A Reliability-Based Traffic Equilibrium Model with Boundedly Rational Travelers Considering Acceptable Arrival Thresholds

Abstract

This paper examines the effects of boundedly rational decision characteristics on travelers’ route choice behavior. The concept of boundedly rational confidence level (BRCL) is redefined, which is the probability that a trip arrives between the acceptable earliest arrival time and the acceptable latest arrival time on the shortest travel time budget (TTB). Mathematically, the acceptable boundedly rational arrival thresholds are proposed. Then, a reliability-based boundedly rational traffic equilibrium model (R-BRTE) considering both travel time reliability and acceptable arrival thresholds is developed. Moreover, the equivalent variational inequality problem and uniqueness of solution on the proposed model are proved. A route-based solution algorithm is used to solve the proposed R-BRTE model. Numerical results present the important decision ideas of the proposed model. The results demonstrate that travelers’ bounded rationality has a great impact on their route choice behavior and network performance.

A Reliability-Based Network Equilibrium Model with Electric Vehicles and Gasoline Vehicles

“…The famous Wardrop's first principle known as "user equilibrium" (UE) describes such a traffic equilibrium condition that the travel time of all used paths for each origin-destination (O-D) pair is shorter than or equal to that of unused paths, and no traveller can improve their travel time by unilaterally changing paths in this state [9]. Building upon the basic UE principle, numerous extensions and variations have been developed to address specific complexities and nuances in network equilibrium modelling, including stochastic user equilibrium [10,11], dynamic user equilibrium [12], reliability-based network equilibrium [13,14], multiclass network equilibrium [15], multimodal network equilibrium [16] etc.…”