S. J. Waters. Hit ratio. Computer Journal, 19(1):21--24, 1976.

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An Analysis of Schedules for Performing Multi-Page Requests - Seeger (1996)   (14 citations)  (Correct)

....number of target pages is high. In this subsection, an approximate formula is given for the seek cost which is based on the expected number of target cylinders. The (exact) expected number of target cylinders can iteratively be computed by using a formula that was independently derived by Waters [Wat76] and Yao [Yao77] The formula was originally proposed for a problem in a different context. In order to avoid iterative computations several approximations of the formula have been proposed in the literature [Car75, Wat76, DS94] In [DS94] a upper bound and a lower bound of the formula were ....

....be computed by using a formula that was independently derived by Waters [Wat76] and Yao [Yao77] The formula was originally proposed for a problem in a different context. In order to avoid iterative computations several approximations of the formula have been proposed in the literature [Car75, Wat76, DS94] In [DS94] a upper bound and a lower bound of the formula were derived that are both accurate approximations. By using the upper bound, the number of target cylinders is approximately given as x = C F (1 Gamma (1 Gamma 1 C F ) N 2 (1 Gamma PC PC C F Gamma N 1 ) N 2 ) ....

S. J. Waters. Hit ratio. Computer Journal, 19(1):21--24, 1976.

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