References
- Aalipour, A., Kebriaei, H., & Ramezani, M. (2019). Analytical optimal solution of perimeter traffic flow control based on MFD dynamics: A Pontryagin's maximum principle approach. IEEE Transactions on Intelligent Transportation Systems, 20(9), 3224–3234. https://doi.org/10.1109/TITS.2018.2873104
- Aboudolas, K., & Geroliminis, N. (2013). Perimeter and boundary flow control in multi-reservoir heterogeneous networks. Transportation Research Part B: Methodological, 55, 265–281. https://doi.org/10.1016/j.trb.2013.07.003
- Batista, S. F. A., & Leclercq, L. (2019). Regional dynamic traffic assignment framework for macroscopic fundamental diagram multi-regions models. Transportation Science, 53(6), 1563–1590. https://doi.org/10.1287/trsc.2019.0921
- Chen, A., Jayakrishnan, R., & Tsai, W. (2002). Faster franke-wolfe traffic assignment with new flow update scheme. Journal of Transportation Engineering, 128(1), 31–39. https://doi.org/10.1061/(ASCE)0733-947X(2002)128:1(31)
- Daganzo, C. F. (2007). Urban gridlock: Macroscopic modeling and mitigation approaches. Transportation Research Part B: Methodological, 41(1), 49–62. https://doi.org/10.1016/j.trb.2006.03.001
- Daganzo, C. F., & Geroliminis, N. (2008). An analytical approximation for the macroscopic fundamental diagram of urban traffic. Transportation Research Part B: Methodological, 42(9), 771–781. https://doi.org/10.1016/j.trb.2008.06.008
- Ding, H., Zheng, X. Y., Zhang, Y., Zhu, L. Y., & Zhang, W. H. (2017). Optimal control for traffic congested area boundary in macroscopic traffic network. China Journal of Highway and Transport, 30(1), 111–120.
- Dong, W., Wang, Y., & Yu, H. (2019). An identification model of critical control sub-regions based on macroscopic fundamental diagram theory. ITS Journal, 23(1/6), 441–451.
- Ge, Q., & Daisuke, F. (2019). A macroscopic dynamic network loading model for multiple-reservoir system. Transportation Research Part B: Methodological, 126, 502–527. https://doi.org/10.1016/j.trb.2018.06.008
- Ge, Q., Fukuda, D., Han, K., & Song, W. (2020). Reservoir-based surrogate modeling of dynamic user equilibrium. Transportation Research Part C Emerging Technologies, 38, 772–791.
- Geroliminis, N., & Daganzo, C. F. (2008). Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings. Transportation Research Part B: Methodological, 42(9), 759–770. https://doi.org/10.1016/j.trb.2008.02.002
- Geroliminis, N., Haddad, J., & Ramezani, M. (2013). Optimal perimeter control for two urban regions with macroscopic fundamental diagrams: A model predictive approach. IEEE Transactions on Intelligent Transportation Systems, 14(1), 348–359. https://doi.org/10.1109/TITS.2012.2216877
- Godfrey, J. W. (1969). The mechanism of a road network. Traffic Engineering and Control, 11, 323–327.
- Ji, Y., & Geroliminis, N. (2012). On the spatial partitioning of urban transportation networks. Transportation Research Part B: Methodological, 46(10), 1639–1656. https://doi.org/10.1016/j.trb.2012.08.005
- Keyvan-Ekbatani, M., Kouvelas, A., Papamichail, I., & Papageorgiou, M. (2012). Exploiting the fundamental diagram of urban networks for feedback-based gating. Transportation Research Part B: Methodological, 46(10), 1393–1403. https://doi.org/10.1016/j.trb.2012.06.008
- Knoop, V., Hoogendoorn, S., & Van Lint, J. (2012). Routing strategies based on macroscopic fundamental diagram. Transportation Research Record: Journal of the Transportation Research Board, 2315(1), 1–10. https://doi.org/10.3141/2315-01
- Knoop, V. L., Tamminga, G. F., & Leclercq, L. (2016). Network Transmission Model: Application to a Real World City.
- Krajzewicz, D., Erdmann, J., Behrisch, M., & Bieker, L. (2012). Recent development and applications of SUMO-simulation of urban mobility. International Journal on Advances in Systems and Measurements, 5(3&4)
- Leclercq, L., Chiabaut, N., & Trinquier, B. (2014). Macroscopic fundamental diagrams: A cross-comparison of estimation methods. Transportation Research Part B: Methodological, 62, 1–12. https://doi.org/10.1016/j.trb.2014.01.007
- Leclercq, L., Parzani, C., Knoop, V. L., Amourette, J., & Hoogendoorn, S. P. (2015). Macroscopic traffic dynamics with heterogeneous route patterns. Transportation Research Part C: Emerging Technologies, 59, 292–307. https://doi.org/10.1016/j.trc.2015.05.006
- Liu, H., He, X., & He, B. (2009). Method of successive weighted averages (mswa) and self-regulated averaging schemes for solving stochastic user equilibrium problem. Networks and Spatial Economics, 9(4), 485–503. https://doi.org/10.1007/s11067-007-9023-x
- Mazloumian, A., Geroliminis, N., & Helbing, D. (2010). The spatial variability of vehicle densities as determinant of urban network capacity. Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 368(1928), 4627–4647.
- Sirmatel, I. I., & Geroliminis, N. (2017). Economic model predictive control of large-scale urban road networks via perimeter control and regional route guidance. IEEE Transactions on Intelligent Transportation Systems, 19(4):1–10.
- Sirmatel, I. I., Tsitsokas, D., Kouvelas, A., & Geroliminis, N. (2021). Modeling, estimation, and control in large-scale urban road networks with remaining travel distance dynamics. Transportation Research Part C: Emerging Technologies, 128, 103157. https://doi.org/10.1016/j.trc.2021.103157
- Wang, J., He, X., Peeta, S., & Yang, X. (2020). Feedback perimeter control with online estimation of maximum throughput for an incident-affected road network. Journal of Intelligent Transportation Systems, 26(1), 1–19.
- Wang, C., Xu, Z., Du, R., Li, H., & Wang, P. (2019). A vehicle routing model based on large-scale radio frequency identification data. Journal of Intelligent Transportation Systems, 24(2), 1–14.
- Yang, I., & Jayakrishnan, R. (2012). Gradient projection method for simulation-based dynamic traffic assignment. Transportation Research Record: Journal of the Transportation Research Board, 2284(1), 70–80. https://doi.org/10.3141/2284-09
- Yildirimoglu, M., & Geroliminis, N. (2014). Approximating dynamic equilibrium conditions with macroscopic fundamental diagrams. Transportation Research Part B: Methodological, 70, 186–200. https://doi.org/10.1016/j.trb.2014.09.002
- Yildirimoglu, M., Ramezani, M., & Geroliminis, N. (2015). Equilibrium analysis and route guidance in large-scale networks with mfd dynamics. Transportation Research Part C: Emerging Technologies, 59(OCT), 404–420. https://doi.org/10.1016/j.trc.2015.05.009
- Yildirimoglu, M., Sirmatel, I. I., & Geroliminis, N. (2018). Hierarchical control of heterogeneous large-scale urban road networks via path assignment and regional route guidance. Transportation Research Part B: Methodological, 118, 106–123. https://doi.org/10.1016/j.trb.2018.10.007