Macroscopic traffic flow modelling of large-scale freeway networks with field data verification: State-of-the-art review, benchmarking framework, and case studies using METANET

•This work focuses on macroscopic traffic flow model calibration and validation of large freeway networks.•An intensive literature review is presented on the subject to determine the strengths and weaknesses of various technical paths, and figure out a viable roadmap for future studies.•The paper pr...

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Published in:Transportation research. Part C, Emerging technologies Vol. 145; p. 103904
Main Authors: Wang, Yibing, Yu, Xianghua, Guo, Jinqiu, Papamichail, Ioannis, Papageorgiou, Markos, Zhang, Lihui, Hu, Simon, Li, Yongfu, Sun, Jian
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2022
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ISSN:0968-090X, 1879-2359
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Abstract •This work focuses on macroscopic traffic flow model calibration and validation of large freeway networks.•An intensive literature review is presented on the subject to determine the strengths and weaknesses of various technical paths, and figure out a viable roadmap for future studies.•The paper proposes a benchmarking framework concerning some of the key factors about macroscopic traffic flow model calibration and validation, which including congestion tracking, traffic flow inhomogeneity, adverse weather conditions and accidents, capacity drop, scattering, hysteresis, stop-and-go waves, and traffic heterogeneity.•The paper presents comprehensive results of model calibration and validation concerning key factors included in the benchmarking framework as stated above.•Works of the same focus were not reported before. Macroscopic traffic flow models are of paramount importance to traffic surveillance and control. Before their employments in applications, the models need to be calibrated and validated against real traffic data. The model calibration determines an optimal set of model parameters that minimizes the discrepancy between the modeling results and real traffic data. The model validation is furthermore performed to corroborate the accuracy of a calibrated model using data other than used for calibration. The model calibration aims to reflect traffic reality, while model validation focuses on the prediction of future traffic using calibrated models. This paper delivers a comprehensive review of state-of-the-art works on macroscopic model calibration and validation, proposes a benchmarking framework on traffic flow modeling, and has conducted a large number of case studies based on the framework using macroscopic traffic flow model METANET with respect to the urban expressway network in Shanghai. In comparison to previous works, quite more comprehensive results on model calibration have been presented in this paper, in consideration of congestion tracking, traffic flow inhomogeneity, capacity drop, stop-and-go waves, scattering, adverse weather conditions, and accidents. The paper has also reported many results of model validation with respect to the same field examples. The results demonstrate that METANET is able to model complex traffic flow dynamics in large-scale freeway networks with sufficient accuracy. The paper is closed with discussion on limitations and future works.
AbstractList •This work focuses on macroscopic traffic flow model calibration and validation of large freeway networks.•An intensive literature review is presented on the subject to determine the strengths and weaknesses of various technical paths, and figure out a viable roadmap for future studies.•The paper proposes a benchmarking framework concerning some of the key factors about macroscopic traffic flow model calibration and validation, which including congestion tracking, traffic flow inhomogeneity, adverse weather conditions and accidents, capacity drop, scattering, hysteresis, stop-and-go waves, and traffic heterogeneity.•The paper presents comprehensive results of model calibration and validation concerning key factors included in the benchmarking framework as stated above.•Works of the same focus were not reported before. Macroscopic traffic flow models are of paramount importance to traffic surveillance and control. Before their employments in applications, the models need to be calibrated and validated against real traffic data. The model calibration determines an optimal set of model parameters that minimizes the discrepancy between the modeling results and real traffic data. The model validation is furthermore performed to corroborate the accuracy of a calibrated model using data other than used for calibration. The model calibration aims to reflect traffic reality, while model validation focuses on the prediction of future traffic using calibrated models. This paper delivers a comprehensive review of state-of-the-art works on macroscopic model calibration and validation, proposes a benchmarking framework on traffic flow modeling, and has conducted a large number of case studies based on the framework using macroscopic traffic flow model METANET with respect to the urban expressway network in Shanghai. In comparison to previous works, quite more comprehensive results on model calibration have been presented in this paper, in consideration of congestion tracking, traffic flow inhomogeneity, capacity drop, stop-and-go waves, scattering, adverse weather conditions, and accidents. The paper has also reported many results of model validation with respect to the same field examples. The results demonstrate that METANET is able to model complex traffic flow dynamics in large-scale freeway networks with sufficient accuracy. The paper is closed with discussion on limitations and future works.
ArticleNumber 103904
Author Zhang, Lihui
Yu, Xianghua
Guo, Jinqiu
Li, Yongfu
Papamichail, Ioannis
Papageorgiou, Markos
Wang, Yibing
Hu, Simon
Sun, Jian
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  surname: Wang
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– sequence: 2
  givenname: Xianghua
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  givenname: Jinqiu
  surname: Guo
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  organization: Key Laboratory of Road and Traffic Engineering, Ministry of Education, Tongji University, Shanghai 201804, China
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  organization: Institute of Intelligent Transportation Systems, Zhejiang University, Hangzhou 310058, China
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  givenname: Simon
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  fullname: Hu, Simon
  organization: Zhejiang University/University of Illinois at Urbana-Champaign Institute (ZJU-UIUC Institute), Haining, 314400, China
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  givenname: Yongfu
  surname: Li
  fullname: Li, Yongfu
  organization: Key Laboratory of Intelligent Air-Ground Cooperative Control for Universities in Chongqing, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
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  givenname: Jian
  surname: Sun
  fullname: Sun, Jian
  organization: Key Laboratory of Road and Traffic Engineering, Ministry of Education, Tongji University, Shanghai 201804, China
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Cites_doi 10.1016/j.trc.2021.103165
10.1023/A:1008202821328
10.1016/0191-2615(94)90002-7
10.1016/0191-2615(95)00007-Z
10.3141/2088-19
10.1016/j.trc.2015.08.016
10.1016/S1474-6670(17)32430-8
10.1016/j.trb.2004.03.003
10.1016/j.trc.2009.01.002
10.1016/0191-2615(89)90021-0
10.1007/s10479-005-5724-z
10.1098/rspa.1955.0089
10.1016/j.trb.2013.11.005
10.1016/j.trb.2006.02.011
10.1155/2017/4879170
10.1109/TITS.2002.806803
10.1007/s12351-015-0219-4
10.1093/comjnl/8.1.42
10.1016/j.trc.2012.02.007
10.1109/TCST.2010.2063705
10.1016/j.trb.2012.07.002
10.1287/opre.4.1.42
10.1109/ICNN.1995.488968
10.1016/j.trb.2015.03.017
10.1109/5992.790593
10.3141/1876-06
10.1016/j.trc.2009.09.005
10.1093/comjnl/7.4.308
10.1016/j.trc.2006.06.001
10.1002/atr.1334
10.1016/j.trb.2017.10.014
10.1016/j.trc.2021.103444
10.3934/nhm.2014.9.239
10.1177/095965180121500402
10.1016/j.trc.2009.05.014
10.1016/j.na.2006.03.029
10.1137/S0036141001399350
10.1137/140977977
10.1016/j.advengsoft.2018.08.011
10.1287/trsc.1090.0314
10.1177/0361198106196500119
10.1137/S0036139997332099
10.1093/imamat/hxs012
10.1109/TITS.2017.2724941
10.1109/TITS.2002.806804
10.1103/PhysRevE.59.239
10.1016/j.trb.2015.01.001
10.1007/BF00175354
10.1109/TITS.2014.2307884
10.1109/JPROC.2003.819610
10.1016/j.trc.2015.01.013
10.1016/j.trb.2017.12.006
10.1016/j.amar.2021.100187
10.1137/S0036139901393184
10.1016/j.asoc.2015.09.011
10.1109/TITS.2020.2971663
10.1016/0005-1098(81)90071-6
10.1287/trsc.2017.0745
10.1016/j.trb.2007.11.001
10.1016/S0191-2615(00)00050-3
10.1016/j.trb.2021.03.007
10.1016/j.trc.2016.07.008
10.1007/s13676-014-0045-5
10.1016/j.trb.2021.09.004
10.1016/0191-2615(95)00017-8
10.1016/j.physa.2007.07.041
10.1016/j.trc.2014.01.009
10.1137/S1052623496303470
10.23919/ACC.2004.1383703
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Keywords Freeway traffic flow model calibration and validation
Traffic flow inhomogeneity
Capacity drop
Congestion tracking
Weather conditions
Accidents
Language English
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References Rubinstein, Kroese (b0340) 2004
Bie, Y., Qiu, T. Z., Zhang, C., & Zhang, C. (2017). Introducing weather factor modelling into macro traffic state prediction. Journal of advanced transportation, 2017.
