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


S. Sun
W.Y. Szeto

Document Type

Journal Article

Publication Date


Subject Area

place - north america, planning - methods, planning - travel demand management, operations - scheduling


Transit assignment, Logit-based stochastic user equilibrium, Paradox, Approach-based formulation


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.


Permission to publish the abstract has been given by Elsevier, copyright remains with them.


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