Array access bounds for block storage memory systems

Paging performance can be a dominant factor in a program´s running time. Many seemingly efficient data structures and algorithms lose orders of magnitude in performance because they generate an excessive number of page faults. This study shows that tradeoffs exist between average row access speed S_r (which is defined as the number of row elements retrieved divided by the number of blocks accessed) and average column access speed S_c (defined similarly). The authors prove that the S_r S_c product is optimally bounded by the block size N and generalize to other access patterns. Practical array access strategies are developed, and extensions to these results are discussed