Papageorgiou (b0265) 1998; 32
Wang, Papageorgiou, Messmer (b0420) 2008; 42
De Boer, Kroese, Mannor, Rubinstein (b0090) 2005; 134
Treiber, Kesting (b0375) 2013
Storn, Price (b0365) 1997; 11
Cheng, Liu, Lin, Zhou (b0050) 2021; 153
M. J. Lighthill, and G. B. Whitham, “On kinematic waves. II. A theory of traffic flow on long crowded roads,” Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 1955, vol. 229, pp. 317-345.
Pasquale, Papamichail, Roncoli, Sacone, Siri, Papageorgiou (b0290) 2015; 55
Wang, Li, Chen, Ni (b0405) 2011; 45
Colombo, Goatin, Priuli (b0070) 2007; 66
Van Laarhoven, Aarts (b0385) 1987
Kan, Wang, Papageorgiou, Papamichail (b9010) 2016; 62
Lebacque, Mammar, Haj-Salem (b0165) 2007; 2007
Spiliopoulou, Papamichail, Papageorgiou, Tyrinopoulos, Chrysoulakis (b0360) 2017; 17
Wang, Kosmatopoulous, Papageorgiou, Papamichail (b9005) 2014; 15
Lagarias, Reeds, Wright, Wright (b0160) 1998; 9
Colombo (b0065) 2003; 63
Poole, Kotsialos (b0310) 2017; 19
Frejo, Camacho, Horowitz (b0120) 2012
A. Messmer and M. Papageorgiou, “METANET: A macroscopic simulation program for motorway networks,” Traffic Eng. Contr., vol. 31, pp. 466–470, 549, 1990.
Luspay, Kulcsár, van Wingerden, Verhaegen, Bokor (b0200) 2010; 19
Oh, Yeo (b0260) 2015; 77
Papageorgiou, Papamichail, Messmer, Wang (b0285) 2010
Yuan, Knoop, Hoogendoorn (b0455) 2017; 51
Sanwal, Petty, Walrand, Fawaz (b0345) 1996; 30
Daganzo (b0080) 1994; 28
Lebacque, J. P. (1993). Les modeles macroscopiques de trafic. In Annales des Ponts et chaussées (No. 67, pp. 24-45).
Payne (b0295) 1971; 1
Prigogine, I. (1961). A Boltzmann-like approach to the statistical theory of traffic flow. Theory of traffic flow.
Zhang (b0460) 2002; 36
Luspay, Kulcsár, Varga, Bokor (b0195) 2010; 18
Nelder, Mead (b0235) 1965; 7
Riedmiller, Braun (b0335) 1993
Kontorinaki, Spiliopoulou, Roncoli, Papageorgiou (b0150) 2017; 106
Wang, Xie, Duan, Huang (b0425) 2018
van Wageningen-Kessels, Van Lint, Vuik, Hoogendoorn (b0400) 2015; 4
Qu, Wang, Zhang (b0325) 2015; 73
Logghe, Immers (b0190) 2008; 42
Richards (b0330) 1956; 4
Dervisoglu, G., Gomes, G., Kwon, J., Horowitz, R., & Varaiya, P. (2009, January). Automatic calibration of the fundamental diagram and empirical observations on capacity. In Transportation Research Board 88th Annual Meeting (Vol. 15, pp. 31-59).
Hoogendoorn, S. P., & Bovy, P. H. (2001). State-of-the-art of vehicular traffic flow modelling. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 215(4), 283-303.
Carlson, Papamichail, Papageorgiou, Messmer (b0025) 2010; 44
Fan, S., Sun, Y., Piccoli, B., Seibold, B., & Work, D. B. (2017). A collapsed generalized Aw-Rascle-Zhang model and its model accuracy. arXiv preprint arXiv:1702.03624.
Ngoduy, Hoogendoorn, Van Zuylen (b0245) 2004; 1876
Poole, Kotsialos (b0300) 2016; 38
Cremer, Papageorgiou (b0075) 1981; 17
Lebacque, J. P. (1996). The Godunov scheme and what it means for first order traffic flow models. In Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July (Vol. 2426, pp. 647-677).
Ngoduy, Hoogendoorn (b0240) 2003; 36
Zhao, Roncoli, Wang, Bekiaris-Liberis, Guo, Cheng (b9000) 2021
Chen, Liu (b0045) 2003; 34
Fan, Work (b0115) 2015; 75
Aw, Rascle (b0005) 2000; 60
Carlson, Papamichail, Papageorgiou, Messmer (b0020) 2010; 18
van Wageningen-Kessels (b0395) 2019
Mohammadian, Haque, Zheng, Bhaskar (b0210) 2021; 32
Wang, Zhao, Yu, Hu, Zheng, Hua, Guo (b0435) 2022; 134
Helbing, Treiber (b0130) 1999; 1
Mohammadian, Zheng, Haque, Bhaskar (b0215) 2021; 147
Muñoz, Sun, Horowitz, Alvarez (b0230) 2006; 1965
Whitham (b0440) 1974
Box (b0015) 1965; 8
Wang, Papageorgiou (b0410) 2005; 39
Wang, Papageorgiou, Messmer (b0415) 2006; 14
Kennedy, Eberhart (b0140) 1995; Vol. 4
Whitley (b0445) 1994; 4
Zhong, Chen, Chow, Pan, Yuan, He (b0465) 2016; 50
Wang, Yu, Zhang, Zheng, Guo, Zhang, Wei (b0430) 2021; 22
Muñoz, L., Sun, X., Sun, D., Gomes, G., & Horowitz, R. (2004, June). Methodological calibration of the cell transmission model. In Proceedings of the 2004 American Control Conference (Vol. 1, pp. 798-803).
Spiliopoulou A., Papamichail I., Papageorgiou M. and Chrysoulakis, J., “CALISTO user’s manual”, Deliverable 4.1, Technical Report for the Project SMOOTH, ARCHIMEDES III, Athens, July 2014.
