This paper introduces a new scheme, called ABshoot, for measuring end-to-end available bandwidth. In ABshoot, we first use an unevenly spaced probe stream, which is statistically constructed based on the knowledge of end-to-end capacity, to quickly identify the turning point within the stream. Then we use evenly spaced probe streams with the probing rates close to the turning point to thoroughly explore end-to-end available bandwidth. We test ABshoot in simulation and compare it with current state-of-the-art techniques. The results prove that ABshoot provides accurate estimations with light overhead traffic.