A simplified car-following theory: a lower order model

Cassidy, 1998, Bivariate relations in nearly stationary highway traffic, Transp. Res. B, 32, 49, 10.1016/S0191-2615(97)00012-X

Chandler, 1958, Traffic dynamics: studies in car following, Oper. Res., 6, 165, 10.1287/opre.6.2.165

Del Castillo, J.M., 1996. A car-following model based on the Lighthill–Whitham theory. In: Lesort J.B. (Ed.), Transportation and Traffic Theory. 13 ISTTT, Pergamon, New York

Del Castillo, 1995, On the functional form of the speed–density relationships I: General Theory II: Emperical investigation, Transp. Res., 29B, 373, 10.1016/0191-2615(95)00008-2

Foster, J., 1962. An investigation of the hydrodynamic model for traffic flow with particular reference to the effect of various speed–density relationships. Proceedings of the First Conference of the Australian Road Research Board, vol. 1, pp. 229–257

Gazis, 1961, Nonlinear follow-the-leader models of traffic flow, Oper. Res., 9, 545, 10.1287/opre.9.4.545

Helly, 1961, Simulation of bottlenecks in single-lane traffic flow, 207

Herman, 1992, Technology, human interaction, and complexity: reflections on vehicular traffic science, Oper. Res., 40, 199, 10.1287/opre.40.2.199

Herman, 1965, Propagation of disturbances in vehicular platoons

Herrey, 1945, Principles of physics applied to traffic movements and road conditions, Am. J. Phys., 13, 1, 10.1119/1.1990647

Kerner, 1996, Experimental features and characteristics of traffic jams, Phys. Rev. E, 53, 1297, 10.1103/PhysRevE.53.R1297

Kometani, 1958, On the stability of traffic flow, J. Oper. Res. Japan, 2, 11

Kometani, 1961, Dynamic behavior of traffic with a nonlinear spacing, 105

Lighthill, 1955, On kinematic waves I Flood movement in long rivers. II A theory of traffic flow on long crowded roads, Proc. Roy. Soc. (London), A229, 281, 10.1098/rspa.1955.0088

Newell, 1961, Nonlinear effects in the dynamics of car-following, Oper. Res., 9, 209, 10.1287/opre.9.2.209

Newell, 1993, A simplified theory of kinematic waves in highway traffic I General Theory II Queueing at freeway bottlenecks III Multi-destination flows, Transp. Res., 27B, 281, 10.1016/0191-2615(93)90038-C

Pipes, 1953, An operational analysis of traffic dynamics, J. Appl. Phys., 24, 274, 10.1063/1.1721265

Richards, 1956, Shock waves on the highway, Oper. Res., 4, 42, 10.1287/opre.4.1.42

Windover, J.R., 1998. Emperical studies of the dynamics features of freeway traffic. Ph.D. Thesis, Institute of Transportation Studies. University of California, Berkeley