Estimating response time distribution of server application in software aging phenomenon

Abstract

This paper considers the estimation algorithm for response time distribution of a server application under the environment where software aging occurs. We develop the continuous-time Markov chain (CTMC) model to represent the degradation level of server and then show that the response time distribution can be represented by a Markov-modulated compound Poisson process (MMCPP). The estimation algorithm for the response time distribution is given by the EM algorithm for MMCPP. In a numerical example, we demonstrate the response time estimation for the experimental data of MySQL server.