A Novel Transit Assignment Formulation and Solution Method

​​The transit assignment problem has received considerable attention, as finding solutions for this issue is essential both for designing or managing transit networks and for evaluating transit system performance.

We propose a noval approach based transit assignment model using the concept of approach proportion.

We also develope a solution solution algorithm based on the extragradient method. The convergence of the proposal solution method only requires pseudomonotone and Lipschitz continuous properties of the mapping function in VI.

Reference: Szeto, W. Y., & Jiang, Y. (2014). Transit assignment: Approach-based formulation, extragradient method, and paradox. Transportation Research Part B: Methodological, 62, 51-76.