A Note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow

References

  • Ansorge R. What does the entropy solution mean in traffic flow theory? Transportation Res (1990) 24B:133–143CrossrefGoogle Scholar
  • Daganzo C. F. The cell-transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Res (1994) 28B:269–287CrossrefGoogle Scholar
  • Daganzo C. F. The cell-transmission model, part II: Network traffic. Transportation Res (1995) 29B:79–93CrossrefGoogle Scholar
  • Drake J. S., Schofer J. L., May A. D. A statistical analysis of speed density hypotheses. Proc. 3rd Internat. Sympos. Transportation and Traffic Theory (1967) New YorkGoogle Scholar
  • Edie L. C. Following and steady-state theory for noncongested traffic. Oper. Res. (1961) 9:66–76LinkGoogle Scholar
  • Greenberg H. An analysis of traffic flow. Oper. Res. (1959) 7:78–85LinkGoogle Scholar
  • Greenshields B. D. A study in highway capacity. Proc. Highway Res. Board (1935) 1Google Scholar
  • Lax P. D., Zarantonello E. Shock waves and entropy. Contributions to Nonlinear Functional Analysis (1971) (Academic Press, New York) CrossrefGoogle Scholar
  • Lax P. D. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Regional Conf. Ser. Appl. Math. (1973) 11(SIAM, Philadelphia, PA) CrossrefGoogle Scholar
  • Lighthill M. J., Whitham G. B. On kinematic waves II: A theory of traffic flow on long crowded roads. Proc. Royal Soc. London, Series A (1955) 229:317–345CrossrefGoogle Scholar
  • Newell G. F. A simplified theory of kinematic waves in highway traffic. Transportation Res (1993) 27B:281–314CrossrefGoogle Scholar
  • Richards P. I. Shock waves on the highway. Oper. Res. (1956) 4:42–51LinkGoogle Scholar
  • Underwood R. T. Speed, volume, and density relationships, quality and theory of traffic flow. (1961) 141–188Yale Bureau of Highway Traffic, New Haven, CTGoogle Scholar
  • Van Aerde M. A single regime speed-flow-density relationship for freeways and arterials. Transportation Res. Board 74th Annual Meeting (1995) Washington, D.C(JanuaryGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.