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Comparing locality of reference - Some folk theorems for the miss rates and the output of caches

dc.contributor.authorMakowski, Armand M.en_US
dc.contributor.authorVanichpun, Saruten_US
dc.description.abstractThe performance of demand-driven caching is known to depend on the locality of reference exhibited by the stream of requests made to the cache. In spite of numerous efforts, no consensus has been reached on how to formalize this notion, let alone on how to compare streams of requests on the basis of their locality of reference. We take on this issue with an eye towards validating operational expectations associated with the notion of locality of reference. We focus on two ``folk theorems," namely (i) The stronger locality of reference, the smaller the miss rate of the cache; (ii) Good caching is expected to produce an output stream of requests exhibiting less locality of reference than the input stream of requests. We discuss these two folk theorems in the context of a cache operating under a demand-driven replacement policy when document requests are modeled according to the Independent Reference Model (IRM). As we propose to measure strength of locality of reference in a stream of requests through the skewness of its popularity distribution, we introduce the notion of majorization as a mean for capturing this degree of skewness. We show that these folk theorems hold for caches operating under a large class of cache replacement policies, including he optimal policy A_0 and the random policy, but may fail under the LRU policyen_US
dc.format.extent543508 bytes
dc.relation.ispartofseriesISR; TR 2004-10en_US
dc.relation.ispartofseriesCSHCN; TR 2004-6en_US
dc.subjectGlobal Communication Systemsen_US
dc.titleComparing locality of reference - Some folk theorems for the miss rates and the output of cachesen_US
dc.typeTechnical Reporten_US

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