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Simultaneous estimation of the origin-destination matrices and the parameters of a nested logit model in a combined network equilibrium model

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  • García-Ródenas, Ricardo
  • Marín, Ángel
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    Abstract

    This paper deals with the inverse problem of a type of traffic equilibrium models with combined modes. This problem consists of obtaining a parametrization of the equilibrium model from a set of observations of the outputs for the model. The inputs for the model are an origin-destination (O-D) trip matrix for the various alternatives that have been considered, and a set of parameters for a nested logit model used as a demand model. This model has been formulated by using a new approach called the calibration and demand adjustment model (CDAM) based on bilevel programming which simultaneously estimates an O-D matrix and the parameters for the nested logit model. In this paper, the CDAM properties are studied and it is proved the CDAM solution exists. This paper develops a heuristic column (paths/hyperpaths) generation algorithm for the CDAM. This algorithm iterates between the network equilibrium problem and that which is used to obtain a set of paths when equilibrium is attained, and the CDAM is restricted to the set of previously generated columns (the so-called restricted CDAM). The restricted CDAM is formulated as a single level model under certain hypotheses and it furnishes a solution upon which to base a new estimation of the O-D matrix and the vector of parameters. The computational tests on the algorithm have been carried out using data from a multi-modal network in Madrid.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4SVC5MJ-8/2/24fababee376dbba3dc779af4869434a
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 197 (2009)
    Issue (Month): 1 (August)
    Pages: 320-331

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    Handle: RePEc:eee:ejores:v:197:y:2009:i:1:p:320-331

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Origin-destination matrix adjustment Parameter calibration Bilevel programming Heuristic algorithms;

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    Cited by:
    1. 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.

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