By Dr. Samuel H. Fuller (auth.)
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Additional info for Analysis of drum and disk storage units
4 but the error introduced by these approximations is slight for large R, and as R becomes small 3 the second assumption causes large overestimations of numbers. However~ for larger 9~ the third approximation, related to Feller's waiting time paradox~ dominates and the error it introduces becomes severe as p ~ 1. Consequently~ attempts to make a significant practical improvement over the two-stage model should not dwell on removing the exponential approximation to the latency interval, but rather on the second and third approximations.
P(z) = Z 0~n<~ = p < ~ ~T+I 0 < Applying the in Eq. 20) For our third model of the SLTF file drum we turn to an article by Abate and Dubner . Although the majority of their paper is concerned with a particular variant of the SLTF scheduling discipline implemented by Burroughs ~ their approach can be applied to the SLTF file drum discussed here. Abate drum and Dubner presented appropriate do in fact here, changes and Eq. 22) in notation. discuss is their the model Eq. (14), of a SLTF with file 44 Abate and Dubner's analysis~ when applied to a file drum with pure SLTF scheduling~ into three~ request previous zero D the R + from discussions~ that assumptions of the P3 and record at read length~ that its and on R.
3 shows Fig. ~---~P~] 1 / e - (½ + ~ ) - and generates units at the model in computer have by and empirical indistinguishable system arrive we the processor-drum storage empirical all means drum times follow an extend the previous consider a simple case requests to be processed figure. systems considered of from the to the some the Poisson undefined exponential of models the by by type the removing of drum.