technology and Transportation Engineering (ExCITE), Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, Thailand)

Abstract

Park and ride (P&R) facilities provide intermodal transfer between private vehicles and public transportation systems to alleviate urban congestion. This study developed a mathematical programming formulation for determining P&R facility locations. A recently developed Weibit-based model was adopted to represent the traveler choice behavior with heterogeneity. The model’s independence of irrelevant alternatives (IIA) property was explored and used to linearize its nonlinear probability. Some numerical examples are provided to demonstrate a feature of the proposed mixed integer linear programing (MILP). The results indicate a significant impact of route-specific perception variance on the optimal P&R facility locations in a real-size transportation network.

Suggested Citation

  • Songyot Kitthamkesorn & Anthony Chen & Sathaporn Opasanon & Suwicha Jaita, 2021. "A P-Hub Location Problem for Determining Park-and-Ride Facility Locations with the Weibit-Based Choice Model," Sustainability, MDPI, vol. 13(14), pages 1-16, July.
    • Handle: RePEc:gam:jsusta:v:13:y:2021:i:14:p:7928-:d:595114
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/13/14/7928/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/13/14/7928/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Castillo, Enrique & Menéndez, José María & Jiménez, Pilar & Rivas, Ana, 2008. "Closed form expressions for choice probabilities in the Weibull case," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 373-380, May.
    2. Kitthamkesorn, Songyot & Chen, Anthony, 2013. "A path-size weibit stochastic user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 378-397.
    3. Aros-Vera, Felipe & Marianov, Vladimir & Mitchell, John E., 2013. "p-Hub approach for the optimal park-and-ride facility location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 277-285.
    4. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, September.
    5. 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.
    6. Hao Pang & Alireza Khani, 2018. "Modeling park-and-ride location choice of heterogeneous commuters," Transportation, Springer, vol. 45(1), pages 71-87, January.
    7. Kitthamkesorn, Songyot & Chen, Anthony, 2014. "Unconstrained weibit stochastic user equilibrium model with extensions," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 1-21.
    8. Opasanon, Sathaporn & Kitthamkesorn, Songyot, 2016. "Border crossing design in light of the ASEAN Economic Community: Simulation based approach," Transport Policy, Elsevier, vol. 48(C), pages 1-12.
    9. Joana Cavadas & António Pais Antunes, 2019. "Optimization-based study of the location of park-and-ride facilities," Transportation Planning and Technology, Taylor & Francis Journals, vol. 42(3), pages 201-226, April.
    10. Zhiyuan Liu & Qiang Meng, 2014. "Bus-based park-and-ride system: a stochastic model on multimodal network with congestion pricing schemes," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 994-1006, May.
    11. 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.
    12. Benati, Stefano & Hansen, Pierre, 2002. "The maximum capture problem with random utilities: Problem formulation and algorithms," European Journal of Operational Research, Elsevier, vol. 143(3), pages 518-530, December.
    13. Carlos F. Daganzo & Yosef Sheffi, 1977. "On Stochastic Models of Traffic Assignment," Transportation Science, INFORMS, vol. 11(3), pages 253-274, August.
    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. Kitthamkesorn, Songyot & Chen, Anthony, 2024. "Maximum capture problem for urban air mobility network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 187(C).
    2. Carola Leone & Laura Sturaro & Giacomo Geroli & Michela Longo & Wahiba Yaici, 2021. "Design and Implementation of an Electric Skibus Line in North Italy," Energies, MDPI, vol. 14(23), pages 1-22, November.
    3. Songyot Kitthamkesorn & Anthony Chen, 2024. "Stochastic User Equilibrium Model with a Bounded Perceived Travel Time," Papers 2402.18435, arXiv.org.
    4. Kitthamkesorn, Songyot & Chen, Anthony & Ryu, Seungkyu & Opasanon, Sathaporn, 2024. "Maximum capture problem based on paired combinatorial weibit model to determine park-and-ride facility locations," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    5. Guillot, Matthieu & Rey, David & Furno, Angelo & El Faouzi, Nour-Eddin, 2024. "A stochastic hub location and fleet assignment problem for the design of reconfigurable park-and-ride systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    6. Nazam Ali & Shoichiro Nakayama & Hiromichi Yamaguchi, 2021. "Analysis of Bus Fare Structure to Observe Modal Shift, Operator Profit, and Land-Use Choices through Combined Unified Transport Model," Sustainability, MDPI, vol. 14(1), pages 1-17, December.
    7. Xiang Tang & Jianxiao Ma & Peng He & Chubo Xu, 2022. "Parking Allocation Index Analysis of Office Building Based on the TOD Measurement Method," Sustainability, MDPI, vol. 14(5), pages 1-14, February.
    8. 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).
    9. Shiqian Ji & Jiaming Zhong & Zhaocheng He, 2022. "A Bus Subsidy Scheme Design Model Considering Competition between Bus Companies," Sustainability, MDPI, vol. 14(7), pages 1-19, April.

