On the modelling of speed–concentration curves for multi-class traffic lacking lane discipline using area occupancy

References

• Arasan, V. T., and G. Dhivya (2008). “Measuring Heterogeneous Traffic Density.” In International Conference on Sustainable Urban Transport and Environment pp.(342–346). World Academy of ScienceEngineering, and Technology.
   Google Scholar
• Asaithampi, G., V. Kangaraj, and K. K. Srinivasan. 2018. “Study of Traffic Flow Characteristics Using Different Vehicle-following Models under Mixed Traffic Conditions.” Transportation Letters 10: 92–103. doi:https://doi.org/10.1080/19427867.2016.1190887.
   Google Scholar
• Balakrishnan, S., and R. Sivanandan. 2017. “Developing Free-flow Speed Models for Urban Roads under Heterogeneous Traffic Conditions.” International Journal of Traffic and Transport Engineering 7: 443–460.
   Google Scholar
• Chandra, S., and P. K. Sikdar. 2000. “Factors Affecting PCU in Mixed Traffic Situations on Urban Roads.” Road and Transport Research 9: 40–50.
   Google Scholar
• Del Castillo, J. M., and F. G. Benitez. 1995. “On the Functional Form of the Speed-density relationship–I: General Theory.” Transportation Research: Part B 29: 373–389. doi:https://doi.org/10.1016/0191-2615(95)00008-2.
   Google Scholar
• Del Castillo, J. M., P. Pintado, and F. G. Benitez. 1993. “A Formulation for the Reaction Time of Traffic Flow Models.” C. Daganzo edited by. Transportation and Traffic Theory. 12th Int. Symp. on Transpn. and Traffic Theory Elsevier-Amsterdam. 387–405.
   Google Scholar
• Dhamaniya, A., and S. Chandra. 2013. “Concept of Stream Equivalency Factor for Heterogeneous Traffic on Urban Arterial Roads.” Journal of Transportation Engineering 139: 1117–1123. doi:https://doi.org/10.1061/(ASCE)TE.1943-5436.0000581.
   Google Scholar
• Dhamaniya, A., and S. Chandra. 2016. “Conceptual Approach for Estimating Dynamic PCU on Urban Arterial Roads Using Simultaneous Equations.” Transportation Research Record: Journal of the Transportation Research Board 2553. doi:https://doi.org/10.3141/2553-12.
   Google Scholar
• Drake, J. S., J. L. Schofer, and A. D. May. 1967. “A Statistical Analysis of Speed-Density Hypotheses.” Highway Research Record 156: 53–87.
   Google Scholar
• Edie, L. C. 1961. “Car-following and Steady-state Theory for Noncongested Traffic.” Operations Research 9: 66–76. doi:https://doi.org/10.1287/opre.9.1.66.
   Web of Science ®Google Scholar
• Gaddam, H. K., and K. R. J. Rao. 2019. “Speed-density Functional Relationship for Heterogeneous Traffic Data: A Statistical and Theoretical Investigation.” Journal of Modern Transport 27: 61–74. doi:https://doi.org/10.1007/s40534-018-0177-7.
   Web of Science ®Google Scholar
• Gashaw, S., P. Gaotin, and J. Harri. 2018. “Modeling and Analysis of Mixed Flow of Cars and Powered Two Wheelers.” Transportation Research: Part C 89: 148–167.
   Web of Science ®Google Scholar
• Greenberg, H. 1959. “An Analysis of Traffic Flow.” Operations Research 7: 79–85. doi:https://doi.org/10.1287/opre.7.1.79.
   Web of Science ®Google Scholar
• Greenshields, B. D. 1935. “A Study of Traffic Capacity.” Highway Research Board 14: 448–477.
   Google Scholar
• Indian Road Congress (1990). “Guidelines of Capacity of Urban Roads in Plain Areas”, Indian Road Congress, New Delhi.
   Google Scholar
• Kuhne, R., and P. Michalopoulos. (2001). Revised Monograph of Traffic Flow Theory. Chapter 5: Continuum Flow Models. FHWA.
   Google Scholar
• Kumar, P., S. Arkatkar, and G. Joshi. 2018. “New Approach for Estimating PCU on Multilane Urban Roads with Heterogeneous Traffic Conditions.” Journal of Transportation Engineering, Part A: Systems 144.
   Web of Science ®Google Scholar
• Lee, H. Y., H. W. Lee, and D. Kim. 1998. “Origin of Synchronized Traffic Flow on Highways and Its Dynamic Phase Transitions.” Physical Review Letters 81: 1130–1133. doi:https://doi.org/10.1103/PhysRevLett.81.1130.
   Google Scholar
• MacNicholas, M. J. (2008). “A Simple and Pragmatic Representation of Traffic Flow.” In Symposium on the Fundamental Diagram:75 Years, Transportation Research Board. Woods Hole, MA.
