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General Caching Is Hard: Even with Small Pages

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369124" target="_blank" >RIV/00216208:11320/17:10369124 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00453-016-0185-0" target="_blank" >http://dx.doi.org/10.1007/s00453-016-0185-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00453-016-0185-0" target="_blank" >10.1007/s00453-016-0185-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    General Caching Is Hard: Even with Small Pages

  • Original language description

    Caching (also known as paging) is a classical problem concerning page replacement policies in two-level memory systems. General caching is the variant with pages of different sizes and fault costs. The strong NP-hardness of its two important cases, the fault model (each page has unit fault cost) and the bit model (each page has the same fault cost as size) has been established, but under the assumption that there are pages as large as half of the cache size. We prove that this already holds when page sizes are bounded by a small constant: The bit and fault models are strongly NP-complete even when page sizes are limited to {1, 2, 3}. Considering only the decision versions of the problems, general caching is equivalent to the unsplittable flow on a path problem and therefore our results also improve the hardness results about this problem.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Algorithmica

  • ISSN

    0178-4617

  • e-ISSN

  • Volume of the periodical

    79

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    21

  • Pages from-to

    319-339

  • UT code for WoS article

    000406779100002

  • EID of the result in the Scopus database