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Estimation of origin-destination trip-tables based on a partial set of traffic link volumes

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  • Sherali, Hanif D.
  • Narayanan, Arvind
  • Sivanandan, R.

Abstract

Knowledge of motorists' origin-destination (OD) travel information is necessary for a wide range of transportation planning activities. The high cost of manpower and other expenses associated with conventional survey techniques for OD estimation have motivated the development of models that can inexpensively estimate these flows from easily available traffic link volumes. In this paper, we develop an approach for synthesizing these OD flows based on only a partial set of link volume information. This consideration introduces nonlinearities in the cost function of the model because of the dependence of link travel costs on link volumes, and requires the determination of a fixed-point (rather than an optimal) solution to the proposed model. Such a fixed point is determined heuristically by iteratively approximating the nonlinear model using a sequence of linear programs. Computational results on three sample networks from the literature are presented to evaluate the method and to provide insights into its performance relative to some maximum entropy and bilevel programming approaches.

Suggested Citation

  • Sherali, Hanif D. & Narayanan, Arvind & Sivanandan, R., 2003. "Estimation of origin-destination trip-tables based on a partial set of traffic link volumes," Transportation Research Part B: Methodological, Elsevier, vol. 37(9), pages 815-836, November.
    • Handle: RePEc:eee:transb:v:37:y:2003:i:9:p:815-836
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    2. Foulds, Les R. & do Nascimento, Hugo A.D. & Calixto, Iacer C.A.C. & Hall, Bryon R. & Longo, Humberto, 2013. "A fuzzy set-based approach to origin–destination matrix estimation in urban traffic networks with imprecise data," European Journal of Operational Research, Elsevier, vol. 231(1), pages 190-201.
    3. Uchida, Kenetsu, 2014. "Estimating the value of travel time and of travel time reliability in road networks," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 129-147.
    4. Bera, Sharminda & Rao, K. V. Krishna, 2011. "Estimation of origin-destination matrix from traffic counts: the state of the art," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 49, pages 2-23.
    5. Malik, Leeza & Tiwari, Geetam & Biswas, Udayin & Woxenius, Johan, 2021. "Estimating urban freight flow using limited data: The case of Delhi, India," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    6. Hazelton, Martin L., 2008. "Statistical inference for time varying origin-destination matrices," Transportation Research Part B: Methodological, Elsevier, vol. 42(6), pages 542-552, July.
    7. Doblas, Javier & Benitez, Francisco G., 2005. "An approach to estimating and updating origin-destination matrices based upon traffic counts preserving the prior structure of a survey matrix," Transportation Research Part B: Methodological, Elsevier, vol. 39(7), pages 565-591, August.
    8. Gunnar Flötteröd & Michel Bierlaire & Kai Nagel, 2011. "Bayesian Demand Calibration for Dynamic Traffic Simulations," Transportation Science, INFORMS, vol. 45(4), pages 541-561, November.
    9. Lundgren, Jan T. & Peterson, Anders, 2008. "A heuristic for the bilevel origin-destination-matrix estimation problem," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 339-354, May.
    10. Guedes, M. Carmo M. & Oliveira, Natália & Santiago, Sérgio & Smirnov, Georgi, 2012. "On the evaluation of a public transportation network quality: Criteria validation methodology," Research in Transportation Economics, Elsevier, vol. 36(1), pages 39-44.
    11. Recker, W. & Marca, J. & Rindt, C. & Dechter, R., 2010. "The Personal Travel Assistant (PTA): Measuring the dynamics of human travel behavior," University of California Transportation Center, Working Papers qt94s473v6, University of California Transportation Center.

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