Principles of Optimal Page Replacement
Journal of the ACM (JACM)
On the Optimality of the Probability Ranking Scheme in Storage Applications
Journal of the ACM (JACM)
Properties of the working-set model
Communications of the ACM
ACM Transactions on Computer Systems (TOCS)
Cold-start vs. warm-start miss ratios
Communications of the ACM
Performance analysis of three related assignment problems
SIGMOD '79 Proceedings of the 1979 ACM SIGMOD international conference on Management of data
Bibliography on paging and related topics
ACM SIGOPS Operating Systems Review
A time invariant working set model for independent reference
ACM-SE 33 Proceedings of the 33rd annual on Southeast regional conference
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A theoretical justification is given to the empirical observation that in some computing systems with a paged, 2-level storage hierarchy, long-term miss ratio is roughly independent of page size. Let MISS be the expected working-set miss ratio in the independent reference model, with expected working set size CAP pages. Now form blocks, by combining the B pages with the highest probabilities of reference into one block, the B pages with the next-highest probabilities of reference into a second block, and so on. Let MISS* be the expected working-set miss ratio when all data are moved in blocks and when the expected working set size is again CAP pages, that is, CAP/B = C blocks. It is proved that | MISS — MISS* | C) + (33/C2). Thus, if the expected working-set size (in blocks) is sufficiently large, then the miss ratios in the blocked and unblocked cases are approximately equal. This result is used to argue the approximate independence of miss ratio on page size in more realistic models of page references.