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An analytical approximation for the macropscopic fundamental diagram of urban traffic

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  1. Xintao Liu & Joseph Y. J. Chow & Songnian Li, 2018. "Online monitoring of local taxi travel momentum and congestion effects using projections of taxi GPS-based vector fields," Journal of Geographical Systems, Springer, vol. 20(3), pages 253-274, July.
  2. Guo, Qiangqiang & Ban, Xuegang (Jeff), 2020. "Macroscopic fundamental diagram based perimeter control considering dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 87-109.
  3. Cheng, Qixiu & Liu, Zhiyuan & Lin, Yuqian & Zhou, Xuesong (Simon), 2021. "An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 246-271.
  4. Shi, Xiaowei & Li, Xiaopeng, 2021. "Constructing a fundamental diagram for traffic flow with automated vehicles: Methodology and demonstration," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 279-292.
  5. Richard Connors & David Watling, 2015. "Assessing the Demand Vulnerability of Equilibrium Traffic Networks via Network Aggregation," Networks and Spatial Economics, Springer, vol. 15(2), pages 367-395, June.
  6. Haddad, Jack & Ramezani, Mohsen & Geroliminis, Nikolas, 2013. "Cooperative traffic control of a mixed network with two urban regions and a freeway," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 17-36.
  7. 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.
  8. Mohammad Halakoo & Hao Yang & Harith Abdulsattar, 2023. "Heterogeneity Aware Emission Macroscopic Fundamental Diagram (e-MFD)," Sustainability, MDPI, vol. 15(2), pages 1-18, January.
  9. Dakic, Igor & Leclercq, Ludovic & Menendez, Monica, 2021. "On the optimization of the bus network design: An analytical approach based on the three-dimensional macroscopic fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 393-417.
  10. Jin, Wen-Long, 2012. "The traffic statics problem in a road network," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1360-1373.
  11. Aghamohammadi, Rafegh & Laval, Jorge A., 2020. "A continuum model for cities based on the macroscopic fundamental diagram: A semi-Lagrangian solution method," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 101-116.
  12. Amirgholy, Mahyar & Gao, H. Oliver, 2023. "Optimal traffic operation for maximum energy efficiency in signal-free urban networks: A macroscopic analytical approach," Applied Energy, Elsevier, vol. 329(C).
  13. Daganzo, Carlos F. & Gayah, Vikash V. & Gonzales, Eric J., 2011. "Macroscopic relations of urban traffic variables: Bifurcations, multivaluedness and instability," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 278-288, January.
  14. 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.
  15. Yin, Ruyang & Zheng, Nan & Liu, Zhiyuan, 2022. "Estimating fundamental diagram for multi-modal signalized urban links with limited probe data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
  16. Cao, Jin & Menendez, Monica, 2015. "System dynamics of urban traffic based on its parking-related-states," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 718-736.
  17. Pavón, Nicolás & Rizzi, Luis Ignacio, 2019. "Road infrastructure and public bus transport service provision under different funding schemes: A simulation analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 125(C), pages 89-105.
  18. Wada, Kentaro & Usui, Kento & Takigawa, Tsubasa & Kuwahara, Masao, 2018. "An optimization modeling of coordinated traffic signal control based on the variational theory and its stochastic extension," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 907-925.
  19. Gayah, Vikash V. & Daganzo, Carlos F., 2010. "Clockwise Hysteresis Loops in the MacroscopicFundamental Diagram," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2x98k1x2, Institute of Transportation Studies, UC Berkeley.
  20. Gonzales, Eric J., 2015. "Coordinated pricing for cars and transit in cities with hypercongestion," Economics of Transportation, Elsevier, vol. 4(1), pages 64-81.
  21. Amirgholy, Mahyar & Gao, H. Oliver, 2017. "Modeling the dynamics of congestion in large urban networks using the macroscopic fundamental diagram: User equilibrium, system optimum, and pricing strategies," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 215-237.
