Download e-book for iPad: Algorithms for Memory Hierarchies: Advanced Lectures by Peter Sanders (auth.), Ulrich Meyer, Peter Sanders, Jop

By Peter Sanders (auth.), Ulrich Meyer, Peter Sanders, Jop Sibeyn (eds.)

ISBN-10: 3540008837

ISBN-13: 9783540008835

Algorithms that experience to method huge facts units need to remember that the price of reminiscence entry is dependent upon the place the information is saved. conventional set of rules layout is predicated at the von Neumann version the place accesses to reminiscence have uniform fee. real machines more and more deviate from this version: whereas anticipating reminiscence entry, these days, microprocessors can in precept execute a thousand additions of registers; for hard drive entry this issue can achieve six orders of magnitude.

The sixteen coherent chapters during this monograph-like instructional booklet introduce and survey algorithmic innovations used to accomplish excessive functionality on reminiscence hierarchies; emphasis is put on tools attention-grabbing from a theoretical in addition to vital from a pragmatic element of view.

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Extra resources for Algorithms for Memory Hierarchies: Advanced Lectures

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Of course, if B is large and the load factor is not too high, overflows will be very rare. This can be exploited, as discussed in the next section. 2. 2 Lookup Using One External Memory Access In the previous section we looked at hashing schemes with good expected lookup behavior. Of course, an expected bound may not be good enough for some applications where a firm guarantee on throughput is needed. In this and the following section we investigate how added resources may provide dictionaries in which lookups take just the time of a single I/O in the worst case.

Summing up, both insertions and deletions are done in 1/B I/O, in the amortized sense. This is the best performance we could hope for when storing or retrieving a sequence of data items much larger than internal memory, since no more that B items can be read or written in one I/O. A desired goal in many external memory data structures is that when reporting a sequence of elements, only O(1/B) I/O is used per element. 3. 1. Why does the stack not use a buffer of size B? 16 Rasmus Pagh An External Queue.

Below we summarize the properties of some other useful B-tree variants and extensions. 24 Rasmus Pagh Parent Pointers and Level Links. It is simple to extend basic B-trees to maintain a pointer to the parent of each node at no additional cost. A similarly simple extension is to maintain that all nodes at each level are connected in a doubly linked list. One application of these pointers is a finger search: Given a leaf v in the B-tree, search for another leaf w. We go up the tree from v until the current node or one of its level-linked neighbors has w below it, and then search down the tree for w.

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Algorithms for Memory Hierarchies: Advanced Lectures by Peter Sanders (auth.), Ulrich Meyer, Peter Sanders, Jop Sibeyn (eds.)

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