Exact analysis of TTL cache networks: the case of caching policies driven by stopping times

Daniel S. Berger, Philipp Gland, Sahil Singla, Florin Ciucu

Abstract: TTL caching models have recently regained significant research interest, largely due to their ability to fit popular caching policies such as LRU. In this extended abstract we briefly describe our recent work on two exact methods to analyze TTL cache networks. 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. The obtained results are further generalized, using the second method, to feedforward networks with Markov arrival processes (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 input-output caching operations as proven herein for phase-type TTL distributions. The crucial benefit of the two closure properties is that they jointly enable the first exact analysis of feedforward networks of TTL caches in great generality.