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Parameter optimization methods for estimating dynamic origin-destination trip-tables

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  • Sherali, Hanif D.
  • Arora, Namita
  • Hobeika, Antoine G.

Abstract

Dynamic origin-destination tables help in on-line control of traffic facilities and, consequently, are of significant use in alleviating traffic congestion. Such tables find useful applications in the contexts of Advanced Traffic Management Systems and Advanced Traveler Information Systems. This paper considers the estimation of split parameters that prescribe an origin-destination trip-table based on dynamic information regarding entering and exiting traffic volumes through an intersection or a small freeway segment. Two models are developed and motivated for this problem, one based on a least-squares estimation approach and the other based on a least absolute norm approach. Both models enhance existing dynamic origin-destination trip-table estimation models in that they also consider freeway segments having differing time-dependent transfer lags between different pairs of entrances and exits. A projected conjugate gradient scheme is employed for solving the constrained least-squares problem and is compared against a standard commercial software. The least absolute norm estimation problem is posed as a linear programming problem and is also solved using a commercial software for the sake of comparison. Computational results are presented on a set of test problems using synthetic as well as realistic simulated data, involving the determination of origin-destination trip tables for both intersection and freeway scenarios, in order to demonstrate the viability of the proposed methods. These results exhibit that, unlike as reported in the literature based on previous efforts, properly designed parameter optimization methods can indeed provide accurate estimates in a real-time implementation framework. Hence, these methods provide competitive alternatives to the iterative statistical techniques that have been heretofore used because of their real-time processing capabilities, despite their inherent inaccuracies.

Suggested Citation

  • Sherali, Hanif D. & Arora, Namita & Hobeika, Antoine G., 1997. "Parameter optimization methods for estimating dynamic origin-destination trip-tables," Transportation Research Part B: Methodological, Elsevier, vol. 31(2), pages 141-157, April.
    • Handle: RePEc:eee:transb:v:31:y:1997:i:2:p:141-157
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    References listed on IDEAS

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    1. Hanif D. Sherali & Bradley O. Skarpness & Buyong Kim, 1988. "An assumption‐free convergence analysis for a perturbation of the scaling algorithm for linear programs, with application to the L1 estimation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 473-492, October.
    2. Nancy L. Nihan & Gary A. Davis, 1989. "Application of Prediction-Error Minimization and Maximum Likelihood to Estimate Intersection O-D Matrices from Traffic Counts," Transportation Science, INFORMS, vol. 23(2), pages 77-90, May.
    3. 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.
    4. 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. Bierlaire, Michel, 2002. "The total demand scale: a new measure of quality for static and dynamic origin-destination trip tables," Transportation Research Part B: Methodological, Elsevier, vol. 36(9), pages 837-850, November.
    2. Nie, Yu (Marco) & Zhang, H.M., 2008. "A variational inequality formulation for inferring dynamic origin-destination travel demands," Transportation Research Part B: Methodological, Elsevier, vol. 42(7-8), pages 635-662, August.
    3. Li, Baibing & De Moor, Bart, 1999. "Recursive estimation based on the equality-constrained optimization for intersection origin-destination matrices," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 203-214, April.
    4. Zhang, Michael & Nie, Yu & Shen, Wei & Lee, Ming S. & Jansuwan, Sarawut & Chootinan, Piya & Pravinvongvuth, Surachet & Chen, Anthony & Recker, Will W., 2008. "Development of A Path Flow Estimator for Inferring Steady-State and Time-Dependent Origin-Destination Trip Matrices," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3nr033sc, Institute of Transportation Studies, UC Berkeley.
    5. Sherali, Hanif D. & Park, Taehyung, 2001. "Estimation of dynamic origin-destination trip tables for a general network," Transportation Research Part B: Methodological, Elsevier, vol. 35(3), pages 217-235, March.
    6. Li, Baibing & Moor, Bart De, 2002. "Dynamic identification of origin-destination matrices in the presence of incomplete observations," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 37-57, January.

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