Stochastic fluid models for cache clusters

Florence Clévenot, Philippe Nain, Keith W. Ross

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Clusters of Web caches are extensively used by different types of organizations, including companies, universities, ISPs, and CDNs. To model Web caches, we must account for two types of stochastic events: objects being pulled into/out of the cache cluster at random times, and caches going up and down at random times. Detailed stochastic models of such complex systems quickly become intractable. In this paper we propose a stochastic fluid model which captures the salient characteristics of a cache cluster. The stochastic fluid model replaces the object arrivals to the cluster and departures (object modification/expiration) with a fluid flow, but maintains the up/down dynamics of the original system. The model can be applied to a variety of cluster routing policies, and provides a simple means to estimate the hit rate. We compare the results of the stochastic fluid model with that of a simulation of the real system. We find the fluid model to not only be a close approximation, but also to exhibit the key qualitative properties of the original system. We conclude that stochastic fluid models show great potential in modeling a variety of content distribution systems.

    Original languageEnglish (US)
    Pages (from-to)1-18
    Number of pages18
    JournalPerformance Evaluation
    Volume59
    Issue number1
    DOIs
    StatePublished - Jan 2005

    Keywords

    • Fluid models
    • Palm calculus
    • Stochastic processes
    • Web caching

    ASJC Scopus subject areas

    • Software
    • Modeling and Simulation
    • Hardware and Architecture
    • Computer Networks and Communications

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