A Fixed Point Route Choice Model for Transit Networks that Addresses Route Correlation

In this paper we present a stochastic route choice model for transit networks, which explicitly addresses route correlation due to overlapping in the alternatives. The model is based on a multi-objective mathematical programming problem, which optimality conditions generate an extension to the Multinomial Logit models. The model proposed considers a fixed point problem for treating correlation between routes, which can be solved iteratively. We estimated the new model on the Santiago Metro network and compared the results with other route choice models that can be found in literature. The new model has better explanatory and predictive power, correctly capturing the correlation factor. Our methodology can be extended to private transport networks.