“…In the top-down (Hsu, Lee, & Chen, 2001;Yee, Navathe, Omiecinski, & Jermaine, 2002) approach, we start from a large partition, possibly including all the items, and gradually split it into smaller pieces. In the bottom-up (Hwang, Cho, & Hwang, 2001;Katsaros & Manolopoulos, 2004), we start with many small partitions which gradually grow, whereas the one-scan (Vaidya & Sohail, 1999) approach makes a single scan over the vector P = p 1 , p 2 , …, p n of the access probabilities, assigning items to channels based on some criterion. The top-down and bottom-up make multiple passes over P (or parts of it) and make splitting or concatenating decisions based on the computation of Equation 8 over P (or portions of it).…”