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Decomposition algorithm for statistical estimation of OD matrix with random link choice proportions from traffic counts

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  • Lo, H. P.
  • Zhang, N.
  • Lam, W. H. K.

Abstract

Statistical models for the estimation of Origin-Destination (OD) matrix from traffic counts that consider explicitly the presence of randomness in the link choice proportions have been developed recently. These models are more receptive to the fluctuations in the observations due to measurement errors and temporal variations and they can make better use of traffic information. However, the estimation based on the new models involves the optimization of functions that may not be convex and for large networks in real situations, conventional numerical algorithms such as Newton types may have difficulty in attaining the global optimum. In this paper, a decomposition algorithm that makes combined use of the Coordinate Descent method and the Partial Linearization Algorithm is proposed and its convergence proved. The proposed algorithm is shown to perform better with regard to finding the global optimum than the conventional quasi-Newton algorithm. Its implementation is demonstrated by a numerical example and a Hong Kong case study.

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  • Lo, H. P. & Zhang, N. & Lam, W. H. K., 1999. "Decomposition algorithm for statistical estimation of OD matrix with random link choice proportions from traffic counts," Transportation Research Part B: Methodological, Elsevier, vol. 33(5), pages 369-385, June.
    • Handle: RePEc:eee:transb:v:33:y:1999:i:5:p:369-385
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    1. Cascetta, Ennio, 1989. "A stochastic process approach to the analysis of temporal dynamics in transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(1), pages 1-17, February.
    2. Yang, Hai & Iida, Yasunori & Sasaki, Tsuna, 1994. "The equilibrium-based origin-destination matrix estimation problem," Transportation Research Part B: Methodological, Elsevier, vol. 28(1), pages 23-33, February.
    3. Lam, William H. K. & Huang, Hai-Jun, 1992. "A combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 275-287, August.
    4. Maher, M. J., 1983. "Inferences on trip matrices from observations on link volumes: A Bayesian statistical approach," Transportation Research Part B: Methodological, Elsevier, vol. 17(6), pages 435-447, December.
    5. Cascetta, Ennio, 1984. "Estimation of trip matrices from traffic counts and survey data: A generalized least squares estimator," Transportation Research Part B: Methodological, Elsevier, vol. 18(4-5), pages 289-299.
    6. Patriksson, Michael, 1993. "A unified description of iterative algorithms for traffic equilibria," European Journal of Operational Research, Elsevier, vol. 71(2), pages 154-176, December.
    7. Cascetta, Ennio & Nguyen, Sang, 1988. "A unified framework for estimating or updating origin/destination matrices from traffic counts," Transportation Research Part B: Methodological, Elsevier, vol. 22(6), pages 437-455, December.
    8. Fisk, C. S., 1988. "On combining maximum entropy trip matrix estimation with user optimal assignment," Transportation Research Part B: Methodological, Elsevier, vol. 22(1), pages 69-73, February.
    9. Fisk, C. S., 1989. "Trip matrix estimation from link traffic counts: The congested network case," Transportation Research Part B: Methodological, Elsevier, vol. 23(5), pages 331-336, October.
    10. Lo, H. P. & Zhang, N. & Lam, W. H. K., 1996. "Estimation of an origin-destination matrix with random link choice proportions: A statistical approach," Transportation Research Part B: Methodological, Elsevier, vol. 30(4), pages 309-324, August.
    11. Yang, Hai & Sasaki, Tsuna & Iida, Yasunori & Asakura, Yasuo, 1992. "Estimation of origin-destination matrices from link traffic counts on congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 26(6), pages 417-434, December.
    12. Horowitz, Joel L., 1984. "The stability of stochastic equilibrium in a two-link transportation network," Transportation Research Part B: Methodological, Elsevier, vol. 18(1), pages 13-28, February.
    13. Van Zuylen, Henk J. & Willumsen, Luis G., 1980. "The most likely trip matrix estimated from traffic counts," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 281-293, September.
    14. Lam, William H. K. & Huang, Hai-Jun, 1992. "Calibration of the combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 289-305, August.
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    3. Gomes, Gabriel C., 2004. "Optimization and Microsimulation of On-ramp Metering for Congested Freeways," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt95k1q411, Institute of Transportation Studies, UC Berkeley.

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