Extending ramp metering control to mixed autonomy traffic flow with varying degrees of automation

Aw, 2000, Resurrection of second order models of traffic flow, SIAM J. Appl. Math., 60, 916, 10.1137/S0036139997332099 Baskar, 2009, Optimal routing for intelligent vehicle highway systems using a macroscopic traffic flow model, 1 Besselink, 2017, String stability and a delay-based spacing policy for vehicle platoons subject to disturbances, IEEE Trans. Automat. Control, 10.1109/TAC.2017.2682421 Bose, 2003, Analysis of traffic flow with mixed manual and semiautomated vehicles, IEEE Trans. Intell. Transp. Syst., 4, 173, 10.1109/TITS.2003.821340 Bose, 2003, Mixed manual/semi-automated traffic: A macroscopic analysis, Transp. Res. C, 11, 439, 10.1016/j.trc.2002.04.001 Buehler, 2009 Chen, 2014, Characterising scattering features in flow–density plots using a stochastic platoon model, Transp. A Transp. Sci., 10, 820 Coifman, 2015, Empirical flow-density and speed-spacing relationships: Evidence of vehicle length dependency, Transp. Res. B, 78, 54, 10.1016/j.trb.2015.04.006 Courant, 1928, Über die partiellen differenzengleichungen der mathematischen physik, Math. Ann., 100, 32, 10.1007/BF01448839 Daganzo, 1994, The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transp. Res. B, 28, 269, 10.1016/0191-2615(94)90002-7 Daganzo, 1995, The cell transmission model, part II: Network traffic, Transp. Res. B, 29, 79, 10.1016/0191-2615(94)00022-R Darbha, 1999, Intelligent cruise control systems and traffic flow stability, Transp. Res. C, 7, 329, 10.1016/S0968-090X(99)00024-8 Davis, 2004, Effect of adaptive cruise control systems on traffic flow, Phys. Rev. E, 69, 10.1103/PhysRevE.69.066110 Delis, 2016, Simulation of the penetration rate effects of ACC and CACC on macroscopic traffic dynamics, 336 Fenton, 1991, Automated highway studies at the Ohio State University—An overview, IEEE Trans. Veh. Technol., 40, 100, 10.1109/25.69978 Frejo, 2018, Feed-forward alinea: A ramp metering control algorithm for nearby and distant bottlenecks, IEEE Trans. Intell. Transp. Syst., 20, 2448, 10.1109/TITS.2018.2866121 Gomes, 2006, Optimal freeway ramp metering using the asymmetric cell transmission model, Transp. Res. C, 14, 244, 10.1016/j.trc.2006.08.001 Greenshields, 1934, The photographic method of studying traffic behavior, vol. 13 Guériau, 2016, How to assess the benefits of connected vehicles? A simulation framework for the design of cooperative traffic management strategies, Transp. Res. C, 67, 266, 10.1016/j.trc.2016.01.020 Gunter, 2020, Are commercially implemented adaptive cruise control systems string stable?, IEEE Trans. Intell. Transp. Syst., 22, 6992, 10.1109/TITS.2020.3000682 Gunter, 2019, Model based string stability of adaptive cruise control systems using field data, IEEE Trans. Intell. Veh., 5, 90, 10.1109/TIV.2019.2955368 Gunter, 2019, Modeling adaptive cruise control vehicles from experimental data: Model comparison, 3049 Han, 2022, A physics-informed reinforcement learning-based strategy for local and coordinated ramp metering, Transp. Res. C, 137, 10.1016/j.trc.2022.103584 Han, Y., Yuan, Y., Hegyi, A., Hoogendoorn, S., 2016. A new extension of discrete first-order model to reproduce the propagation of jam wave. In: Transportation Research Board 95th Annual Meeting. number 16–3482. He, 2022, Physics-augmented models to simulate commercial adaptive cruise control (ACC) systems, Transp. Res. C, 139, 10.1016/j.trc.2022.103692 Hegyi, 2002, Optimal