A STOCHASTIC USER EQUILIBRIUM ASSIGNMENT MODEL FOR CONGESTED TRANSIT NETWORKS
operations - traffic, planning - route design, ridership - commuting, policy - congestion
Transit traffic, Traffic models, Traffic congestion, Stochastic processes, Route selection, Route choice, Random processes, Network equilibrium, Lagrangian functions, Gridlock (Traffic), Equilibrium (Systems)
This study proposes a stochastic user equilibrium assignment model for congested transit networks, together with a solution algorithm. A mathematical programming problem is formulated, that is equivalent to the stochastic user equilibrium assignment model for congested transit systems. When the transit link capacity constraints are reached, it is proven that the Lagrange multipliers of the mathematical programming problem are equivalent to the equilibrium passenger overload delays in the congested transit network. The proposed model can simultaneously predict how passengers will choose their optimal routes and estimate the total passenger travel cost in a congested transit network. Numerical examples are used to illustrate the applications of the proposed model.
Lam, WHK, GAO, Z, Chan, K, Yang, H, (1999). A STOCHASTIC USER EQUILIBRIUM ASSIGNMENT MODEL FOR CONGESTED TRANSIT NETWORKS. Transportation Research Part B: Methodological, Volume 33, Issue 5, p. 351-368.