A Product-Form Model for the Analysis of Systems with Aging Objects

@article{Cavallin2015APM,
  title={A Product-Form Model for the Analysis of Systems with Aging Objects},
  author={Filippo Cavallin and Andrea Marin and Sabina Rossi},
  journal={2015 IEEE 23rd International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems},
  year={2015},
  pages={136-145}
}
In this paper we propose a new model for the analysis of systems with aging objects such as Time-To-Live cache. We consider a model with an underlying Continuous Time Markov Chain in which objects can be completely or partially rejuvenated. In the former case the object becomes fresh, while in the latter all the objects are simultaneously rejuvenated so that the youngest becomes fresh. We show that under the so-called Independent Reference Model assumption our model is numerically tractable and… CONTINUE READING

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