Traffic dynamics in bi-modal urban networks: a cross-comparison of outflow 2D-NMFD and 3D-NMFD

References

• Ambühl, Lukas, Allister Loder, Michiel C. J. Bliemer, Monica Menendez, and Kay W. Axhausen. 2020. “A Functional Form with A Physical Meaning for the Macroscopic Fundamental Diagram.” Transportation Research Part B: Methodological 137: 119–132.
   Web of Science ®Google Scholar
• Ampountolas, Konstantinos, Nan Zheng, and Nikolas Geroliminis. 2017. “Macroscopic Modelling and Robust Control of Bi-Modal Multi-Region Urban Road Networks.” Transportation Research Part B: Methodological 104: 616–637.
   Web of Science ®Google Scholar
• Batista, S. F. A., Ludovic Leclercq, and Nikolas Geroliminis. 2019. “Estimation of Regional Trip Length Distributions for the Calibration of the Aggregated Network Traffic Models.” Transportation Research Part B: Methodological 122: 192–217.
   Web of Science ®Google Scholar
• Boyac, Burak, and Nikolas Geroliminis. 2011. “Estimation of the Network Capacity for Multimodal Urban Systems.” Procedia-Social and Behavioral Sciences 16: 803–813.
   Google Scholar
• Buisson, Christine, and Cyril Ladier. 2009. “Exploring the Impact of Homogeneity of Traffic Measurements on the Existence of Macroscopic Fundamental Diagrams.” Transportation Research Record: Journal of the Transportation Research Board 2124 (1): 127–136.
   Web of Science ®Google Scholar
• Chch-Council. 2019. CAST v18a, Model Update Summary Report.
   Google Scholar
• Chiabaut, Nicolas. 2015. “Evaluation of A Multimodal Urban Arterial: The Passenger Macroscopic Fundamental Diagram.” Transportation Research Part B: Methodological 81: 410–420.
   Web of Science ®Google Scholar
• Daganzo, Carlos F. 1994. “The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory.” Transportation Research Part B: Methodological 28 (4): 269–287.
   Web of Science ®Google Scholar
• Daganzo, Carlos F. 2007. “Urban Gridlock: Macroscopic Modeling and Mitigation Approaches.” Transportation Research Part B: Methodological 41 (1): 49–62.
   Web of Science ®Google Scholar
• Fu, Hui, Yefei Wang, Xianma Tang, Nan Zheng, and Nikolaos Geroliminis. 2020. “Empirical Analysis of Large-Scale Multimodal Traffic with Multi-Sensor Data.” Transportation Research Part C: Emerging Technologies 118: 102725.
   Google Scholar
• Geroliminis, N., and C. F. Daganzo. 2007, January. “Macroscopic Modeling of Traffic in Cities.” Paper Presented at the 86th Annual Meeting of the Transportation Research Board, Washington, DC.
   Google Scholar
• Geroliminis, Nikolas, and Carlos F. Daganzo. 2008. “Existence of Urban-Scale Macroscopic Fundamental Diagrams: Some Experimental Findings.” Transportation Research Part B: Methodological 42 (9): 759–770.
   Web of Science ®Google Scholar
• Geroliminis, Nikolas, Nan Zheng, and Konstantinos Ampountolas. 2014. “A Three-Dimensional Macroscopic Fundamental Diagram for Mixed Bi-modal Urban Networks.” Transportation Research Part C: Emerging Technologies 42: 168–181.
   Web of Science ®Google Scholar
• Godfrey, J. W. 1969. “The Mechanism of A Road Network.” Traffic Engineering and Control 11 (7): 323–327.
   Google Scholar
• Haddad, Jack, and Zhengfei Zheng. 2018. “Adaptive Perimeter Control for Multi-Region Accumulation-Based Models with State Delays.” Transportation Research Part B: Methodological 137: 133–153.
   Web of Science ®Google Scholar
• Hajiahmadi, Mohammad, Victor L. Knoop, Bart De Schutter, and Hans Hellendoorn. 2013. “Optimal Dynamic Route Guidance: A Model Predictive Approach Using the Macroscopic Fundamental Diagram.” In 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013), The Hague, Netherlands, 1022–1028. IEEE.
   Google Scholar
• Huang, Chongxuan, Nan Zheng, and Jun Zhang. 2019. “Investigation of Bimodal Macroscopic Fundamental Diagrams in Large-Scale Urban Networks: Empirical Study with GPS Data for Shenzhen City.” Transportation Research Record 0361198119843472.
   Google Scholar
• Huang, Y. P., J. H. Xiong, A Sumalee, N Zheng, W. H. K. Lam, Z. B. He, and RX Zhong. 2020. “A Dynamic User Equilibrium Model for Multi-Region Macroscopic Fundamental Diagram Systems with Time-Varying Delays.” Transportation Research Part B: Methodological 131: 1–25.
