IDEAS home Printed from https://ideas.repec.org/r/inm/oropre/v41y1993i1p179-191.html
   My bibliography  Save this item

A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as


Cited by:

  1. Evstigneev, Igor & Taksar, Michael, 2009. "Dynamic interaction models of economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 166-182, January.
  2. Jozwiak, Akos & Milkovics, Matyas & Lakner, Zoltan, 2016. "A Network-Science Support System for Food Chain Safety: A Case from Hungarian Cattle Production," International Food and Agribusiness Management Review, International Food and Agribusiness Management Association, vol. 19(A), pages 1-26, June.
  3. Qixiu Cheng & Zhiyuan Liu & Feifei Liu & Ruo Jia, 2017. "Urban dynamic congestion pricing: an overview and emerging research needs," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 21(0), pages 3-18, August.
  4. Moore, II, James E. & Kim, Geunyoung & Cho, Seongdil & Hu, Hsi-hwa & Xu, Rong, 1997. "Evaluating System ATMIS Technologies Via Rapid Estimation Of Network Flows: Final Report," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5c70f3d9, Institute of Transportation Studies, UC Berkeley.
  5. Bartolozzi, F. & de Gaetano, A. & Di Lena, E. & Marino, S. & Nieddu, L. & Patrizi, G., 2000. "Operational research techniques in medical treatment and diagnosis: A review," European Journal of Operational Research, Elsevier, vol. 121(3), pages 435-466, March.
  6. Dial, Robert B., 1999. "Minimal-revenue congestion pricing part I: A fast algorithm for the single-origin case," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 189-202, April.
  7. Nie, Yu (Marco), 2010. "Equilibrium analysis of macroscopic traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 62-72, January.
  8. Zhang, Michael & Shen, Wei & Nie, Yu & Ma, Jingtao, 2008. "Integrated Construction Zone Traffic Management," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1bd50918, Institute of Transportation Studies, UC Berkeley.
  9. Song, Wenjing & Han, Ke & Wang, Yiou & Friesz, Terry L. & del Castillo, Enrique, 2018. "Statistical metamodeling of dynamic network loading," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 740-756.
  10. Florian, Michael & Mahut, Michael & Tremblay, Nicolas, 2008. "Application of a simulation-based dynamic traffic assignment model," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1381-1392, September.
  11. Takamasa Iryo, 2015. "Investigating Factors for Existence of Multiple Equilibria in Dynamic Traffic Network," Networks and Spatial Economics, Springer, vol. 15(3), pages 599-616, September.
  12. Soulaymane Kachani & Georgia Perakis, 2009. "A Dynamic Travel Time Model for Spillback," Networks and Spatial Economics, Springer, vol. 9(4), pages 595-618, December.
  13. Light, Bar & Weintraub, Gabriel, 2018. "Mean Field Equilibrium: Uniqueness, Existence, and Comparative Statics," Research Papers 3731, Stanford University, Graduate School of Business.
  14. Bierlaire, Michel, 2002. "The total demand scale: a new measure of quality for static and dynamic origin-destination trip tables," Transportation Research Part B: Methodological, Elsevier, vol. 36(9), pages 837-850, November.
  15. S. Waller & Athanasios Ziliaskopoulos, 2006. "A Combinatorial user optimal dynamic traffic assignment algorithm," Annals of Operations Research, Springer, vol. 144(1), pages 249-261, April.
  16. Jiancheng Long & Hai-Jun Huang & Ziyou Gao & W. Y. Szeto, 2013. "An Intersection-Movement-Based Dynamic User Optimal Route Choice Problem," Operations Research, INFORMS, vol. 61(5), pages 1134-1147, October.
  17. Duong Viet Thong & Aviv Gibali & Mathias Staudigl & Phan Tu Vuong, 2021. "Computing Dynamic User Equilibrium on Large-Scale Networks Without Knowing Global Parameters," Networks and Spatial Economics, Springer, vol. 21(3), pages 735-768, September.
  18. Nie, Yu (Marco), 2011. "A cell-based Merchant-Nemhauser model for the system optimum dynamic traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 329-342, February.
