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Research Article

Evolution of multimodal final user equilibrium considering public transport network design history

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Pages 923-953 | Received 03 Apr 2021, Accepted 23 Aug 2021, Published online: 10 Sep 2021

References

  • Aashtiani, Heayat Zakaie, and Thomas L. Magnanti. 1981. “Equilibria on a Congested Transportation Network.” SIAM Journal on Algebraic Discrete Methods 2 (3): 213–226.
  • Alisoltani, Negin, Ludovic Leclercq, and Mahdi Zargayouna. 2021. “Can Dynamic Ride-Sharing Reduce Traffic Congestion?” Transportation Research Part B: Methodological 145: 212–246.
  • Ameli, Mostafa. 2019. “Heuristic Methods for Calculating Dynamic Traffic Assignment.” PhD diss., IFSTTAR Paris, Université de Lyon & University of Paris-Est.
  • Ameli, Mostafa, Jean Patrick Lebacque, and Ludovic Leclercq. 2018. “Day-To-Day Multimodal Dynamic Traffic Assignment: Impacts of the Learning Process in Case of Non-Unique Solutions.” In DTA 2018, 7th International Symposium on Dynamic Traffic Assignment, 5p. Hong Kong.
  • Ameli, M., J. P. Lebacque, and L. Leclercq. 2020a. “Cross-Comparison of Convergence Algorithms to Solve Trip-Based Dynamic Traffic Assignment Problems.” Computer-Aided Civil and Infrastructure Engineering 35 (3): 219–240.
  • Ameli, Mostafa, Jean-Patrick Lebacque, and Ludovic Leclercq. 2020b. “Improving Traffic Network Performance with Road Banning Strategy: A Simulation Approach Comparing User Equilibrium and System Optimum.” Simulation Modelling Practice and Theory 99: Article ID 101995.
  • Ameli, Mostafa, Jean-Patrick Lebacque, and Ludovic Leclercq. 2020c. “Simulation-Based Dynamic Traffic Assignment: Meta-Heuristic Solution Methods with Parallel Computing.” Computer-Aided Civil and Infrastructure Engineering 35 (10): 1047–1062.
  • Ameli, Mostafa, Jean-Patrick Lebacque, and Ludovic Leclercq. 2021. “Computational Methods for Calculating Multimodal Multiclass Traffic Network Equilibrium: Simulation Benchmark on a Large-Scale Test Case.” Journal of Advanced Transportation 2021: Article ID 8815653.
  • Beckmann, Martin, Charles B. McGuire, and Christopher B. Winsten. 1956. Studies in the Economics of Transportation. Technical Report.
  • Bifulco, Gennaro N., Giulio E. Cantarella, Fulvio Simonelli, and Pietro Velonà. 2016. “Advanced Traveller Information Systems Under Recurrent Traffic Conditions: Network Equilibrium and Stability.” Transportation Research Part B: Methodological 92: 73–87.
  • Bureau of Public Roads, U.S.A.. 1964. Traffic Assignment Manual for Application with a Large, High Speed Computer. US Dept. of Commerce, Bureau of Public Roads, Office of Planning, Urban…
  • Corman, Francesco, Francesco Viti, and Rudy R. Negenborn. 2017. “Equilibrium Models in Multimodal Container Transport Systems.” Flexible Services and Manufacturing Journal 29 (1): 125–153.
  • Dafermos, Stella. 1982. “The General Multimodal Network Equilibrium Problem with Elastic Demand.” Networks 12 (1): 57–72.
  • Daganzo, Carlos F. 1985. “The Uniqueness of a Time-Dependent Equilibrium Distribution of Arrivals At a Single Bottleneck.” Transportation Science 19 (1): 29–37.
  • Djavadian, Shadi, and Joseph Y. J. Chow. 2017. “Agent-Based Day-To-Day Adjustment Process to Evaluate Dynamic Flexible Transport Service Policies.” Transportmetrica B: Transport Dynamics 5 (3): 281–306.
  • Florian, Michael, and Donald Hearn. 1995. “Network Equilibrium Models and Algorithms.” Handbooks in Operations Research and Management Science 8: 485–550.
  • Florian, Michael, and Calin D. Morosan. 2014. “On Uniqueness and Proportionality in Multi-Class Equilibrium Assignment.” Transportation Research Part B: Methodological 70: 173–185.
