Download e-book for iPad: Algorithmic Studies in Mass Storage Systems by C.K. Wong

By C.K. Wong

ISBN-10: 3642693520

ISBN-13: 9783642693526

ISBN-10: 3642693547

ISBN-13: 9783642693540

A significant technological development for giant database structures has been the advent of ever-larger mass garage structures. this permits computing facilities and enterprise information processing installations to keep up online their application libraries, much less usually used information documents, transaction logs and backup copies less than unified approach keep an eye on. Tapes, disks and drums are classical examples of mass garage media. The newer IBM 3851 Mass garage Facility, a part of the IBM 3850 Mass garage approach, represents a brand new path in mass garage improvement, specifically, it's two-dimensional. With the adulthood of magnetic bubble know-how, extra refined, monstrous, multi-trillion-bit garage structures should not a ways sooner or later. whereas huge in capability, mass garage structures have mostly quite lengthy entry occasions. given that list entry possibilities usually are not uniform, a number of algorithms were devised to put the files to diminish the typical entry time. the 1st chapters of this ebook are dedicated regularly to such algorithmic reviews in linear and two-dimensional mass garage platforms. within the 3rd bankruptcy, we view the bubble reminiscence as greater than a garage medium. in reality, we speak about diversified constructions the place regimen operations, akin to facts rearrangement, sorting, looking out, etc., might be performed within the reminiscence itself, liberating the CPU for extra complex initiatives. the issues mentioned during this e-book are combinatorial in nature.

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R n indexing, arrangement can be represented by an n-tuple f3 any so that bell-shaped = (bl' ... ,b n), where b l = land bj = { 1 if record R j is placed to the right of R 1 ; o if record R j is placed to the left of RI for i=2, ... ,n. Since p/fj~Pj+l/fj+l for l:::;i

H+r for some I~h~n - r. Moreover, the optimal arrangement is in a class of arrangements which we call the "bell-shaped" arrangements. exists there An arrangement is bell-shaped if position a P/fl~ ... ~Ph/fh~ ... ~Pnifn' h(1 ~h~n) As can be seen, that such the arrangement is bell-shaped with respect to the p/ f i ratios. 2 Let 'ITo be an optimal arrangement of a set of records with access probabilities {PI, ... ,Pn} and the corresponding lengths U1, .. ,fn}' Let there be r+I records with the highest p/f i ratio.

Pn} and lengths {f I ,... in {Pi}' Moreover, for every odd n~3, there are 1$I$n sets of records for which the ratio D('TT')/D('TT") can approach 1/(2p min) + p min /2 arbitrarily closely. Proof Let P'i and pili denote the access probabilities of records assigned to the i-th position in the arrangements 'TT' and 'TT" respectively, and let R'i and R"i denote the corresponding lengths. :. ,(1 - e)/(n - 1)} and the corresponding lengths {x/e,l, ... ,l}, where e is smaller than (1-e)(n-l) and x is a large Let positive number.

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Algorithmic Studies in Mass Storage Systems by C.K. Wong

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