  19. Laura Scrimali, 2012. "Infinite Dimensional Duality Theory Applied to Investment Strategies in Environmental Policy," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 258-277, July.
  20. Jang, Wonjae & Ran, Bin & Choi, Keechoo, 2005. "A discrete time dynamic flow model and a formulation and solution method for dynamic route choice," Transportation Research Part B: Methodological, Elsevier, vol. 39(7), pages 593-620, August.
  21. Dial, Robert B., 2006. "A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 917-936, December.
  22. Chen, Xiaoming & Zhou, Xuesong & List, George F., 2011. "Using time-varying tolls to optimize truck arrivals at ports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 965-982.
  23. 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.
  24. Han, Sangjin, 2007. "A route-based solution algorithm for dynamic user equilibrium assignments," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1094-1113, December.
  25. Antonino Maugeri & Laura Scrimali, 2016. "A New Approach to Solve Convex Infinite-Dimensional Bilevel Problems: Application to the Pollution Emission Price Problem," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 370-387, May.
  26. Richard Mounce, 2007. "Convergence to Equilibrium in Dynamic Traffic Networks when Route Cost Is Decay Monotone," Transportation Science, INFORMS, vol. 41(3), pages 409-504, August.
  27. Ban, Xuegang (Jeff) & Pang, Jong-Shi & Liu, Henry X. & Ma, Rui, 2012. "Continuous-time point-queue models in dynamic network loading," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 360-380.
  28. S. Mahmassani, Hani & F. Hyland, Michael, 2016. "Gap-based transit assignment algorithm with vehicle capacity constraints: Simulation-based implementation and large-scale applicationAuthor-Name: Verbas, Ömer," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 1-16.
  29. Tong, C. O. & Wong, S. C., 2000. "A predictive dynamic traffic assignment model in congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 625-644, November.
  30. Nantes, Alfredo & Ngoduy, Dong & Miska, Marc & Chung, Edward, 2015. "Probabilistic travel time progression and its application to automatic vehicle identification data," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 131-145.
  31. Ximing Wang & Panos M. Pardalos, 2017. "A modified active set algorithm for transportation discrete network design bi-level problem," Journal of Global Optimization, Springer, vol. 67(1), pages 325-342, January.
  32. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
  33. Lo, Hong K. & Chen, Anthony, 2000. "Traffic equilibrium problem with route-specific costs: formulation and algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 493-513, August.
  34. Adlakha, Sachin & Johari, Ramesh & Weintraub, Gabriel Y., 2015. "Equilibria of dynamic games with many players: Existence, approximation, and market structure," Journal of Economic Theory, Elsevier, vol. 156(C), pages 269-316.
  35. Ke Han & Terry L. Friesz, 2017. "Continuity of the Effective Delay Operator for Networks Based on the Link Delay Model," Networks and Spatial Economics, Springer, vol. 17(4), pages 1095-1110, December.
  36. Yu, Hao & Ma, Rui & Zhang, H. Michael, 2018. "Optimal traffic signal control under dynamic user equilibrium and link constraints in a general network," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 302-325.
  37. Piyapong Suwanno & Chaiwat Yaibok & Noriyasu Tsumita & Atsushi Fukuda & Kestsirin Theerathitichaipa & Manlika Seefong & Sajjakaj Jomnonkwao & Rattanaporn Kasemsri, 2023. "Estimation of the Evacuation Time According to Different Flood Depths," Sustainability, MDPI, vol. 15(7), pages 1-23, April.
  38. Chai, Huajun, 2019. "Dynamic Traffic Routing and Adaptive Signal Control in a Connected Vehicles Environment," Institute of Transportation Studies, Working Paper Series qt9ng3z8vn, Institute of Transportation Studies, UC Davis.
  39. 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.
  40. Jiancheng Long & Wai Yuen Szeto, 2019. "Link-Based System Optimum Dynamic Traffic Assignment Problems in General Networks," Operations Research, INFORMS, vol. 67(1), pages 167-182, January.
  41. Ran, Bin & Hall, Randolph & Boyce, David E., 1995. "A Link-Based Variational Inequality Model for Dynamic Departure Time/Route Choice," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt84t190b3, Institute of Transportation Studies, UC Berkeley.
