Skip navigation

Multimodal network equilibrium with stochastic travel

Multimodal network equilibrium with stochastic travel

Meng, M. ORCID: 0000-0001-7240-6454, Shao, C. F., Wong, Y. D. and Zhang, J. (2014) Multimodal network equilibrium with stochastic travel. Mathematical Problems in Engineering, 2014:136872. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:

[img] PDF (Publisher's PDF - Open Access)
22705 MENG_Multimodal_Network_Equilibrium_with_Stochastic_Travel_Times_(OA)_2014.pdf - Published Version
Available under License Creative Commons Attribution.

Download (2MB)


The private car, unlike public traffic modes (e.g., subway, trolley) running along dedicated track-ways, is invariably subject to various uncertainties resulting in travel time variation. A multimodal network equilibrium model is formulated that explicitly considers stochastic link capacity variability in the road network. The travel time of combined-mode trips is accumulated based on the concept of the mean excess travel time (METT) which is a summation of estimated buffer time and tardy time. The problem is characterized by an equivalent VI (variational inequality) formulation where the mode choice is expressed in a hierarchical logit structure. Specifically, the supernetwork theory and expansion technique are used herein to represent the multimodal transportation network, which completely represents the combined-mode trips as constituting multiple modes within a trip. The method of successive weighted average is adopted for problem solutions. The model and solution method are further applied to study the trip distribution and METT variations caused by the different levels of the road conditions. Results of numerical examples show that travelers prefer to choose the combined travel mode as road capacity decreases. Travelers with different attitudes towards risk are shown to exhibit significant differences when making travel choice decisions.

Item Type: Article
Additional Information: Copyright © 2014 M. Meng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Uncontrolled Keywords: Multimodal Network; traffic equilibrium, stochastic travel time
Faculty / School / Research Centre / Research Group: Faculty of Business
Faculty of Business > Networks and Urban Systems Centre (NUSC) > Connected Cities Research Group
Faculty of Business > Department of Systems Management & Strategy
Last Modified: 08 Feb 2019 17:07

Actions (login required)

View Item View Item


Downloads per month over past year

View more statistics