A link-based variational inequality model for dynamic departure time/route choice

Transportation Research Part B: Methodological

Volumn 30, Issue 1, 1996, Pages 31-46

  Ran, Bin ^a   Hall, Randolph W ^b   Boyce, David E ^c  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^c UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC DEPARTURE TIME; METHODOLOGICAL DEVELOPMENT; MODELLING APPROACH; ROUTE CHOICE; TRANSPORT PLANNING; TRAVEL BEHAVIOUR; VARIATIONAL INEQUALITY;

EID: 0029751356     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/0191-2615(95)00010-0     Document Type: Article

References (26)

1. Ben-Akiva M., Cyna M. and de Palma A. (1984) Dynamic Model of Peak Period Congestion, Transpn Res. 18B, 339-355.
2. Ben-Akiva M., de Palma A. and Kanaroglu P. (1986) Dynamic Model of Peak Period Traffic Congestion with Elastic Arrival Rates. Transpn Sci. 20, 164-181.
3. Boyce D. E., Ran B. and LeBlanc L. J. (1995) Solving an Instantaneous Dynamic User-Optimal Traffic Assignment Model. Transpn Sci. 29, 128-142.
4. Dafermos S, (1980) Traffic Equilibrium and Variational Inequalities. Tanspn Sci. 14, 42-54.
5. Dafermos S. and Nagurney A. (1984) Stability and sensitivity Analysis for the General Network Equilibrium Travel Choice Model. Proc. 9th Int. Symp. on Transportation and Traffic Theory, pp. 217-234. VNU Science Press, Utrecht, The Netherlands.
6. Daganzo C. F. (1994) Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory. Transpn Res. 28B, 269-287.
7. de Palma A., Ben-Akiva M., Lefevre C. and Litinas N. (1983) Stochastic Equilibrium Model of Peak Period Traffic Congestion. Transpn Sci. 17, 430-453.
8. Dial R. B. (1971) Probabilistic Multipath Traffic Assignment Model Which Obviates Path Enumeration. Transpn Res. 5, 83-111,
9. Fisk C. and Boyce D. E. (1983) Alternative Variational Inequality Formulations of Network Equilibrium Travel Choice Problem. Transpn Sci. 17, 454-463.
10. Frank M. and Wolfe P. (1956) An Algorithm for Quadratic Programming. Nav. Res. Logistics Quarterly 3, 95-110.
11. Friesz T. L., Bernstein D., Smith T. E., Tobin R. L. and Wie B.-W. (1993) A Variational Inequality Formulations of the Dynamic Network User Equilibrium Problem. Ops. Res. 41, 179-191.
12. Hendrickson C. and Plank E. (1984) The Flexibility of Departure Times for Work Tips. Transpn Res. 18A, 25-36.
13. Janson B. N. (1992) Dynamic Traffic Assignment with Schedule Delay. Paper presented at the 71th Annual TRB Meeting, Washington D.C.
14. Kuwahara M. and Akamatsu T. (1993) Dynamic Equilibrium Assignment with Queues for a One-to-Many OD Pattern. Proc. 12th Int. Symp. on Transportation and Traffic Theory, pp. 185-204. Elsevier Science, Amsterdam.
15. Mahmassani H. S. and Chang G. L. (1987) On Boundedly Rational User Equilibrium in Transportation Systems. Transpn Sci. 21, 89-99.
16. Mahmassani H. S. and Herman R. (1984) Dynamic User Equilibrium Departure Time and Route Choice on Idealized Traffic Arterials. Transpn Sci. 18, 362-384.
17. Nagurney A. (1986) Computational Comparisons of Algorithms for General Asymmetric Traffic Equilibrium Problems with Fixed and Elastic Demands. Transpn Res. 20B, 78-84
18. Nagurney A. (1993) Network Economics: A Variational Inequality Approach. Kluwer Academic Publishers, Norwell, Mass.
19. Newell G. F. (1993) A Simplified Theory of Kinematic Waves in Highway Traffic. Transpn Res. 27B, 281-314.
20. Ran B. (1993) The First-In-First-Out Constraint in Dynamic Traffic Assignment Problems. Working Paper, PATH Program, Institute of Transportation Studies. University of California at Berkeley.
21. Ran B. and Boyce D. E. (1996) A Link-Based Variational Inequality Formulation of Ideal Dynamic User-Optimal Route Choice Problem. To appear in Transpn Res.
22. Ran B., Boyce D. E. and LeBlanc L. J. (1992) Dynamic User-Optimal Departure Time and Route Choice Model: A Bilevel, Optimal-Control Formulation. ADVANCE Working Paper, 12. Urban Transportation Center, University of Illinois at Chicago.
23. Ran B., Boyce D. E. and LeBlanc L. J. (1993) A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models. Opns Res. 41, 192-202.
24. Ran B., Rouphail N., Tarko A. and Boyce D. E. (1992) Toward a Set of Dynamic Link Travel Time Functions for Dynamic Traffic Assignment. Presented at the 39th North American Meeting of Regional Science Association International, Chicago.
25. Smith M. J. (1979) The Existence, Uniqueness and Stability of Traffic Equilibria. Transpn Res. 13B, 295-304.
26. Smith M. J. (1993) A New Dynamic Traffic Model and The Existence and Calculation of Dynamic User Equilibria on Congested Capacity-Constrained Road Networks. Transpn Res. 27B, 49-63.