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A network equilibrium approach for modelling activity-travel pattern scheduling problems in multi-modal transit networks with uncertainty

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  • Xiao Fu
  • William Lam

Abstract

An understanding of the interaction between individuals’ activities and travel choice behaviour plays an important role in long-term transit service planning. In this paper, an activity-based network equilibrium model for scheduling daily activity-travel patterns (DATPs) in multi-modal transit networks under uncertainty is presented. In the proposed model, the DATP choice problem is transformed into a static traffic assignment problem by constructing a new super-network platform. With the use of the new super-network platform, individuals’ activity and travel choices such as time and space coordination, activity location, activity sequence and duration, and route/mode choices, can be simultaneously considered. In order to capture the stochastic characteristics of different activities, activity utilities are assumed in this study to be time-dependent and stochastic in relation to the activity types. A concept of DATP budget utility is proposed for modelling the uncertainty of activity utility. An efficient solution algorithm without prior enumeration of DATPs is developed for solving the DATP scheduling problem in multi-modal transit networks. Numerical examples are used to illustrate the application of the proposed model and the solution algorithm. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • 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.
    • Handle: RePEc:kap:transp:v:41:y:2014:i:1:p:37-55
    DOI: 10.1007/s11116-013-9470-9
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    References listed on IDEAS

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    1. Lo, Hong K. & Yip, C. W. & Wan, K. H., 2003. "Modeling transfer and non-linear fare structure in multi-modal network," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 149-170, February.
    2. Tong, C.O. & Wong, S.C., 1998. "A stochastic transit assignment model using a dynamic schedule-based network," Transportation Research Part B: Methodological, Elsevier, vol. 33(2), pages 107-121, April.
    3. Hai-Jun Huang & William Lam, 2005. "A Stochastic Model for Combined Activity/Destination/Route Choice Problems," Annals of Operations Research, Springer, vol. 135(1), pages 111-125, March.
    4. Ram Pendyala & Toshiyuki Yamamoto & Ryuichi Kitamura, 2002. "On the formulation of time-space prisms to model constraints on personal activity-travel engagement," Transportation, Springer, vol. 29(1), pages 73-94, February.
    5. Adler, Thomas & Ben-Akiva, Moshe, 1979. "A theoretical and empirical model of trip chaining behavior," Transportation Research Part B: Methodological, Elsevier, vol. 13(3), pages 243-257, September.
    6. 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.
    7. 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.
    8. F. Guerriero & R. Musmanno, 2001. "Label Correcting Methods to Solve Multicriteria Shortest Path Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(3), pages 589-613, December.
    9. 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.
    10. Supernak, Janusz, 1992. "Temporal utility profiles of activities and travel: Uncertainty and decision making," Transportation Research Part B: Methodological, Elsevier, vol. 26(1), pages 60-76, February.
    11. Kitamura, Ryuichi, 1984. "Incorporating trip chaining into analysis of destination choice," Transportation Research Part B: Methodological, Elsevier, vol. 18(1), pages 67-81, February.
    12. Nielsen, Otto Anker, 2000. "A stochastic transit assignment model considering differences in passengers utility functions," Transportation Research Part B: Methodological, Elsevier, vol. 34(5), pages 377-402, June.
    13. 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.
    14. 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.
    15. Toshiyuki Yamamoto & Ryuichi Kitamura, 1999. "An analysis of time allocation to in-home and out-of-home discretionary activities across working days and non- working days," Transportation, Springer, vol. 26(2), pages 231-250, May.
    16. Moshe Hirsh & Joseph N. Prashkea & Moshe Ben-Akiva, 1986. "Dynamic Model of Weekly Activity Pattern," Transportation Science, INFORMS, vol. 20(1), pages 24-36, February.
    17. Recker, W. W., 1995. "The household activity pattern problem: General formulation and solution," Transportation Research Part B: Methodological, Elsevier, vol. 29(1), pages 61-77, February.
    18. Hu Shao & William Lam & Mei Tam, 2006. "A Reliability-Based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand," Networks and Spatial Economics, Springer, vol. 6(3), pages 173-204, September.
    19. Chow, Joseph Y.J. & Recker, Will W., 2012. "Inverse optimization with endogenous arrival time constraints to calibrate the household activity pattern problem," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 463-479.
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    Cited by:

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    2. Boqing Wang & Jiajun Li & Fan Jiang, 2024. "Road–Rail Intermodal Travel Mode Choice Behavior Considering Attitude Factors," Sustainability, MDPI, vol. 16(14), pages 1-19, July.
    3. 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).
    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. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Sheila Ferrer & Tomás Ruiz, 2017. "Comparison on travel scheduling between driving and walking trips by habitual car users," Transportation, Springer, vol. 44(1), pages 27-48, January.
    11. 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.
    12. Cantelmo, Guido & Viti, Francesco & Cipriani, Ernesto & Nigro, Marialisa, 2018. "A utility-based dynamic demand estimation model that explicitly accounts for activity scheduling and duration," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 303-320.
    13. 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.
    14. Laura Alessandretti & Luis Guillermo Natera Orozco & Meead Saberi & Michael Szell & Federico Battiston, 2023. "Multimodal urban mobility and multilayer transport networks," Environment and Planning B, , vol. 50(8), pages 2038-2070, October.
    15. Gu, Yu & Fu, Xiao & Liu, Zhiyuan & Xu, Xiangdong & Chen, Anthony, 2020. "Performance of transportation network under perturbations: Reliability, vulnerability, and resilience," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    16. Fu, Xiao & Zuo, Yufan & Zhang, Shanqi & Liu, Zhiyuan, 2022. "Measuring joint space-time accessibility in transit network under travel time uncertainty," Transport Policy, Elsevier, vol. 116(C), pages 355-368.
    17. 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.
    18. Ge Gao & Huijun Sun & Jianjun Wu, 2019. "Activity-based trip chaining behavior analysis in the network under the parking fee scheme," Transportation, Springer, vol. 46(3), pages 647-669, June.
    19. 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.
    20. 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.

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