Analysis of the traffic running cost under random route choice behavior in a network with two routes

•The car-following model is utilized to explore the driving behavior in a network.•Each driver’s three running costs are studied in a network.•Three total running costs are studied in a network.

In this paper, a car-following model is used to study each driver’s three running costs in a network with two routes under the random route choice behavior. The numerical results indicate that each driver’s three running costs and the corresponding total cost are relevant to the gap of the time the driver enters the network. The results can help us to further explore each driver’s trip cost in a more complex network under other route choice behavior.