File Size Distributions and Caching for Offloading

Joonas Paakkonen, Prathapasinghe Dharmawansa, Ragnar Freij-Hollanti, Camilla Hollanti, Olav Tirkkonen

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

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Abstract

We consider order statistics of products of random variables to understand the relationship between traffic offloading and storage space consumption in an edge caching network. Given a statistical model for the popularities and sizes of data objects in a caching network, we derive the order statistics describing the probability density function of the size of the object that accounts for, e.g., the largest amount of data traffic. We further study the asymptotic behavior of these distributions, and give analytical results for both the general case and the asymptotic case. The derived results can be used to estimate an upper bound on the cache size needed when one is interested in offloading a certain fraction of all traffic for file catalogues with changing content but known distributions of popularities and object sizes.

Original languageEnglish
Title of host publication2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2019
PublisherIEEE
ISBN (Electronic)978-1-5386-6528-2
ISBN (Print)978-1-5386-6529-9
DOIs
Publication statusPublished - 1 Jul 2019
MoE publication typeA4 Article in a conference publication
EventIEEE International Workshop on Signal Processing Advances in Wireless Communications - Cannes, France
Duration: 2 Jul 20195 Jul 2019
Conference number: 20

Publication series

Name IEEE International Workshop on Signal Processing Advances in Wireless Communications
ISSN (Print)2325-3789
ISSN (Electronic)1948-3252

Workshop

WorkshopIEEE International Workshop on Signal Processing Advances in Wireless Communications
Abbreviated titleSPAWC
CountryFrance
CityCannes
Period02/07/201905/07/2019

Keywords

  • Caching
  • Order Statistics

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