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The evaluation and application of a fully disaggregate method for trip matrix estimation with platoon dispersion

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  • Zhang, Xiaoyan
  • Maher, Mike J.

Abstract

This paper addresses the problem of estimating an Origin-Destination (O-D) matrix with platoon dispersion from fully disaggregate data: that is, the passage times of vehicles at the entries and exits or the origins and destinations of a network. Given a list of entry times and a list of exiting times, a fully disaggregate method or a matching method tries to match each pair of entry-exiting times such that the resultant journey times for each O-D pair fit the given distributions best. Bell et al., 1991 formulated the problem of finding the most likely set of matches as a 0-1 assignment problem. In this paper, two estimators will be considered: maximum likelihood estimator and the matching-Furness technique. It will be shown that the maximum likelihood estimation can be formulated more generally as a transportation problem. The matching-Furness method is investigated by use of simulated traffic data and is applied to a set of real data collected on the Brescia-Padova motorway network in Italy. The matching-Furness method gives consistently better estimates than the least squares estimator (Cremer and Keller, 1987) and the linked static-dynamic correlation model (Keller and Ploss, 1987). The method is therefore suitable for off-line estimations for general networks.

Suggested Citation

  • Zhang, Xiaoyan & Maher, Mike J., 1998. "The evaluation and application of a fully disaggregate method for trip matrix estimation with platoon dispersion," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 261-276, May.
    • Handle: RePEc:eee:transb:v:32:y:1998:i:4:p:261-276
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    References listed on IDEAS

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    1. 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.
    2. Watling, David P. & Maher, Michael J., 1992. "A statistical procedure for estimating a mean origin-destination matrix from a partial registration plate survey," Transportation Research Part B: Methodological, Elsevier, vol. 26(3), pages 171-193, June.
    3. Shewey, Peter J. H., 1983. "An improved algorithm for matching partial registration numbers," Transportation Research Part B: Methodological, Elsevier, vol. 17(5), pages 391-397, October.
    4. Nihan, Nancy L. & Davis, Gary A., 1987. "Recursive estimation of origin-destination matrices from input/output counts," Transportation Research Part B: Methodological, Elsevier, vol. 21(2), pages 149-163, April.
    5. Watling, David P., 1994. "Maximum likelihood estimation of an origin-destination matrix from a partial registration plate survey," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 289-314, August.
    6. Cremer, M. & Keller, H., 1987. "A new class of dynamic methods for the identification of origin-destination flows," Transportation Research Part B: Methodological, Elsevier, vol. 21(2), pages 117-132, April.
    7. Bell, Michael G. H., 1991. "The real time estimation of origin-destination flows in the presence of platoon dispersion," Transportation Research Part B: Methodological, Elsevier, vol. 25(2-3), pages 115-125.
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    Cited by:

    1. Lin, Pei-Wei & Chang, Gang-Len, 2007. "A generalized model and solution algorithm for estimation of the dynamic freeway origin-destination matrix," Transportation Research Part B: Methodological, Elsevier, vol. 41(5), pages 554-572, June.
    2. Hazelton, Martin L., 2003. "Some comments on origin-destination matrix estimation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(10), pages 811-822, December.

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