This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Anderson, R. L., Herman, R. and Prigogine, I. (1962), “On the statistical distribution function theory of traffic flow”, J. Opns. Res., 10, 180–195.
Braess, D. (1968), “Uber ein Paradoxen der Verkehrsplannung”, Unternehmenstorchung, 12, 258–268.
Chandler, R. E., Herman, R. and Montroll, E. W. (1958), “Traffic Dynamics: Studies in Car Following”, Operations Res., 6, 165–184.
Daou, A. (1964), “On Flow in Platoons”, Bull. Operations Res. Oc. Amer., 25ty National Meeting, 12, B40.
Edie, L. C. (1961), “Car-Following and Steady-State Theory for Non-Congested Traffic”, Operations Res., 9, (1), 66–76.
Edie, L. C. (1974), “Flow Theories”, in Traffic Science, edited by D. C. Gazis, Wiley-Interscience, New York, pp. 1–108.
Forbes, T. W., Zagorski, M. J., Holshouser, E. L. and Deterline, W. A. (1958), “Measurement of Driver Reactions to Tunnel Conditions”, Proc. Highway Res. Board, 37, 345–357.
Gazis, D. C., Herman, R. and Potts, R. B. (1959), “Car-Following Theory of Steady-State Traffic Flow”, Operations Res., 7, 499–505.
Gazis, D. C., Herman, R. and Rothery, R. W. (1961), “Nonlinear Follow-the-Leader Models of Traffic Flow”, Operations Res., 9, 545–567.
Gazis, D. C., Herman, R. and Rothery, R. W. (1963), “Analytical Methods in Transportation: Mathematical Car-Following Theory of Traffic Flow”, Proc. Am. Soc. Civil Engrs, Eng. Mech. Div., 6, 29–46.
Gazis, D. C. and Herman, R. (1992), “The Moving and ‘Phantom’ Bottlenecks”, Transp. Science, 26, No.3, 223–229.
Greenberg, H. (1959), “An Analysis of Traffic Flow”, Operations Res., 7, No.l, 79–85.
Helly, W. and Baker, P. G. (1967), “Acceleration noise in a congested signalized environment”, in Vehicular Traffic Science, Proc. Third Intern. Symp. on Th. Of Traffic Flow, American Elsevier, New York, pp. 56–61.
Herman, R., Montroll, E. W., Potts, R. B. and Rothery, R. W. (1959), “Traffic Dynamics: Analysis of Stability in Car Following”, Operations Res., 7, 86–106.
Herman, R. and Potts, R. B. (1961), “Single-Lane Traffic Theory and Experiment”, in Theory of Traffic Flow, edited by R. Herman, Amsterdam: Elsevier, 120–146.
Herman, R. and Rothery, R. W. (1962), “Microscopic and Macroscopic Aspects of Single Lane Traffic Flow”, Operations Res. Japan, 5, 74.
Herman, R. and Prigogine, I. (1979), “A Two-Fluid Approach to Town Traffic”, Science, 204, 148–151.
Jones, T. R. and Potts, R. B. (1962), “The measurement of acceleration noise — a traffic parameter”, Oper. Res. 10 (6), 745–763.
Lighthill, M. J. and Whitham, G. B. (1955), “On Kinematic Waves, II. A Theory of Traffic Flow on Long Crowded Roads”, Proc. Roy. Soc. (London) 229A, 317–345.
Mahmassani, H. S., Williams, J. C. and Herman, R. (1987), “Performance of Urban Traffic Networks”, in Transportation and Traffic Theory, edited by N. H. Gartner and N. H. M. Wilson, Elsevier Science Publishing Company, Amsterdam, pp. 1–20.
May, A. D. and Keller, H. E. M. (1969), “Evaluation of Single and Multi-Regime Traffic Flow Models”, in Beitrage zur Theorie des Verkehrs Flusses, Bonn: Heransgegeben vom Bundesminister fur Verkehr, pp. 37–47.
Montroll, E. W. (1961), “Acceleration noise and clustering tendency of vehicular traffic”, in Proc. Symp. on Th. Of Traffic Flow, Elsevier, New York, pp. 147–157.
Newell, G. F. (1965), “Instability in Dense Highway Traffic”, in Proc. 2 nd Intrn. Symp. on the Theory of Road Traffic Flow, edited by J. Almond, Paris: Office of Economic Cooperation and Development, 73–83.
Pipes, L. A. (1953), “An Operational Analysis of Traffic Dynamics”, J. Appl. Phys., 24, 274–281.
Prigogine, I. (1961), “A Boltzmann-like approach to the statistical theory of traffic flow”, in Theory of Traffic Flow, R. Herman, Editor, Elsevier Publishing Co., Amsterdam.
