IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v81y2015ip3p656-671.html
   My bibliography  Save this article

Dynamic activity-travel assignment in multi-state supernetworks

Author

Listed:
  • Liu, Peng
  • Liao, Feixiong
  • Huang, Hai-Jun
  • Timmermans, Harry

Abstract

The integration of activity-based modeling and dynamic traffic assignment for travel demand analysis has recently attracted ever-increasing attention. However, related studies have limitations either on the integration structure or the number of choice facets being captured. This paper proposes a formulation of dynamic activity-travel assignment (DATA) in the framework of multi-state supernetworks, in which any path through a personalized supernetwork represents a particular activity-travel pattern (ATP) at a high level of spatial and temporal detail. DATA is formulated as a discrete-time dynamic user equilibrium (DUE) problem, which is reformulated as an equivalent variational inequality (VI) problem. A generalized dynamic link disutility function is established with the accommodation of different characteristics of the links in the supernetworks. Flow constraints and non-uniqueness of equilibria are also investigated. In the proposed formulation, the choices of departure time, route, mode, activity sequence, activity and parking location are all unified into one time-dependent ATP choice. As a result, the interdependences among all these choice facets can be readily captured. A solution algorithm based on the route-swapping mechanism is adopted to find the user equilibrium. A numerical example with simulated scenarios is provided to demonstrate the advantages of the proposed approach.

