A generalized mean-variance metric of route choice model under travel time uncertainty

Abstract

Route choice modeling under travel time uncertainty is essential for analyzing travelers’ mobility patterns. This paper investigates the impact of travel time uncertainty on route choice behavior in user equilibrium models based on a generalized mean-variance metric (GMV). This model can capture the influence of risk attitudes and schedule unpunctuality on route choice using a generalization of expected travel time, variance, and expected early or late arrival penalties, of which travelers are assumed to minimize the GMV of trips considering a certain on-time arrival probability. This paper establishes the properties of GMV and formulates the GMV-based static user equilibria as a variational inequality (VI) problem, for which the existence and uniqueness of the solutions are also analyzed. An effective traffic assignment algorithm without path enumeration is developed to solve the proposed user equilibrium problem. Numerical examples are conducted to demonstrate the properties of the proposed model.

KEYWORDS:

• Travel time uncertainty
• route choice
• generalize mean-variance
• user equilibrium

Acknowledgements

This work is jointly supported by the Fundamental Research Funds for the Central Universities (2018YJS095), the National Natural Science Foundation of China (71621001, 71961137001), and the Dutch Research Council (NWO, project no. 438-18-401). The first author is grateful to the financial support by the China Scholarship Council (CSC).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is jointly supported by the Fundamental Research Funds for the Central Universities (2018YJS095), the National Natural Science Foundation of China (71621001, 71961137001), and the Dutch Research Council (NWO, project no. 438-18-401).