Tunnel effects on road efficiency and travel time explored by a three lane traffic model

Zejing Hu1,2, M.N. Smirnova3, Yongliang Zhang1, Zuojin Zhu1,3, N.N. Smirnov3
1Faculty of Engineering Science, CAS Key Laboratory of Mechanical Behavior and Design Materials, University of Science and Technology of China, Hefei, 230026, China
2Anhui Xiang Shui Jian Pumped Storage Co., LTD, Wuhu 241083, China
3Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119992, Russia

Tài liệu tham khảo

Bogdanova, 2015, Exploring peculiarities of traffic flows with a viscoelastic model, Transp. A: Trans. Sci., 11, 561 Chang, 1988, Travel time prediction and departure time adjustment behavior dynamics in a congested traffic system, Transp. Res. Part B: Methodol., 22, 217, 10.1016/0191-2615(88)90017-3 Chang, 2006, A macroscopic traffic model for highway work zones: formulations and numerical results, J. Adv. Transp., 40, 265, 10.1002/atr.5670400303 Chen, 2001, Causes and cures of highway congestion, IEEE Control Syst. Mag., 21, 26, 10.1109/37.969132 Daganzo, 1997, Traffic flow theory, 67 Daganzo, 2002, A behavioral theory of multi-lane traffic flow: Part I: Long homogeneous freeway sections, Transp. Res. Part B: Methodol., 36, 131, 10.1016/S0191-2615(00)00042-4 Daganzo, 2002, A behavioral theory of multi-lane traffic flow: Part II: Merges and onset of congestion, Transp. Res. Part B: Methodol., 36, 159, 10.1016/S0191-2615(00)00043-6 Goñi-Ros, 2014, Mainstream traffic flow control at sags, Transp. Res. Rec.: J. Transp. Res. Board, 2470, 57, 10.3141/2470-06 Goñi-Ros, 2016, Optimization of traffic flow at freeway sags by controlling the acceleration of vehicles equipped with in-car systems, Transp. Res. Part C: Emerg. Technol., 71, 1, 10.1016/j.trc.2016.06.022 Haight, 1963 Helbing, 2001, Traffic and related self-driven many-particle systems, Rev. Modern Phys., 73, 1067, 10.1103/RevModPhys.73.1067 Helbing, 1997, Modeling and simulation of multilane traffic flow, Phys. Rev. E, 55, 5498, 10.1103/PhysRevE.55.5498 Helbing, 1998, Gas-kinetic-based traffic model explaining observed hysteretic phase transition, Phys. Rev. Lett., 81, 3042, 10.1103/PhysRevLett.81.3042 Henrick, 2005, Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points, J. Comput. Phys., 207, 542, 10.1016/j.jcp.2005.01.023 Hoogendoorn, 2000, Continuum modeling of multiclass traffic flow, Transp. Res. Part B: Methodol., 34, 123, 10.1016/S0191-2615(99)00017-X Jiang, 1996, Efficient implementation of weighted ENO schemes, J. Comput. Phys., 126, 202, 10.1006/jcph.1996.0130 Jin, 2018, Kinematic wave models of sag and tunnel bottlenecks, Transp. Res. Part B: Methodol., 107, 41, 10.1016/j.trb.2017.11.006 Kerner, 1998, Experimental features of self-organization in traffic flow, Phys. Rev. Lett., 81, 3797, 10.1103/PhysRevLett.81.3797 Kiselev, 2000, Irregular traffic flow on a ring road, J. Appl. Math. Mech., 64, 627, 10.1016/S0021-8928(00)00089-7 Koshi, 1992, Capacity of sags and tunnels on japanese motorways, ITE J., 62, 17 Lebacque, 2013, A variational formulation for higher order macroscopic traffic flow models of the GSOM family, Transp. Res. Part B: Methodol., 57, 245, 10.1016/j.trb.2013.07.005 Lighthill, 1955, On kinematic waves II: a theory of traffic flow on long crowded roads, Proc. Roy. Soc. Lond A, 229, 317, 10.1098/rspa.1955.0089 Ma, 2018, Effects of maximum relaxation in viscoelastic traffic flow modeling, Transp. Res. Part B: Methodol., 113, 143, 10.1016/j.trb.2018.05.013 Michalopoulos, 1984, Multilane traffic flow dynamics: Some macroscopic considerations, Transp. Res. Part B: Methodol., 18, 377, 10.1016/0191-2615(84)90019-5 Morris, 2007, Real-time video based highway traffic measurement and performance monitoring Richards, 1956, Shock waves on the freeway, Oper. Res., 4, 42, 10.1287/opre.4.1.42 Shu, 1988, Total-variation-diminishing time discretizations, SIAM J. Sci. Stat. Comput., 9, 1073, 10.1137/0909073 Shu, 1989, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys., 83, 32, 10.1016/0021-9991(89)90222-2 Shui, 1998, TVD scheme, 333 Smirnova, 2014, Multi-lane unsteady-state traffic flow models, J. Mechatron., 2, 1, 10.1166/jom.2014.1077 Smirnova, 2016, Traffic flow sensitivity to visco-elasticity, Theor. Appl. Mech. Lett., 6, 182, 10.1016/j.taml.2016.05.003 Smirnova, 2017, Traffic flow sensitivity to parameters in viscoelastic modelling, Transportmetrica B: Transp. Dynam., 5, 115 Wang, 1979, Regression analysis, 836 Wang, 2016, Travel time estimation method for urban road based on traffic stream directions, Transportmetrica A: Transp. Sci., 12, 497 Zhang, 2003, Driver memory, traffic viscosity and a viscous vehicular traffic flow model, Transp. Res. Part B: Methodol., 37, 27, 10.1016/S0191-2615(01)00043-1 Zhang, 2018, Travel time estimation by urgent-gentle class traffic flow model, Transp. Res. Part B: Methodol., 113, 121, 10.1016/j.trb.2018.05.010 Zhang, 2018, Travel time prediction with a viscoelastic traffic model, Appl. Math. Mech. (English Edition), 39, 1769, 10.1007/s10483-018-2400-9 Zhang, 2021, Freeway tunnel effect of travel time based-on a double lane traffic model, Int. J. Transp. Sci. Technol. Zhang, 2021, Tunnel effects on ring road traffic flow based on an urgent-gentle class traffic model, Theor. Appl. Mech. Lett., 11, 100283, 10.1016/j.taml.2021.100283 Zhang, 2009, A conserved higher order aniso-tropic traffic flow model: Description of equilibrium and non-equilibrium flows, Transp. Res. Part B: Methodol., 43, 562, 10.1016/j.trb.2008.10.001 Zhu, 2013, Visco-elastic traffic flow model, J. Adv. Transp., 47, 635, 10.1002/atr.186