Chung, Rudjanakanoknad, Cassidy (b0060) 2007; 41
Strofylas, Porfyri, Nikolos, Delis, Papageorgiou (b0370) 2018; 125
Kotsialos, Papageorgiou, Diakaki, Pavlis, Middelham (b0155) 2002; 3
Van Lint, Hoogendoorn, Schreuder (b0390) 2008; 2088
Chevallier, Leclercq (b0055) 2009; 17
Ngoduy, Liu (b0250) 2007; 385
Punzo, Zheng, Montanino (b0320) 2021; 128
Papageorgiou, Kotsialos (b0280) 2002; 3
Poole, Kotsialos (b0305) 2016; 71
Yang, Deb (b0450) 2009
Kondyli, Duret, Elefteriadou (b0145) 2007
Papageorgiou, Blosseville, Hadj-Salem (b0270) 1989; 23
Chen, Ahn, Laval, Zheng (b0040) 2014; 59
Ngoduy, Maher (b0255) 2012; 24
Chen, Laval, Ahn, Zheng (b0035) 2012; 46
Fan, Herty, Seibold (b0110) 2014; 9
Godunov (b0125) 1959; 47
Moutari, Herty, Klein, Oeser, Steinauer, Schleper (b0220) 2013; 78
Treiber, Hennecke, Helbing (b0380) 1999; 59
Eberhart, Kennedy (b0100) 1995
Ljung (b0185) 1998
Daganzo (b0085) 1995; 29
Papageorgiou, Diakaki, Dinopoulou, Kotsialos, Wang (b0275) 2003; 91
Chen, Ahn (b0030) 2018; 108
Spiliopoulou, Kontorinaki, Papageorgiou, Kopelias (b0355) 2014; 41
Payne (10.1016/j.trc.2022.103904_b0295) 1971; 1
Rubinstein (10.1016/j.trc.2022.103904_b0340) 2004
Papageorgiou (10.1016/j.trc.2022.103904_b0265) 1998; 32
Kontorinaki (10.1016/j.trc.2022.103904_b0150) 2017; 106
Chung (10.1016/j.trc.2022.103904_b0060) 2007; 41
Box (10.1016/j.trc.2022.103904_b0015) 1965; 8
10.1016/j.trc.2022.103904_b0225
Ngoduy (10.1016/j.trc.2022.103904_b0240) 2003; 36
Chen (10.1016/j.trc.2022.103904_b0040) 2014; 59
10.1016/j.trc.2022.103904_b0105
Oh (10.1016/j.trc.2022.103904_b0260) 2015; 77
Wang (10.1016/j.trc.2022.103904_b0410) 2005; 39
Papageorgiou (10.1016/j.trc.2022.103904_b0285) 2010
Wang (10.1016/j.trc.2022.103904_b0415) 2006; 14
Moutari (10.1016/j.trc.2022.103904_b0220) 2013; 78
Daganzo (10.1016/j.trc.2022.103904_b0080) 1994; 28
Frejo (10.1016/j.trc.2022.103904_b0120) 2012
Cremer (10.1016/j.trc.2022.103904_b0075) 1981; 17
Poole (10.1016/j.trc.2022.103904_b0305) 2016; 71
Treiber (10.1016/j.trc.2022.103904_b0375) 2013
10.1016/j.trc.2022.103904_b0180
Chen (10.1016/j.trc.2022.103904_b0030) 2018; 108
Ngoduy (10.1016/j.trc.2022.103904_b0250) 2007; 385
Ngoduy (10.1016/j.trc.2022.103904_b0245) 2004; 1876
Pasquale (10.1016/j.trc.2022.103904_b0290) 2015; 55
Strofylas (10.1016/j.trc.2022.103904_b0370) 2018; 125
10.1016/j.trc.2022.103904_b0010
Carlson (10.1016/j.trc.2022.103904_b0025) 2010; 44
Kotsialos (10.1016/j.trc.2022.103904_b0155) 2002; 3
10.1016/j.trc.2022.103904_b0175
Wang (10.1016/j.trc.2022.103904_b0435) 2022; 134
Wang (10.1016/j.trc.2022.103904_b9005) 2014; 15
Storn (10.1016/j.trc.2022.103904_b0365) 1997; 11
Mohammadian (10.1016/j.trc.2022.103904_b0210) 2021; 32
10.1016/j.trc.2022.103904_b0135
Luspay (10.1016/j.trc.2022.103904_b0195) 2010; 18
Helbing (10.1016/j.trc.2022.103904_b0130) 1999; 1
Mohammadian (10.1016/j.trc.2022.103904_b0215) 2021; 147
Spiliopoulou (10.1016/j.trc.2022.103904_b0360) 2017; 17
Poole (10.1016/j.trc.2022.103904_b0310) 2017; 19
Daganzo (10.1016/j.trc.2022.103904_b0085) 1995; 29
Muñoz (10.1016/j.trc.2022.103904_b0230) 2006; 1965
van Wageningen-Kessels (10.1016/j.trc.2022.103904_b0400) 2015; 4
Chen (10.1016/j.trc.2022.103904_b0045) 2003; 34
10.1016/j.trc.2022.103904_b0170
Punzo (10.1016/j.trc.2022.103904_b0320) 2021; 128
van Wageningen-Kessels (10.1016/j.trc.2022.103904_b0395) 2019
Whitley (10.1016/j.trc.2022.103904_b0445) 1994; 4
10.1016/j.trc.2022.103904_b0095
Richards (10.1016/j.trc.2022.103904_b0330) 1956; 4
Zhong (10.1016/j.trc.2022.103904_b0465) 2016; 50
Fan (10.1016/j.trc.2022.103904_b0110) 2014; 9
Cheng (10.1016/j.trc.2022.103904_b0050) 2021; 153
Kan (10.1016/j.trc.2022.103904_b9010) 2016; 62
Wang (10.1016/j.trc.2022.103904_b0425) 2018
Luspay (10.1016/j.trc.2022.103904_b0200) 2010; 19
10.1016/j.trc.2022.103904_b0205
Lebacque (10.1016/j.trc.2022.103904_b0165) 2007; 2007
Papageorgiou (10.1016/j.trc.2022.103904_b0275) 2003; 91
Wang (10.1016/j.trc.2022.103904_b0430) 2021; 22
Colombo (10.1016/j.trc.2022.103904_b0065) 2003; 63
Sanwal (10.1016/j.trc.2022.103904_b0345) 1996; 30
Godunov (10.1016/j.trc.2022.103904_b0125) 1959; 47
Poole (10.1016/j.trc.2022.103904_b0300) 2016; 38
Whitham (10.1016/j.trc.2022.103904_b0440) 1974
Carlson (10.1016/j.trc.2022.103904_b0020) 2010; 18
Ngoduy (10.1016/j.trc.2022.103904_b0255) 2012; 24
Nelder (10.1016/j.trc.2022.103904_b0235) 1965; 7
Qu (10.1016/j.trc.2022.103904_b0325) 2015; 73
De Boer (10.1016/j.trc.2022.103904_b0090) 2005; 134
Zhang (10.1016/j.trc.2022.103904_b0460) 2002; 36
Zhao (10.1016/j.trc.2022.103904_b9000) 2021
Chen (10.1016/j.trc.2022.103904_b0035) 2012; 46
Eberhart (10.1016/j.trc.2022.103904_b0100) 1995
10.1016/j.trc.2022.103904_b0350
Riedmiller (10.1016/j.trc.2022.103904_b0335) 1993
Yuan (10.1016/j.trc.2022.103904_b0455) 2017; 51
Kennedy (10.1016/j.trc.2022.103904_b0140) 1995; Vol. 4
10.1016/j.trc.2022.103904_b0315
Ljung (10.1016/j.trc.2022.103904_b0185) 1998
Papageorgiou (10.1016/j.trc.2022.103904_b0280) 2002; 3
Treiber (10.1016/j.trc.2022.103904_b0380) 1999; 59
Aw (10.1016/j.trc.2022.103904_b0005) 2000; 60
Wang (10.1016/j.trc.2022.103904_b0405) 2011; 45
Yang (10.1016/j.trc.2022.103904_b0450) 2009
Colombo (10.1016/j.trc.2022.103904_b0070) 2007; 66
Fan (10.1016/j.trc.2022.103904_b0115) 2015; 75
Kondyli (10.1016/j.trc.2022.103904_b0145) 2007
Logghe (10.1016/j.trc.2022.103904_b0190) 2008; 42
Van Lint (10.1016/j.trc.2022.103904_b0390) 2008; 2088
Papageorgiou (10.1016/j.trc.2022.103904_b0270) 1989; 23
Van Laarhoven (10.1016/j.trc.2022.103904_b0385) 1987
Spiliopoulou (10.1016/j.trc.2022.103904_b0355) 2014; 41
Lagarias (10.1016/j.trc.2022.103904_b0160) 1998; 9
Chevallier (10.1016/j.trc.2022.103904_b0055) 2009; 17
Wang (10.1016/j.trc.2022.103904_b0420) 2008; 42
References_xml – volume: 45
  start-page: 554
  year: 2011
  end-page: 566
  ident: b0405
  article-title: Logistic modeling of the equilibrium speed–density relationship
  publication-title: Transportation research part A: policy and practice
– reference: A. Messmer and M. Papageorgiou, “METANET: A macroscopic simulation program for motorway networks,” Traffic Eng. Contr., vol. 31, pp. 466–470, 549, 1990.
