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The theoretically optimal page replacement algorithm (also known as OPT, clairvoyant replacement algorithm, or Bélády's optimal page replacement policy) [3] [4] [2] is an algorithm that works as follows: when a page needs to be swapped in, the operating system swaps out the page whose next use will occur farthest in the future. For example, a ...
For example, Graph (c) is produced after page E is accessed on Graph (a). When there is a miss and a resident page has to be replaced, the resident HIR page at the bottom of Stack Q is selected as the victim for replacement. For example, Graphs (d) and (e) are produced after pages D and C are accessed on Graph (a), respectively.
A page is in the working set if it is referenced in the working set window. To avoid the overhead of keeping a list of the last k referenced pages, the working set is often implemented by keeping track of the time t of the last reference, and considering the working set to be all pages referenced within a certain period of time.
Bélády's algorithm is the optimal cache replacement policy, but it requires knowledge of the future to evict lines that will be reused farthest in the future. A number of replacement policies have been proposed which attempt to predict future reuse distances from past access patterns, [23] allowing them to approximate the optimal replacement ...
A 1.945-competitive algorithm was presented by Karger, Philips and Torng in 1994. [11] In 1992, Albers provided a different algorithm that is 1.923-competitive. [12] Currently, the best known result is an algorithm given by Fleischer and Wahl, which achieves a competitive ratio of 1.9201. [13] A lower bound of 1.852 was presented by Albers. [14]
Let P and Q be two sets, each containing N points in .We want to find the transformation from Q to P.For simplicity, we will consider the three-dimensional case (=).The sets P and Q can each be represented by N × 3 matrices with the first row containing the coordinates of the first point, the second row containing the coordinates of the second point, and so on, as shown in this matrix:
John Speed's Genealogies recorded in the Sacred Scriptures (1611), bound into first King James Bible in quarto size (1612). The title of the first edition of the translation, in Early Modern English, was "THE HOLY BIBLE, Conteyning the Old Teſtament, AND THE NEW: Newly Tranſlated out of the Originall tongues: & with the former Tranſlations diligently compared and reuiſed, by his Maiesties ...
Some programs allow the conversion of Java programs from one version of the Java platform to an older one (for example Java 5.0 backported to 1.4) (see Java backporting tools). Regarding Oracle's Java SE support roadmap, [ 4 ] Java SE 23 is the latest version, while versions 21, 17, 11 and 8 are the currently supported long-term support (LTS ...