A path-size weibit stochastic user equilibrium model

• A path-size weibit (PSW) stochastic user equilibrium (SUE) model is developed.
• The PSW-SUE model accounts for both route overlapping and route-specific perception variance.
• Equivalency and uniqueness of the PSW-SUE model are provided.
• A path-based algorithm is developed for solving the PSW-SUE model.
• Numerical results using a real network are presented.

The aim of this paper is to develop a path-size weibit (PSW) route choice model with an equivalent mathematical programming (MP) formulation under the stochastic user equilibrium (SUE) principle that can account for both route overlapping and route-specific perception variance problems. Specifically, the Weibull distributed random error term handles the identically distributed assumption such that the perception variance with respect to different trip lengths can be distinguished, and a path-size factor term is introduced to resolve the route overlapping issue by adjusting the choice probabilities for routes with strong couplings with other routes. A multiplicative Beckmann’s transformation (MBec) combined with an entropy term are used to develop the MP formulation for the PSW-SUE model. A path-based algorithm based on the partial linearization method is adopted for solving the PSW-SUE model. Numerical examples are also provided to illustrate features of the PSW-SUE model and its differences compared to some existing SUE models as well as its applicability on a real-size network.