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An augmented lagrangean dual algorithm for link capacity side constrained traffic assignment problems

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Cited by:

  1. José R. Correa & Andreas S. Schulz & Nicolás E. Stier-Moses, 2004. "Selfish Routing in Capacitated Networks," Mathematics of Operations Research, INFORMS, vol. 29(4), pages 961-976, November.
  2. Abdelfettah Laouzai & Rachid Ouafi, 2022. "A prediction model for atmospheric pollution reduction from urban traffic," Environment and Planning B, , vol. 49(2), pages 566-584, February.
  3. Frédéric Babonneau & Jean-Philippe Vial, 2008. "An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands," Transportation Science, INFORMS, vol. 42(2), pages 249-260, May.
  4. Chen, H. K. & Chang, M. S. & Wang, C. Y., 2001. "Dynamic capacitated user-optimal departure time/route choice problem with time-window," European Journal of Operational Research, Elsevier, vol. 132(3), pages 603-618, August.
  5. Wu, Xin & Nie, Lei & Xu, Meng & Yan, Fei, 2018. "A perishable food supply chain problem considering demand uncertainty and time deadline constraints: Modeling and application to a high-speed railway catering service," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 186-209.
  6. Maëlle Zimmermann & Emma Frejinger & Patrice Marcotte, 2021. "A Strategic Markovian Traffic Equilibrium Model for Capacitated Networks," Transportation Science, INFORMS, vol. 55(3), pages 574-591, May.
  7. Luan, Xiaojie & Eikenbroek, Oskar A.L. & Corman, Francesco & van Berkum, Eric C., 2024. "Passenger social rerouting strategies in capacitated public transport systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
  8. Larsson, Torbjörn & Patriksson, Michael & Rydergren, Clas, 2004. "A column generation procedure for the side constrained traffic equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 17-38, January.
  9. Ferrari, Paolo, 2002. "Road network toll pricing and social welfare," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 471-483, June.
  10. Seungkyu Ryu & Anthony Chen & Xiangdong Xu & Keechoo Choi, 2014. "A Dual Approach for Solving the Combined Distribution and Assignment Problem with Link Capacity Constraints," Networks and Spatial Economics, Springer, vol. 14(2), pages 245-270, June.
  11. Fotouhi, Hossein & Moryadee, Seksun & Miller-Hooks, Elise, 2017. "Quantifying the resilience of an urban traffic-electric power coupled system," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 79-94.
  12. Raadsen, Mark P.H. & Bliemer, Michiel C.J., 2023. "General solution scheme for the static link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 108-135.
  13. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C. & Fu, Xiaowen, 2010. "Optimal route allocation in a liberalizing airline market," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 886-902, August.
  14. Michael Patriksson & R. Tyrrell Rockafellar, 2002. "A Mathematical Model and Descent Algorithm for Bilevel Traffic Management," Transportation Science, INFORMS, vol. 36(3), pages 271-291, August.
  15. Correa, José R. & Schulz, Andreas S. & Stier-Moses, Nicolás E., 2008. "A geometric approach to the price of anarchy in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 457-469, November.
  16. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
  17. Ferrari, Paolo, 2005. "Road pricing and users' surplus," Transport Policy, Elsevier, vol. 12(6), pages 477-487, November.
  18. Bliemer, Michiel C.J. & Raadsen, Mark P.H., 2020. "Static traffic assignment with residual queues and spillback," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 303-319.
  19. Huey‐Kuo Chen & Huey‐Wen Chou, 2008. "Supply chain network equilibrium problem with capacity constraints," Papers in Regional Science, Wiley Blackwell, vol. 87(4), pages 605-621, November.
  20. Hamdouch, Younes & Florian, Michael & Hearn, Donald W. & Lawphongpanich, Siriphong, 2007. "Congestion pricing for multi-modal transportation systems," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 275-291, March.
  21. Chi Xie & Xing Wu & Stephen Boyles, 2019. "Traffic equilibrium with a continuously distributed bound on travel weights: the rise of range anxiety and mental account," Annals of Operations Research, Springer, vol. 273(1), pages 279-310, February.
  22. Zhou, Bojian & Bliemer, Michiel & Yang, Hai & He, Jie, 2015. "A trial-and-error congestion pricing scheme for networks with elastic demand and link capacity constraints," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 77-92.
  23. Feng, Liyang & Xie, Jun & Liu, Xiaobo & Tang, Youhua & Wang, David Z.W. & Nie, Yu (Marco), 2024. "Is order-2 proportionality good enough for approximating the most likely path flow in user equilibrium traffic assignment?," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
  24. Yildirim, Mehmet Bayram & Hearn, Donald W., 2005. "A first best toll pricing framework for variable demand traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 659-678, September.
  25. 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.
  26. Olaf Jahn & Rolf H. Möhring & Andreas S. Schulz & Nicolás E. Stier-Moses, 2005. "System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion," Operations Research, INFORMS, vol. 53(4), pages 600-616, August.
