The local information gathered by periodic beacons may include some outdated one caused by high mobility of nodes and the interval of beacons in the Vehicular Ad hoc Networks (VANET). Routing protocols for VANET can eliminate outdated links to neighboring nodes effectively if they can estimate the link expiration time. The transmission range is required to get the link duration time, and the value is not only non-fixed in the presence of signal obstacles but also changed more quickly. It is hard to apply the link time in the environment because of that reason. In this paper, we propose an approach to assign a separated transmission range per road segment, that is, Quasi-Boundary, to solve the limitation. We evaluate the effectiveness of our scheme via network simulations, and the scheme gets higher the end-to-end delivery rate by eliminating outdated information.