– volume: 29
  start-page: 277
  year: 1995
  end-page: 286
  ident: b0085
  article-title: Requiem for second-order fluid approximations of traffic flow
  publication-title: Transportation Research Part B: Methodological
– volume: 128
  year: 2021
  ident: b0320
  article-title: About calibration of car-following dynamics of automated and human-driven vehicles: Methodology, guidelines and codes
  publication-title: Transportation Research Part C: Emerging Technologies
– reference: Bie, Y., Qiu, T. Z., Zhang, C., & Zhang, C. (2017). Introducing weather factor modelling into macro traffic state prediction. Journal of advanced transportation, 2017.
– volume: 24
  start-page: 102
  year: 2012
  end-page: 121
  ident: b0255
  article-title: Calibration of second order traffic models using continuous cross entropy method
  publication-title: Transportation Research Part C: Emerging Technologies
– reference: Dervisoglu, G., Gomes, G., Kwon, J., Horowitz, R., & Varaiya, P. (2009, January). Automatic calibration of the fundamental diagram and empirical observations on capacity. In Transportation Research Board 88th Annual Meeting (Vol. 15, pp. 31-59).
– volume: 1
  start-page: 89
  year: 1999
  end-page: 98
  ident: b0130
  article-title: Numerical simulation of macroscopic traffic equations
  publication-title: Computing in Science & Engineering
– volume: 14
  start-page: 190
  year: 2006
  end-page: 212
  ident: b0415
  article-title: RENAISSANCE–A unified macroscopic model-based approach to real-time freeway network traffic surveillance
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 91
  start-page: 2043
  year: 2003
  end-page: 2067
  ident: b0275
  article-title: Review of road traffic control strategies
  publication-title: Proceedings of the IEEE
– volume: 71
  start-page: 356
  year: 2016
  end-page: 381
  ident: b0305
  article-title: Second order macroscopic traffic flow model validation using automatic differentiation with resilient backpropagation and particle swarm optimisation algorithms
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 9
  start-page: 239
  year: 2014
  ident: b0110
  article-title: Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
  publication-title: Networks & Heterogeneous Media
– volume: 4
  start-page: 445
  year: 2015
  end-page: 473
  ident: b0400
  article-title: Genealogy of traffic flow models
  publication-title: EURO Journal on Transportation and Logistics
– start-page: 6983
  year: 2012
  end-page: 6988
  ident: b0120
  article-title: December). A parameter identification algorithm for the METANET model with a limited number of loop detectors
  publication-title: In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
– reference: Prigogine, I. (1961). A Boltzmann-like approach to the statistical theory of traffic flow. Theory of traffic flow.
– volume: 17
  start-page: 328
  year: 2009
  end-page: 336
  ident: b0055
  article-title: Do microscopic merging models reproduce the observed priority sharing ratio in congestion?
  publication-title: Transportation Research Part C: Emerging Technologies
– year: 2019
  ident: b0395
  article-title: Traffic Flow Modelling: Introduction to Traffic Flow Theory Through a Genealogy of Models
– volume: 28
  start-page: 269
  year: 1994
  end-page: 287
  ident: b0080
  article-title: The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory
  publication-title: Transportation Research Part B: Methodological
– volume: 47
  start-page: 271
  year: 1959
  end-page: 306
  ident: b0125
  article-title: A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations
  publication-title: Math. Sbornik
– volume: 17
  start-page: 145
  year: 2017
  end-page: 164
  ident: b0360
  article-title: Macroscopic traffic flow model calibration using different optimization algorithms
  publication-title: Operational Research
– volume: 134
  year: 2022
  ident: b0435
  article-title: Real-time joint traffic state and model parameter estimation on freeways with fixed sensors and connected vehicles: State-of-the-art overview, methods, and case studies
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 42
  start-page: 1340
  year: 2008
  end-page: 1358
  ident: b0420
  article-title: Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing
  publication-title: Transportation Research Part A: Policy and Practice
– reference: M. J. Lighthill, and G. B. Whitham, “On kinematic waves. II. A theory of traffic flow on long crowded roads,” Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 1955, vol. 229, pp. 317-345.
– start-page: 1
  year: 2018
  end-page: 6
  ident: b0425
  article-title: A Modified Cell Transmission Model Incorporating Capacity Drop at Merge Bottleneck Considering On-Ramp Flow
  publication-title: In 2018 10th International Conference on ModellIng, Identification and Control (ICMIC)
– volume: 44
  start-page: 238
  year: 2010
  end-page: 253
  ident: b0025
  article-title: Optimal Motorway Traffic Flow Control Involving Variable Speed Limits and Ramp Metering
  publication-title: Transportation Science
– volume: 134
  start-page: 19
  year: 2005
  end-page: 67
  ident: b0090
  article-title: A tutorial on the cross-entropy method
  publication-title: Annals of operations research
– volume: 9
  start-page: 112
  year: 1998
  end-page: 147
  ident: b0160
  article-title: Convergence properties of the Nelder-Mead simplex method in low dimensions
  publication-title: SIAM Journal on optimization
– volume: 125
  start-page: 1
  year: 2018
  end-page: 18
  ident: b0370
  article-title: Using synchronous and asynchronous parallel Differential Evolution for calibrating a second-order traffic flow model
  publication-title: Advances in Engineering Software
– volume: 1
  start-page: 51
  year: 1971
  end-page: 61
  ident: b0295
  article-title: Models of freeway traffic and control
  publication-title: Simulation Council Proceedings Series
– volume: 4
  start-page: 42
  year: 1956
  end-page: 51
  ident: b0330
  article-title: Shock waves on the highway
  publication-title: Operations research
– volume: 2088
  start-page: 177
  year: 2008
  end-page: 187
  ident: b0390
  article-title: Fastlane: New multiclass first-order traffic flow model
  publication-title: Transportation Research Record
– volume: 108
  start-page: 1
  year: 2018
  end-page: 20
  ident: b0030
  article-title: Capacity-drop at extended bottlenecks: Merge, diverge, and weave
  publication-title: Transportation Research Part B: Methodological
– volume: 55
  start-page: 85
  year: 2015
  end-page: 99
  ident: b0290
  article-title: Two-class freeway traffic regulation to reduce congestion and emissions via nonlinear optimal control
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 34
  start-page: 925
  year: 2003
  end-page: 938
  ident: b0045
  article-title: Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids
  publication-title: SIAM journal on mathematical analysis
– volume: 41
  start-page: 82
  year: 2007
  end-page: 95
  ident: b0060
  article-title: Relation between traffic density and capacity drop at three freeway bottlenecks
  publication-title: Transportation Research Part B: Methodological
– volume: 62
  start-page: 149
  year: 2016
  end-page: 170
  ident: b9010
  article-title: Local ramp metering with distant downstream bottlenecks: A comparative study
  publication-title: Transport. Res. Part C
– volume: 36
  start-page: 275
  year: 2002
  end-page: 290
  ident: b0460
  article-title: A non-equilibrium traffic model devoid of gas-like behavior
  publication-title: Transp. Res. Part B
– volume: 60
  start-page: 916
  year: 2000
  end-page: 938
  ident: b0005
  article-title: Resurrection of “second order” models of traffic flow
  publication-title: SIAM J. Appl. Math.
– volume: 59
  start-page: 117
  year: 2014
  end-page: 136
  ident: b0040
  article-title: On the periodicity of traffic oscillations and capacity drop: the role of driver characteristics
  publication-title: Transportation Research Part B: methodological
– volume: 19
  start-page: 2055
  year: 2017
  end-page: 2065
  ident: b0310
  article-title: METANET validation of the large-scale Manchester ring-road network using gradient-based and particle swarm optimization
  publication-title: IEEE Transactions on Intelligent Transportation Systems
– volume: 66
  start-page: 2413
  year: 2007
  end-page: 2426
  ident: b0070
  article-title: Global well posedness of traffic flow models with phase transitions
  publication-title: Nonlinear Analysis: Theory, Methods & Applications
– reference: Lebacque, J. P. (1993). Les modeles macroscopiques de trafic. In Annales des Ponts et chaussées (No. 67, pp. 24-45).
– reference: Muñoz, L., Sun, X., Sun, D., Gomes, G., & Horowitz, R. (2004, June). Methodological calibration of the cell transmission model. In Proceedings of the 2004 American Control Conference (Vol. 1, pp. 798-803).