  42. Carey, Malachy & McCartney, Mark, 2003. "Pseudo-periodicity in a travel-time model used in dynamic traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 37(9), pages 769-792, November.
  43. Y. Ge & B. Sun & H. Zhang & W. Szeto & Xizhao Zhou, 2015. "A Comparison of Dynamic User Optimal States with Zero, Fixed and Variable Tolerances," Networks and Spatial Economics, Springer, vol. 15(3), pages 583-598, September.
  44. Han, S. & Heydecker, B.G., 2006. "Consistent objectives and solution of dynamic user equilibrium models," Transportation Research Part B: Methodological, Elsevier, vol. 40(1), pages 16-34, January.
  45. 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.
  46. Raadsen, Mark P.H. & Bliemer, Michiel C.J., 2019. "Steady-state link travel time methods: Formulation, derivation, classification, and unification," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 167-191.
  47. Laura Scrimali & Cristina Mirabella, 2018. "Cooperation in pollution control problems via evolutionary variational inequalities," Journal of Global Optimization, Springer, vol. 70(2), pages 455-476, February.
  48. Zu, Yue & Heydari, Ruhollah & Chahar, Kiran & Pranoto, Yudi & Cheng, Clark, 2022. "A railcar re-blocking strategy via Mixed Integer Quadratic Programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 162(C).
  49. Xiaoyan Jia & Ruichun He & Chunmin Zhang & Huo Chai, 2018. "A Bi-Level Programming Model of Liquefied Petroleum Gas Transportation Operation for Urban Road Network by Period-Security," Sustainability, MDPI, vol. 10(12), pages 1-20, December.
  50. Xiaoning Zhang & H. Zhang, 2010. "Simultaneous Departure Time/Route Choices in Queuing Networks and a Novel Paradox," Networks and Spatial Economics, Springer, vol. 10(1), pages 93-112, March.
  51. František Kolovský & Ivana Kolingerová, 2022. "The Piecewise Constant/Linear Solution for Dynamic User Equilibrium," Networks and Spatial Economics, Springer, vol. 22(4), pages 737-765, December.
  52. Celikoglu, Hilmi Berk, 2013. "Reconstructing freeway travel times with a simplified network flow model alternating the adopted fundamental diagram," European Journal of Operational Research, Elsevier, vol. 228(2), pages 457-466.
  53. Liu, Yang & Nie, Yu (Marco) & Hall, Jonathan, 2015. "A semi-analytical approach for solving the bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 56-70.
  54. Adam J. Pel & Michiel C.J. Bliemer & Serge P. Hoogendoorn, 2010. "Pre-trip and En-route Route Choice in a Dynamic Traffic Assignment Model," Chapters, in: Chris M.J. Tampere & Francesco Viti & Lambertus H. (Ben) Immers (ed.), New Developments in Transport Planning, chapter 15, Edward Elgar Publishing.
  55. 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.
  56. Xinhua Mao & Jianwei Wang & Changwei Yuan & Wei Yu & Jiahua Gan, 2018. "A Dynamic Traffic Assignment Model for the Sustainability of Pavement Performance," Sustainability, MDPI, vol. 11(1), pages 1-19, December.
  57. Liu, Yang & Li, Yuanyuan & Hu, Lu, 2018. "Departure time and route choices in bottleneck equilibrium under risk and ambiguity," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 774-793.
  58. Long, Jiancheng & Szeto, W.Y. & Du, Jie & Wong, R.C.P., 2017. "A dynamic taxi traffic assignment model: A two-level continuum transportation system approach," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 222-254.
  59. Luo, Shiaw-Shyan & Wang, Chung-Yung & Sung, Yi-Wei, 2018. "Time-dependent trip-chain link travel time estimation model with the first-in–first-out constraint," European Journal of Operational Research, Elsevier, vol. 267(2), pages 415-427.
  60. Jiang, Chenming & Bhat, Chandra R. & Lam, William H.K., 2020. "A bibliometric overview of Transportation Research Part B: Methodological in the past forty years (1979–2019)," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 268-291.
  61. Wang, Yi & Szeto, W.Y. & Han, Ke & Friesz, Terry L., 2018. "Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 370-394.
