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Entropy 2014, 16(7), 3635-3654; doi:10.3390/e16073635
Article

A Maximum Entropy Fixed-Point Route Choice Model for Route Correlation

1
,
2
 and
1,*
1 Escuela de Ingeniería Civil Industrial, Universidad Diego Portales, Santiago 8370191, Chile 2 Department of Transport Engineering and Logistics, Pontificia Universidad Católica de Chile, Santiago 7820436, Chile
* Author to whom correspondence should be addressed.
Received: 19 March 2014 / Revised: 6 June 2014 / Accepted: 23 June 2014 / Published: 30 June 2014
(This article belongs to the Special Issue Maximum Entropy and Its Application)
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Abstract

In this paper we present a stochastic route choice model for transit networks that explicitly addresses route correlation due to overlapping alternatives. The model is based on a multi-objective mathematical programming problem, the optimality conditions of which generate an extension to the Multinomial Logit models. The proposed model considers a fixed point problem for treating correlations between routes, which can be solved iteratively. We estimated the new model on the Santiago (Chile) Metro network and compared the results with other route choice models that can be found in the literature. The new model has better explanatory and predictive power that many other alternative models, correctly capturing the correlation factor. Our methodology can be extended to private transport networks.
Keywords: maximum entropy; route choice; fixed point; route overlapping; route correlation maximum entropy; route choice; fixed point; route overlapping; route correlation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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de Grange, L.; Raveau, S.; González, F. A Maximum Entropy Fixed-Point Route Choice Model for Route Correlation. Entropy 2014, 16, 3635-3654.

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