  22. Wu, Chao-Yun & Li, Ming & Jiang, Rui & Hao, Qing-Yi & Hu, Mao-Bin, 2018. "Perimeter control for urban traffic system based on macroscopic fundamental diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 231-242.
  23. Amirgholy, Mahyar & Nourinejad, Mehdi & Gao, H. Oliver, 2020. "Optimal traffic control at smart intersections: Automated network fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 2-18.
  24. Guler, S. Ilgin & Cassidy, Michael J., 2012. "Strategies for sharing bottleneck capacity among buses and cars," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1334-1345.
  25. Daganzo, Carlos F & Lehe, Lewis J, 2014. "Distance-dependent Congestion Pricing for Downtown Zones," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9vz1b9rs, Institute of Transportation Studies, UC Berkeley.
  26. Gayah, Vikash V. & Daganzo, Carlos F., 2011. "Clockwise hysteresis loops in the Macroscopic Fundamental Diagram: An effect of network instability," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 643-655, May.
  27. Leclercq, Ludovic & Sénécat, Alméria & Mariotte, Guilhem, 2017. "Dynamic macroscopic simulation of on-street parking search: A trip-based approach," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 268-282.
  28. Loder, Allister & Bliemer, Michiel C.J. & Axhausen, Kay W., 2022. "Optimal pricing and investment in a multi-modal city — Introducing a macroscopic network design problem based on the MFD," Transportation Research Part A: Policy and Practice, Elsevier, vol. 156(C), pages 113-132.
  29. Zhang, Lele & Finn, Caley & Garoni, Timothy M. & de Gier, Jan, 2018. "Behaviour of traffic on a link with traffic light boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 116-138.
  30. Wang, Chen & David, Bertrand & Chalon, René & Yin, Chuantao, 2016. "Dynamic road lane management study," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 272-287.
  31. Ambühl, Lukas & Loder, Allister & Bliemer, Michiel C.J. & Menendez, Monica & Axhausen, Kay W., 2020. "A functional form with a physical meaning for the macroscopic fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 119-132.
  32. Zhong, R.X. & Chen, C. & Huang, Y.P. & Sumalee, A. & Lam, W.H.K. & Xu, D.B., 2018. "Robust perimeter control for two urban regions with macroscopic fundamental diagrams: A control-Lyapunov function approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 687-707.
  33. Amirgholy, Mahyar & Shahabi, Mehrdad & Gao, H. Oliver, 2017. "Optimal design of sustainable transit systems in congested urban networks: A macroscopic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 261-285.
  34. Stamos, Iraklis & Salanova Grau, Josep Maria & Mitsakis, Evangelos, 2013. "Μακροσκοπικά Θεμελιώδη Διαγράμματα: Ευρήματα Μέσω Προσομοίωσης Για Το Οδικό Δίκτυο Της Θεσσαλονίκης [Macroscopic fundamental diagrams: Simulation based findings from the road network of Thessalonik," MPRA Paper 61538, University Library of Munich, Germany.
  35. Jin, Wen-Long, 2015. "Continuous formulations and analytical properties of the link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 88-103.
  36. Yining Liu & Yanfeng Ouyang, 2022. "Planning ride-pooling services with detour restrictions for spatially heterogeneous demand: A multi-zone queuing network approach," Papers 2208.02219, arXiv.org, revised Jun 2023.
  37. 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.
  38. Ludovic Leclercq & Mahendra Paipuri, 2019. "Macroscopic Traffic Dynamics Under Fast-Varying Demand," Transportation Science, INFORMS, vol. 53(6), pages 1526-1545, November.
  39. Daganzo, Carlos F & Lehe, Lewis, 2016. "Zone Pricing in Theory and Practice," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt39f0v6kq, Institute of Transportation Studies, UC Berkeley.
  40. Amin Mazloumian & Nikolas Geroliminis & Dirk Helbing, "undated". "The Spatial Variability of Vehicle Densities as Determinant of Urban Network Capacity," Working Papers CCSS-09-009, ETH Zurich, Chair of Systems Design.