  27. Ferrari, Paolo, 1997. "Capacity constraints in urban transport networks," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 291-301, August.
  28. Ryu, Seungkyu & Chen, Anthony & Michael Zhang, H. & Recker, Will, 2014. "Path flow estimator for planning applications in small communities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 69(C), pages 212-242.
  29. Huang, Hai-Jun & Xu, Gang, 1998. "Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems," European Journal of Operational Research, Elsevier, vol. 105(1), pages 52-65, February.
  30. Jahn, Olaf & Möhring, Rolf & Schulz, Andreas & Stier Moses, Nicolás, 2004. "System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion," Working papers 4394-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  31. Zhong, R.X. & Sumalee, A. & Friesz, T.L. & Lam, William H.K., 2011. "Dynamic user equilibrium with side constraints for a traffic network: Theoretical development and numerical solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1035-1061, August.
  32. Gu, Xiaoning & Chen, Chao & Feng, Tao & Yao, Baozhen, 2024. "A novel regional traffic control strategy for mixed traffic system with the construction of congestion warning communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
  33. Ren-Yong Guo & Hai Yang & Hai-Jun Huang & Zhijia Tan, 2016. "Day-to-Day Flow Dynamics and Congestion Control," Transportation Science, INFORMS, vol. 50(3), pages 982-997, August.
  34. Zhaoqi Zang & Xiangdong Xu & Anthony Chen & Chao Yang, 2022. "Modeling the α-max capacity of transportation networks: a single-level mathematical programming formulation," Transportation, Springer, vol. 49(4), pages 1211-1243, August.
  35. Correa, Jose R. & Schulz, Andreas S. & Stier Moses, Nicolas E., 2003. "Selfish Routing in Capacitated Networks," Working papers 4319-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  36. Cruz, F.R.B. & van Woensel, T. & MacGregor Smith, J. & Lieckens, K., 2010. "On the system optimum of traffic assignment in M/G/c/c state-dependent queueing networks," European Journal of Operational Research, Elsevier, vol. 201(1), pages 183-193, February.
  37. Michael Patriksson, 2004. "Sensitivity Analysis of Traffic Equilibria," Transportation Science, INFORMS, vol. 38(3), pages 258-281, August.
  38. Graf, Lukas & Harks, Tobias & Palkar, Prashant, 2025. "Dynamic traffic assignment for electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 195(C).
  39. Lv, Si & Wei, Zhinong & Chen, Sheng & Sun, Guoqiang & Wang, Dan, 2021. "Integrated demand response for congestion alleviation in coupled power and transportation networks," Applied Energy, Elsevier, vol. 283(C).
  40. Wang, Qianni & Feng, Liyang & Li, Jiayang & Xie, Jun & Nie, Yu (Marco), 2025. "Entropy maximization in multi-class traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 192(C).
  41. Babak Javani & Abbas Babazadeh, 2020. "Path-Based Dynamic User Equilibrium Model with Applications to Strategic Transportation Planning," Networks and Spatial Economics, Springer, vol. 20(2), pages 329-366, June.
  42. Xin Lin & Chris M. J. Tampère & Stef Proost, 2020. "Optimizing Traffic System Performance with Environmental Constraints: Tolls and/or Additional Delays," Networks and Spatial Economics, Springer, vol. 20(1), pages 137-177, March.
  43. Larsson, Torbjörn & Patriksson, Michael, 1999. "Side constrained traffic equilibrium models-- analysis, computation and applications," Transportation Research Part B: Methodological, Elsevier, vol. 33(4), pages 233-264, May.
  44. Bagloee, Saeed Asadi & Sarvi, Majid & Wolshon, Brian & Dixit, Vinayak, 2017. "Identifying critical disruption scenarios and a global robustness index tailored to real life road networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 98(C), pages 60-81.
  45. Li, Xinyan & Xie, Chi & Bao, Zhaoyao, 2022. "A multimodal multicommodity network equilibrium model with service capacity and bottleneck congestion for China-Europe containerized freight flows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
  46. Smith, Mike & Huang, Wei & Viti, Francesco & Tampère, Chris M.J. & Lo, Hong K., 2019. "Quasi-dynamic traffic assignment with spatial queueing, control and blocking back," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 140-166.
  47. Alfredo Garcia & Mingyi Hong & Jorge Barrera, 2012. "“Cap and Trade” for Congestion Control," Dynamic Games and Applications, Springer, vol. 2(3), pages 280-293, September.
  48. Nie, Yu (Marco), 2017. "On the potential remedies for license plate rationing," Economics of Transportation, Elsevier, vol. 9(C), pages 37-50.
  49. Yasushi Masuda & Akira Tsuji, 2019. "Congestion Control for a System with Parallel Stations and Homogeneous Customers Using Priority Passes," Networks and Spatial Economics, Springer, vol. 19(1), pages 293-318, March.
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