Traffic Assignment Using a Density-Based Travel-Time Function for Intelligent Transportation Systems

IEEE Transactions on Intelligent Transportation Systems

Volumn 17, Issue 5, 2016, Pages 1438-1447

  Kachroo, Pushkin ^a,b   Sastry, Shankar ^b  

^a Las Vegas   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

shockwaves; traffic assignment; Travel time

Indexed keywords

DENSITY FUNCTIONAL THEORY; INTELLIGENT SYSTEMS; INTELLIGENT VEHICLE HIGHWAY SYSTEMS; MATHEMATICAL PROGRAMMING; SHOCK WAVES; TRAFFIC CONTROL;

FUNDAMENTAL DIAGRAM; ILL-POSEDNESS; INTELLIGENT TRANSPORTATION SYSTEMS; STEADY STATE TRAFFIC; TRAFFIC ASSIGNMENT; TRAFFIC DENSITIES; TRAFFIC THEORIES; TRAVEL TIME FUNCTIONS;

TRAVEL TIME;

EID: 84954105655     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2015.2503348     Document Type: Article

References (33)

1. M. Beckmann, C. McGuire, and C. Winsten, "Studies in the economics of transportation," Rand Corp., Santa Monica, CA, USA, 1955.
2. Y. Sheffi, Urban Transportation Networks:Equilibrium Analysis With Mathematical Programming Methods. Englewood Cliffs, NJ, USA: Prentice-Hall, 1985.
3. P. Kachroo and N. Shlayan, "Dynamic traffic assignment: A survey of mathematical models and techniques," in Advances in Dynamic Network Modeling in Complex Transportation Systems. New York, NY, USA: Springer-Verlag, 2013, pp. 1-25.
4. P. Kachroo and K. Ozaby, "Solution to the user equilibrium dynamic traffic routing problem using feedback linearization," Transp. Res. B, Methodol., vol. 32, no. 5, pp. 343-360, Jun. 1998.
5. P. Kachroo, K. Özbay, S. Kang, and J. A. Burns, "System dynamics and feedback control problem formulations for real time dynamic traffic routing," Math. Comput. Model., vol. 27, no. 9-11, pp. 27-49, May/Jun. 1998.
6. P. Kachroo and K. Ozbay, Feedback Control Theory for Dynamic Traffic Assignment. London, U.K.: Springer-Verlag, 1999.
7. P. Kachroo and K. Ozbay, "Feedback control solutions to network level user-equilibrium real-time dynamic traffic assignment problems," Netw. Spatial Econ., vol. 5, no. 3, pp. 243-260, Sep. 2005.
8. ∞ feedback control theoretic approach," J. Intel. Transp. Syst., vol. 10, no. 4, pp. 159-171, 2006.
9. R. Akçelik, "Travel time functions for transport planning purposes: Davidson's function, its time dependent form and alternative travel time function," Australian Road Res., vol. 21, no. 3, pp. 49-59, 1991.
10. K. Davidson, "A flow travel time relationship for use in transportation planning," in Proc. 3rd ARRB Conf., Sydney, NSW, Australia, vol. 3, no. 1, 1966, pp. 183-194.
11. S. M. Turner, W. L. Eisele, R. J. Benz, and D. J. Holdener, "Travel time data collection handbook," TRB, Fed. Highway Admin. (FHWA), Washington, DC, USA, Tech. Rep., 1998.
12. S. Bae and P. Kachroo, "Proactive travel time predictions under interrupted flow condition," in Proc. 6th Int. VNIS Conf. Pacific Rim TransTech Conf., 1995, pp. 179-186.
13. J. Kwon, B. Coifman, and P. Bickel, "Day-to-day travel-time trends and travel-time prediction from loop-detector data," Transp. Res. Rec., J. Transp. Res. Board, vol. 1717, no. 1, pp. 120-129, 2000.
14. M. P. D'Angelo, H. M. Al-Deek, and M. C. Wang, "Travel-time prediction for freeway corridors," Transp. Res. Rec., J. Transp. Res. Board, vol. 1676, no. 1, pp. 184-191, 1999.
15. P. Kachroo, K. Ozbay, and A. G. Hobeika, "Real-time travel time estimation using macroscopic traffic flow models," in Proc. ITSC Conf., 2001, pp. 132-137.
16. T. R. Board, "Highway capacity manual," TRB, Washington, DC, USA, Tech. Rep. 204, 1985.
17. H. Spiess, "Technical note-conical volume-delay functions," Transp. Sci., vol. 24, no. 2, pp. 153-158, 1990.
18. D. Branston, "Link capacity functions: A review," Transp. Res., vol. 10, no. 4, pp. 223-236, Aug. 1976.
19. W. Jastrzebski, "Volume delay functions," in Proc. 15th Int. EMME/2 Users Group Conf., 2000, pp. 1-7.
20. J. Wardrop, "Some theoretical aspects of road traffic research," Proc. Inst. Civil Eng., Part II, vol. 1, no. 3, pp. 325-378, May 1952.
21. S. C. Dafermos and F. Sparrow, "The traffic assignment problem for a general network," J. Res. Nat. Bureau Standards, vol. 73, no. 2, pp. 91-118, 1969.
22. B. D. Greenshields, "A study in highway capacity," Highway Res. Board, vol. 14, pp. 448-477, 1935.
23. H. Greenberg, "An analysis of traffic flow," Oper. Res., vol. 7, no. 1, pp. 78-85, 1959.
24. R. T. Underwood, "Speed, volume, and density relationships: Quality and theory of traffic flow," Yale Bureau Highway Traffic, New Haven, CT, USA, 1961, pp. 141-188.
25. C. F. Daganzo, "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transp. Res. Part B, Methodol., vol. 28, no. 4, pp. 269-287, Aug. 1994.
26. R. P. Roess, E. S. Prassas, and W. R. McShane, Traffic Engineering. Englewood Cliffs, NJ, USA: Prentice-Hall, 2004.
27. "Highway Capacity Manual," 2000.
28. B. Piccoli and M. Garavello, Traffic Flow on Networks. Springfield, MO, USA: Amer. Inst. Math. Sci., 2006.
29. R. Haberman, Mathematical Models. Englewood Cliffs, NJ, USA: Prentice-Hall, 1977.
30. R. J. Leveque, Numerical Methods for Conservation Laws. Basel, Switzerland: Birkhäuser, 1992.
31. Travel demand forecasting: Parameters and techniques, Transp. Res. Board Nat. Cooperative Highway Res. Program (NCHRP), Washington, DC, USA, vol. 716, 2012.
32. P. Kachroo and K. Özbay, Feedback Ramp Metering in Intelligent Transportation Systems. New York, NY, USA: Springer-Verlag, 2003.
33. P. Kachroo and S. Sastry, "Travel time dynamics for intelligent transportation systems: Theory and applications," IEEE Trans. Intel. Transp. Syst., vol. 17, no. 2, pp. 385-394, Feb. 2016.