  41. Daganzo, Carlos F. & Lehe, Lewis J., 2015. "Distance-dependent congestion pricing for downtown zones," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 89-99.
  42. Keyvan-Ekbatani, Mehdi & Kouvelas, Anastasios & Papamichail, Ioannis & Papageorgiou, Markos, 2012. "Exploiting the fundamental diagram of urban networks for feedback-based gating," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1393-1403.
  43. Liu, Wei & Geroliminis, Nikolas, 2016. "Modeling the morning commute for urban networks with cruising-for-parking: An MFD approach," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 470-494.
  44. Saeedmanesh, Mohammadreza & Geroliminis, Nikolas, 2017. "Dynamic clustering and propagation of congestion in heterogeneously congested urban traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 193-211.
  45. Laval, Jorge A. & Castrillón, Felipe, 2015. "Stochastic approximations for the macroscopic fundamental diagram of urban networks," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 904-916.
  46. D. Helbing, 2009. "Derivation of a fundamental diagram for urban traffic flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 229-241, July.
  47. Ramezani, Mohsen & Haddad, Jack & Geroliminis, Nikolas, 2015. "Dynamics of heterogeneity in urban networks: aggregated traffic modeling and hierarchical control," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 1-19.
  48. Haitao, He & Menendez, Monica & Ilgin Guler, S., 2018. "Analytical evaluation of flexible-sharing strategies on multimodal arterials," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 364-379.
  49. Daganzo, Carlos F. & Gayah, Vikash V. & Gonzales, Eric J., 2010. "Macroscopic Relations of Urban Traffic Variables: An Analysis of Instability," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt7qd590bv, Institute of Transportation Studies, UC Berkeley.
  50. Tilg, Gabriel & Ambühl, Lukas & Batista, Sergio & Menendez, Monica & Busch, Fritz, 2021. "On the application of variational theory to urban networks," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 435-456.
  51. Gayah, Vikash V. & Gao, Xueyu (Shirley) & Nagle, Andrew S., 2014. "On the impacts of locally adaptive signal control on urban network stability and the Macroscopic Fundamental Diagram," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 255-268.
  52. Zhang, Lele & Garoni, Timothy M & de Gier, Jan, 2013. "A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems," Transportation Research Part B: Methodological, Elsevier, vol. 49(C), pages 1-23.
  53. Geroliminis, Nikolas & Sun, Jie, 2011. "Properties of a well-defined macroscopic fundamental diagram for urban traffic," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 605-617, March.
  54. Xiangyang Cao & Bingzhong Zhou & Qiang Tang & Jiaqi Li & Donghui Shi, 2018. "Urban Wasteful Transport and Its Estimation Methods," Sustainability, MDPI, vol. 10(12), pages 1-15, December.
  55. Qi-Jian Gan & Wen-Long Jin & Vikash V. Gayah, 2017. "Analysis of Traffic Statics and Dynamics in Signalized Networks: A Poincaré Map Approach," Transportation Science, INFORMS, vol. 51(3), pages 1009-1029, August.
  56. Laval, Jorge A. & Costeseque, Guillaume & Chilukuri, Bargavarama, 2016. "The impact of source terms in the variational representation of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 204-216.
  57. Fabien Leurent, 2022. "On the ratios of urban mobility, Part 1: the HoTer model of travel demand and network flows," Working Papers hal-03805030, HAL.
  58. Hans, Etienne & Chiabaut, Nicolas & Leclercq, Ludovic, 2015. "Applying variational theory to travel time estimation on urban arterials," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 169-181.
  59. Loder, Allister & Dakic, Igor & Bressan, Lea & Ambühl, Lukas & Bliemer, Michiel C.J. & Menendez, Monica & Axhausen, Kay W., 2019. "Capturing network properties with a functional form for the multi-modal macroscopic fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 1-19.
  60. Qu, Xiaobo & Zhang, Jin & Wang, Shuaian, 2017. "On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 256-271.
  61. 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.