  62. I. V. Evstigneev & M. I. Taksar, 2001. "Stochastic Economies with Locally Interacting Agents," Working Papers 01-03-018, Santa Fe Institute.
  63. Malachy Carey & Paul Humphreys & Marie McHugh & Ronan McIvor, 2017. "Travel-Time Models With and Without Homogeneity Over Time," Transportation Science, INFORMS, vol. 51(3), pages 882-892, August.
  64. Malachy Carey & Y. Ge, 2012. "Comparison of Methods for Path Flow Reassignment for Dynamic User Equilibrium," Networks and Spatial Economics, Springer, vol. 12(3), pages 337-376, September.
  65. Jiang, Yanqun & Wong, S.C. & Ho, H.W. & Zhang, Peng & Liu, Ruxun & Sumalee, Agachai, 2011. "A dynamic traffic assignment model for a continuum transportation system," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 343-363, February.
  66. Garcia, Alfredo & Reaume, Daniel & Smith, Robert L., 2000. "Fictitious play for finding system optimal routings in dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 147-156, February.
  67. Malachy Carey & Y. E. Ge, 2005. "Convergence of a Discretised Travel-Time Model," Transportation Science, INFORMS, vol. 39(1), pages 25-38, February.
  68. Liu, Wei & Szeto, Wai Yuen, 2020. "Learning and managing stochastic network traffic dynamics with an aggregate traffic representation," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 19-46.
  69. Ekkehard Köhler & Martin Strehler, 2019. "Traffic Signal Optimization: Combining Static and Dynamic Models," Service Science, INFORMS, vol. 53(1), pages 21-41, February.
  70. Sang Nguyen & Stefano Pallottino & Federico Malucelli, 2001. "A Modeling Framework for Passenger Assignment on a Transport Network with Timetables," Transportation Science, INFORMS, vol. 35(3), pages 238-249, August.
  71. Lo, Hong K. & Szeto, W. Y., 2002. "A cell-based variational inequality formulation of the dynamic user optimal assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 421-443, June.
  72. 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.
  73. Long, Jiancheng & Gao, Ziyou & Szeto, W.Y., 2011. "Discretised link travel time models based on cumulative flows: Formulations and properties," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 232-254, January.
  74. Wen-Long Jin, 2021. "A Link Queue Model of Network Traffic Flow," Transportation Science, INFORMS, vol. 55(2), pages 436-455, March.
  75. Han, Ke & Friesz, Terry L. & Yao, Tao, 2013. "A partial differential equation formulation of Vickrey’s bottleneck model, part I: Methodology and theoretical analysis," Transportation Research Part B: Methodological, Elsevier, vol. 49(C), pages 55-74.
  76. 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.
  77. M Carey, 2009. "A framework for user equilibrium dynamic traffic assignment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 395-410, March.
  78. Long, Jiancheng & Szeto, W.Y. & Gao, Ziyou & Huang, Hai-Jun & Shi, Qin, 2016. "The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 179-206.
  79. Han, Ke & Gayah, Vikash V. & Piccoli, Benedetto & Friesz, Terry L. & Yao, Tao, 2014. "On the continuum approximation of the on-and-off signal control on dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 73-97.
  80. 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.
  81. Du, Jie & Wong, S.C. & Shu, Chi-Wang & Zhang, Mengping, 2015. "Reformulating the Hoogendoorn–Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 189-217.
  82. Nie, Xiaojian & Zhang, H.M., 2005. "Delay-function-based link models: their properties and computational issues," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 729-751, September.
  83. Daoli Zhu & Patrice Marcotte, 2000. "On the Existence of Solutions to the Dynamic User Equilibrium Problem," Transportation Science, INFORMS, vol. 34(4), pages 402-414, November.
  84. 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.
  85. Malachy Carey & Y. E. Ge, 2005. "Alternative Conditions for a Well-Behaved Travel Time Model," Transportation Science, INFORMS, vol. 39(3), pages 417-428, August.
  86. Karakostas, George & Kim, Taeyon & Viglas, Anastasios & Xia, Hao, 2011. "On the degradation of performance for traffic networks with oblivious users," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 364-371, February.
