Logit-based transit assignment: Approach-based formulation and paradox revisit

S. Sun and W.Y. Szeto

Transportation Research Part B: Methodological, 2018, vol. 112, issue C, 191-215

Abstract: This paper proposes an approach-based transit assignment model under the assumption of logit-based stochastic user equilibrium (SUE) with fixed demand. This model is proven to have a unique solution. A cost-averaging version of the self-regulated averaging method (SRAM) is developed to solve the proposed approach-based SUE transit assignment problem. It is proven that the algorithm converges to the model solution. Numerical examples with discussions are presented to investigate the model properties, a paradoxical phenomenon due to the stochastic nature of the model, capacity paradox, and the performance of the proposed algorithm. The sensitivity analysis of different model and algorithm parameters are performed. A performance comparison between the cost-averaging SRAM, the flow-averaging SRAM, and the method of successive averages is made. The proposed methodology is demonstrated to be able to solve the Winnipeg transit network.

Keywords: Transit assignment; Logit-based stochastic user equilibrium; Paradox; Approach-based formulation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:112:y:2018:i:c:p:191-215

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DOI: 10.1016/j.trb.2018.03.018

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