Focusing on finding a pre-speciñed basis path in a network, this research formulates a two-stage stochastic optimization
mode l for the least expected time shortest path problem,in which random scenario-based time-invariant link travel times
are utilized to capture the uncertainty of the real-world traffic network. In this model, the first stage aims to find a basis
path for the trip over all the scenarios, and the second stage intends to generate the remainder
path adaptively when the realizations of random link trave l time sare updated after a pre-specified time threshold. The GAMS optimization software is introduced to find the optimal solution of the proposed model. The numerical experiments demonstrate the performance of the proposed approaches