   Google Scholar
• Mallikarjuna, C., and B. K. Bhavathrathan. 2014. “Analysis of the Effect of Two-wheeler Lane-sharing Behaviour on Macroscopic Traffic Flow Modeling.” Transport 29: 146–153. doi:https://doi.org/10.3846/16484142.2014.928788.
   Web of Science ®Google Scholar
• Mallikarjuna, C., and K. Ramachandra Rao. 2006. “Area Occupancy Characteristics of Heterogeneous Traffic.” Transportmetrica 2: 223–236. doi:https://doi.org/10.1080/18128600608685661.
   Web of Science ®Google Scholar
• May, A. D. (1990). “Traffic Flow Fundamentals.” Prentice Hall.
   Google Scholar
• Metkari, M., A. Budhkar, and A. K. Maurya. 2013. “Development of Simulation Model for Heterogeneous Traffic with No Lane Discipline.” Procedia- Social and Behavioral Sciences 104: 360–369. doi:https://doi.org/10.1016/j.sbspro.2013.11.129.
   Google Scholar
• Mohan, R., and G. Ramadurai. 2017. “Heterogeneous Traffic Flow Modelling Using Second-order Macroscopic Continuum Model.” Physics Letters. A 381 (3): 115–123. doi:https://doi.org/10.1016/j.physleta.2016.10.042.
   Web of Science ®Google Scholar
• Mohan, R., and G. Ramadurai. 2019a. “Numerical Study with Field Data for Macroscopic Continuum Modelling of Indian Traffic.” Transportation in Developing Economies 5. doi:https://doi.org/10.1007/s40890-019-0081-9.
   Google Scholar
• Mohan, R., and G. Ramadurai. (2019b). “A Three-dimensional Flow-concentration Curve Based Heterogeneous Traffic Flow Model.” In 98th Annual Meeting of Transportation Research Board. Washington, D. C.
   Google Scholar
• Nair, R., H. S. Mahmassani, and E. M. Hooks. 2011. “A Porous Flow Approach to Modelling Heterogeneous Traffic in Disordered System.” Transportation Research: Part B 45: 1331–1345. doi:https://doi.org/10.1016/j.trb.2011.05.009.
   Google Scholar
• Newell, F. G. 1961. “Nonlinear Effect in the Dynamics of Car Following.” Operations Research 9: 209–229. doi:https://doi.org/10.1287/opre.9.2.209.
   Web of Science ®Google Scholar
• Papageorgiou, M., B. Jean-Marc, and H. Hadj-Salem. 1989. “Macroscopic Modelling of Traffic Flow on the Boulevard Peripherique in Paris.” Transportation Research Part B: Methodological 23: 29–47. doi:https://doi.org/10.1016/0191-2615(89)90021-0.
   Web of Science ®Google Scholar
• Preethi, P., and R. Ashalatha (2016). “Estimation of Dynamic PCU Using the Area Occupancy Concept at Signalized Intersections.” In Proceedings of the International conference on Transportation and Development pp.(825–837).
   Google Scholar
• PTV (2018). “PTV VISSIM 10 User Manual”. PTV AG, Karlsruhe, Germany.
   Google Scholar
• Qian, Z. S., J. Li, X. Li, M. Zhang, and H. Wang. 2017. “Modelling Heterogeneous Traffic Flow: A Pragmatic Approach.” Transportation Research: Part B 99: 183–204. doi:https://doi.org/10.1016/j.trb.2017.01.011.
   Google Scholar
• Soni, R., V. Vasudevan, and B. Dutta. 2020. “Analysis of Overtaking Patterns of Indian Drivers with Data Collected Using a LiDAR.” Transportation Research. Part F, Traffic Psychology and Behaviour 74: 139–150. doi:https://doi.org/10.1016/j.trf.2020.08.016.
   Web of Science ®Google Scholar
• Sun, L., and J. Zhou. 2005. “Development of Multi-regime Speed-density Relationships by Cluster Analysis.” Transportation Research Record 1934: 64–71. doi:https://doi.org/10.1177/0361198105193400107.
   Google Scholar
• Thankappan, A., and L. Vanajakshi. 2015. “Development and Application of a Traffic Stream Model under Heterogeneous Traffic Conditions.” Journal of the Institution of Engineers (India): Series A 96: 267–275. doi:https://doi.org/10.1007/s40030-015-0134-y.
   Google Scholar
• Underwood, R. T. 1961. “Speed, Volume, and Density Relationship, Quality and Theory of Traffic Flow.” In Yale Breau of Highway Traffic, New Haven, Conn., 141–188.
   Google Scholar
• Van Aerde, M. (1995). “A Single Regime Speed-flow-density Relationship for Freeways and Arterials.” In 74th Transportation Research Board Annual Meeting. Washington, D. C.
   Google Scholar
• Wang, H., J. Li, Q. Y. Chen, and D. Ni. (2010). “Representing the Fundamental Diagram: The Pursuit of Mathematical Elegance and Empirical Accuracy.” In 89th Annual Meeting of Transportation Research Board. Washington, D. C.
   Google Scholar