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Stochastic User Equilibrium Traffic Model Assignment Based on Travel Time Budget

Aiwu Kuang, Zhongxiang Huang, Wai Kin Victor Chan

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Abstract

This paper first analyzes link and route travel time distribution in a degradable road network by assuming a uniform distribution on the capacity of each link. It is postulated that travelers, by acquiring route travel time variability form past experiences, make route decisions based on a travel time budget, which is a summation of the mean route travel time and the safety margin of the travel time. This paper then formulates a novel travel time budget-based stochastic user equilibrium traffic assignment model with multiple user classes and elastic demand as a variational inequality problem. Finally, a numerical example of a small road network is presented to illustrate the properties of the proposed model.

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What this paper is about

This paper first analyzes link and route travel time distribution in a degradable road network by assuming a uniform distribution on the capacity of each link. It is postulated that travelers, by acquiring route travel time variability form past experiences, make route decisions based on a travel time budget, which is a summation of the mean route travel time and the safety margin of the travel time. This paper then formulates a novel travel time budget-based stochastic user equilibrium traffic assignment model with multiple user classes and elastic demand as a variational inequality problem. Finally, a numerical example of a small road network is presented to illustrate the properties of the proposed model.

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Available abstract

This paper first analyzes link and route travel time distribution in a degradable road network by assuming a uniform distribution on the capacity of each link. It is postulated that travelers, by acquiring route travel time variability form past experiences, make route decisions based on a travel time budget, which is a summation of the mean route travel time and the safety margin of the travel time. This paper then formulates a novel travel time budget-based stochastic user equilibrium traffic assignment model with multiple user classes and elastic demand as a variational inequality problem. Finally, a numerical example of a small road network is presented to illustrate the properties of the proposed model.

Key concepts: Variational inequality, Travel time, Computer science, Margin (machine learning), Time budget, Distribution (mathematics), Transport engineering, Operations research

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