Operations Research, Systems Engineering and Industrial Engineering Commons^™

Stability Of Traffic Flow Behavior With Distributed Delays Modeling The Memory Effects Of The Drivers, Rifat Sipahi, Fatihcan M. Atay, Silviu-Julian Niculescu

Rifat Sipahi

Stability analysis of a single-lane microscopic car-following model is studied analytically from the perspective of delayed reactions of human drivers. In the literature, the delayed reactions of the drivers are modeled with discrete delays, which assume that drivers make their control decisions based on the stimuli they receive from a point of time in the history. We improve this model by introducing a distribution of delays, which assumes that the control actions are based on information distributed over an interval of time in history. Such an assumption is more realistic, as it takes into consideration the memory capabilities of the …