  87. Han, Ke & Friesz, Terry L. & Yao, Tao, 2013. "A partial differential equation formulation of Vickrey’s bottleneck model, part II: Numerical analysis and computation," Transportation Research Part B: Methodological, Elsevier, vol. 49(C), pages 75-93.
  88. Rui Ma & Xuegang Ban & Jong-Shi Pang & Henry Liu, 2015. "Submission to the DTA2012 Special Issue: Approximating Time Delays in Solving Continuous-Time Dynamic User Equilibria," Networks and Spatial Economics, Springer, vol. 15(3), pages 443-463, September.
  89. Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2005. "Macroscopic arc performance models with capacity constraints for within-day dynamic traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 319-338, May.
  90. Ban, Xuegang (Jeff) & Pang, Jong-Shi & Liu, Henry X. & Ma, Rui, 2012. "Modeling and solving continuous-time instantaneous dynamic user equilibria: A differential complementarity systems approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 389-408.
  91. Wie, Byung-Wook & Tobin, Roger L. & Carey, Malachy, 2002. "The existence, uniqueness and computation of an arc-based dynamic network user equilibrium formulation," Transportation Research Part B: Methodological, Elsevier, vol. 36(10), pages 897-918, December.
  92. Friesz, Terry L. & Han, Ke & Bagherzadeh, Amir, 2021. "Convergence of fixed-point algorithms for elastic demand dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 336-352.
  93. Huang, Y.P. & Xiong, J.H. & Sumalee, A. & Zheng, N. & Lam, W.H.K. & He, Z.B. & Zhong, R.X., 2020. "A dynamic user equilibrium model for multi-region macroscopic fundamental diagram systems with time-varying delays," Transportation Research Part B: Methodological, Elsevier, vol. 131(C), pages 1-25.
  94. Szeto, W. Y. & Lo, Hong K., 2004. "A cell-based simultaneous route and departure time choice model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 593-612, August.
  95. Li, Jun & Fujiwara, Okitsugu & Kawakami, Shogo, 2000. "A reactive dynamic user equilibrium model in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 605-624, November.
  96. Iryo, Takamasa, 2011. "Multiple equilibria in a dynamic traffic network," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 867-879, July.
  97. Carey, Malachy & Subrahmanian, Eswaran, 2000. "An approach to modelling time-varying flows on congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(3), pages 157-183, April.
  98. Long, Jiancheng & Wang, Chao & Szeto, W.Y., 2018. "Dynamic system optimum simultaneous route and departure time choice problems: Intersection-movement-based formulations and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 166-206.
  99. Friesz, Terry L. & Han, Ke, 2019. "The mathematical foundations of dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 309-328.
  100. Wie, Byung-Wook & Tobin, Roger L., 1998. "Dynamic congestion pricing models for general traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 32(5), pages 313-327, June.
  101. Rui Ma & Xuegang (Jeff) Ban & Jong-Shi Pang, 2018. "A Link-Based Differential Complementarity System Formulation for Continuous-Time Dynamic User Equilibria with Queue Spillbacks," Transportation Science, INFORMS, vol. 52(3), pages 564-592, June.
  102. Zhu, Feng & Ukkusuri, Satish V., 2017. "Efficient and fair system states in dynamic transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 272-289.
  103. Chow, Andy H.F., 2009. "Properties of system optimal traffic assignment with departure time choice and its solution method," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 325-344, March.
  104. Robert B. Dial, 1999. "Network-Optimized Road Pricing: Part I: A Parable and a Model," Operations Research, INFORMS, vol. 47(1), pages 54-64, February.
  105. 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.
  106. 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.
  107. Y. W. Xu & J. H. Wu & M. Florian & P. Marcotte & D. L. Zhu, 1999. "Advances in the Continuous Dynamic Network Loading Problem," Transportation Science, INFORMS, vol. 33(4), pages 341-353, November.
  108. Bar-Gera, Hillel & Carey, Malachy, 2017. "Representation requirements for perfect first-in-first-out verification in continuous flow dynamic models," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 284-301.
  109. Michael W. Levin & Melissa Duell & S. Travis Waller, 2020. "Arrival Time Reliability in Strategic User Equilibrium," Networks and Spatial Economics, Springer, vol. 20(3), pages 803-831, September.
