Mixed equilibrium behavior and market penetration with global demand elasticity under advanced traveler information systems

In this paper, we study the mixed equilibrium behavior problem in an elastic demand transportation system with advanced traveler information systems (ATIS). Two classes of drivers, equipped with and unequipped with ATIS respectively, exist in the system and make their route choices in a logit-based stochastic manner with different travel time perception errors. The market penetration of ATIS is determined by an increasing function of the information benefit that is measured by the average travel time saving from the ATIS service. The global travel demand is dependent upon the expected minimum perceived travel time between origin-destination pair. We present a modeling approach to capture these model components. A solution method is proposed and validated by a numerical example.