    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 & Ryu, Seungkyu & Opasanon, Sathaporn, 2024. "Maximum capture problem based on paired combinatorial weibit model to determine park-and-ride facility locations," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    2. 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.
    3. 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.
    4. 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.
    5. Ahipaşaoğlu, Selin Damla & Meskarian, Rudabeh & Magnanti, Thomas L. & Natarajan, Karthik, 2015. "Beyond normality: A cross moment-stochastic user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 333-354.
    6. 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.
    7. Nakayama, Shoichiro & Chikaraishi, Makoto, 2015. "Unified closed-form expression of logit and weibit and its extension to a transportation network equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 672-685.
    8. 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).
    9. Kitthamkesorn, Songyot & Chen, Anthony, 2024. "Maximum capture problem for urban air mobility network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 187(C).
    10. Li, Guoyuan & Chen, Anthony & Ryu, Seungkyu & Kitthamkesorn, Songyot & Xu, Xiangdong, 2024. "Modeling elasticity, similarity, stochasticity, and congestion in a network equilibrium framework using a paired combinatorial weibit choice model," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    11. Chikaraishi, Makoto & Nakayama, Shoichiro, 2016. "Discrete choice models with q-product random utilities," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 576-595.
    12. Rasmussen, Thomas Kjær & Watling, David Paul & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2015. "Stochastic user equilibrium with equilibrated choice sets: Part II – Solving the restricted SUE for the logit family," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 146-165.
    13. Tan, Heqing & Xu, Xiangdong & Chen, Anthony, 2024. "On endogenously distinguishing inactive paths in stochastic user equilibrium: A convex programming approach with a truncated path choice model," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
    14. Yao, Jia & Chen, Anthony, 2014. "An analysis of logit and weibit route choices in stochastic assignment paradox," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 31-49.
    15. Jairo Ortega & János Tóth & Tamás Péter & Sarbast Moslem, 2020. "An Integrated Model of Park-And-Ride Facilities for Sustainable Urban Mobility," Sustainability, MDPI, vol. 12(11), pages 1-15, June.
    16. Xu, Xiangdong & Qu, Kai & Chen, Anthony & Yang, Chao, 2021. "A new day-to-day dynamic network vulnerability analysis approach with Weibit-based route adjustment process," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
    17. Georg Bechler & Claudius Steinhardt & Jochen Mackert, 2021. "On the Linear Integration of Attraction Choice Models in Business Optimization Problems," SN Operations Research Forum, Springer, vol. 2(1), pages 1-13, March.
    18. Xinyuan Chen & Ruyang Yin & Qinhe An & Yuan Zhang, 2021. "Modeling a Distance-Based Preferential Fare Scheme for Park-and-Ride Services in a Multimodal Transport Network," Sustainability, MDPI, vol. 13(5), pages 1-14, March.
    19. Ji, Xiangfeng & Chu, Yanyu, 2020. "A target-oriented bi-attribute user equilibrium model with travelers’ perception errors on the tolled traffic network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    20. Paolo Delle Site, 2017. "On the Equivalence Between SUE and Fixed-Point States of Day-to-Day Assignment Processes with Serially-Correlated Route Choice," Networks and Spatial Economics, Springer, vol. 17(3), pages 935-962, September.

    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:gam:jsusta:v:13:y:2021:i:14:p:7928-:d:595114. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.