On broadcast disk paging (1998) [20 citations — 5 self]
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@ARTICLE{Khanna98onbroadcast,author = {Sanjeev Khanna and Vincenzo Liberatore},
title = {On broadcast disk paging},
journal = {SIAM Journal on Computing},
year = {1998},
volume = {29},
pages = {634--643}
}
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Abstract:
Broadcast disks are an emerging paradigm for massive information dissemination. In a broadcast disk, data is divided into n equal-sized pages and pages are broadcast in a roundrobin manner by a server. Broadcast disks are effective because many clients can simultaneously retrieve any transmitted information. Paging is used by the clients to improve performance, much as in virtual memory systems. However, paging on broadcast disks differs from virtual memory paging in at least two fundamental aspects: ffl A page fault in the broadcast disk model has a variable cost that depends on the requested page as well as the current state of the broadcast. ffl Prefetching is both natural and a provably essential mechanism for achieving significantly better competitive ratios in broadcast disk paging. In this paper, we design a deterministic algorithm that uses prefetching to achieve an O(n log k) competitive ratio for the broadcast disk paging problem, where k denotes the size of the client's cache. We also show a matching lower bound of \Omega\Gamma n log k) that applies even when the adversary is not allowed to use prefetching. In contrast, we show that when prefetching is not allowed, no deterministic online algorithm can achieve a competitive ratio better than \Omega\Gamma nk). Moreover, we show a lower bound of \Omega\Gamma n log k) on the competitive ratio achievable by any non-prefetching randomized algorithm against an oblivious adversary. These lower bounds are trivially matched from above by known results about deterministic and randomized marking algorithms for paging. An interpretation of our results is that in