– volume: 51
  start-page: 852
  year: 2017
  end-page: 862
  ident: b0455
  article-title: A microscopic investigation into the capacity drop: Impacts of longitudinal behavior on the queue discharge rate
  publication-title: Transportation Science
– volume: 30
  start-page: 1
  year: 1996
  end-page: 9
  ident: b0345
  article-title: An extended macroscopic model for traffic flow
  publication-title: Transportation Research Part B: Methodological
– volume: 22
  start-page: 1497
  year: 2021
  end-page: 1516
  ident: b0430
  article-title: Freeway traffic control in presence of capacity drop
  publication-title: IEEE Transactions on Intelligent Transportation Systems
– volume: 4
  start-page: 65
  year: 1994
  end-page: 85
  ident: b0445
  article-title: A genetic algorithm tutorial
  publication-title: Statistics and computing
– volume: 78
  start-page: 1087
  year: 2013
  end-page: 1108
  ident: b0220
  article-title: Modelling road traffic accidents using macroscopic second-order models of traffic flow
  publication-title: IMA Journal of Applied Mathematics
– volume: 77
  start-page: 88
  year: 2015
  end-page: 102
  ident: b0260
  article-title: Impact of stop-and-go waves and lane changes on discharge rate in recovery flow
  publication-title: Transportation Research Part B: Methodological
– volume: 73
  start-page: 91
  year: 2015
  end-page: 102
  ident: b0325
  article-title: On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models
  publication-title: Transportation Research Part B: Methodological
– volume: 2007
  start-page: 755
  year: 2007
  end-page: 776
  ident: b0165
  article-title: Generic second order traffic flow modelling
  publication-title: Transportation and traffic theory
– volume: 32
  start-page: 323
  year: 1998
  end-page: 329
  ident: b0265
  article-title: Some remarks on macroscopic traffic flow modelling
  publication-title: Transportation Research Part A: Policy and Practice
– volume: 75
  start-page: 813
  year: 2015
  end-page: 835
  ident: b0115
  article-title: A heterogeneous multiclass traffic flow model with creeping
  publication-title: SIAM Journal on Applied Mathematics
– volume: 18
  start-page: 193
  year: 2010
  end-page: 212
  ident: b0020
  article-title: Optimal mainstream traffic flow control of large-scale motorway networks
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 385
  start-page: 667
  year: 2007
  end-page: 682
  ident: b0250
  article-title: Multiclass first-order simulation model to explain non-linear traffic phenomena
  publication-title: Physica A: Statistical Mechanics and its Applications
– volume: 38
  start-page: 134
  year: 2016
  end-page: 150
  ident: b0300
  article-title: Swarm intelligence algorithms for macroscopic traffic flow model validation with automatic assignment of fundamental diagrams
  publication-title: Applied Soft Computing
– volume: 7
  start-page: 308
  year: 1965
  end-page: 313
  ident: b0235
  article-title: A simplex method for function minimization
  publication-title: The computer journal
– start-page: 210
  year: 2009
  end-page: 214
  ident: b0450
  article-title: December). Cuckoo search via Lévy flights
  publication-title: In 2009 World congress on nature & biologically inspired computing (NaBIC)
– start-page: 399
  year: 2010
  end-page: 430
  ident: b0285
  article-title: Traffic simulation with METANET. In Fundamentals of traffic simulation
– start-page: 7
  year: 1987
  end-page: 15
  ident: b0385
  article-title: Simulated annealing
  publication-title: Simulated annealing: Theory and applications
– volume: 41
  start-page: 18
  year: 2014
  end-page: 29
  ident: b0355
  article-title: Macroscopic traffic flow model validation at congested freeway off-ramp areas
  publication-title: Transportation Research Part C: Emerging Technologies
– volume: 63
  start-page: 708
  year: 2003
  end-page: 721
  ident: b0065
  article-title: Hyperbolic phase transitions in traffic flow
  publication-title: SIAM Journal on Applied Mathematics
– year: 2007
  ident: b0145
  article-title: Evaluation of CORSIM and AIMSUN for Freeway Merging Segments Under Breakdown Conditions
  publication-title: In: Transportation Research Board 86th Annual Meeting
– volume: 1965
  start-page: 183
  year: 2006
  end-page: 191
  ident: b0230
  article-title: Piecewise-linearized cell transmission model and parameter calibration methodology
  publication-title: Transportation Research Record
– reference: Spiliopoulou A., Papamichail I., Papageorgiou M. and Chrysoulakis, J., “CALISTO user’s manual”, Deliverable 4.1, Technical Report for the Project SMOOTH, ARCHIMEDES III, Athens, July 2014.
– volume: 3
  start-page: 282
  year: 2002
  end-page: 292
  ident: b0155
  article-title: Traffic flow modeling of large-scale motorway networks using the macroscopic modeling tool METANET
  publication-title: IEEE Transactions on intelligent transportation systems
– volume: 19
  start-page: 31
  year: 2010
  end-page: 45
  ident: b0200
  article-title: Linear parameter varying identification of freeway traffic models
  publication-title: IEEE Transactions on Control Systems Technology
– volume: 1876
  start-page: 52
  year: 2004
  end-page: 61
  ident: b0245
  article-title: Comparison of numerical schemes for macroscopic traffic flow models
  publication-title: Transportation Research Record
– volume: 8
  start-page: 42
  year: 1965
  end-page: 52
  ident: b0015
  article-title: A new method of constrained optimization and a comparison with other methods
  publication-title: The Computer Journal
– volume: 147
  start-page: 132
  year: 2021
  end-page: 167
  ident: b0215
  article-title: Performance of continuum models for realworld traffic flows: Comprehensive benchmarking
  publication-title: Transportation Research Part B: Methodological
– year: 2013
  ident: b0375
  article-title: Traffic flow dynamics
– year: 1974
  ident: b0440
  article-title: Linear and nonlinear waves
– start-page: 1
  year: 2021
  end-page: 23
  ident: b9000
  article-title: Generic approaches to estimating freeway traffic state and percentage of connected vehicles with fixed and mobile sensing
  publication-title: IEEE Trans. Intell. Transport. Syst.
– volume: 17
  start-page: 837
  year: 1981
  end-page: 843
  ident: b0075
  article-title: Parameter identification for a traffic flow model
  publication-title: Automatica
– volume: 11
  start-page: 341
  year: 1997
  end-page: 359
  ident: b0365
  article-title: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces
  publication-title: Journal of global optimization
– reference: Lebacque, J. P. (1996). The Godunov scheme and what it means for first order traffic flow models. In Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July (Vol. 2426, pp. 647-677).
– volume: 39
  start-page: 141
  year: 2005
  end-page: 167
  ident: b0410
  article-title: Real-time freeway traffic state estimation based on extended Kalman filter: a general approach
  publication-title: Transportation Research Part B: Methodological
– volume: 106
  start-page: 52
  year: 2017
  end-page: 75
  ident: b0150
  article-title: First-order traffic flow models incorporating capacity drop: Overview and real-data validation
  publication-title: Transportation Research Part B: Methodological
– volume: 3
  start-page: 271
  year: 2002
  end-page: 281
  ident: b0280
  article-title: Freeway ramp metering: An overview
  publication-title: IEEE Transactions on Intelligent Transportation Systems
– volume: 15
  start-page: 2024
  year: 2014
  end-page: 2039
  ident: b9005
  article-title: Local ramp metering in the presence of a distant downstream bottleneck: theoretical analysis and simulation study
  publication-title: IEEE Trans. Intell. Transport. Syst.
– volume: 23
  start-page: 29
  year: 1989
  end-page: 47
  ident: b0270
  article-title: Macroscopic modelling of traffic flow on the Boulevard Périphérique in Paris
  publication-title: Transportation Research Part B: Methodological
– volume: 42
  start-page: 523
  year: 2008
  end-page: 541
  ident: b0190
  article-title: Multi-class kinematic wave theory of traffic flow
  publication-title: Transportation Research Part B: Methodological
– reference: Hoogendoorn, S. P., & Bovy, P. H. (2001). State-of-the-art of vehicular traffic flow modelling. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 215(4), 283-303.
