Approximation of Performance Measures in an M/G/1 Queue with Breakdowns

Abstract: We present a new perturbation bound in an / /1 M G queueing system with breakdowns and repairs. Our analysis is based on bounding the distance of stationary distributions in a suitable functional space. This leads to understand how the breakdowns of the server will affect the system's level of performance. In order to give an idea about the application of our approach in practice, we give a numerical example which would show the difference between explicit analytical estimates of errors and real simulated errors. It also allows for evaluating the potential of our approach. Eventually, we will point out directions of further research.