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首页> 外文期刊>European Journal of Operational Research >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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Simultaneous estimation of the origin-destination matrices and the parameters of a nested logit model in a combined network equilibrium model

机译：组合网络平衡模型中原点-目的地矩阵和嵌套logit模型参数的同时估计

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摘要

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 adjust_ment 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 algo_rithm 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.
机译：本文研究了一种具有组合模式的交通均衡模型的逆问题。这个问题包括从对模型输出的一组观察中获得平衡模型的参数化。该模型的输入是已考虑的各种替代方案的始发地（O-D）行程矩阵，以及用作需求模型的嵌套logit模型的一组参数。该模型是通过使用一种称为校准和需求调整模型（CDAM）的新方法制定的，该方法基于双层编程，该编程同时估计O-D矩阵和嵌套logit模型的参数。本文研究了CDAM性质，并证明了CDAM解决方案的存在。本文为CDAM开发了启发式列（路径/超路径）生成algo_rithm。该算法在网络平衡问题和达到平衡时用于获得一组路径的问题之间进行迭代，并且CDAM被限制为先前生成的列的集合（所谓的受限CDAM）。受限制的CDAM在某些假设下被公式化为单层模型，它提供了一种解决方案，可在此基础上对O-D矩阵和参数向量进行新的估计。使用来自马德里多模式网络的数据对算法进行了计算测试。

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