coordination of ramp metering and variable speed control—An MPC approach, 3600 Hegyi, 2008, SPECIALIST: A dynamic speed limit control algorithm based on shock wave theory, 827 Helbing, 2009, On the controversy around daganzo’s requiem for and Aw-Rascle’s resurrection of second-order traffic flow models, Eur. Phys. J. B, 69, 549, 10.1140/epjb/e2009-00182-7 Hussain, 2016 Ioannou, 1993, Autonomous intelligent cruise control, IEEE Trans. Veh. Technol., 42, 657, 10.1109/25.260745 Ivanchev, 2017 Jacobson, 2006 Kachroo, 2001, Isolated ramp metering feedback control utilizing mixed sensitivity for desired mainline density and the ramp queues, 631 Kesting, 2008, Calibrating car-following models by using trajectory data: Methodological study, Transp. Res. Rec., 2088, 148, 10.3141/2088-16 Kesting, 2010, Enhanced intelligent driver model to access the impact of driving strategies on traffic capacity, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 368, 4585 Knorr, 2012, Reducing traffic jams via VANETs, IEEE Trans. Veh. Technol., 61, 3490, 10.1109/TVT.2012.2209690 Kontorinaki, 2017, First-order traffic flow models incorporating capacity drop: Overview and real-data validation, Transp. Res. B, 106, 52, 10.1016/j.trb.2017.10.014 Kotsialos, 2021, A varying parameter multi-class second-order macroscopic traffic flow model for coordinated ramp metering with global and local environmental objectives, Transp. Res. C, 128, 10.1016/j.trc.2021.103106 Kotsialos, 2004, Nonlinear optimal control applied to coordinated ramp metering, IEEE Trans. Control Syst. Technol., 12, 920, 10.1109/TCST.2004.833406 Kotsialos, 2001, Optimal coordinated ramp metering with advanced motorway optimal control, Transp. Res. Rec., 1748, 55, 10.3141/1748-07 Kurzhanskiy, A., Varaiya, P., 2008. CTMSIM: An interactive macroscopic freeway traffic simulator. Berkeley, CA. Lazar, 2020, Routing for traffic networks with mixed autonomy, IEEE Trans. Automat. Control, 66, 2664, 10.1109/TAC.2020.3020059 Levin, 2016, A multiclass cell transmission model for shared human and autonomous vehicle roads, Transp. Res. C, 62, 103, 10.1016/j.trc.2015.10.005 Levine, 1966, On the optimal error regulation of a string of moving vehicles, IEEE Trans. Automat. Control, 11, 355, 10.1109/TAC.1966.1098376 Li, 2022, Fundamental diagrams of commercial adaptive cruise control: Worldwide experimental evidence, Transp. Res. C, 134, 10.1016/j.trc.2021.103458 Li, 2016, Optimal mainline variable speed limit control to improve safety on large-scale freeway segments, Comput.-Aided Civ. Infrastruct. Eng., 31, 366, 10.1111/mice.12164 Lighthill, 1955, On kinematic waves II. A theory of traffic flow on long crowded roads, Proc. R. Soc. Lond. Ser. A Math. Phys. Sci., 229, 317 Lint, 2009, Multi-class first order traffic flow modeling, 421 Logghe, 2008, Multi-class kinematic wave theory of traffic flow, Transp. Res. B, 42, 523, 10.1016/j.trb.2007.11.001 Makridis, 2020, Empirical study on the properties of adaptive cruise control systems and their impact on traffic flow and string stability, Transp. Res. Rec., 2674, 471, 10.1177/0361198120911047 Masher, 1975 Milanés, 2014, Modeling cooperative and autonomous adaptive cruise control dynamic responses using experimental data, Transp. Res. C, 48, 285, 10.1016/j.trc.2014.09.001 Minderhoud, 1999, Impact of intelligent cruise control on motorway capacity, Transp. Res. Rec., 1679, 1, 10.3141/1679-01 Mizuta, 2014 Muralidharan, 2015, Computationally efficient model