  62. Basaure, Arturo & Benseny, Jaume, 2020. "Smart city platform adoption for C-V2X services," ITS Conference, Online Event 2020 224845, International Telecommunications Society (ITS).
  63. Fournier, Nicholas, 2021. "Hybrid pedestrian and transit priority zoning policies in an urban street network: Evaluating network traffic flow impacts with analytical approximation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 152(C), pages 254-274.
  64. Jin, Wen-Long & Gan, Qi-Jian & Gayah, Vikash V., 2013. "A kinematic wave approach to traffic statics and dynamics in a double-ring network," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 114-131.
  65. Fabien Li & Sheng Badia, 2018. "Structural design of a hierarchical urban transit network integrating modal choice and environmental impacts," Post-Print hal-02010003, HAL.
  66. Qu, Xiaobo & Wang, Shuaian & Zhang, Jin, 2015. "On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 91-102.
  67. Mollier, Stéphane & Delle Monache, Maria Laura & Canudas-de-Wit, Carlos & Seibold, Benjamin, 2019. "Two-dimensional macroscopic model for large scale traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 309-326.
  68. Anas, Alex, 2020. "The cost of congestion and the benefits of congestion pricing: A general equilibrium analysis," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 110-137.
  69. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
  70. Louis Grange & Felipe González & Shlomo Bekhor, 2017. "Path Flow and Trip Matrix Estimation Using Link Flow Density," Networks and Spatial Economics, Springer, vol. 17(1), pages 173-195, March.
  71. Seyed Arman Haghbayan & Nikolas Geroliminis & Meisam Akbarzadeh, 2021. "Community detection in large scale congested urban road networks," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-14, November.
  72. Geroliminis, Nikolas & Boyacı, Burak, 2012. "The effect of variability of urban systems characteristics in the network capacity," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1607-1623.
  73. Wu, Chao-Yun & Hu, Mao-Bin & Jiang, Rui & Hao, Qing-Yi, 2021. "Effects of road network structure on the performance of urban traffic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
  74. Zheng, Nan & Geroliminis, Nikolas, 2013. "On the distribution of urban road space for multimodal congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 326-341.
  75. Wen-Long Jin, 2021. "A Link Queue Model of Network Traffic Flow," Transportation Science, INFORMS, vol. 55(2), pages 436-455, March.
  76. Aghamohammadi, Rafegh & Laval, Jorge A., 2020. "Dynamic traffic assignment using the macroscopic fundamental diagram: A Review of vehicular and pedestrian flow models," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 99-118.
  77. Du, Jie & Wong, S.C. & Shu, Chi-Wang & Xiong, Tao & Zhang, Mengping & Choi, Keechoo, 2013. "Revisiting Jiang’s dynamic continuum model for urban cities," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 96-119.
  78. Gayah, Vikash V. & Daganzo, Carlos F., 2010. "Exploring the Effect of Turning Maneuvers and Route Choice ona Simple Network," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt6kg0d8ds, Institute of Transportation Studies, UC Berkeley.
  79. Leclercq, Ludovic & Geroliminis, Nikolas, 2013. "Estimating MFDs in simple networks with route choice," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 468-484.
  80. Wada, Kentaro & Satsukawa, Koki & Smith, Mike & Akamatsu, Takashi, 2019. "Network throughput under dynamic user equilibrium: Queue spillback, paradox and traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 391-413.
  81. Haddad, Jack & Geroliminis, Nikolas, 2012. "On the stability of traffic perimeter control in two-region urban cities," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1159-1176.
  82. Geroliminis, Nikolas & Sun, Jie, 2011. "Hysteresis phenomena of a Macroscopic Fundamental Diagram in freeway networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(9), pages 966-979, November.
  83. Joana Cavadas & António Pais Antunes, 2019. "An optimization model for integrated transit-parking policy planning," Transportation, Springer, vol. 46(5), pages 1867-1891, October.
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