A Path-size Weibit Stochastic User Equilibrium Model

Songyot Kitthamkesorn · Anthony Chen

65 citations0/0 files storedProcedia - Social and Behavioral Sciences

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Transportation Planning and Optimization Traffic control and management Transportation and Mobility Innovations

Abstract

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 model as well as its applicability on a real-size network.

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References

1978MODELING THE CHOICE OF RESIDENTIAL LOCATION 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods 1994The Traffic Assignment Problem: Models and Methods 1999Discrete Choice Methods and their Applications to Short Term Travel Decisions 1977On Stochastic Models of Traffic Assignment 1971A probabilistic multipath traffic assignment model which obviates path enumeration 1997Transportation Network Analysis 2001The generalized nested logit model

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