Abstract
This paper is concerned with online caching algorithms for the ( n, k)-companion cache, defined by Brehob et al. (J. Scheduling 6 (2003) 149). In this model the cache is composed of two components: a k-way set-associative cache and a companion fully associative cache of size n. We show that the deterministic competitive ratio for this problem is ( n+1)( k+1)−1, and the randomized competitive ratio is O( log n log k) and Ω( log n+ log k) .
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