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A new transit assignment model based on line and node strategies

Hualing Ren, Yingjie Song, Jiancheng Long and Bingfeng Si

Transportation Research Part B: Methodological, 2021, vol. 150, issue C, 121-142

Abstract: Passengers traveling on transit networks involve two kinds of decision-making strategies: deciding which lines are attractive at an origin or transfer node (denoted line strategy, LS), or deciding which node to transfer at when riding a line (denoted node strategy, NS). Combining these two strategies, this paper proposes a novel variational inequality formulation for the user equilibrium passenger assignment problem. The inclusion of the NS eliminates the need for passenger assignment on a large augmented graph, reducing the modeling complexity and making it easier to track all passengers’ travel routes. Moreover, constraints on the maximal number of transfers—which are crucial in practical decision-making on transit networks—are explicitly included, further drastically reducing the set of passengers’ feasible strategies. Furthermore, some extant strategy-based transit assignment models are shown to be a special case of the proposed model when the transfer constraint is removed. Finally, the properties of the proposed model are illustrated on a small network, and the model and algorithm exhibit huge advantages on the chosen transit subnetwork of Beijing.

Keywords: Transit assignment; Line and node strategy; Transfer constraint; Variational inequality problem; Projection algorithm (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.trb.2021.05.018

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