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Conclusions and Topics for Further Research
An Analysis of Drum Storage Units
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Abate and Dubner analysis approximation arcs central processor Chapter circular list circumference computer systems critical interval critical region cylinder defined denote discussed drum organization drum revolution drum scheduling algorithm drum storage unit endpoints expected waiting exponentially distributed f node FIFO paging drum Figure fixed-head drum function Hence I/O channel I/O requests I/O waiting implementation integer Lemma Markov chain minimal matching procedure moment generating function MTPT algorithm MTPT and SLTF MTPT disciplines MTPT scheduling algorithm MTPT2 MTPTO N*logN ordered bipartite graph performance permutation i|r Poisson process queueing models random arrivals random variables read-write heads record lengths rotating storage units rotational delays rotational latency scheduling discipline sector queue sequence server set of I/O shown in Fig single cycle permutation single I/O channel SLTF and MTPT SLTF file drum SLTF paging drum starting addresses Step terminal node Theorem uniformly distributed zero cost interchange