Berger, Daniel S., Gland, Philipp, Singla, Sahil and Ciucu, Florin (2014) Exact analysis of TTL cache networks. Performance Evaluation, Volume 79 . pp. 2-23. doi:10.1016/j.peva.2014.07.001 ISSN 0166-5316.

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Abstract

TTL caching models have recently regained significant research interest due to their connection to popular caching policies such as LRU. This paper advances the state-of-the-art analysis of TTL-based cache networks by developing two exact methods with orthogonal generality and computational complexity. The first method generalizes existing results for line networks under renewal requests to the broad class of caching policies whereby evictions are driven by stopping times; in addition to classical policies used in DNS and web caching, our stopping time model captures an emerging new policy implemented in SDN switches and Amazon web services. The second method further generalizes these results to feedforward networks with Markov arrival process (MAP) requests. MAPs are particularly suitable for non-line networks because they are closed not only under superposition and splitting, as known, but also under caching operations with phase-type (PH) TTL distributions. The crucial benefit of the two closure properties is that they jointly enable the first exact analysis of TTL feedforward cache networks in great generality. Moreover, numerical results highlight that existing Poisson approximations in binary-tree topologies are subject to relative errors as large as 30%, depending on the tree depth.

Item Type:	Journal Article
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, Querying (Computer science), Machine theory, Computer programming, Markov processes
Journal or Publication Title:	Performance Evaluation
Publisher:	Elsevier Science BV
ISSN:	0166-5316
Official Date:	September 2014
Dates:	Date Event September 2014 Published
Volume:	Volume 79
Page Range:	pp. 2-23
DOI:	10.1016/j.peva.2014.07.001
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	4 April 2016
Date of first compliant Open Access:	4 April 2016
Embodied As:	1

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