By Dr. Samuel H. Fuller (auth.)
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Additional resources for Analysis of drum and disk storage units
Mass R is probability is not of Consistent conservation drum with start uniformly the same successive variable D to the the arrival. distribution tile drum to variable hence also address The distributed heads request's With starting independent required the average~ modeled p). 21) . 1)~ T(K D is a random drum must no Eq. + instant to a full record or = distance at They divide the waiting time independent terms: W D is the is surprisingly simple. of can be success of trials K is geometrically function: Pr[K = k} = (I - p)pk-i , k = 1,2,...
K-l)T/k~ sector one be process rate the size paging follows arrival of the F is as Skinner's simply a sector model that T T = T r2 = 2 u s i n g Eq. 4)~ the expected waiting time for I/O requests a SLTF p a g i n g drum i s : 1 Define the u t i l i z a t i o n long term~ basic 1 probability conservation 2 - ~ of a drum 3 denoted 0~ Ud~ ~ <1 drum i s k T / k and h e n c e u d = p. 1) to be the equilibrium~ that the drum is t r a n s m i t t i n g principles . information. the u t i l i z a t i o n or From of a paging 33 Coffman  derives this same result from first principles and those interested in a more complete discussion of SLTF paging drums are encouraged to read Coffman's article.
In the case of the SLTF file drum several models are presented and compared with a simulation model of an SLTF file drum to evaluate their utility and the validity of their approximations. Finallyj we remove the assumption of Poisson arrivals and explore the performance of a model of a computer system consisting of a central processor and an SLTF file drum. 2. Analysis of the FIFO Drum Scheduling Discipline This section discusses the first-in-first-out discipline applied to drum storage units. (FIFO) scheduling Expressions are developed for the expected waiting time for I/O requests to file drums, paging drums~ and a variation of the paging drum, the sectored file drum.
Analysis of drum and disk storage units by Dr. Samuel H. Fuller (auth.)