2019
DOI: 10.1109/twc.2019.2940667
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The Study of Dynamic Caching via State Transition Field—the Case of Time-Varying Popularity

Abstract: In the second part of this two-part paper, we extend the study of dynamic caching via state transition field (STF) to the case of time-varying content popularity. The objective of this part is to investigate the impact of time-varying content popularity on the STF and how such impact accumulates to affect the performance of a replacement scheme. Unlike the case in the first part, the STF is no longer static over time, and we introduce instantaneous STF to model it. Moreover, we demonstrate that many metrics, s… Show more

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Cited by 17 publications
(8 citation statements)
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“…According to (22), the average delay increases with the refreshing probability p. This is reasonable since the queueing delay increases with traffic load. As p decreases with W , the average delay decreases with the refreshing window.…”
Section: Service Delay Analysismentioning
confidence: 90%
See 1 more Smart Citation
“…According to (22), the average delay increases with the refreshing probability p. This is reasonable since the queueing delay increases with traffic load. As p decreases with W , the average delay decreases with the refreshing window.…”
Section: Service Delay Analysismentioning
confidence: 90%
“…Cache update deals with the popularity variation in spatial or temporal domains. Specifically, the items with faded popularity are discarded to make room for new popular ones, so as to maintain the content hit rate [21], [22]. With perfect knowledge of content popularity, existing works have proposed to update the cache during offpeak hours, by utilizing the idle transmission resources opportunistically [23], [24].…”
Section: Literature Reviewmentioning
confidence: 99%
“…where ρ LRU e(k,m)|k represents the conditional probability that content e(k, m) is the least recently used content given that the cache is in state k. The probability ρ LRU e(k,m)|k can be found, as a simplified special case under IRM, based on Lemma 1 in the second part of this two-part paper, which addresses the more general case of time-varying content popularity [31].…”
Section: Lrumentioning
confidence: 99%
“…The first part of this work focuses on the case when the content popularity is time-invariant while the second part investigates the scenario of time-varying content popularity [31]. Through the two parts of this paper, we demonstrate that a replacement scheme corresponds to a unique state transition matrix, which in turn generates a unique STF, and the resulting STF jointly determines the performance of the replacement scheme with the content request statistics.…”
Section: Introductionmentioning
confidence: 98%
“…The latter case requires to download new versions of the cached items from time to time to guarantee the content effectiveness. Extensive efforts have been devoted on cache update considering the content popularity variation, including popularity prediction and content replacement algorithm design [11], [12]. However, the dynamic content variations of cached items has been seldom considered.…”
Section: Introductionmentioning
confidence: 99%