– volume: Vol. 4
  start-page: 1942
  year: 1995
  end-page: 1948
  ident: b0140
  publication-title: November). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks
– volume: 18
  start-page: 471
  year: 2010
  end-page: 488
  ident: b0195
  article-title: Parameter-dependent modeling of freeway traffic flow
  publication-title: Transportation Research Part C: Emerging Technologies
– year: 2004
  ident: b0340
  article-title: The cross-entropy method: a unified approach to combinatorial optimization, Monte-Carlo simulation, and machine learning
– reference: Fan, S., Sun, Y., Piccoli, B., Seibold, B., & Work, D. B. (2017). A collapsed generalized Aw-Rascle-Zhang model and its model accuracy. arXiv preprint arXiv:1702.03624.
– start-page: 586
  year: 1993
  end-page: 591
  ident: b0335
  publication-title: March). A direct adaptive method for faster backpropagation learning: The RPROP algorithm
– start-page: 163
  year: 1998
  end-page: 173
  ident: b0185
  article-title: System identification
  publication-title: Signal analysis and prediction
– volume: 36
  start-page: 263
  year: 2003
  end-page: 268
  ident: b0240
  article-title: An automated calibration procedure for macroscopic traffic flow models
  publication-title: IFAC Proceedings Volumes
– volume: 50
  start-page: 363
  year: 2016
  end-page: 385
  ident: b0465
  article-title: Automatic calibration of fundamental diagram for first-order macroscopic freeway traffic models
  publication-title: Journal of Advanced Transportation
– volume: 46
  start-page: 1440
  year: 2012
  end-page: 1453
  ident: b0035
  article-title: Microscopic traffic hysteresis in traffic oscillations: A behavioral perspective
  publication-title: Transportation Research Part B: Methodological
– volume: 59
  start-page: 239
  year: 1999
  end-page: 253
  ident: b0380
  article-title: Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic model
  publication-title: Phys. Rev. E
– volume: 153
  start-page: 246
  year: 2021
  end-page: 271
  ident: b0050
  article-title: An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship
  publication-title: Transportation Research Part B: Methodological
– volume: 32
  year: 2021
  ident: b0210
  article-title: Integrating safety into the fundamental relations of freeway traffic flows: A conflict-based safety assessment framework
  publication-title: Analytic Methods in Accident Research
– start-page: 39
  year: 1995
  end-page: 43
  ident: b0100
  article-title: October). A new optimizer using particle swarm theory
  publication-title: In MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science
– volume: 128
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b0320
  article-title: About calibration of car-following dynamics of automated and human-driven vehicles: Methodology, guidelines and codes
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2021.103165
– volume: 11
  start-page: 341
  issue: 4
  year: 1997
  ident: 10.1016/j.trc.2022.103904_b0365
  article-title: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces
  publication-title: Journal of global optimization
  doi: 10.1023/A:1008202821328
– year: 2019
  ident: 10.1016/j.trc.2022.103904_b0395
– ident: 10.1016/j.trc.2022.103904_b0175
– volume: 28
  start-page: 269
  issue: 4
  year: 1994
  ident: 10.1016/j.trc.2022.103904_b0080
  article-title: The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/0191-2615(94)90002-7
– volume: 29
  start-page: 277
  issue: 4
  year: 1995
  ident: 10.1016/j.trc.2022.103904_b0085
  article-title: Requiem for second-order fluid approximations of traffic flow
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/0191-2615(95)00007-Z
– volume: 2088
  start-page: 177
  issue: 1
  year: 2008
  ident: 10.1016/j.trc.2022.103904_b0390
  article-title: Fastlane: New multiclass first-order traffic flow model
  publication-title: Transportation Research Record
  doi: 10.3141/2088-19
– ident: 10.1016/j.trc.2022.103904_b0095
– volume: 62
  start-page: 149
  year: 2016
  ident: 10.1016/j.trc.2022.103904_b9010
  article-title: Local ramp metering with distant downstream bottlenecks: A comparative study
  publication-title: Transport. Res. Part C
  doi: 10.1016/j.trc.2015.08.016
– volume: 36
  start-page: 263
  issue: 14
  year: 2003
  ident: 10.1016/j.trc.2022.103904_b0240
  article-title: An automated calibration procedure for macroscopic traffic flow models
  publication-title: IFAC Proceedings Volumes
  doi: 10.1016/S1474-6670(17)32430-8
– volume: 39
  start-page: 141
  issue: 2
  year: 2005
  ident: 10.1016/j.trc.2022.103904_b0410
  article-title: Real-time freeway traffic state estimation based on extended Kalman filter: a general approach
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2004.03.003
– volume: 17
  start-page: 328
  year: 2009
  ident: 10.1016/j.trc.2022.103904_b0055
  article-title: Do microscopic merging models reproduce the observed priority sharing ratio in congestion?
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2009.01.002
– volume: 23
  start-page: 29
  issue: 1
  year: 1989
  ident: 10.1016/j.trc.2022.103904_b0270
  article-title: Macroscopic modelling of traffic flow on the Boulevard Périphérique in Paris
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/0191-2615(89)90021-0
– volume: 134
  start-page: 19
  issue: 1
  year: 2005
  ident: 10.1016/j.trc.2022.103904_b0090
  article-title: A tutorial on the cross-entropy method
  publication-title: Annals of operations research
  doi: 10.1007/s10479-005-5724-z
– ident: 10.1016/j.trc.2022.103904_b0180
  doi: 10.1098/rspa.1955.0089
– volume: 59
  start-page: 117
  year: 2014
  ident: 10.1016/j.trc.2022.103904_b0040
  article-title: On the periodicity of traffic oscillations and capacity drop: the role of driver characteristics
  publication-title: Transportation Research Part B: methodological
  doi: 10.1016/j.trb.2013.11.005
– volume: 41
  start-page: 82
  year: 2007
  ident: 10.1016/j.trc.2022.103904_b0060
  article-title: Relation between traffic density and capacity drop at three freeway bottlenecks
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2006.02.011
– ident: 10.1016/j.trc.2022.103904_b0010
  doi: 10.1155/2017/4879170
– volume: 47
  start-page: 271
  year: 1959
  ident: 10.1016/j.trc.2022.103904_b0125
  article-title: A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations
  publication-title: Math. Sbornik
– volume: 3
  start-page: 271
  issue: 4
  year: 2002
  ident: 10.1016/j.trc.2022.103904_b0280
  article-title: Freeway ramp metering: An overview
  publication-title: IEEE Transactions on Intelligent Transportation Systems
  doi: 10.1109/TITS.2002.806803
– volume: 17
  start-page: 145
  issue: 1
  year: 2017
  ident: 10.1016/j.trc.2022.103904_b0360
  article-title: Macroscopic traffic flow model calibration using different optimization algorithms
  publication-title: Operational Research
  doi: 10.1007/s12351-015-0219-4
– volume: 8
  start-page: 42
  issue: 1
  year: 1965
  ident: 10.1016/j.trc.2022.103904_b0015
  article-title: A new method of constrained optimization and a comparison with other methods
  publication-title: The Computer Journal
  doi: 10.1093/comjnl/8.1.42
– year: 2013
  ident: 10.1016/j.trc.2022.103904_b0375
– volume: 24
  start-page: 102
  year: 2012
  ident: 10.1016/j.trc.2022.103904_b0255
  article-title: Calibration of second order traffic models using continuous cross entropy method
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2012.02.007
– volume: 19
  start-page: 31
  issue: 1
  year: 2010
  ident: 10.1016/j.trc.2022.103904_b0200
  article-title: Linear parameter varying identification of freeway traffic models
  publication-title: IEEE Transactions on Control Systems Technology
  doi: 10.1109/TCST.2010.2063705
– volume: 46
  start-page: 1440
  issue: 10
  year: 2012
  ident: 10.1016/j.trc.2022.103904_b0035
  article-title: Microscopic traffic hysteresis in traffic oscillations: A behavioral perspective
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2012.07.002
– volume: 4
  start-page: 42
  year: 1956
  ident: 10.1016/j.trc.2022.103904_b0330
  article-title: Shock waves on the highway
  publication-title: Operations research
  doi: 10.1287/opre.4.1.42
– start-page: 39
  year: 1995
  ident: 10.1016/j.trc.2022.103904_b0100
