We propose a new formulation for the assignment problem over congested transit networks. The congestion effects due to insufficient capacity of system elements (transit lines) are considered to be concentrated at transit stops. Waiting times on access links are therefore dependent on passenger flows. A special formulation of the transit network is used in order to model correctly the congestion effects. Finally, algorithms for solution are analyzed.

Many trips in urban areas are taken by using more than one mode, such as the so called “kiss'n ride” or “park'n ride” trips; the first part of the trip is taken by the private care and then completed by taking one or more transit modes. We present in this paper several approaches to formulating network equilibrium models with combined modes. One of these approaches results in a new network equilibrium model, where the combined mode is considered as a distinct alternative in a demand model, and the network flows are suitably modelled on different modal subnetworks. The mathematical structure of the model is analysed and solution algorithms are outlined.

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