A RCAT application and operational analysis on a fetching queueing network

Abstract

In this work, we present a RCAT application and an operational analysis on a particular queueing network model. Starting from the model designed by D. Gates and M. Westcott in their paper "Replacement of Train Wheels: An application of Dynamic Reversal of a Markov Process" we decided to transpose it into the computing systems context. Our aim is to provide an alternative path to prove the product-form solution of the equilibrium distribution of this model, possibly simplifying the existing one through the use of the Reversed Compound Agent Theorem (RCAT). Moreover, we investigate the possibility of expanding the model from the tandem configuration to a configuration allowing feedback and in general to different topologies.