  article-title: October). A new optimizer using particle swarm theory
– volume: Vol. 4
  start-page: 1942
  year: 1995
  ident: 10.1016/j.trc.2022.103904_b0140
  publication-title: November). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks
  doi: 10.1109/ICNN.1995.488968
– year: 2004
  ident: 10.1016/j.trc.2022.103904_b0340
– volume: 77
  start-page: 88
  year: 2015
  ident: 10.1016/j.trc.2022.103904_b0260
  article-title: Impact of stop-and-go waves and lane changes on discharge rate in recovery flow
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2015.03.017
– volume: 1
  start-page: 89
  issue: 5
  year: 1999
  ident: 10.1016/j.trc.2022.103904_b0130
  article-title: Numerical simulation of macroscopic traffic equations
  publication-title: Computing in Science & Engineering
  doi: 10.1109/5992.790593
– volume: 1876
  start-page: 52
  issue: 1
  year: 2004
  ident: 10.1016/j.trc.2022.103904_b0245
  article-title: Comparison of numerical schemes for macroscopic traffic flow models
  publication-title: Transportation Research Record
  doi: 10.3141/1876-06
– volume: 2007
  start-page: 755
  year: 2007
  ident: 10.1016/j.trc.2022.103904_b0165
  article-title: Generic second order traffic flow modelling
  publication-title: Transportation and traffic theory
– volume: 18
  start-page: 471
  issue: 4
  year: 2010
  ident: 10.1016/j.trc.2022.103904_b0195
  article-title: Parameter-dependent modeling of freeway traffic flow
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2009.09.005
– start-page: 586
  year: 1993
  ident: 10.1016/j.trc.2022.103904_b0335
– volume: 7
  start-page: 308
  issue: 4
  year: 1965
  ident: 10.1016/j.trc.2022.103904_b0235
  article-title: A simplex method for function minimization
  publication-title: The computer journal
  doi: 10.1093/comjnl/7.4.308
– volume: 14
  start-page: 190
  issue: 3
  year: 2006
  ident: 10.1016/j.trc.2022.103904_b0415
  article-title: RENAISSANCE–A unified macroscopic model-based approach to real-time freeway network traffic surveillance
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2006.06.001
– volume: 50
  start-page: 363
  issue: 3
  year: 2016
  ident: 10.1016/j.trc.2022.103904_b0465
  article-title: Automatic calibration of fundamental diagram for first-order macroscopic freeway traffic models
  publication-title: Journal of Advanced Transportation
  doi: 10.1002/atr.1334
– start-page: 1
  year: 2018
  ident: 10.1016/j.trc.2022.103904_b0425
  article-title: A Modified Cell Transmission Model Incorporating Capacity Drop at Merge Bottleneck Considering On-Ramp Flow
– volume: 106
  start-page: 52
  year: 2017
  ident: 10.1016/j.trc.2022.103904_b0150
  article-title: First-order traffic flow models incorporating capacity drop: Overview and real-data validation
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2017.10.014
– volume: 134
  year: 2022
  ident: 10.1016/j.trc.2022.103904_b0435
  article-title: Real-time joint traffic state and model parameter estimation on freeways with fixed sensors and connected vehicles: State-of-the-art overview, methods, and case studies
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2021.103444
– volume: 9
  start-page: 239
  issue: 2
  year: 2014
  ident: 10.1016/j.trc.2022.103904_b0110
  article-title: Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
  publication-title: Networks & Heterogeneous Media
  doi: 10.3934/nhm.2014.9.239
– ident: 10.1016/j.trc.2022.103904_b0135
  doi: 10.1177/095965180121500402
– volume: 18
  start-page: 193
  year: 2010
  ident: 10.1016/j.trc.2022.103904_b0020
  article-title: Optimal mainstream traffic flow control of large-scale motorway networks
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2009.05.014
– volume: 66
  start-page: 2413
  issue: 11
  year: 2007
  ident: 10.1016/j.trc.2022.103904_b0070
  article-title: Global well posedness of traffic flow models with phase transitions
  publication-title: Nonlinear Analysis: Theory, Methods & Applications
  doi: 10.1016/j.na.2006.03.029
– volume: 34
  start-page: 925
  issue: 4
  year: 2003
  ident: 10.1016/j.trc.2022.103904_b0045
  article-title: Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids
  publication-title: SIAM journal on mathematical analysis
  doi: 10.1137/S0036141001399350
– volume: 75
  start-page: 813
  issue: 2
  year: 2015
  ident: 10.1016/j.trc.2022.103904_b0115
  article-title: A heterogeneous multiclass traffic flow model with creeping
  publication-title: SIAM Journal on Applied Mathematics
  doi: 10.1137/140977977
– volume: 45
  start-page: 554
  issue: 6
  year: 2011
  ident: 10.1016/j.trc.2022.103904_b0405
  article-title: Logistic modeling of the equilibrium speed–density relationship
  publication-title: Transportation research part A: policy and practice
– volume: 125
  start-page: 1
  year: 2018
  ident: 10.1016/j.trc.2022.103904_b0370
  article-title: Using synchronous and asynchronous parallel Differential Evolution for calibrating a second-order traffic flow model
  publication-title: Advances in Engineering Software
  doi: 10.1016/j.advengsoft.2018.08.011
– volume: 44
  start-page: 238
  year: 2010
  ident: 10.1016/j.trc.2022.103904_b0025
  article-title: Optimal Motorway Traffic Flow Control Involving Variable Speed Limits and Ramp Metering
  publication-title: Transportation Science
  doi: 10.1287/trsc.1090.0314
– volume: 1965
  start-page: 183
  issue: 1
  year: 2006
  ident: 10.1016/j.trc.2022.103904_b0230
  article-title: Piecewise-linearized cell transmission model and parameter calibration methodology
  publication-title: Transportation Research Record
  doi: 10.1177/0361198106196500119
– volume: 60
  start-page: 916
  year: 2000
  ident: 10.1016/j.trc.2022.103904_b0005
  article-title: Resurrection of “second order” models of traffic flow
  publication-title: SIAM J. Appl. Math.
  doi: 10.1137/S0036139997332099
– year: 1974
  ident: 10.1016/j.trc.2022.103904_b0440
– volume: 78
  start-page: 1087
  issue: 5
  year: 2013
  ident: 10.1016/j.trc.2022.103904_b0220
  article-title: Modelling road traffic accidents using macroscopic second-order models of traffic flow
  publication-title: IMA Journal of Applied Mathematics
  doi: 10.1093/imamat/hxs012
– volume: 19
  start-page: 2055
  issue: 7
  year: 2017
  ident: 10.1016/j.trc.2022.103904_b0310
  article-title: METANET validation of the large-scale Manchester ring-road network using gradient-based and particle swarm optimization
  publication-title: IEEE Transactions on Intelligent Transportation Systems
  doi: 10.1109/TITS.2017.2724941
– start-page: 7
  year: 1987
  ident: 10.1016/j.trc.2022.103904_b0385
  article-title: Simulated annealing
– volume: 3
  start-page: 282
  issue: 4
  year: 2002
  ident: 10.1016/j.trc.2022.103904_b0155
  article-title: Traffic flow modeling of large-scale motorway networks using the macroscopic modeling tool METANET
  publication-title: IEEE Transactions on intelligent transportation systems
  doi: 10.1109/TITS.2002.806804
– volume: 59
  start-page: 239
  year: 1999
  ident: 10.1016/j.trc.2022.103904_b0380
  article-title: Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic model
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.59.239
– volume: 73
  start-page: 91
  year: 2015
  ident: 10.1016/j.trc.2022.103904_b0325
  article-title: On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2015.01.001
– start-page: 6983
  year: 2012
  ident: 10.1016/j.trc.2022.103904_b0120
  article-title: December). A parameter identification algorithm for the METANET model with a limited number of loop detectors
– volume: 4
  start-page: 65
  issue: 2
  year: 1994
  ident: 10.1016/j.trc.2022.103904_b0445
  article-title: A genetic algorithm tutorial
  publication-title: Statistics and computing
  doi: 10.1007/BF00175354
– ident: 10.1016/j.trc.2022.103904_b0205
– year: 2007
  ident: 10.1016/j.trc.2022.103904_b0145
  article-title: Evaluation of CORSIM and AIMSUN for Freeway Merging Segments Under Breakdown Conditions
– volume: 15
  start-page: 2024
  issue: 5
  year: 2014
  ident: 10.1016/j.trc.2022.103904_b9005
  article-title: Local ramp metering in the presence of a distant downstream bottleneck: theoretical analysis and simulation study
  publication-title: IEEE Trans. Intell. Transport. Syst.
