Abstract
This paper studies the dynamics of the traveler′s day‐to‐day route adjustment process in the general transportation network with fixed or elastic demand and homogeneous or heterogeneous users. Each traveler is assumed to adjust his/her route choice according to the excess travel cost between the instantaneous experienced travel cost and a certain referred level, which induces an aggregate path flow dynamics. We call the path flow dynamics the excess travel cost dynamics, which corresponds to the excess payoff dynamics in evolutionary games and serves a general framework of modeling the homogeneous or heterogeneous route choice behavior of travelers.
Highlights
Network equilibrium models have a long history, both in the transport research literature and in practical studies of scheme assessment, since the notion of user equilibrium UE was proposed 1
The day-to-day route choice adjustment process is the RBAP with fixed travel demand if the aggregated travel cost of the entire network decreases based on the previous day’s path travel costs when path flows change from day to day; otherwise, if path flow becomes stationary over day, it is equivalent to the user equilibrium path flow
We presented an excess travel cost dynamics to model travelers’ route choice behavior in a transportation network with fixed or elastic demand and homogeneous or heterogeneous users
Summary
Network equilibrium models have a long history, both in the transport research literature and in practical studies of scheme assessment, since the notion of user equilibrium UE was proposed 1. Yang and Zhang focused on the deterministic dynamic route adjustment process on modeling drivers dynamic route choice adjustment behavior and proved that many commonly used dynamic processes are so-called Rational Behavior Adjustment Process RBAP since the aggregated travel cost of the entire network decreases over days except that the path flow becomes stationary and is the user equilibrium path flow. If the road pricing scheme is adopted in the transportation network as Sandholm 12 , the day-to-day route adjustment process should incorporate the travelers’ heterogeneous behavior since they value the monetary and time costs in different ways. The excess travel cost dynamics serves as a more general framework than the rational behavior adjustment process for modeling the travelers’ dynamic route choice behavior in the transportation network with fixed or elastic demand, homogeneous or heterogeneous users.
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