   Web of Science ®Google Scholar
• Jekel, Charles F., and Gerhard Venter. 2019. pwlf: A Python Library for Fitting 1D Continuous Piecewise Linear Functions. https://github.com/cjekel/piecewise_linear_fit_py.
   Google Scholar
• Jiang, Shang, Mehdi Keyvan-Ekbatani, and Dong Ngoduy. 2021. “A Model Predictive Perimeter Control with Real-Time Partitions.” IFAC-PapersOnLine 54 (2): 292–297.
   Google Scholar
• Jin, Wen-Long. 2020. “Generalized Bathtub Model of Network Trip Flows.” Transportation Research Part B: Methodological 136: 138–157.
   Web of Science ®Google Scholar
• Johari, Mansour, and Hossein Haghshenas. 2019. “Modeling the Cordon Pricing Policy for A Multi-modal Transportation System.” Case Studies on Transport Policy 7 (3): 531–539.
   Web of Science ®Google Scholar
• Johari, Mansour, Mehdi Keyvan-Ekbatani, Ludovic Leclercq, Dong Ngoduy, and Hani S. Mahmassani. 2021. “Macroscopic Network-Level Traffic Models: Bridging Fifty Years of Development Toward the Next Era.” Transportation Research Part C: Emerging Technologies 131: 103334.
   Google Scholar
• Johari, Mansour, Mehdi Keyvan-Ekbatani, and Dong Ngoduy. 2020. “Impacts of Bus Stop Location and Berth Number on Urban Network Traffic Performance.” IET Intelligent Transport Systems 14 (12): 1546–1554.
   Web of Science ®Google Scholar
• Keyvan-Ekbatani, Mehdi, Rodrigo Castelan Carlson, Victor L. Knoop, and Markos Papageorgiou. 2021. “Optimizing Distribution of Metered Traffic Flow in Perimeter Control: Queue and Delay Balancing Approaches.” Control Engineering Practice 110: 104762.
   Google Scholar
• Keyvan-Ekbatani, Mehdi, Xueyu Gao, Vikash V. Gayah, and Victor L. Knoop. 2019. “Traffic-Responsive Signals Combined with Perimeter Control: Investigating the Benefits.” Transportmetrica B: Transport Dynamics 7 (1): 1402–1425.
   Web of Science ®Google Scholar
• Keyvan-Ekbatani, Mehdi, Anastasios Kouvelas, Ioannis Papamichail, and Markos Papageorgiou. 2012. “Exploiting the Fundamental Diagram of Urban Networks for Feedback-Based Gating.” Transportation Research Part B: Methodological 46 (10): 1393–1403.
   Web of Science ®Google Scholar
• Kim, Sunghoon, Sehyun Tak, and Hwasoo Yeo. 2018. “Agent-Based Network Transmission Model Using the Properties of Macroscopic Fundamental Diagram.” Transportation Research Part C: Emerging Technologies 93: 79–101.
   Web of Science ®Google Scholar
• Lamotte, Raphaël, and Nikolas Geroliminis. 2018. “The Morning Commute in Urban Areas with Heterogeneous Trip Lengths.” Transportation Research Part B: Methodological 117: 794–810.
   Web of Science ®Google Scholar
• Leclercq, Ludovic, and Mahendra Paipuri. 2019. “Macroscopic Traffic Dynamics Under Fast-Varying Demand.” Transportation Science 53 (6): 1526–1545.
   Web of Science ®Google Scholar
• Leclercq, Ludovic, Céline Parzani, Victor L Knoop, Jennifer Amourette, and Serge P. Hoogendoorn. 2015. “Macroscopic Traffic Dynamics with Heterogeneous Route Patterns.” Transportation Research Part C: Emerging Technologies 59: 292–307.
   Web of Science ®Google Scholar
• Li, Ye, Reza Mohajerpoor, and Mohsen Ramezani. 2021. “Perimeter Control with Real-Time Location-Varying Cordon.” Transportation Research Part B: Methodological 150: 101–120.
   Web of Science ®Google Scholar
• Loder, Allister, Lukas Ambühl, Monica Menendez, and Kay W. Axhausen. 2017. “Empirics of Multi-Modal Traffic Networks–Using the 3D Macroscopic Fundamental Diagram.” Transportation Research Part C: Emerging Technologies 82: 88–101.
   Web of Science ®Google Scholar
• Loder, Allister, Igor Dakic, Lea Bressan, Lukas Ambühl, Michiel C. J. Bliemer, Monica Menendez, and Kay W. Axhausen. 2019. “Capturing Network Properties with a Functional Form for the Multi-Modal Macroscopic Fundamental Diagram.” Transportation Research Part B: Methodological 129: 1–19.