  110. Tian, Qiong & Liu, Peng & Ong, Ghim Ping & Huang, Hai-Jun, 2021. "Morning commuting pattern and crowding pricing in a many-to-one public transit system with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
  111. Carey, Malachy & Bar-Gera, Hillel & Watling, David & Balijepalli, Chandra, 2014. "Implementing first-in–first-out in the cell transmission model for networks," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 105-118.
  112. Yao, Jia & Huang, Wenhua & Chen, Anthony & Cheng, Zhanhong & An, Shi & Xu, Guangming, 2019. "Paradox links can improve system efficiency: An illustration in traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 35-49.
  113. Carey, Malachy & Ge, Y. E., 2003. "Comparing whole-link travel time models," Transportation Research Part B: Methodological, Elsevier, vol. 37(10), pages 905-926, December.
  114. 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.
  115. Samitha Samaranayake & Walid Krichene & Jack Reilly & Maria Laura Delle Monache & Paola Goatin & Alexandre Bayen, 2018. "Discrete-Time System Optimal Dynamic Traffic Assignment (SO-DTA) with Partial Control for Physical Queuing Networks," Transportation Science, INFORMS, vol. 52(4), pages 982-1001, August.
  116. 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.
  117. Hoogendoorn, Serge P. & Bovy, Piet H. L., 2004. "Dynamic user-optimal assignment in continuous time and space," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 571-592, August.
  118. Gentile, Guido, 2016. "Solving a Dynamic User Equilibrium model based on splitting rates with Gradient Projection algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 92(PB), pages 120-147.
  119. Friesz, Terry L. & Rigdon, Matthew A. & Mookherjee, Reetabrata, 2006. "Differential variational inequalities and shipper dynamic oligopolistic network competition," Transportation Research Part B: Methodological, Elsevier, vol. 40(6), pages 480-503, July.
  120. Han, Ke & Piccoli, Benedetto & Friesz, Terry L., 2016. "Continuity of the path delay operator for dynamic network loading with spillback," Transportation Research Part B: Methodological, Elsevier, vol. 92(PB), pages 211-233.
  121. Li, Jia & Zhang, H. Michael, 2015. "Bounding tandem queuing system performance with variational theory," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 848-862.
  122. Chung, Byung Do & Yao, Tao & Friesz, Terry L. & Liu, Hongcheng, 2012. "Dynamic congestion pricing with demand uncertainty: A robust optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1504-1518.
  123. Han, Ke & Gayah, Vikash V., 2015. "Continuum signalized junction model for dynamic traffic networks: Offset, spillback, and multiple signal phases," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 213-239.
  124. Ran, Bin & Boyce, David E., 1995. "Ideal Dynamic User-Optimal Route Choice: A Link-Based Variational Inequality Formulation," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3t4686x6, Institute of Transportation Studies, UC Berkeley.
  125. 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.
  126. Sachin Adlakha & Ramesh Johari, 2013. "Mean Field Equilibrium in Dynamic Games with Strategic Complementarities," Operations Research, INFORMS, vol. 61(4), pages 971-989, August.
  127. Carey, Malachy & McCartney, Mark, 2002. "Behaviour of a whole-link travel time model used in dynamic traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 83-95, January.
  128. Lin Xiao & Hong Lo, 2015. "Combined Route Choice and Adaptive Traffic Control in a Day-to-day Dynamical System," Networks and Spatial Economics, Springer, vol. 15(3), pages 697-717, September.
  129. Zhong, R.X. & Xie, X.X. & Luo, J.C. & Pan, T.L. & Lam, W.H.K. & Sumalee, A., 2020. "Modeling double time-scale travel time processes with application to assessing the resilience of transportation systems," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 228-248.
  130. Dial, Robert B., 2000. "Minimal-revenue congestion pricing Part II: An efficient algorithm for the general case," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 645-665, November.
  131. Takashi Akamatsu & Benjamin Heydecker, 2003. "Detecting Dynamic Traffic Assignment Capacity Paradoxes in Saturated Networks," Transportation Science, INFORMS, vol. 37(2), pages 123-138, May.
  132. Dial, Robert B., 1997. "Bicriterion traffic assignment: Efficient algorithms plus examples," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 357-379, October.