  doi: 10.1109/TITS.2014.2307884
– start-page: 163
  year: 1998
  ident: 10.1016/j.trc.2022.103904_b0185
  article-title: System identification
– volume: 91
  start-page: 2043
  issue: 12
  year: 2003
  ident: 10.1016/j.trc.2022.103904_b0275
  article-title: Review of road traffic control strategies
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2003.819610
– volume: 55
  start-page: 85
  year: 2015
  ident: 10.1016/j.trc.2022.103904_b0290
  article-title: Two-class freeway traffic regulation to reduce congestion and emissions via nonlinear optimal control
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2015.01.013
– volume: 108
  start-page: 1
  year: 2018
  ident: 10.1016/j.trc.2022.103904_b0030
  article-title: Capacity-drop at extended bottlenecks: Merge, diverge, and weave
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2017.12.006
– volume: 32
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b0210
  article-title: Integrating safety into the fundamental relations of freeway traffic flows: A conflict-based safety assessment framework
  publication-title: Analytic Methods in Accident Research
  doi: 10.1016/j.amar.2021.100187
– volume: 63
  start-page: 708
  issue: 2
  year: 2003
  ident: 10.1016/j.trc.2022.103904_b0065
  article-title: Hyperbolic phase transitions in traffic flow
  publication-title: SIAM Journal on Applied Mathematics
  doi: 10.1137/S0036139901393184
– ident: 10.1016/j.trc.2022.103904_b0105
– start-page: 399
  year: 2010
  ident: 10.1016/j.trc.2022.103904_b0285
– volume: 1
  start-page: 51
  year: 1971
  ident: 10.1016/j.trc.2022.103904_b0295
  article-title: Models of freeway traffic and control
  publication-title: Simulation Council Proceedings Series
– volume: 38
  start-page: 134
  year: 2016
  ident: 10.1016/j.trc.2022.103904_b0300
  article-title: Swarm intelligence algorithms for macroscopic traffic flow model validation with automatic assignment of fundamental diagrams
  publication-title: Applied Soft Computing
  doi: 10.1016/j.asoc.2015.09.011
– ident: 10.1016/j.trc.2022.103904_b0315
– volume: 22
  start-page: 1497
  issue: 3
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b0430
  article-title: Freeway traffic control in presence of capacity drop
  publication-title: IEEE Transactions on Intelligent Transportation Systems
  doi: 10.1109/TITS.2020.2971663
– volume: 17
  start-page: 837
  issue: 6
  year: 1981
  ident: 10.1016/j.trc.2022.103904_b0075
  article-title: Parameter identification for a traffic flow model
  publication-title: Automatica
  doi: 10.1016/0005-1098(81)90071-6
– volume: 51
  start-page: 852
  issue: 3
  year: 2017
  ident: 10.1016/j.trc.2022.103904_b0455
  article-title: A microscopic investigation into the capacity drop: Impacts of longitudinal behavior on the queue discharge rate
  publication-title: Transportation Science
  doi: 10.1287/trsc.2017.0745
– volume: 42
  start-page: 523
  issue: 6
  year: 2008
  ident: 10.1016/j.trc.2022.103904_b0190
  article-title: Multi-class kinematic wave theory of traffic flow
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2007.11.001
– volume: 36
  start-page: 275
  year: 2002
  ident: 10.1016/j.trc.2022.103904_b0460
  article-title: A non-equilibrium traffic model devoid of gas-like behavior
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(00)00050-3
– volume: 42
  start-page: 1340
  issue: 10
  year: 2008
  ident: 10.1016/j.trc.2022.103904_b0420
  article-title: Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing
  publication-title: Transportation Research Part A: Policy and Practice
– volume: 147
  start-page: 132
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b0215
  article-title: Performance of continuum models for realworld traffic flows: Comprehensive benchmarking
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2021.03.007
– ident: 10.1016/j.trc.2022.103904_b0170
– start-page: 1
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b9000
  article-title: Generic approaches to estimating freeway traffic state and percentage of connected vehicles with fixed and mobile sensing
  publication-title: IEEE Trans. Intell. Transport. Syst.
– volume: 71
  start-page: 356
  year: 2016
  ident: 10.1016/j.trc.2022.103904_b0305
  article-title: Second order macroscopic traffic flow model validation using automatic differentiation with resilient backpropagation and particle swarm optimisation algorithms
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2016.07.008
– volume: 4
  start-page: 445
  issue: 4
  year: 2015
  ident: 10.1016/j.trc.2022.103904_b0400
  article-title: Genealogy of traffic flow models
  publication-title: EURO Journal on Transportation and Logistics
  doi: 10.1007/s13676-014-0045-5
– ident: 10.1016/j.trc.2022.103904_b0350
– volume: 32
  start-page: 323
  issue: 5
  year: 1998
  ident: 10.1016/j.trc.2022.103904_b0265
  article-title: Some remarks on macroscopic traffic flow modelling
  publication-title: Transportation Research Part A: Policy and Practice
– volume: 153
  start-page: 246
  year: 2021
  ident: 10.1016/j.trc.2022.103904_b0050
  article-title: An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/j.trb.2021.09.004
– volume: 30
  start-page: 1
  issue: 1
  year: 1996
  ident: 10.1016/j.trc.2022.103904_b0345
  article-title: An extended macroscopic model for traffic flow
  publication-title: Transportation Research Part B: Methodological
  doi: 10.1016/0191-2615(95)00017-8
– start-page: 210
  year: 2009
  ident: 10.1016/j.trc.2022.103904_b0450
  article-title: December). Cuckoo search via Lévy flights
– volume: 385
  start-page: 667
  issue: 2
  year: 2007
  ident: 10.1016/j.trc.2022.103904_b0250
  article-title: Multiclass first-order simulation model to explain non-linear traffic phenomena
  publication-title: Physica A: Statistical Mechanics and its Applications
  doi: 10.1016/j.physa.2007.07.041
– volume: 41
  start-page: 18
  year: 2014
  ident: 10.1016/j.trc.2022.103904_b0355
  article-title: Macroscopic traffic flow model validation at congested freeway off-ramp areas
  publication-title: Transportation Research Part C: Emerging Technologies
  doi: 10.1016/j.trc.2014.01.009
– volume: 9
  start-page: 112
  issue: 1
  year: 1998
  ident: 10.1016/j.trc.2022.103904_b0160
  article-title: Convergence properties of the Nelder-Mead simplex method in low dimensions
  publication-title: SIAM Journal on optimization
  doi: 10.1137/S1052623496303470
– ident: 10.1016/j.trc.2022.103904_b0225
  doi: 10.23919/ACC.2004.1383703
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Snippet •This work focuses on macroscopic traffic flow model calibration and validation of large freeway networks.•An intensive literature review is presented on the...
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SubjectTerms Accidents
Capacity drop
Congestion tracking
Freeway traffic flow model calibration and validation
Traffic flow inhomogeneity
Weather conditions
Title Macroscopic traffic flow modelling of large-scale freeway networks with field data verification: State-of-the-art review, benchmarking framework, and case studies using METANET
URI https://dx.doi.org/10.1016/j.trc.2022.103904
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