Download Algorithms and Data Structures for External Memory by Jeffrey Scott Vitter PDF

By Jeffrey Scott Vitter

ISBN-10: 1601981066

ISBN-13: 9781601981066

Info units in huge purposes are frequently too monstrous to slot thoroughly contained in the computer's inner reminiscence. The ensuing input/output verbal exchange (or I/O) among quick inner reminiscence and slower exterior reminiscence (such as disks) could be a significant functionality bottleneck. Algorithms and information constructions for exterior reminiscence surveys the cutting-edge within the layout and research of exterior reminiscence (or EM) algorithms and information constructions, the place the aim is to use locality and parallelism in an effort to decrease the I/O expenses. various EM paradigms are thought of for fixing batched and on-line difficulties successfully in exterior reminiscence. Algorithms and knowledge buildings for exterior reminiscence describes numerous priceless paradigms for the layout and implementation of effective EM algorithms and knowledge buildings. the matter domain names thought of contain sorting, permuting, FFT, clinical computing, computational geometry, graphs, databases, geographic info structures, and textual content and string processing. Algorithms and information buildings for exterior reminiscence is a useful reference for anyone attracted to, or accomplishing examine within the layout, research, and implementation of algorithms and knowledge constructions.

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1 The ratio of the number of I/Os used by simple randomized merge sort (SRM) to the number of I/Os used by merge sort with disk striping, during a merge of kD runs, where kD ≈ M/2B. The figures were obtained by simulation. 1. 3 Prefetching, Caching, and Applications to Sorting In this section, we consider the problem of prefetch scheduling for parallel disks: We are given a sequence of blocks Σ = b1 , b2 , . . , bN . The initial location of the blocks on the D disks is prespecified by an arbitrary function disk : Σ → {1, 2, .

202] noticed a natural correspondence between a prefetch schedule for a read-once sequence Σ and an output schedule for the write-once sequence ΣR , where ΣR denotes the sequence of 46 External Sorting and Related Problems blocks of Σ in reverse order. In the case of the write-once problem, the following natural greedy output algorithm is optimum: As the blocks of ΣR are written, we put each block into an output buffer for its designated disk. There are m output buffers, each capable of storing one block, so the writing can proceed only as quickly as space is freed up in the write buffers.

1 Sorting by Distribution Distribution sort [220] is a recursive process in which we use a set of S − 1 partitioning elements e1 , e2 , . . 1 for the case D = 1. The ith bucket, for 1 ≤ i ≤ S, consists of all items with key value in the interval [ei−1 , ei ), where by convention we let e0 = −∞, eS = +∞. The important property of the partitioning is that all the items in one bucket precede all the items in the next bucket. Therefore, we can complete the sort by recursively sorting the individual buckets and concatenating them together to form a single fully sorted list.

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