Asymmetric problems and stochastic process models of traffic assignment

Transportation Research Part B: Methodological

Volumn 30, Issue 5 PART B, 1996, Pages 339-357

  Watling, David ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ASYMMETRIC PROBLEM; MODELLING APPROACH; PLANNING TECHNIQUE; STOCHASTIC PROCESS MODEL; TRAFFIC ASSIGNMENT; TRANSPORT PLANNING;

APPROXIMATION THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY; RANDOM PROCESSES; TRAFFIC SIGNALS; TRANSPORTATION ROUTES;

ASYMMETRIC ASSIGNMENT PROBLEMS; ORIGIN DESTINATION MATRIX; TRAFFIC ASSIGNMENT;

STREET TRAFFIC CONTROL;

EID: 0030302512     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/0191-2615(96)00006-9     Document Type: Article

References (43)

1. Aashtiani H. Z. and Magnanti T. L. (1981) Equilibria on a Congested Transportation Network. SIAM J. Algebraic Discrete Meths 2, 213-226.
2. Alfa A. S. (1986) A review of models for the temporal distribution of peak traffic demand. Transpn. Res. 20B, 491-499.
3. Alfa A. S. and Minh D. L. (1979) A stochastic model for the temporal distribution of traffic demand - the peak hour problem, Transpn Sci. 13, 315-324.
4. Barnett S. (1990) Matrices: Methods and Applications. Clarendon Press, Oxford.
5. Beckmann M., McGuire B. and Winsten C. B. (1956) Studies in the Economics of Transportation., Yale University Press, New Haven, Connecticut.
6. Ben-Akiva M., De Palma A. and Kanaroglou P. (1986) Dynamic model of peak period traffic congestion with elastic arrival rates, Transpn Sci. 20, 164-181.
7. Braess D. and Koch G. (1979) On the existence of equilibria in asymmetrical multiclass-user transportation networks, Transpn Sci. 13, 56-63.
8. Carey M. (1992) Nonconvexity of the dynamic traffic assignment problem, Transpn. Res. 26B, 127-134.
9. Carey M. and Kwiecinski A. (1994) Swapping the order of scheduled services to minimise expected costs of delays. Transpn. Res. 28B, 409-428.
10. Cascetta E. (1989) A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transpn. Res. 23B, 1-17.
11. Dafermos S. (1971) An extended traffic assignment model with applications to two-way traffic. Transpn Sci. 5, 366-389.
12. Dafermos S. (1972) The traffic assignment problem for multi-class user transportation networks. Transpn Sci. 6, 73-87.
13. Dafermos S. (1980) Traffic equilibrium and variational inequalities. Transpn Sci. 14, 42-54.
14. Daganzo C. F. (1982) Unconstrained extremal formulation of some transportation equilibrium problems, Transpn Sci. 16, 332-360.
15. Daganzo C. F. (1983) Stochastic network equilibrium with multiple vehicle types and asymmetric, indefinite link cost Jacobians. Transpn Sci. 17, 282-300.
16. Davis G. A. and Nihan N. L. (1993) Large population approximations of a general stochastic traffic assignment model. Operat. Res. 41, 169-178.
17. De Palma A. and Lefèvre C. (1987) The theory of deterministic and stochastic compartmental models and its applications. In Urban Systems: Contemporary Approaches to Modelling (C. S. Bertuglia, G. Leonardi, S. Occelli, G. A. Rabino, R. Tadei and A. G. Wilson, Eds, pp. 490-540). Croom Helm, Kent, U.K.
18. Emmerink R. H. M., Axhausen K. W., Nijkamp P. and Rietveld P. (1995) Effects of information in road networks with recurrent congestion. Transportation. 22(1), 21-53.
19. Fargier P. (1983) Effects of the choice of departure time on road traffic congestion: Theoretical approach. In Proceedings of the 8th International Symposium on Transportation and Traffic Theory (V. F. Hurdle, E. Hauer and G. N. Steuart, Eds), held 24-26 June 1981, pp. 223-263. University of Toronto Press.
