skip to main content
article

Paging with Request Sets

Published: 22 December 2008 Publication History

Abstract

A generalized paging problem is considered. Each request is expressed as a set of u pages. In order to satisfy the request, at least one of these pages must be in the cache. Therefore, on a page fault, the algorithm must load into the cache at least one page out of the u pages given in the request. The problem arises in systems in which requests can be serviced by various utilities (e.g., a request for a data that lies in various web-pages) and a single utility can service many requests (e.g., a web-page containing various data). The server has the freedom to select the utility that will service the next request and hopefully additional requests in the future.
The case u=1 is simply the classical paging problem, which is known to be polynomially solvable. We show that for any u>1 the offline problem is NP-hard and hard to approximate if the cache size k is part of the input, but solvable in polynomial time for constant values of k. We consider mainly online algorithms, and design competitive algorithms for arbitrary values of k, u. We study in more detail the cases where u and k are small. We also give an algorithm which uses resource augmentation and which is asymptotically optimal for u=2.

Cited By

View all
  • (2019)The optimal structure of algorithms for α-pagingInformation Processing Letters10.1016/j.ipl.2015.07.011115:12(932-938)Online publication date: 6-Jan-2019

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Theory of Computing Systems
Theory of Computing Systems  Volume 44, Issue 1
December 2008
139 pages

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 22 December 2008

Author Tags

  1. Competitive analysis
  2. Online algorithms
  3. Paging

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 19 Oct 2024

Other Metrics

Citations

Cited By

View all
  • (2019)The optimal structure of algorithms for α-pagingInformation Processing Letters10.1016/j.ipl.2015.07.011115:12(932-938)Online publication date: 6-Jan-2019

View Options

View options

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media