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Overcoming the (Apparent) Problem of Inconsistency in Origin-Destination Matrix Estimations

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  • Kurt Jörnsten

    (Institute for Finance and Management Science, The Norwegian School of Economics and Business Administration, Helleveien 30, N-5035 Bergen-Sandviken, Norway)

  • Stein W. Wallace

    (Department of Economics, Norwegian Institute of Technology, University of Trondheim, N-7034 Trondheim, Norway)

Abstract

Recently a number of models for the estimation of origin-destination trip matrices from traffic counts have been presented. One class of models assumes knowledge of the proportional usage of each link by the interzonal traffic. These models result in an underspecified, and often inconsistent, system of linear equations. Several authors have addressed the problem of inconsistency by, in different ways, changing the traffic count data so as to achieve consistency. We argue that, modeling-wise, this is not a sound approach because inconsistent data is a natural part of any origin-destination matrix estimation problem. By using a stochastic programming approach the inconsistent input data becomes a natural part of the estimation process. This is done by viewing the traffic counts as realizations of some unknown underlying distribution of traffic flows.

Suggested Citation

  • Kurt Jörnsten & Stein W. Wallace, 1993. "Overcoming the (Apparent) Problem of Inconsistency in Origin-Destination Matrix Estimations," Transportation Science, INFORMS, vol. 27(4), pages 374-380, November.
    • Handle: RePEc:inm:ortrsc:v:27:y:1993:i:4:p:374-380
    DOI: 10.1287/trsc.27.4.374
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    Cited by:

    1. Hazelton, Martin L., 2010. "Bayesian inference for network-based models with a linear inverse structure," Transportation Research Part B: Methodological, Elsevier, vol. 44(5), pages 674-685, 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.
    3. Yong Zhou & Thomas Sachse, 1997. "A few practical problems on the application of OD-estimation in motorway networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(1), pages 61-80, June.
    4. Chen, Anthony & Chootinan, Piya & Recker, Will, 2009. "Norm approximation method for handling traffic count inconsistencies in path flow estimator," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 852-872, September.

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