A Comparative Study of Two Alternative Methods for the Path-Based Logit Stochastic User Equilibrium Problem

Bo Jian Zhou; Xu Hong  Li; Jie  He

doi:10.4028/www.scientific.net/AMR.756-759.1433

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759A Comparative Study of Two Alternative Methods for...

A Comparative Study of Two Alternative Methods for the Path-Based Logit Stochastic User Equilibrium Problem

Abstract:

in this paper, a computational study of two alternative methods for the path-based logit stochastic user equilibrium model is conducted. The two methods under investigation are the Jacobi gradient projection method and the Gauss-Seidel gradient projection method. We compare the two methods on the Sioux Falls network. Numerical results indicate that for the path-based logit SUE problem, Jacobi gradient projection method is more efficient than Gauss-Seidel gradient projection method.

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Periodical:

Advanced Materials Research (Volumes 756-759)

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1433-1436

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.1433

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Online since:

September 2013

Authors:

Bo Jian Zhou, Xu Hong Li, Jie He

Keywords:

Gauss-Seidel, Jacobi, Logit, Stochastic User Equilibrium

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References

[1] R. B. Dial: Transportation Research. Vol. 5 (1971), pp.83-111.

Google Scholar

[2] M. G. H. Bell: Transportation Research Part B. Vol. 29 (1995), pp.287-295.

Google Scholar

[3] M. Ben-Akiva, M. J. Bergman, A. J. Daly, and R. Ramaswamy, in: Proceedings of the 9th International Symposium on Transportation and Traffic Theory, edtied by J, Volmuller, and R. Hamerslag, VNU Press, Utrecht, (1984).

Google Scholar

[4] J. A. Azevedo, M. E. O. Santos Costa, J. J. E. R. Silvestre Madera, and E. Q. Vieira Martins: European Journal of Operational Research. Vol. 69(1993), pp.97-106.

Google Scholar

[5] T. De la Barra, B. Perez, and J. Anez: Proceedings of the 21st PTRC Summer Annual Meeting, Manchester, England, (1993), pp.307-319.

Google Scholar

[6] D. P. Bertsekas, and J. N. Tsitsiklis: Parallel and distributed computation, numerical methods (Prentice Hall, United States 1989).

Google Scholar

[7] A. Nagurney: Network Economics: A Variational Inequality Approach (Kluwer Academic Publishers, The Netherlands 1999).

Google Scholar

[8] R. Jayakrishnan, W. K. Tsai, J. N. Prashker, and S. Rajadhyaksha: Transportation Research Record. Vol. 1443 (1994), p.75—83.

Google Scholar

[9] D. P. Bertsekas, in: Proc. of 5th International Conference on Analysis and Optimization of Systems, edtied by A. Bensoussan, and J. L. Lions, Springer-Verlag, Berlin & N. Y, (1982).

Google Scholar

[10] C. Fisk: Transportation Research Part B. Vol. 14 (1980), p.243–255.

Google Scholar

[11] Y. Sheffi, and W. B. Powell: Networks. Vol. 12 (1982), pp.191-207.

Google Scholar