Abstract
The behavior of a two-level storage system operating with the least recently used (LRU) or the first-in, first-out (FIFO) replacement strategy, where accesses to the main storage are described by the independent reference model (IRM), is discussed. Let the size of main storage be m. It is proved that the miss ratio (i.e., the steady-state probability that the item currently required is not in main storage) exhibits the following properties: the miss ratio is a convex function of m under LRU, the function (1-miss ratio)/m is nonincreasing in m under FIFO, and the miss ratio is a Schur-convex function of the reference probabilities under FIFO. >
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have