  • Friesz, Terry L., David Bernstein, Z. Suo, and Roger L. Tobin. 2001. “Dynamic Network User Equilibrium with State-Dependent Time Lags.” Networks and Spatial Economics 1 (3–4): 319–347.
  • Halat, Hooram, Hani S. Mahmassani, Ali Zockaie, and Peter Vovsha. 2017. “Activity Cancellation and Rescheduling by Stressed Households: Improving Convergence in Integrated Activity-Based and Dynamic Traffic Assignment Models.” Transportation Research Record 2664 (1): 100–109.
  • Huang, Hai-Jun, and William H. K. Lam. 2002. “Modeling and Solving the Dynamic User Equilibrium Route and Departure Time Choice Problem in Network with Queues.” Transportation Research Part B: Methodological 36 (3): 253–273.
  • Iryo, Takamasa. 2011. “Multiple Equilibria in a Dynamic Traffic Network.” Transportation Research Part B: Methodological 45 (6): 867–879.
  • Iryo, Takamasa. 2013. “Properties of Dynamic User Equilibrium Solution: Existence, Uniqueness, Stability, and Robust Solution Methodology.” Transportmetrica B: Transport Dynamics 1 (1): 52–67.
  • Iryo, Takamasa. 2015. “Investigating Factors for Existence of Multiple Equilibria in Dynamic Traffic Network.” Networks and Spatial Economics 15 (3): 599–616.
  • Iryo, Takamasa, and Michael J. Smith. 2018. “On the Uniqueness of Equilibrated Dynamic Traffic Flow Patterns in Unidirectional Networks.” Transportation Research Part B: Methodological 117: 757–773.
  • Iryo, Takamasa, and David Watling. 2019. “Properties of Equilibria in Transport Problems with Complex Interactions Between Users.” Transportation Research Part B: Methodological 126: 87–114.
  • Janson, Bruce N. 1991. “Dynamic Traffic Assignment for Urban Road Networks.” Transportation Research Part B: Methodological 25 (2–3): 143–161.
  • Jiang, Yu, W. Y. Szeto, Jiancheng Long, and Ke Han. 2016. “Multi-Class Dynamic Traffic Assignment with Physical Queues: Intersection-Movement-Based Formulation and Paradox.” Transportmetrica A: Transport Science 12 (10): 878–908.
  • Jin, Wen-Long. 2007. “A Dynamical System Model of the Traffic Assignment Problem.” Transportation Research Part B: Methodological 41 (1): 32–48.
  • Konishi, Hideo. 2004. “Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters.” Transportation Science 38 (3): 315–330.
  • Krug, Jean, Arthur Burianne, and Ludovic Leclercq. 2019. Reconstituting Demand Patterns of the City of Lyon by Using Multiple Gis Data Sources. Technical Report. University of Lyon, ENTPE, LICIT.
  • Laval, Jorge A., and Ludovic Leclercq. 2008. “Microscopic Modeling of the Relaxation Phenomenon Using a Macroscopic Lane-Changing Model.” Transportation Research Part B: Methodological 42 (6): 511–522.
  • Lebacque, J. P., T. Y. Ma, and M. M. Khoshyaran. 2009. “The Cross-Entropy Field for Multi-Modal Dynamic Assignment.” In Proceedings of the Traffic and Granular Flow'07. Shanghai, China.
  • Leclercq, Ludovic. 2007a. “Bounded Acceleration Close to Fixed and Moving Bottlenecks.” Transportation Research Part B: Methodological 41 (3): 309–319.
  • Leclercq, Ludovic. 2007b. “Hybrid Approaches to the Solutions of the “Lighthill–Whitham–Richards” Model.” Transportation Research Part B: Methodological 41 (7): 701–709.
  • Leclercq, Ludovic, Jorge Andres Laval, and Estelle Chevallier. 2007. “The Lagrangian Coordinates and What it Means for First Order Traffic Flow Models.” In Transportation and Traffic Theory 2007. Papers Selected for Presentation at ISTTT17.
  • Lindsey, Robin. 2004. “Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes.” Transportation Science 38 (3): 293–314.
  • Ma, Xiaoyu, Wei Xu, and Caihua Chen. 2021. “A Day-To-Day Dynamic Evolution Model and Pricing Scheme with Bi-Objective User Equilibrium.” Transportmetrica B: Transport Dynamics 9 (1): 283–302.
  • Marcotte, Patrice, and Laura Wynter. 2004. “A New Look At the Multiclass Network Equilibrium Problem.” Transportation Science 38 (3): 282–292.