predictive control of freeway networks, Transp. Res. C, 58, 532, 10.1016/j.trc.2015.03.029 Newell, 2002, A simplified car-following theory: A lower order model, Transp. Res. B, 36, 195, 10.1016/S0191-2615(00)00044-8 Ngoduy, 2010, Multiclass first-order modelling of traffic networks using discontinuous flow-density relationships, Transportmetrica, 6, 121, 10.1080/18128600902857925 Ngoduy, 2011, Multiclass first-order traffic model using stochastic fundamental diagrams, Transportmetrica, 7, 111, 10.1080/18128600903251334 Ni, 2015 Nishi, 2013, Theory of jam-absorption driving, Transp. Res. B, 50, 116, 10.1016/j.trb.2013.02.003 Nissan, 2011, Evaluation of the impact of advisory variable speed limits on motorway capacity and level of service, Procedia Soc. Behav. Sci., 16, 100, 10.1016/j.sbspro.2011.04.433 Papageorgiou, 2003, Review of road traffic control strategies, Proc. IEEE, 91, 2043, 10.1109/JPROC.2003.819610 Papageorgiou, 1991, ALINEA: A local feedback control law for on-ramp metering, Transp. Res. Rec. J. Transp. Res. Board, 1320, 58 Papageorgiou, 2002, Freeway ramp metering: An overview, IEEE Trans. Intell. Transp. Syst., 3, 271, 10.1109/TITS.2002.806803 Pasquale, 2016, A two-class traffic control scheme for reducing congestion and improving safety in freeway systems, 1767 Pasquale, 2018, Optimal control for reducing congestion and improving safety in freeway systems, IEEE Trans. Intell. Transp. Syst., 19, 3613, 10.1109/TITS.2018.2868987 Payne, 1971, Models of freeway traffic and control, Proc. Simul. Counc., 1, 51 Popov, 2008, Distributed controller design approach to dynamic speed limit control against shockwaves on freeways, Transp. Res. Rec. J. Transp. Res. Board, 2086, 93, 10.3141/2086-11 Qian, 2017, Modeling heterogeneous traffic flow: A pragmatic approach, Transp. Res. B, 99, 183, 10.1016/j.trb.2017.01.011 Qu, 2015, On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models, Transp. Res. B, 73, 91, 10.1016/j.trb.2015.01.001 Qu, 2017, On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications, Transp. Res. B, 104, 256, 10.1016/j.trb.2017.07.003 Rajamani, 2011 Rajamani, 1998, Design and experimental implementation of control for a platoon of automated vehicles, AMSE J. Dyn. Syst. Meas. Control, 122, 470, 10.1115/1.1286682 Rajamani, 2002, Semi-autonomous adaptive cruise control systems, IEEE Trans. Veh. Technol., 51, 1186, 10.1109/TVT.2002.800617 Richards, 1956, Shock waves on the highway, Oper. Res., 4, 42, 10.1287/opre.4.1.42 Roncoli, 2019, Integrated optimal traffic flow control enabled by speed and time-gap regulation, 3763 Roncoli, 2015, Traffic flow optimisation in presence of vehicle automation and communication systems–part I: A first-order multi-lane model for motorway traffic, Transp. Res. C, 57, 241, 10.1016/j.trc.2015.06.014 Schakel, 2010, Effects of cooperative adaptive cruise control on traffic flow stability, 759 Shang, M., Stern, R., 2021a. A hybrid fundamental diagram for modeling mixed human and automated traffic flow. In: Proceedings of the IEEE Conference on Models and Technologies for Intelligent Transportation Systems. Shang, 2021, Impacts of commercially available adaptive cruise control vehicles on highway stability and throughput, Transp. Res. C, 122, 10.1016/j.trc.2020.102897 Shi, 2021, Constructing a fundamental diagram for traffic flow with automated vehicles: Methodology and demonstration, Transp. Res. B, 150, 279, 10.1016/j.trb.2021.06.011 Shladover, 1995, Review of the state of development