On the convergence of Bell's logit assignment formulation

Transportation Research Part B: Methodological

Volumn 33, Issue 8, 1999, Pages 609-616

  Wong, S C ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DECISION THEORY; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; TRANSPORTATION ROUTES;

BELL LOGIT ASSIGNMENT METHOD;

MOTOR TRANSPORTATION;

LOGIT ANALYSIS; METHODOLOGY;

EID: 0032695172     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(99)00015-6     Document Type: Article

References (12)

1. Akamatsu T. Cyclic flows, Markov process and stochastic traffic assignment. Transportation Research B. 30:1996;369-386.
2. Bell M.G.H. Alternatives to Dial's logit assignment algorithm. Transportation Research B. 29:1995;287-295.
3. Chachra, V., Ghare, P.M., Moore, J.M., 1979. Applications of Graph Theory Algorithms, North-Holland, New York.
4. Davis G.A. Exact local solution of the continuous network design problem via stochastic user equilibrium assignment. Transportation Research B. 27:1993;61-75.
5. Dial R.B. A probabilistic multipath traffic assignment model with obviates the need for path enumeration. Transportation Research. 5:1971;83-111.
6. Frazer, R.A., Duncan, W.J., Collar, A.R., 1947. Elementary Matrices. Cambridge University Press, Cambridge.
7. Hackbusch, W. 1994. Iterative Solution of Large Sparse Systems of Equations. Springer, New York.
8. Huang H.J., Bell M.G.H. A study on logit assignment which excludes all cyclic flows. Transportation Research B. 32:1998;401-412.
9. Powell W.B., Sheffi Y. The convergence of equilibrium algorithms with predetermined step sizes. Transportation Science. 16:1982;45-55.
10. Saad, Y., 1996. Iterative Methods for Sparse Linear Systems. PWS Publisher, Boston, MA.
11. Van Vliet D. Selected node-pair analysis in Dial's assignment algorithm. Transportation Research. 12:1981;7-20.
12. Zlater, Z., 1991. Computational Methods for General Sparse Matrices. Kluwer Academic Publishers, Dordrecht.