  133. Wang, Dong & Liao, Feixiong, 2023. "Incentivized user-based relocation strategies for moderating supply–demand dynamics in one-way car-sharing services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
  134. Li-Jun Tian & Hai-Jun Huang & Zi-You Gao, 2012. "A Cumulative Perceived Value-Based Dynamic User Equilibrium Model Considering the Travelers’ Risk Evaluation on Arrival Time," Networks and Spatial Economics, Springer, vol. 12(4), pages 589-608, December.
  135. Frédéric Meunier & Nicolas Wagner, 2010. "Equilibrium Results for Dynamic Congestion Games," Transportation Science, INFORMS, vol. 44(4), pages 524-536, November.
  136. Friesz, Terry L. & Mookherjee, Reetabrata, 2006. "Solving the dynamic network user equilibrium problem with state-dependent time shifts," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 207-229, March.
  137. Blumberg, Michal & Bar-Gera, Hillel, 2009. "Consistent node arrival order in dynamic network loading models," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 285-300, March.
  138. 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.
  139. Friesz, Terry L. & Mookherjee, Reetabrata & Yao, Tao, 2008. "Securitizing congestion: The congestion call option," Transportation Research Part B: Methodological, Elsevier, vol. 42(5), pages 407-437, June.
  140. Roberto Cominetti & José Correa & Omar Larré, 2015. "Dynamic Equilibria in Fluid Queueing Networks," Operations Research, INFORMS, vol. 63(1), pages 21-34, February.
  141. Friesz, Terry L. & Han, Ke & Neto, Pedro A. & Meimand, Amir & Yao, Tao, 2013. "Dynamic user equilibrium based on a hydrodynamic model," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 102-126.
  142. Yang, Fan & Zhang, Ding, 2009. "Day-to-day stationary link flow pattern," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 119-126, January.
  143. Dell'Orco, Mauro, 2006. "A dynamic network loading model for mesosimulation in transportation systems," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1447-1454, December.
  144. Friesz, Terry L. & Kim, Taeil & Kwon, Changhyun & Rigdon, Matthew A., 2011. "Approximate network loading and dual-time-scale dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 176-207, January.
  145. Zhi-Yang Lin & S. C. Wong & Peng Zhang & Keechoo Choi, 2018. "A Predictive Continuum Dynamic User-Optimal Model for the Simultaneous Departure Time and Route Choice Problem in a Polycentric City," Service Science, INFORMS, vol. 52(6), pages 1496-1508, December.
  146. Long, Jiancheng & Szeto, W.Y., 2019. "Congestion and environmental toll schemes for the morning commute with heterogeneous users and parallel routes," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 305-333.
  147. Han, Ke & Friesz, Terry L. & Yao, Tao, 2013. "Existence of simultaneous route and departure choice dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 17-30.
  148. Zhaobo Chen & Chunying Tian & Ding Zhang & Dongyan Chen, 2020. "Dynamic model of a supply chain network with sticky price," Operational Research, Springer, vol. 20(2), pages 649-670, June.
  149. Bing-sheng He & Wei Xu & Hai Yang & Xiao-Ming Yuan, 2011. "Solving Over-production and Supply-guarantee Problems in Economic Equilibria," Networks and Spatial Economics, Springer, vol. 11(1), pages 127-138, March.
  150. Bliemer, Michiel C. J. & Bovy, Piet H. L., 2003. "Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 501-519, July.
  151. Han, Sangjin, 2003. "Dynamic traffic modelling and dynamic stochastic user equilibrium assignment for general road networks," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 225-249, March.
  152. Kachani, Soulaymane & Perakis, Georgia, 2006. "Fluid dynamics models and their applications in transportation and pricing," European Journal of Operational Research, Elsevier, vol. 170(2), pages 496-517, April.
  153. N. Nezamuddin & Stephen Boyles, 2015. "A Continuous DUE Algorithm Using the Link Transmission Model," Networks and Spatial Economics, Springer, vol. 15(3), pages 465-483, September.
  154. Wen-Long Jin, 2020. "Stable Day-to-Day Dynamics for Departure Time Choice," Transportation Science, INFORMS, vol. 54(1), pages 42-61, January.
  155. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.
IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.