   Web of Science ®Google Scholar
• Mahmassani, Hani S., Meead Saberi, and Ali Zockaie. 2013. “Urban Network Gridlock: Theory, Characteristics, and Dynamics.” Transportation Research Part C: Emerging Technologies 36: 480–497.
   Web of Science ®Google Scholar
• Mariotte, Guilhem, and Ludovic Leclercq. 2019. “Flow Exchanges in Multi-Reservoir Systems with Spillbacks.” Transportation Research Part B: Methodological 122: 327–349.
   Web of Science ®Google Scholar
• Mariotte, Guilhem, Ludovic Leclercq, S. F. A. Batista, Jean Krug, and Mahendra Paipuri. 2020. “Calibration and Validation of Multi-Reservoir MFD Models: A Case Study in Lyon.” Transportation Research Part B: Methodological 136: 62–86.
   Web of Science ®Google Scholar
• Mariotte, Guilhem, Ludovic Leclercq, and Jorge A. Laval. 2017. “Macroscopic Urban Dynamics: Analytical and Numerical Comparisons of Existing Models.” Transportation Research Part B: Methodological 101: 245–267.
   Web of Science ®Google Scholar
• Mariotte, Guilhem, Mahendra Paipuri, and Ludovic Leclercq. 2020. “Dynamics of Flow Merging and Diverging in MFD-Based Systems: Validation Vs. Microsimulation.” Frontiers in Future Transportation 1: 3.
   Google Scholar
• Olszewski, Piotr, Henry S. L. Fan, and Yan-Weng Tan. 1995. “Area-Wide Traffic Speed-Flow Model for the Singapore CBD.” Transportation Research Part A: Policy and Practice 29 (4): 273–281.
   Web of Science ®Google Scholar
• Paipuri, Mahendra, Emmanouil Barmpounakis, Nikolas Geroliminis, and Ludovic Leclercq. 2021. “Empirical Observations of Multi-Modal Network-Level Models: Insights From the PNEUMA Experiment.” Transportation Research Part C: Emerging Technologies 131: 103300.
   Google Scholar
• Paipuri, Mahendra, and Ludovic Leclercq. 2020a. “Bi-Modal Macroscopic Traffic Dynamics in A Single Region.” Transportation Research Part B: Methodological 133: 257–290.
   Web of Science ®Google Scholar
• Paipuri, Mahendra, and Ludovic Leclercq. 2020b. “Empirical Validation of Bimodal MFD Models.” Frontiers in Future Transportation 1: 1.
   Google Scholar
• Paipuri, Mahendra, Yanyan Xu, Marta C González, and Ludovic Leclercq. 2020. “Estimating MFDs, Trip Lengths and Path Flow Distributions in A Multi-Region Setting Using Mobile Phone Data.” Transportation Research Part C: Emerging Technologies 118: 102709.
   Google Scholar
• Papageorgiou, Markos. 1998. “Some Remarks on Macroscopic Traffic Flow Modelling.” Transportation Research Part A: Policy and Practice 32 (5): 323–329.
   Web of Science ®Google Scholar
• Ramezani, Mohsen, Jack Haddad, and Nikolas Geroliminis. 2015. “Dynamics of Heterogeneity in Urban Networks: Aggregated Traffic Modeling and Hierarchical Control.” Transportation Research Part B: Methodological 74: 1–19.
   Web of Science ®Google Scholar
• Sirmatel, Isik Ilber, and Nikolas Geroliminis. 2021. “Stabilization of City-Scale Road Traffic Networks Via Macroscopic Fundamental Diagram-based Model Predictive Perimeter Control.” Control Engineering Practice 109: 104750.
   Google Scholar
• TSS. 2016. “AIMSUN Dynamic Simulator Users Manual v. 8.” Barcelona, Spain.
   Google Scholar
• Yildirimoglu, Mehmet, and Nikolas Geroliminis. 2014. “Approximating Dynamic Equilibrium Conditions with Macroscopic Fundamental Diagrams.” Transportation Research Part B: Methodological 70: 186–200.
   Web of Science ®Google Scholar
• Zheng, Nan, and Nikolas Geroliminis. 2013. “On the Distribution of Urban Road Space for Multimodal Congested Networks.” Transportation Research Part B: Methodological 57: 326–341.
   Web of Science ®Google Scholar
• Zheng, Nan, and Nikolas Geroliminis. 2016. “Modeling and Optimization of Multimodal Urban Networks with Limited Parking and Dynamic Pricing.” Transportation Research Part B: Methodological 83: 36–58.
   Web of Science ®Google Scholar
• Zhong, R. X., Y. P. Huang, C. Chen, W. H. K. Lam, D. B. Xu, and A. Sumalee. 2018. “Boundary Conditions and Behavior of the Macroscopic Fundamental Diagram Based Network Traffic Dynamics: A Control Systems Perspective.” Transportation Research Part B: Methodological 111: 327–355.
   Web of Science ®Google Scholar