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An O(log k)-competitive algorithm for generalized caching
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Adamaszek, Anna, Czumaj, Artur, Englert, Matthias and Räcke , Harald (2018) An O(log k)-competitive algorithm for generalized caching. ACM Transactions on Algorithms , 15 (1). pp. 1-18. 6. doi:10.1145/3280826 ISSN 1549-6325.
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Official URL: https://doi.org/10.1145/3280826
Abstract
In the generalized caching problem, we have a set of pages and a cache of size k. Each page p has a size wpe1 and fetching cost cp for loading the page into the cache. At any point in time, the sum of the sizes of the pages stored in the cache cannot exceed k. The input consists of a sequence of page requests. If a page is not present in the cache at the time it is requested, it has to be loaded into the cache incurring a cost of cp. We give a randomized O(log k)-competitive online algorithm for the generalized caching problem, improving the previous bound of O(log2 k) by Bansal, Buchbinder, and Naor (STOC'08). This improved bound is tight and of the same order as the known bounds for the classic problem with uniform weights and sizes. We use the same LP based techniques as Bansal et al. but provide improved and slightly simplified methods for rounding fractional solutions online.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | |||||||||
| Library of Congress Subject Headings (LCSH): | Cache memory, Online algorithms | |||||||||
| Journal or Publication Title: | ACM Transactions on Algorithms | |||||||||
| Publisher: | Association for Computing Machinery, Inc. | |||||||||
| ISSN: | 1549-6325 | |||||||||
| Official Date: | 30 November 2018 | |||||||||
| Dates: |
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| Volume: | 15 | |||||||||
| Number: | 1 | |||||||||
| Page Range: | pp. 1-18 | |||||||||
| Article Number: | 6 | |||||||||
| DOI: | 10.1145/3280826 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | © Adamaszek, Anna, Czumaj, Artur, Englert, Matthias and Räcke , Harald (2018) ACM. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in ACM Transactions on Algorithms, http://dx.doi.org/10.1145/3280826 | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 9 November 2018 | |||||||||
| Date of first compliant Open Access: | 21 November 2018 | |||||||||
| RIOXX Funder/Project Grant: |
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