Suggested Citation

  • Liu, Peng & Liao, Feixiong & Huang, Hai-Jun & Timmermans, Harry, 2015. "Dynamic activity-travel assignment in multi-state supernetworks," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 656-671.
  • Handle: RePEc:eee:transb:v:81:y:2015:i:p3:p:656-671
    DOI: 10.1016/j.trb.2015.08.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261515001812
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.trb.2015.08.006?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. Huang, Hai-Jun & Lam, William H. K., 2002. "Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 253-273, March.
    2. Yoram Shiftan & Moshe Ben-Akiva, 2011. "A practical policy-sensitive, activity-based, travel-demand model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(3), pages 517-541, December.
    3. Arentze, Theo A. & Timmermans, Harry J. P., 2004. "A learning-based transportation oriented simulation system," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 613-633, August.
    4. Anna Nagurney & June Dong & Patricia Mokhtarian, 2003. "A space-time network for telecommuting versus commuting decision-making," Papers in Regional Science, Springer;Regional Science Association International, vol. 82(4), pages 451-473, November.
    5. Chen, Huey-Kuo & Hsueh, Che-Fu, 1998. "A model and an algorithm for the dynamic user-optimal route choice problem," Transportation Research Part B: Methodological, Elsevier, vol. 32(3), pages 219-234, April.
    6. Lam, William H. K. & Yin, Yafeng, 2001. "An activity-based time-dependent traffic assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 35(6), pages 549-574, July.
    7. Malachy Carey & Y. E. Ge & Mark McCartney, 2003. "A Whole-Link Travel-Time Model with Desirable Properties," Transportation Science, INFORMS, vol. 37(1), pages 83-96, February.
    8. Xiao Fu & William Lam, 2014. "A network equilibrium approach for modelling activity-travel pattern scheduling problems in multi-modal transit networks with uncertainty," Transportation, Springer, vol. 41(1), pages 37-55, January.
    9. Recker, W. W., 2001. "A bridge between travel demand modeling and activity-based travel analysis," Transportation Research Part B: Methodological, Elsevier, vol. 35(5), pages 481-506, June.
    10. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2014. "Bottleneck model revisited: An activity-based perspective," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 262-287.
    11. Zhang, Xiaoning & Yang, Hai & Huang, Hai-Jun & Zhang, H. Michael, 2005. "Integrated scheduling of daily work activities and morning-evening commutes with bottleneck congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(1), pages 41-60, January.
    12. William Lam & Hai-jun Huang, 2002. "A combined activity/travel choice model for congested road networks with queues," Transportation, Springer, vol. 29(1), pages 5-29, February.
    13. D. Zhang & A. Nagurney, 1997. "Formulation, Stability, and Computation of Traffic Network Equilibria as Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 93(2), pages 417-444, May.
    14. Soora Rasouli & Harry Timmermans, 2014. "Activity-based models of travel demand: promises, progress and prospects," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 18(1), pages 31-60, March.
    15. Anna Nagurney & Ding Zhang, 1997. "Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria," Transportation Science, INFORMS, vol. 31(2), pages 147-158, May.
    16. Bowman, J. L. & Ben-Akiva, M. E., 2001. "Activity-based disaggregate travel demand model system with activity schedules," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(1), pages 1-28, January.
    17. Terry L. Friesz & David Bernstein & Tony E. Smith & Roger L. Tobin & B. W. Wie, 1993. "A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem," Operations Research, INFORMS, vol. 41(1), pages 179-191, February.
    18. Han, Lanshan & Ukkusuri, Satish & Doan, Kien, 2011. "Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1749-1767.
    19. Kang, Jee Eun & Chow, Joseph Y.J. & Recker, Will W., 2013. "On activity-based network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 398-418.
    20. Ukkusuri, Satish V. & Han, Lanshan & Doan, Kien, 2012. "Dynamic user equilibrium with a path based cell transmission model for general traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1657-1684.
    21. Gitakrishnan Ramadurai & Satish Ukkusuri, 2010. "Dynamic User Equilibrium Model for Combined Activity-Travel Choices Using Activity-Travel Supernetwork Representation," Networks and Spatial Economics, Springer, vol. 10(2), pages 273-292, June.
    22. Arentze, Theo A. & Molin, Eric J.E., 2013. "Travelers’ preferences in multimodal networks: Design and results of a comprehensive series of choice experiments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 58(C), pages 15-28.
    23. Abdul Rawoof Pinjari & Chandra R. Bhat, 2011. "Activity-based Travel Demand Analysis," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 10, Edward Elgar Publishing.
    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. Li, Qing & Liao, Feixiong & Timmermans, Harry J.P. & Huang, Haijun & Zhou, Jing, 2018. "Incorporating free-floating car-sharing into an activity-based dynamic user equilibrium model: A demand-side model," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 102-123.
    2. Liu, Yang & Ji, Yanjie & Shi, Zhuangbin & He, Baohong & Liu, Qiyang, 2018. "Investigating the effect of the spatial relationship between home, workplace and school on parental chauffeurs’ daily travel mode choice," Transport Policy, Elsevier, vol. 69(C), pages 78-87.
    3. Huang, Hai-Jun & Xia, Tian & Tian, Qiong & Liu, Tian-Liang & Wang, Chenlan & Li, Daqing, 2020. "Transportation issues in developing China's urban agglomerations," Transport Policy, Elsevier, vol. 85(C), pages 1-22.
    4. Xu, Shu-Xian & Liu, Tian-Liang & Huang, Hai-Jun & Liu, Ronghui, 2018. "Mode choice and railway subsidy in a congested monocentric city with endogenous population distribution," Transportation Research Part A: Policy and Practice, Elsevier, vol. 116(C), pages 413-433.
    5. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2017. "Step tolling in an activity-based bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 306-334.
    6. Witsarut Achariyaviriya & Yoshitsugu Hayashi & Hiroyuki Takeshita & Masanobu Kii & Varameth Vichiensan & Thanaruk Theeramunkong, 2021. "Can Space–Time Shifting of Activities and Travels Mitigate Hyper-Congestion in an Emerging Megacity, Bangkok? Effects on Quality of Life and CO 2 Emission," Sustainability, MDPI, vol. 13(12), pages 1-19, June.
    7. Xiao Fu & William H. K. Lam, 2018. "Modelling joint activity-travel pattern scheduling problem in multi-modal transit networks," Transportation, Springer, vol. 45(1), pages 23-49, January.
    8. Cantelmo, Guido & Viti, Francesco, 2019. "Incorporating activity duration and scheduling utility into equilibrium-based Dynamic Traffic Assignment," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 365-390.
    9. Liu, Peng & Liu, Jielun & Ong, Ghim Ping & Tian, Qiong, 2020. "Flow pattern and optimal capacity in a bi-modal traffic corridor with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    10. Vo, Khoa D. & Lam, William H.K. & Chen, Anthony & Shao, Hu, 2020. "A household optimum utility approach for modeling joint activity-travel choices in congested road networks," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 93-125.
    11. Li, Qing & Liao, Feixiong, 2020. "Incorporating vehicle self-relocations and traveler activity chains in a bi-level model of optimal deployment of shared autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 151-175.
    12. Fu, Xiao & Wu, Youqi & Huang, Di & Wu, Jianjun, 2022. "An activity-based model for transit network design and activity location planning in a three-party game framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    13. Wang, Dong & Liao, Feixiong & Gao, Ziyou & Rasouli, Soora & Huang, Hai-Jun, 2020. "Tolerance-based column generation for boundedly rational dynamic activity-travel assignment in large-scale networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    14. Liu, Peng & Liao, Feixiong & Tian, Qiong & Huang, Hai-Jun & Timmermans, Harry, 2020. "Day-to-day needs-based activity-travel dynamics and equilibria in multi-state supernetworks," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 208-227.
    15. Qing Li & Feixiong Liao & Harry J. P. Timmermans & Jing Zhou, 2016. "A reference-dependent user equilibrium model for activity-travel scheduling," Transportation, Springer, vol. 43(6), pages 1061-1077, November.
    16. Wang, Dong & Liao, Feixiong & Gao, Ziyou & Timmermans, Harry, 2019. "Tolerance-based strategies for extending the column generation algorithm to the bounded rational dynamic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 102-121.