  • Mounce, Richard. 2007. “Existence of Equilibrium in a Continuous Dynamic Queueing Model for Traffic Networks.” In 4th IMA International Conference on Mathematics in TransportInstitute of Mathematics and its Applications.London, UK.
  • Mounce, Richard, and Mike Smith. 2007. “Uniqueness of Equilibrium in Steady State and Dynamic Traffic Networks.” In Transportation and Traffic Theory 2007 (ISTTT17). London, UK.
  • Nagurney, Anna B. 1984. “Comparative Tests of Multimodal Traffic Equilibrium Methods.” Transportation Research Part B: Methodological 18 (6): 469–485.
  • Nagurney, Anna, and Ding Zhang. 2012. Projected Dynamical Systems and Variational Inequalities with Applications. Vol. 2. New York, US: Springer Science & Business Media.
  • Netter, Maurice. 1972. “Affectation De Trafic Et Tarification Au Cout Marginal Social: Critique De Quelques Idees Admises.” Transportation Research 6 (4): 411–440.
  • Nilsson, Gustav, Piyush Grover, and Uroš Kalabić. 2018. “Assignment and Control of Two-Tiered Vehicle Traffic.” In 2018 IEEE Conference on Decision and Control (CDC), 1023–1028. IEEE.
  • Osawa, Minoru, Haoran Fu, and Takashi Akamatsu. 2018. “First-Best Dynamic Assignment of Commuters with Endogenous Heterogeneities in a Corridor Network.” Transportation Research Part B: Methodological 117: 811–831.
  • Patriksson, Michael. 2015. The Traffic Assignment Problem: Models and Methods. Mineola, New York, US: Courier Dover Publications.
  • Peeta, Srinivas, and Athanasios K. Ziliaskopoulos. 2001. “Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future.” Networks and Spatial Economics 1 (3–4): 233–265.
  • Silva, Hugo E., Robin Lindsey, André De Palma, and Vincent A. C. Van den Berg. 2016. “On the Existence and Uniqueness of Equilibrium in the Bottleneck Model with Atomic Users.” Transportation Science 51 (3): 863–881.
  • Smith, Mt J. 1979. “The Existence, Uniqueness and Stability of Traffic Equilibria.” Transportation Research Part B: Methodological 13 (4): 295–304.
  • Smith, M. J. 1983. “An Algorithm for Solving Asymmetric Equilibrium Problems with a Continuous Cost-Flow Function.” Transportation Research Part B: Methodological 17 (5): 365–371.
  • Smith, M. J. 1993. “A New Dynamic Traffic Model and the Existence and Calculation of Dynamic User Equilibria on Congested Capacity-Constrained Road Networks.” Transportation Research Part B: Methodological 27 (1): 49–63.
  • Sun, Chao, Lin Cheng, and Ting Xu. 2014. “Range of User-Equilibrium Route Flow with Applications.” Procedia-Social and Behavioral Sciences 138: 86–96.
  • Wardrop, John Glen. 1952. “ROAD PAPER. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH.” Proceedings of the Institution of Civil Engineers 1 (3): 325–362.
  • Wie, Byung-Wook, Roger L. Tobin, and Malachy Carey. 2002. “The Existence, Uniqueness and Computation of An Arc-Based Dynamic Network User Equilibrium Formulation.” Transportation Research Part B: Methodological 36 (10): 897–918.
  • Wynter, Laura. 2001. A Convergent Algorithm for the Multimodal Traffic Equilibrium Problem. Technical Report 4125. Institut National De Recherche en Informatique et en Automatique, Le Chesnay Cedex, France. Available from Internet: https://hal.inria.fr/file/index/docid/72503/filename/RR-4125.pdf.
  • Yang, Hai, and Hai-Jun Huang. 2004. “The Multi-Class, Multi-Criteria Traffic Network Equilibrium and Systems Optimum Problem.” Transportation Research Part B: Methodological 38 (1): 1–15.
  • Yang, Hai, and Hai-Jun Huang. 2005. Mathematical and Economic Theory of Road Pricing. The Boulevard, Langford Lane Kidlington, Oxford United Kingdom: Elsevier.
  • Zhao, Xiaomei, Chunhua Wan, and Jun Bi. 2018. “Day-To-Day Assignment Models and Traffic Dynamics Under Information Provision.” Networks and Spatial Economics 19 (2): 473–502.

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