Modelling travellers' en-route path switching in a day-to-day dynamical system

Travellers' en-route path switching is a very common travel adjustment behaviour which can significantly influence the whole day-to-day network traffic flow evolution process. This study encapsulated travellers' sequential path adjustment mechanism into a day-to-day dynamical system, to capture travellers' en-route switching effect without actually building a complicated within-day model to go with. According to different path choice behaviours and traffic information sources, three traveller groups were contained in the dynamical system, including the conservative travellers, the adventurous travellers unequipped with advanced traveller information systems (ATISs) and the ATIS-assisted adventurous travellers. In the proposed day-to-day dynamical model, a fixed point problem was established for achieving the heterogeneous traffic flow caused by travellers' en-route path switching. Some stability analysis of the proposed dynamical system was accomplished in the numerical experiment. The effect of en-route path switching behaviour was investigated and it was found to influence both the stability of the dynamical system and the average travel time of adventurous travellers.