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This paper studies the mode choice problem in a transportation system that comprises a subway parallel to a bottleneck-constrained highway between a residential area and a work place. People can get their destination by either auto or transit mode only; besides these two modes, they can adopt the third one, i. e., firstly drive their cars to the bottleneck, park there and then take the subway to destination. Utilizing some outputs from the well-known bottleneck model, we propose several mode choice models that correspond to the logit-based stochastic equilibrium. It is shown that there exists a scheme with suitable subway ticket and parking fee, to implement the maximization of the system's total net benefit. There also exists a scheme that maximizes the subway's profit, but is valued with higher pricing level. Numerical results are presented for the model validation.
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