Reuschel, R. (1950), “Fahrzeughewegungen in der Kolonne bei gleichformig beschleunigtem oder verzogertem Leitfarzeug”, Zeit. Osterr. Ing. und Arch. Ver., 95, 52–62, 73–77.
Richards, P. I. (1956), “Shock Waves on a Highway”, Operations Res., 4, 42–51.
Smeed, R. J. (1967), “Some Circumstances in Which Vehicles Will Reach Their Destination Earlier by Starting Later”, Transp. Sci., 1, 308–317.
Underwood, R. T. (1968), “Acceleration noise and traffic congestion”, Traffic Eng. Control, 10 (3), 120–123, 130.
Additional References
Buckley, D. J. (1962), “Road Traffic Headway Distributions”, Proc. Aust. Road Res. Board, 1, 153–187.
Daganzo, C. F. (1997), Fundamentals of Transportation and Traffic Operations, New York: Elsevier.
Darroch, J. N. and Rothery, R. W. (1972), “Car Following and Spectral Analysis”, in Traffic Flow and Transportation, edited by G. F. Newell, New York: Elsevier.
Dunne, M. C., Rothery, R. W. and Potts, R. B. (1968), “A Discrete Markov Model of Vehicular Traffic”, Transp. Sci., 2, No. 3, 233–251.
Gazis, D. C., Herman, R. and Weiss, G. (1962), “Density Oscillations Between Lanes of a Multi-Lane Highway”, Operations Res., 10, 658–667.
Greenberg, H. (1959), “An Analysis of Traffic Flow”, Operations Res., 7, No. 1, 79–85 (1959).
Greenshields, B. and Loutzenheiser, A. (1940), “Speed Distributions”, Proc. Highway Res. Board, 20.
Haight, F. A. (1963), Mathematical Theories of Traffic Flow, New York: Academic Press.
Kometani, E. (1955), “On the Theoretical Solution of Highway Traffic Under Mixed Traffic”, Jour. Faculty, Kyoto Univ., 17, 79–88.
Miller, A. J. (1961), “Analysis of Bunching in Rural Two-Lane Traffic”, J. Roy. Statist. Soc., B-23, 64–75.
Montroll, E. W. and Potts, R. B. (1964), “Car-Following and Acceleration Noise”, An Introduction to Traffic Flow Theory, Highway Research Board Special Report 79.
Newell, G. F. (1955), “Mathematical Models of Freely Flowing Highway Traffic”, Operations Res., 3, 176–186.
Newell, G. F. (1962), “Theories of Instability in Dense Highway Traffic”, J. Oper. Res. Soc. Japan, 5, 9–54.
Newell, G. F. (1965), “Instability in Dense Highway Traffic”, in Proc. 2 nd Intern. Symp. on the Theory of Road Traffic Flow, edited by J. Almond, Paris: Office of Economic Cooperation and Development, pp. 73–83.
Newell, G. F. (1968), “Stochastic Properties of Peak Short-Time Traffic Counts”, Transp. Sci., 2, No. 3, 167–183.
Oliver, R. M. (1952), “Distributon of Gaps and Blocks in a Traffic Stream”, Oper. Res., 10, 197–217.
Prigogine, I., Herman, R. and Anderson, R. (1965), “Further Developments in the Boltzmann-like Theory of Traffic”, in Proc. 2 nd Intern. Symp. on the Theory of Road Traffic Flow, edited by J. Almond, Paris: Office of Economic Cooperation and Development, pp. 129–138.
Prigogine, I. and Herman, R. (1971), Kinetic Theory of Vehicular Traffic, New York: Elsevier.
Underwood, R. T. (1963), “Traffic Flow and Bunching”, J. Aust. Rd. Res., 1, 8–25.
Vaughn, R. and Hurdle, V. F. (1992), “A Theory of Traffic Flow for Congested Conditions on Urban Arterial Streets. I: Theoretical Development”, Transp. Res., 26B, 381–396.
Wardrop, J. G. (1952), “Some Theoretical Aspects of Road Traffic Research”, Proc. Inst. Civil Engineers, Part II, 1, No. 2, 325–362.
Wright, C. C. (1972), “Some Properties of the Fundamental Relations of Traffic Flow”, in Traffic Flow and Transportation, edited by G. F. Newell, New York: Elsevier, pp. 19–32.
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
(2002). Traffic Flow Theories. In: Traffic Theory. International Series in Operations Research & Management Science, vol 50. Springer, Boston, MA. https://doi.org/10.1007/0-306-48217-7_1
Download citation
DOI: https://doi.org/10.1007/0-306-48217-7_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7095-2
Online ISBN: 978-0-306-48217-5
eBook Packages: Springer Book Archive