20. Fernandez, J. E. and Friesz, T. L. (1983) Equilibrium Predictions in Transportation Markets: The State of the Art. Transpn. Res. 17B, 155-172.
21. Fisk C. (1980) Some developments in equilibrium traffic assignment methodology. Transpn. Res. 14B, 243-255.
22. Hensher D. (1988) Model specification for a dynamic discrete continuous choice automobile demand system. In Behavioural Modelling in Geography and Planning (R. C. Golledge and H. Timmermans, Eds) Chapter 21. Croom Helm, Kent, U.K.
23. Heydecker B. G. (1983) Some consequences of detailed junction modelling in road traffic assignment. Transpn Sci. 17, 263-281.
24. Horowitz J. L. (1984) The stability of stochastic equilibrium in a two-link transportation network. Transpn. Res. 18B, 13-28.
25. Jayakrishnan R. , Tsai W. K. and Chen A. (1995) A dynamic traffic assignment model with traffic-flow relationships. Transpn. Res. 3C, 51-72.
26. Kitamura R. (1988) An analysis of weekly activity patterns and travel expenditure. In Behavioural Modelling in Geography and Planning (R. C. Golledge and H. Timmermans, Eds, pp. 399-423). Croom Helm, Kent, U.K.
27. Maher M. J. (1992) SAM - A Stochastic Assignment Model. In Mathematics in Transport Planning and Control (J. D. Griffiths, Ed.) pp. 121-132. Oxford University Press, Oxford.
28. Mahmassani H. S. and Jayakrishnan R. (1991) System performance and user response under real-time information in a congested traffic corridor. Transpn. Res. 25A, 293-308.
29. Morlok E. K. (1979). Short run supply functions with decreasing user costs. Transpn. Res. 13B, 183-187.
30. Netter M. (1972) Affectations de trafic et tarification au coût marginal social: critique de quelques idées admises. Transpn. Res. 6, 411-429.
31. Rathi A. K. (1992) The use of common random numbers to reduce the variance in network simulation of traffic. Transpn. Res. 26B, 357-363.
32. Sheffi Y. (1985) Urban Transportation Networks. Prentice-Hall, New Jersey.
33. Smith M. J. (1979a) Traffic control and route-choice: a simple example, Transpn. Res. 13B, 289-294.
34. Smith M. J. (1979b) The existence, uniqueness and stability of traffic equilibrium. Transpn. Res. 13B, 295-304.
35. Smith M. J. (1981a) The existence of an equilibrium solution to the traffic assignment problem when there are junction interactions. Transpn. Res. 15B, 443-451.
36. Smith M. J. (1981b) Properties of a traffic control policy which ensure the existence of traffic equilibrium consistent with the policy. Transpn. Res. 15B, 453-462.
37. Smith M. J. (1984a) Two alternative definitions of traffic equilibrium, Transpn Sci. 18B, 63-65.
38. Smith M. J. (1984b) The stability of a dynamic model of traffic assignment. An application of a method of Lyapunov. Transpn Sci. 18, 245-252.
39. Timms P. M. and Watling D. P. (1993) Modelling route guidance strategies under day-to-day variability and individual behaviour. Contribution to EC project LLAMD-MARGOT deliverable M7, Proportional routeing strategies, DRIVE office, Brussels.
40. Van Vliet D. (1985) SATURN User Manual and Notes. Institute for Transport Studies, University of Leeds, Leeds, U.K.
41. Van Vliet D. , Bergman T. and Scheites W. M. (1985). Equilibrium traffic assignment with multiple user classes. Proceedings of the PTRC 14th Summer Annual Meeting, Seminar M, pp. 111-122.
42. Vythoulkas P. C. (1990) A dynamic stochastic assignment model for the analysis of general networks. Transpn. Res. 24B, 453-469.
43. Watling D. P. (1995) Modelling responsive signal control and route choice. Paper presented at 7th World Conference on Transport Research, Sydney, 16-20 July 1995, and to appear in Selected Proceedings, Elsevier.