    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. Vo, Khoa D. & Lam, William H.K. & Chen, Anthony & Shao, Hu, 2020. "A household optimum utility approach for modeling joint activity-travel choices in congested road networks," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 93-125.
    2. Liu, Peng & Liao, Feixiong & Tian, Qiong & Huang, Hai-Jun & Timmermans, Harry, 2020. "Day-to-day needs-based activity-travel dynamics and equilibria in multi-state supernetworks," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 208-227.
    3. Cantelmo, Guido & Viti, Francesco, 2019. "Incorporating activity duration and scheduling utility into equilibrium-based Dynamic Traffic Assignment," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 365-390.
    4. Wang, Dong & Liao, Feixiong & Gao, Ziyou & Rasouli, Soora & Huang, Hai-Jun, 2020. "Tolerance-based column generation for boundedly rational dynamic activity-travel assignment in large-scale networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    5. Qing Li & Feixiong Liao & Harry J. P. Timmermans & Jing Zhou, 2016. "A reference-dependent user equilibrium model for activity-travel scheduling," Transportation, Springer, vol. 43(6), pages 1061-1077, November.
    6. Huang, Hai-Jun & Lam, William H. K., 2002. "Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 253-273, March.
    7. Ren-Yong Guo & Hai Yang & Hai-Jun Huang, 2018. "Are We Really Solving the Dynamic Traffic Equilibrium Problem with a Departure Time Choice?," Transportation Science, INFORMS, vol. 52(3), pages 603-620, June.
    8. Li, Qing & Liao, Feixiong, 2020. "Incorporating vehicle self-relocations and traveler activity chains in a bi-level model of optimal deployment of shared autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 151-175.
    9. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2017. "Step tolling in an activity-based bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 306-334.
    10. Xiao Fu & William H. K. Lam, 2018. "Modelling joint activity-travel pattern scheduling problem in multi-modal transit networks," Transportation, Springer, vol. 45(1), pages 23-49, January.
    11. Ziyou Gao & Yunchao Qu & Xingang Li & Jiancheng Long & Hai-Jun Huang, 2014. "Simulating the Dynamic Escape Process in Large Public Places," Operations Research, INFORMS, vol. 62(6), pages 1344-1357, December.
    12. Feixiong Liao & Theo Arentze & Eric Molin & Wendy Bothe & Harry Timmermans, 2017. "Effects of land-use transport scenarios on travel patterns: a multi-state supernetwork application," Transportation, Springer, vol. 44(1), pages 1-25, January.
    13. Kumar, Amit & Peeta, Srinivas, 2015. "A day-to-day dynamical model for the evolution of path flows under disequilibrium of traffic networks with fixed demand," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 235-256.
    14. Xie, Chi & Wang, Tong-Gen & Pu, Xiaoting & Karoonsoontawong, Ampol, 2017. "Path-constrained traffic assignment: Modeling and computing network impacts of stochastic range anxiety," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 136-157.
    15. Lu, Chung-Cheng & Mahmassani, Hani S. & Zhou, Xuesong, 2009. "Equivalent gap function-based reformulation and solution algorithm for the dynamic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 345-364, March.
    16. Han, Ke & Szeto, W.Y. & Friesz, Terry L., 2015. "Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 16-49.
    17. Li, Qing & Liao, Feixiong & Timmermans, Harry J.P. & Huang, Haijun & Zhou, Jing, 2018. "Incorporating free-floating car-sharing into an activity-based dynamic user equilibrium model: A demand-side model," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 102-123.
    18. Zhi-Chun Li & William Lam & S. Wong & A. Sumalee, 2010. "An activity-based approach for scheduling multimodal transit services," Transportation, Springer, vol. 37(5), pages 751-774, September.
    19. Ke Han & Gabriel Eve & Terry L. Friesz, 2019. "Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation," Networks and Spatial Economics, Springer, vol. 19(3), pages 869-902, September.
    20. Han, Ke & Friesz, Terry L. & Szeto, W.Y. & Liu, Hongcheng, 2015. "Elastic demand dynamic network user equilibrium: Formulation, existence and computation," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 183-209.

    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:p3:p:656-671. 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.