of advanced vehicle control systems (AVCS), Veh. Syst. Dyn., 24, 551, 10.1080/00423119508969108 Shladover, 2012, Impacts of cooperative adaptive cruise control on freeway traffic flow, Transp. Res. Rec., 2324, 63, 10.3141/2324-08 Smulders, 1990, Control of freeway traffic flow by variable speed signs, Transp. Res. B, 24, 111, 10.1016/0191-2615(90)90023-R de Souza, F., Stern, R.E., 2019. Calibrating microscopic model for commercially available autonomous driving systems: A multi-objective approach. In: Transportation Research Board Annual Meeting. Spiliopoulou, 2018, Adaptive cruise control operation for improved motorway traffic flow, Transp. Res. Rec., 2672, 24, 10.1177/0361198118796020 Stern, 2018, Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments, Transp. Res. C, 89, 205, 10.1016/j.trc.2018.02.005 Sugiyama, 2008, Traffic jams without bottlenecks – experimental evidence for the physical mechanism of the formation of a jam, New J. Phys., 10, 10.1088/1367-2630/10/3/033001 Swaroop, 1996, String stability of interconnected systems, IEEE Trans. Automat. Control, 41, 349, 10.1109/9.486636 Tajdari, 2021, Adaptive traffic control at motorway bottlenecks with time-varying fundamental diagram, IFAC-PapersOnLine, 54, 271, 10.1016/j.ifacol.2021.06.051 Talebpour, 2016, Influence of connected and autonomous vehicles on traffic flow stability and throughput, Transp. Res. C, 71, 143, 10.1016/j.trc.2016.07.007 Taniguchi, 2015, A demonstration experiment of a theory of jam-absorption driving, 479 Torné, 2014, Coordinated active traffic management freeway strategies using capacity-lagged cell transmission model, vol. 93 Treiber, 2013 Tuerprasert, 2010, Multiclass cell transmission model for heterogeneous mobility in general topology of road network, J. Intell. Transp. Syst., 14, 68, 10.1080/15472451003719715 Van Lint, 2008, Fastlane: New multiclass first-order traffic flow model, Transp. Res. Rec., 2088, 177, 10.3141/2088-19 Wang, 2017, Comparing traffic state estimators for mixed human and automated traffic flows, Transp. Res. C, 78, 95, 10.1016/j.trc.2017.02.011 Wang, 1973, Computer model for optimal freeway on-ramp control, Highw. Res. Rec., 469, 16 Wang, 2010, Local ramp metering in the presence of random-location bottlenecks downstream of a metered on-ramp, 1462 Wang, 2023, A general approach to smoothing nonlinear mixed traffic via control of autonomous vehicles, Transp. Res. C, 146, 10.1016/j.trc.2022.103967 van de Weg, G., Hegyi, A., Hellendoorn, H., Shladover, S.E., 2014. Cooperative Systems Based Control for Integrating Ramp Metering and Variable Speed Limits. In: Transportation Research Board 93rd Annual Meeting. number 14–1432. Whitham, 1974 Wong, 2002, A multi-class traffic flow model–an extension of LWR model with heterogeneous drivers, Transp. Res., 36, 827 Wu, F., Stern, R.E., Churchill, M., Monache, M.L.D., Han, K., Piccoli, B., Work, D., 2017. Measuring Trajectories and Fuel Consumption in Oscillatory Traffic: Experimental Results. In: Proceedings of the 96Th Transportation Research Board Annual Meeting. Yperman, 2007 Zhang, 2002, A non-equilibrium traffic model devoid of gas-like behavior, Transp. Res. B, 36, 275, 10.1016/S0191-2615(00)00050-3 Zhang, 2005, A car-following theory for multiphase vehicular traffic flow, Transp. Res. B, 39, 385, 10.1016/j.trb.2004.06.005 Zhou, 2020, Modeling the fundamental diagram of mixed human-driven and connected automated vehicles, Transp. Res. C, 115, 10.1016/j.trc.2020.102614